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| 2 | ;; ================================================ | 2 | ;; ================================================ | ||
| 3 | ;; SUMO (Suggested Upper Merged Ontology) | 3 | ;; SUMO (Suggested Upper Merged Ontology) | ||
| 4 | ;; ================================================ | 4 | ;; ================================================ | ||
| 5 | 5 | ||||
| 6 | ;; This is the source file for the SUMO (Suggested Upper Merged Ontology), | 6 | ;; This is the source file for the SUMO (Suggested Upper Merged Ontology), | ||
| 7 | ;; an ontology that was developed within the SUO Working Group by merging | 7 | ;; an ontology that was developed within the SUO Working Group by merging | ||
| 8 | ;; the SUO "candidate content" sources and refining and extending this content on | 8 | ;; the SUO "candidate content" sources and refining and extending this content on | ||
| 9 | ;; the basis of various knowledge engineering projects and input from the SUO | 9 | ;; the basis of various knowledge engineering projects and input from the SUO | ||
| 10 | ;; Working Group. | 10 | ;; Working Group. | ||
| 11 | 11 | ||||
| 12 | ;; The SUMO incorporates elements of John Sowa's upper ontology (as described at | 12 | ;; The SUMO incorporates elements of John Sowa's upper ontology (as described at | ||
| 13 | ;; http://www.bestweb.net/~sowa/ontology/toplevel.htm and in Chapter 2 of his | 13 | ;; http://www.bestweb.net/~sowa/ontology/toplevel.htm and in Chapter 2 of his | ||
| 14 | ;; book _Knowledge Representation_, Brooks/Cole, 2000), Russell and Norvig's | 14 | ;; book _Knowledge Representation_, Brooks/Cole, 2000), Russell and Norvig's | ||
| 15 | ;; ontology, PSL (Process Specification Language), Casati and Varzi's theory of | 15 | ;; ontology, PSL (Process Specification Language), Casati and Varzi's theory of | ||
| 16 | ;; holes, Allen's temporal axioms, the relatively noncontroversial elements of | 16 | ;; holes, Allen's temporal axioms, the relatively noncontroversial elements of | ||
| 17 | ;; Smith's and Guarino's respective mereotopologies, the KIF formalization of the | 17 | ;; Smith's and Guarino's respective mereotopologies, the KIF formalization of the | ||
| 18 | ;; CPR (Core Plan Representation), the ontologies available on the Ontolingua | 18 | ;; CPR (Core Plan Representation), the ontologies available on the Ontolingua | ||
| 19 | ;; server maintained by Stanford University's Knowledge Systems Laboratory, the | 19 | ;; server maintained by Stanford University's Knowledge Systems Laboratory, the | ||
| 20 | ;; ontologies developed by ITBM-CNR, some of the spatial relations from an | 20 | ;; ontologies developed by ITBM-CNR, some of the spatial relations from an | ||
| 21 | ;; unpublished paper by Iris Tommelein and Anil Gupta entitled "Conceptual | 21 | ;; unpublished paper by Iris Tommelein and Anil Gupta entitled "Conceptual | ||
| 22 | ;; Structures for Spatial Reasoning", and a "Structural Ontology" proposed by | 22 | ;; Structures for Spatial Reasoning", and a "Structural Ontology" proposed by | ||
| 23 | ;; David Whitten and substantially revised and extended by Chris Menzel. | 23 | ;; David Whitten and substantially revised and extended by Chris Menzel. | ||
| 24 | ;; Note that some of the subclasses of 'Process' in the SUMO were originally | 24 | ;; Note that some of the subclasses of 'Process' in the SUMO were originally | ||
| 25 | ;; inspired by some of the verb classes from the second part of Beth Levin's book | 25 | ;; inspired by some of the verb classes from the second part of Beth Levin's book | ||
| 26 | ;; "English Verb Classes and Alternations: A Preliminary Investigation." | 26 | ;; "English Verb Classes and Alternations: A Preliminary Investigation." | ||
| 27 | 27 | ||||
| 28 | ;; The knowledge representation language in which the SUMO is expressed is SUO-KIF, | 28 | ;; The knowledge representation language in which the SUMO is expressed is SUO-KIF, | ||
| 29 | ;; which stands for "Standard Upper Ontology - Knowledge Interchange Format". SUO-KIF | 29 | ;; which stands for "Standard Upper Ontology - Knowledge Interchange Format". SUO-KIF | ||
| 30 | ;; is a simplified form of the popular KIF knowledge representation language. A | 30 | ;; is a simplified form of the popular KIF knowledge representation language. A | ||
| 31 | ;; specification of SUO-KIF can be found at: http://suo.ieee.org/suo-kif.html. It | 31 | ;; specification of SUO-KIF can be found at: http://suo.ieee.org/suo-kif.html. It | ||
| 32 | ;; should be noted that some of the axioms in the SUMO make use of row variables | 32 | ;; should be noted that some of the axioms in the SUMO make use of row variables | ||
| 33 | ;; (indicated with a "@" prefix). Such variables are not currently part of the SUO- | 33 | ;; (indicated with a "@" prefix). Such variables are not currently part of the SUO- | ||
| 34 | ;; KIF specification, but they simplify matters significantly in some cases. Details | 34 | ;; KIF specification, but they simplify matters significantly in some cases. Details | ||
| 35 | ;; about row variables can be found in the following paper: | 35 | ;; about row variables can be found in the following paper: | ||
| 36 | ;; http://reliant.teknowledge.com/IJCAI01/HayesMenzel-SKIF-IJCAI2001.pdf. | 36 | ;; http://reliant.teknowledge.com/IJCAI01/HayesMenzel-SKIF-IJCAI2001.pdf. | ||
| 37 | 37 | ||||
| 38 | ;; The SUMO is a modular ontology. That is, the ontology is divided into | 38 | ;; The SUMO is a modular ontology. That is, the ontology is divided into | ||
| 39 | ;; self-contained subontologies. Each subontology is indicated by a section | 39 | ;; self-contained subontologies. Each subontology is indicated by a section | ||
| 40 | ;; header, and the dependencies between the subontologies are specified with | 40 | ;; header, and the dependencies between the subontologies are specified with | ||
| 41 | ;; statements of the form ";; INCLUDES '<SUBONTOLOGY>'". These statements are | 41 | ;; statements of the form ";; INCLUDES '<SUBONTOLOGY>'". These statements are | ||
| 42 | ;; found at the beginning of each section. The dependencies between the | 42 | ;; found at the beginning of each section. The dependencies between the | ||
| 43 | ;; various subontologies can also be graphed informally as follows: | 43 | ;; various subontologies can also be graphed informally as follows: | ||
| 44 | ;; | 44 | ;; | ||
| 45 | ;; STRUCTURAL ONTOLOGY | 45 | ;; STRUCTURAL ONTOLOGY | ||
| 46 | ;; + | 46 | ;; + | ||
| 47 | ;; | | 47 | ;; | | ||
| 48 | ;; | | 48 | ;; | | ||
| 49 | ;; + | 49 | ;; + | ||
| 50 | ;; BASE ONTOLOGY | 50 | ;; BASE ONTOLOGY | ||
| 51 | ;; / | | \ | 51 | ;; / | | \ | ||
| 52 | ;; / | | \ | 52 | ;; / | | \ | ||
| 53 | ;; / | | \ | 53 | ;; / | | \ | ||
| 54 | ;; / | | \ | 54 | ;; / | | \ | ||
| 55 | ;; / | | \ | 55 | ;; / | | \ | ||
| 56 | ;; + + + + | 56 | ;; + + + + | ||
| 57 | ;; SET/CLASS THEORY NUMERIC TEMPORAL MEREOTOPOLOGY | 57 | ;; SET/CLASS THEORY NUMERIC TEMPORAL MEREOTOPOLOGY | ||
| 58 | ;; / | | | | 58 | ;; / | | | | ||
| 59 | ;; / | | | | 59 | ;; / | | | | ||
| 60 | ;; / | | | | 60 | ;; / | | | | ||
| 61 | ;; + + + + | 61 | ;; + + + + | ||
| 62 | ;; GRAPH MEASURE PROCESSES +--+ OBJECTS | 62 | ;; GRAPH MEASURE PROCESSES +--+ OBJECTS | ||
| 63 | ;; + + | 63 | ;; + + | ||
| 64 | ;; \ / | 64 | ;; \ / | ||
| 65 | ;; \ / | 65 | ;; \ / | ||
| 66 | ;; \ / | 66 | ;; \ / | ||
| 67 | ;; + + | 67 | ;; + + | ||
| 68 | ;; QUALITIES | 68 | ;; QUALITIES | ||
| 69 | ;; | 69 | ;; | ||
| 70 | ;; | 70 | ;; | ||
| 71 | ;; Note that the "+" sign at the end of an arc indicates the direction of | 71 | ;; Note that the "+" sign at the end of an arc indicates the direction of | ||
| 72 | ;; dependency - the node near the sign includes the subontology at the other | 72 | ;; dependency - the node near the sign includes the subontology at the other | ||
| 73 | ;; end of the arc. Note too that in some cases the dependency is | 73 | ;; end of the arc. Note too that in some cases the dependency is | ||
| 74 | ;; bidirectional. Separating ontologies in cases like these is useful when | 74 | ;; bidirectional. Separating ontologies in cases like these is useful when | ||
| 75 | ;; their respective topics can be cleanly differentiated. | 75 | ;; their respective topics can be cleanly differentiated. | ||
| 76 | 76 | ||||
| 77 | 77 | ||||
| 78 | ;; BEGIN FILE | 78 | ;; BEGIN FILE | ||
| 79 | 79 | ||||
| 80 | 80 | ||||
| 81 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | 81 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 82 | ;; STRUCTURAL ONTOLOGY ;; | 82 | ;; STRUCTURAL ONTOLOGY ;; | ||
| 83 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | 83 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 84 | 84 | ||||
| 85 | ;; INCLUDES 'BASE ONTOLOGY' | 85 | ;; INCLUDES 'BASE ONTOLOGY' | ||
| 86 | 86 | ||||
| 87 | ;; The Structural Ontology consists of definitions of certain syntactic | 87 | ;; The Structural Ontology consists of definitions of certain syntactic | ||
| 88 | ;; abbreviations that can be both heuristically useful and computationally | 88 | ;; abbreviations that can be both heuristically useful and computationally | ||
| 89 | ;; advantageous. | 89 | ;; advantageous. | ||
| 90 | 90 | ||||
| 91 | (instance instance BinaryPredicate) | 91 | (instance instance BinaryPredicate) | ||
| 92 | (domain instance 1 Entity) | 92 | (domain instance 1 Entity) | ||
| 93 | (domain instance 2 SetOrClass) | 93 | (domain instance 2 SetOrClass) | ||
| 94 | (documentation instance "An object is an &%instance of a &%SetOrClass if | 94 | (documentation instance "An object is an &%instance of a &%SetOrClass if | ||
| 95 | it is included in that &%SetOrClass. An individual may be an instance of many | 95 | it is included in that &%SetOrClass. An individual may be an instance of many | ||
| 96 | classes, some of which may be subclasses of others. Thus, there is no | 96 | classes, some of which may be subclasses of others. Thus, there is no | ||
| 97 | assumption in the meaning of &%instance about specificity or uniqueness.") | 97 | assumption in the meaning of &%instance about specificity or uniqueness.") | ||
| 98 | 98 | ||||
| 99 | (subrelation immediateInstance instance) | 99 | (subrelation immediateInstance instance) | ||
| 100 | (instance immediateInstance AsymmetricRelation) | 100 | (instance immediateInstance AsymmetricRelation) | ||
| 101 | (instance immediateInstance IntransitiveRelation) | 101 | (instance immediateInstance IntransitiveRelation) | ||
| 102 | (documentation immediateInstance "An object is an &%immediateInstance of | 102 | (documentation immediateInstance "An object is an &%immediateInstance of | ||
| 103 | a &%SetOrClass if it is an instance of the &%SetOrClass and there does not exist a | 103 | a &%SetOrClass if it is an instance of the &%SetOrClass and there does not exist a | ||
| 104 | subclass of &%SetOrClass such that it is an instance of the subclass.") | 104 | subclass of &%SetOrClass such that it is an instance of the subclass.") | ||
| 105 | 105 | ||||
| 106 | (=> | 106 | (=> | ||
| 107 | (immediateInstance ?ENTITY ?CLASS) | 107 | (immediateInstance ?ENTITY ?CLASS) | ||
| 108 | (not (exists (?SUBCLASS) | 108 | (not (exists (?SUBCLASS) | ||
| 109 | (and | 109 | (and | ||
| 110 | (subclass ?SUBCLASS ?CLASS) | 110 | (subclass ?SUBCLASS ?CLASS) | ||
| 111 | (instance ?ENTITY ?SUBCLASS))))) | 111 | (instance ?ENTITY ?SUBCLASS))))) | ||
| 112 | 112 | ||||
| 113 | (instance inverse BinaryPredicate) | 113 | (instance inverse BinaryPredicate) | ||
| 114 | (instance inverse IrreflexiveRelation) | 114 | (instance inverse IrreflexiveRelation) | ||
| 115 | (instance inverse IntransitiveRelation) | 115 | (instance inverse IntransitiveRelation) | ||
| 116 | (instance inverse SymmetricRelation) | 116 | (instance inverse SymmetricRelation) | ||
| 117 | (domain inverse 1 BinaryRelation) | 117 | (domain inverse 1 BinaryRelation) | ||
| 118 | (domain inverse 2 BinaryRelation) | 118 | (domain inverse 2 BinaryRelation) | ||
| 119 | (documentation inverse "The inverse of a &%BinaryRelation is a relation | 119 | (documentation inverse "The inverse of a &%BinaryRelation is a relation | ||
| 120 | in which all the tuples of the original relation are reversed. In | 120 | in which all the tuples of the original relation are reversed. In | ||
| 121 | other words, one &%BinaryRelation is the inverse of another if they are | 121 | other words, one &%BinaryRelation is the inverse of another if they are | ||
| 122 | equivalent when their arguments are swapped.") | 122 | equivalent when their arguments are swapped.") | ||
| 123 | 123 | ||||
| 124 | (=> | 124 | (=> | ||
| 125 | (inverse ?REL1 ?REL2) | 125 | (inverse ?REL1 ?REL2) | ||
| 126 | (forall (?INST1 ?INST2) | 126 | (forall (?INST1 ?INST2) | ||
| 127 | (<=> | 127 | (<=> | ||
| 128 | (holds ?REL1 ?INST1 ?INST2) | 128 | (holds ?REL1 ?INST1 ?INST2) | ||
| 129 | (holds ?REL2 ?INST2 ?INST1)))) | 129 | (holds ?REL2 ?INST2 ?INST1)))) | ||
| 130 | 130 | ||||
| 131 | (instance subclass BinaryPredicate) | 131 | (instance subclass BinaryPredicate) | ||
| 132 | (instance subclass PartialOrderingRelation) | 132 | (instance subclass PartialOrderingRelation) | ||
| 133 | (domain subclass 1 SetOrClass) | 133 | (domain subclass 1 SetOrClass) | ||
| 134 | (domain subclass 2 SetOrClass) | 134 | (domain subclass 2 SetOrClass) | ||
| 135 | (documentation subclass "(&%subclass ?CLASS1 ?CLASS2) means that ?CLASS1 is | 135 | (documentation subclass "(&%subclass ?CLASS1 ?CLASS2) means that ?CLASS1 is | ||
| 136 | a subclass of ?CLASS2, i.e. every instance of ?CLASS1 is also an instance of | 136 | a subclass of ?CLASS2, i.e. every instance of ?CLASS1 is also an instance of | ||
| 137 | ?CLASS2. A class may have multiple superclasses and subclasses.") | 137 | ?CLASS2. A class may have multiple superclasses and subclasses.") | ||
| 138 | 138 | ||||
| 139 | (<=> | 139 | (<=> | ||
| 140 | (subclass ?SUBCLASS ?CLASS) | 140 | (subclass ?SUBCLASS ?CLASS) | ||
| 141 | (and | 141 | (and | ||
| 142 | (instance ?SUBCLASS SetOrClass) | 142 | (instance ?SUBCLASS SetOrClass) | ||
| 143 | (instance ?CLASS SetOrClass) | 143 | (instance ?CLASS SetOrClass) | ||
| 144 | (forall (?INST) | 144 | (forall (?INST) | ||
| 145 | (=> | 145 | (=> | ||
| 146 | (instance ?INST ?SUBCLASS) | 146 | (instance ?INST ?SUBCLASS) | ||
| 147 | (instance ?INST ?CLASS))))) | 147 | (instance ?INST ?CLASS))))) | ||
| 148 | 148 | ||||
| 149 | (subrelation immediateSubclass subclass) | 149 | (subrelation immediateSubclass subclass) | ||
| 150 | (instance immediateSubclass AsymmetricRelation) | 150 | (instance immediateSubclass AsymmetricRelation) | ||
| 151 | (instance immediateSubclass IntransitiveRelation) | 151 | (instance immediateSubclass IntransitiveRelation) | ||
| 152 | (documentation immediateSubclass "A &%SetOrClass ?CLASS1 is an &%immediateSubclass | 152 | (documentation immediateSubclass "A &%SetOrClass ?CLASS1 is an &%immediateSubclass | ||
| 153 | of another &%SetOrClass ?CLASS2 just in case ?CLASS1 is a subclass of ?CLASS2 and | 153 | of another &%SetOrClass ?CLASS2 just in case ?CLASS1 is a subclass of ?CLASS2 and | ||
| 154 | there is no other subclass of ?CLASS2 such that ?CLASS1 is also a subclass of it.") | 154 | there is no other subclass of ?CLASS2 such that ?CLASS1 is also a subclass of it.") | ||
| 155 | 155 | ||||
| 156 | (=> | 156 | (=> | ||
| 157 | (immediateSubclass ?CLASS1 ?CLASS2) | 157 | (immediateSubclass ?CLASS1 ?CLASS2) | ||
| 158 | (not (exists (?CLASS3) | 158 | (not (exists (?CLASS3) | ||
| 159 | (and | 159 | (and | ||
| 160 | (subclass ?CLASS3 ?CLASS2) | 160 | (subclass ?CLASS3 ?CLASS2) | ||
| 161 | (subclass ?CLASS1 ?CLASS3) | 161 | (subclass ?CLASS1 ?CLASS3) | ||
| 162 | (not (equal ?CLASS2 ?CLASS3)) | 162 | (not (equal ?CLASS2 ?CLASS3)) | ||
| 163 | (not (equal ?CLASS1 ?CLASS3)))))) | 163 | (not (equal ?CLASS1 ?CLASS3)))))) | ||
| 164 | 164 | ||||
| 165 | (instance subrelation BinaryPredicate) | 165 | (instance subrelation BinaryPredicate) | ||
| 166 | (instance subrelation PartialOrderingRelation) | 166 | (instance subrelation PartialOrderingRelation) | ||
| 167 | (domain subrelation 1 Relation) | 167 | (domain subrelation 1 Relation) | ||
| 168 | (domain subrelation 2 Relation) | 168 | (domain subrelation 2 Relation) | ||
| 169 | (documentation subrelation "(&%subrelation ?REL1 ?REL2) means that | 169 | (documentation subrelation "(&%subrelation ?REL1 ?REL2) means that | ||
| 170 | every tuple of ?REL1 is also a tuple of ?REL2. In other words, if | 170 | every tuple of ?REL1 is also a tuple of ?REL2. In other words, if | ||
| 171 | the &%Relation ?REL1 holds for some arguments arg_1, arg_2, ... arg_n, | 171 | the &%Relation ?REL1 holds for some arguments arg_1, arg_2, ... arg_n, | ||
| 172 | then the &%Relation ?REL2 holds for the same arguments. A consequence | 172 | then the &%Relation ?REL2 holds for the same arguments. A consequence | ||
| 173 | of this is that a &%Relation and its subrelations must have the same | 173 | of this is that a &%Relation and its subrelations must have the same | ||
| 174 | &%valence. In CycL, &%subrelation is called #$genlPreds.") | 174 | &%valence. In CycL, &%subrelation is called #$genlPreds.") | ||
| 175 | 175 | ||||
| 176 | (=> | 176 | (=> | ||
| 177 | (and | 177 | (and | ||
| 178 | (subrelation ?PRED1 ?PRED2) | 178 | (subrelation ?PRED1 ?PRED2) | ||
| 179 | (valence ?PRED1 ?NUMBER)) | 179 | (valence ?PRED1 ?NUMBER)) | ||
| 180 | (valence ?PRED2 ?NUMBER)) | 180 | (valence ?PRED2 ?NUMBER)) | ||
| 181 | 181 | ||||
| 182 | (=> | 182 | (=> | ||
| 183 | (and | 183 | (and | ||
| 184 | (subrelation ?PRED1 ?PRED2) | 184 | (subrelation ?PRED1 ?PRED2) | ||
| 185 | (domain ?PRED2 ?NUMBER ?CLASS1)) | 185 | (domain ?PRED2 ?NUMBER ?CLASS1)) | ||
| 186 | (domain ?PRED1 ?NUMBER ?CLASS1)) | 186 | (domain ?PRED1 ?NUMBER ?CLASS1)) | ||
| 187 | 187 | ||||
| 188 | (=> | 188 | (=> | ||
| 189 | (and | 189 | (and | ||
| 190 | (subrelation ?REL1 ?REL2) | 190 | (subrelation ?REL1 ?REL2) | ||
| 191 | (holds ?REL1 @ROW)) | 191 | (holds ?REL1 @ROW)) | ||
| 192 | (holds ?REL2 @ROW)) | 192 | (holds ?REL2 @ROW)) | ||
| 193 | 193 | ||||
| 194 | (=> | 194 | (=> | ||
| 195 | (and | 195 | (and | ||
| 196 | (subrelation ?PRED1 ?PRED2) | 196 | (subrelation ?PRED1 ?PRED2) | ||
| 197 | (instance ?PRED2 ?CLASS) | 197 | (instance ?PRED2 ?CLASS) | ||
| 198 | (instance ?CLASS InheritableRelation)) | 198 | (instance ?CLASS InheritableRelation)) | ||
| 199 | (instance ?PRED1 ?CLASS)) | 199 | (instance ?PRED1 ?CLASS)) | ||
| 200 | 200 | ||||
| 201 | (instance domain TernaryPredicate) | 201 | (instance domain TernaryPredicate) | ||
| 202 | (domain domain 1 Relation) | 202 | (domain domain 1 Relation) | ||
| 203 | (domain domain 2 PositiveInteger) | 203 | (domain domain 2 PositiveInteger) | ||
| 204 | (domain domain 3 SetOrClass) | 204 | (domain domain 3 SetOrClass) | ||
| 205 | (documentation domain "Provides a computationally and heuristically | 205 | (documentation domain "Provides a computationally and heuristically | ||
| 206 | convenient mechanism for declaring the argument types of a given relation. | 206 | convenient mechanism for declaring the argument types of a given relation. | ||
| 207 | The formula (&%domain ?REL ?INT ?CLASS) means that the ?INT'th element of each | 207 | The formula (&%domain ?REL ?INT ?CLASS) means that the ?INT'th element of each | ||
| 208 | tuple in the relation ?REL must be an instance of ?CLASS. Specifying argument | 208 | tuple in the relation ?REL must be an instance of ?CLASS. Specifying argument | ||
| 209 | types is very helpful in maintaining ontologies. Representation systems can | 209 | types is very helpful in maintaining ontologies. Representation systems can | ||
| 210 | use these specifications to classify terms and check integrity constraints. | 210 | use these specifications to classify terms and check integrity constraints. | ||
| 211 | If the restriction on the argument type of a &%Relation is not captured by a | 211 | If the restriction on the argument type of a &%Relation is not captured by a | ||
| 212 | &%SetOrClass already defined in the ontology, one can specify a &%SetOrClass | 212 | &%SetOrClass already defined in the ontology, one can specify a &%SetOrClass | ||
| 213 | compositionally with the functions &%UnionFn, &%IntersectionFn, etc.") | 213 | compositionally with the functions &%UnionFn, &%IntersectionFn, etc.") | ||
| 214 | 214 | ||||
| 215 | (=> | 215 | (=> | ||
| 216 | (and | 216 | (and | ||
| 217 | (domain ?REL ?NUMBER ?CLASS1) | 217 | (domain ?REL ?NUMBER ?CLASS1) | ||
| 218 | (domain ?REL ?NUMBER ?CLASS2)) | 218 | (domain ?REL ?NUMBER ?CLASS2)) | ||
| 219 | (or | 219 | (or | ||
| 220 | (subclass ?CLASS1 ?CLASS2) | 220 | (subclass ?CLASS1 ?CLASS2) | ||
| 221 | (subclass ?CLASS2 ?CLASS1))) | 221 | (subclass ?CLASS2 ?CLASS1))) | ||
| 222 | 222 | ||||
| 223 | (instance domainSubclass TernaryPredicate) | 223 | (instance domainSubclass TernaryPredicate) | ||
| 224 | (domain domainSubclass 1 Relation) | 224 | (domain domainSubclass 1 Relation) | ||
| 225 | (domain domainSubclass 2 PositiveInteger) | 225 | (domain domainSubclass 2 PositiveInteger) | ||
| 226 | (domain domainSubclass 3 SetOrClass) | 226 | (domain domainSubclass 3 SetOrClass) | ||
| 227 | (documentation domainSubclass "&%Predicate used to specify argument | 227 | (documentation domainSubclass "&%Predicate used to specify argument | ||
| 228 | type restrictions of &%Predicates. The formula (&%domainSubclass | 228 | type restrictions of &%Predicates. The formula (&%domainSubclass | ||
| 229 | ?REL ?INT ?CLASS) means that the ?INT'th element of each tuple in the | 229 | ?REL ?INT ?CLASS) means that the ?INT'th element of each tuple in the | ||
| 230 | relation ?REL must be a subclass of ?CLASS.") | 230 | relation ?REL must be a subclass of ?CLASS.") | ||
| 231 | 231 | ||||
| 232 | (=> | 232 | (=> | ||
| 233 | (and | 233 | (and | ||
| 234 | (subrelation ?REL1 ?REL2) | 234 | (subrelation ?REL1 ?REL2) | ||
| 235 | (domainSubclass ?REL2 ?NUMBER ?CLASS1)) | 235 | (domainSubclass ?REL2 ?NUMBER ?CLASS1)) | ||
| 236 | (domainSubclass ?REL1 ?NUMBER ?CLASS1)) | 236 | (domainSubclass ?REL1 ?NUMBER ?CLASS1)) | ||
| 237 | 237 | ||||
| 238 | (=> | 238 | (=> | ||
| 239 | (and | 239 | (and | ||
| 240 | (domainSubclass ?REL ?NUMBER ?CLASS1) | 240 | (domainSubclass ?REL ?NUMBER ?CLASS1) | ||
| 241 | (domainSubclass ?REL ?NUMBER ?CLASS2)) | 241 | (domainSubclass ?REL ?NUMBER ?CLASS2)) | ||
| 242 | (or | 242 | (or | ||
| 243 | (subclass ?CLASS1 ?CLASS2) | 243 | (subclass ?CLASS1 ?CLASS2) | ||
| 244 | (subclass ?CLASS2 ?CLASS1))) | 244 | (subclass ?CLASS2 ?CLASS1))) | ||
| 245 | 245 | ||||
| 246 | (instance equal BinaryPredicate) | 246 | (instance equal BinaryPredicate) | ||
| 247 | (instance equal EquivalenceRelation) | 247 | (instance equal EquivalenceRelation) | ||
| 248 | (instance equal RelationExtendedToQuantities) | 248 | (instance equal RelationExtendedToQuantities) | ||
| 249 | (domain equal 1 Entity) | 249 | (domain equal 1 Entity) | ||
| 250 | (domain equal 2 Entity) | 250 | (domain equal 2 Entity) | ||
| 251 | (documentation equal "(equal ?ENTITY1 ?ENTITY2) is true just in case | 251 | (documentation equal "(equal ?ENTITY1 ?ENTITY2) is true just in case | ||
| 252 | ?ENTITY1 is identical with ?ENTITY2.") | 252 | ?ENTITY1 is identical with ?ENTITY2.") | ||
| 253 | 253 | ||||
| 254 | (=> | 254 | (=> | ||
| 255 | (equal ?THING1 ?THING2) | 255 | (equal ?THING1 ?THING2) | ||
| 256 | (forall (?ATTR) | 256 | (forall (?ATTR) | ||
| 257 | (<=> | 257 | (<=> | ||
| 258 | (property ?THING1 ?ATTR) | 258 | (property ?THING1 ?ATTR) | ||
| 259 | (property ?THING2 ?ATTR)))) | 259 | (property ?THING2 ?ATTR)))) | ||
| 260 | 260 | ||||
| 261 | (=> | 261 | (=> | ||
| 262 | (equal ?ATTR1 ?ATTR2) | 262 | (equal ?ATTR1 ?ATTR2) | ||
| 263 | (forall (?THING) | 263 | (forall (?THING) | ||
| 264 | (<=> | 264 | (<=> | ||
| 265 | (property ?THING ?ATTR1) | 265 | (property ?THING ?ATTR1) | ||
| 266 | (property ?THING ?ATTR2)))) | 266 | (property ?THING ?ATTR2)))) | ||
| 267 | 267 | ||||
| 268 | (=> | 268 | (=> | ||
| 269 | (equal ?THING1 ?THING2) | 269 | (equal ?THING1 ?THING2) | ||
| 270 | (forall (?CLASS) | 270 | (forall (?CLASS) | ||
| 271 | (<=> | 271 | (<=> | ||
| 272 | (instance ?THING1 ?CLASS) | 272 | (instance ?THING1 ?CLASS) | ||
| 273 | (instance ?THING2 ?CLASS)))) | 273 | (instance ?THING2 ?CLASS)))) | ||
| 274 | 274 | ||||
| 275 | (=> | 275 | (=> | ||
| 276 | (equal ?CLASS1 ?CLASS2) | 276 | (equal ?CLASS1 ?CLASS2) | ||
| 277 | (forall (?THING) | 277 | (forall (?THING) | ||
| 278 | (<=> | 278 | (<=> | ||
| 279 | (instance ?THING ?CLASS1) | 279 | (instance ?THING ?CLASS1) | ||
| 280 | (instance ?THING ?CLASS2)))) | 280 | (instance ?THING ?CLASS2)))) | ||
| 281 | 281 | ||||
| 282 | (=> | 282 | (=> | ||
| 283 | (equal ?REL1 ?REL2) | 283 | (equal ?REL1 ?REL2) | ||
| 284 | (forall (@ROW) | 284 | (forall (@ROW) | ||
| 285 | (<=> | 285 | (<=> | ||
| 286 | (holds ?REL1 @ROW) | 286 | (holds ?REL1 @ROW) | ||
| 287 | (holds ?REL2 @ROW)))) | 287 | (holds ?REL2 @ROW)))) | ||
| 288 | 288 | ||||
| 289 | (=> | 289 | (=> | ||
| 290 | (equal (ListFn @ROW1) (ListFn @ROW2)) | 290 | (equal (ListFn @ROW1) (ListFn @ROW2)) | ||
| 291 | (<=> | 291 | (<=> | ||
| 292 | (holds @ROW1) | 292 | (holds @ROW1) | ||
| 293 | (holds @ROW2))) | 293 | (holds @ROW2))) | ||
| 294 | 294 | ||||
| 295 | (=> | 295 | (=> | ||
| 296 | (equal ?LIST1 ?LIST2) | 296 | (equal ?LIST1 ?LIST2) | ||
| 297 | (=> | 297 | (=> | ||
| 298 | (and | 298 | (and | ||
| 299 | (equal ?LIST1 (ListFn @ROW1)) | 299 | (equal ?LIST1 (ListFn @ROW1)) | ||
| 300 | (equal ?LIST2 (ListFn @ROW2))) | 300 | (equal ?LIST2 (ListFn @ROW2))) | ||
| 301 | (forall (?NUMBER) | 301 | (forall (?NUMBER) | ||
| 302 | (equal (ListOrderFn (ListFn @ROW1) ?NUMBER) (ListOrderFn (ListFn @ROW2) ?NUMBER))))) | 302 | (equal (ListOrderFn (ListFn @ROW1) ?NUMBER) (ListOrderFn (ListFn @ROW2) ?NUMBER))))) | ||
| 303 | 303 | ||||
| 304 | (instance range BinaryPredicate) | 304 | (instance range BinaryPredicate) | ||
| 305 | (instance range AsymmetricRelation) | 305 | (instance range AsymmetricRelation) | ||
| 306 | (domain range 1 Function) | 306 | (domain range 1 Function) | ||
| 307 | (domain range 2 SetOrClass) | 307 | (domain range 2 SetOrClass) | ||
| 308 | (documentation range "Gives the range of a function. In other words, | 308 | (documentation range "Gives the range of a function. In other words, | ||
| 309 | (&%range ?FUNCTION ?CLASS) means that all of the values assigned by | 309 | (&%range ?FUNCTION ?CLASS) means that all of the values assigned by | ||
| 310 | ?FUNCTION are &%instances of ?CLASS.") | 310 | ?FUNCTION are &%instances of ?CLASS.") | ||
| 311 | 311 | ||||
| 312 | (=> | 312 | (=> | ||
| 313 | (and | 313 | (and | ||
| 314 | (range ?FUNCTION ?CLASS) | 314 | (range ?FUNCTION ?CLASS) | ||
| 315 | (equal (AssignmentFn ?FUNCTION @ROW) ?VALUE)) | 315 | (equal (AssignmentFn ?FUNCTION @ROW) ?VALUE)) | ||
| 316 | (instance ?VALUE ?CLASS)) | 316 | (instance ?VALUE ?CLASS)) | ||
| 317 | 317 | ||||
| 318 | (=> | 318 | (=> | ||
| 319 | (and | 319 | (and | ||
| 320 | (subrelation ?REL1 ?REL2) | 320 | (subrelation ?REL1 ?REL2) | ||
| 321 | (range ?REL2 ?CLASS1)) | 321 | (range ?REL2 ?CLASS1)) | ||
| 322 | (range ?REL1 ?CLASS1)) | 322 | (range ?REL1 ?CLASS1)) | ||
| 323 | 323 | ||||
| 324 | (=> | 324 | (=> | ||
| 325 | (and | 325 | (and | ||
| 326 | (range ?REL ?CLASS1) | 326 | (range ?REL ?CLASS1) | ||
| 327 | (range ?REL ?CLASS2)) | 327 | (range ?REL ?CLASS2)) | ||
| 328 | (or | 328 | (or | ||
| 329 | (subclass ?CLASS1 ?CLASS2) | 329 | (subclass ?CLASS1 ?CLASS2) | ||
| 330 | (subclass ?CLASS2 ?CLASS1))) | 330 | (subclass ?CLASS2 ?CLASS1))) | ||
| 331 | 331 | ||||
| 332 | (instance rangeSubclass BinaryPredicate) | 332 | (instance rangeSubclass BinaryPredicate) | ||
| 333 | (instance rangeSubclass AsymmetricRelation) | 333 | (instance rangeSubclass AsymmetricRelation) | ||
| 334 | (domain rangeSubclass 1 Function) | 334 | (domain rangeSubclass 1 Function) | ||
| 335 | (domainSubclass rangeSubclass 2 SetOrClass) | 335 | (domainSubclass rangeSubclass 2 SetOrClass) | ||
| 336 | (documentation rangeSubclass "(&%rangeSubclass ?FUNCTION ?CLASS) means that | 336 | (documentation rangeSubclass "(&%rangeSubclass ?FUNCTION ?CLASS) means that | ||
| 337 | all of the values assigned by ?FUNCTION are &%subclasses of ?CLASS.") | 337 | all of the values assigned by ?FUNCTION are &%subclasses of ?CLASS.") | ||
| 338 | 338 | ||||
| 339 | (=> | 339 | (=> | ||
| 340 | (and | 340 | (and | ||
| 341 | (rangeSubclass ?FUNCTION ?CLASS) | 341 | (rangeSubclass ?FUNCTION ?CLASS) | ||
| 342 | (equal (AssignmentFn ?FUNCTION @ROW) ?VALUE)) | 342 | (equal (AssignmentFn ?FUNCTION @ROW) ?VALUE)) | ||
| 343 | (subclass ?VALUE ?CLASS)) | 343 | (subclass ?VALUE ?CLASS)) | ||
| 344 | 344 | ||||
| 345 | (=> | 345 | (=> | ||
| 346 | (and | 346 | (and | ||
| 347 | (subrelation ?REL1 ?REL2) | 347 | (subrelation ?REL1 ?REL2) | ||
| 348 | (rangeSubclass ?REL2 ?CLASS1)) | 348 | (rangeSubclass ?REL2 ?CLASS1)) | ||
| 349 | (rangeSubclass ?REL1 ?CLASS1)) | 349 | (rangeSubclass ?REL1 ?CLASS1)) | ||
| 350 | 350 | ||||
| 351 | (=> | 351 | (=> | ||
| 352 | (and | 352 | (and | ||
| 353 | (rangeSubclass ?REL ?CLASS1) | 353 | (rangeSubclass ?REL ?CLASS1) | ||
| 354 | (rangeSubclass ?REL ?CLASS2)) | 354 | (rangeSubclass ?REL ?CLASS2)) | ||
| 355 | (or | 355 | (or | ||
| 356 | (subclass ?CLASS1 ?CLASS2) | 356 | (subclass ?CLASS1 ?CLASS2) | ||
| 357 | (subclass ?CLASS2 ?CLASS1))) | 357 | (subclass ?CLASS2 ?CLASS1))) | ||
| 358 | 358 | ||||
| 359 | (instance valence BinaryPredicate) | 359 | (instance valence BinaryPredicate) | ||
| 360 | (instance valence AsymmetricRelation) | 360 | (instance valence AsymmetricRelation) | ||
| 361 | (instance valence SingleValuedRelation) | 361 | (instance valence SingleValuedRelation) | ||
| 362 | (domain valence 1 Relation) | 362 | (domain valence 1 Relation) | ||
| 363 | (domain valence 2 PositiveInteger) | 363 | (domain valence 2 PositiveInteger) | ||
| 364 | (documentation valence "Specifies the number of arguments that a | 364 | (documentation valence "Specifies the number of arguments that a | ||
| 365 | relation can take. If a relation does not have a fixed number of | 365 | relation can take. If a relation does not have a fixed number of | ||
| 366 | arguments, it does not have a valence and it is an instance of | 366 | arguments, it does not have a valence and it is an instance of | ||
| 367 | &%VariableArityRelation. For example, &%holds is a | 367 | &%VariableArityRelation. For example, &%holds is a | ||
| 368 | &%VariableArityRelation.") | 368 | &%VariableArityRelation.") | ||
| 369 | 369 | ||||
| 370 | (instance documentation BinaryPredicate) | 370 | (instance documentation BinaryPredicate) | ||
| 371 | (instance documentation AsymmetricRelation) | 371 | (instance documentation AsymmetricRelation) | ||
| 372 | (domain documentation 1 Entity) | 372 | (domain documentation 1 Entity) | ||
| 373 | (domain documentation 2 SymbolicString) | 373 | (domain documentation 2 SymbolicString) | ||
| 374 | (documentation documentation "A relation between objects in the domain | 374 | (documentation documentation "A relation between objects in the domain | ||
| 375 | of discourse and strings of natural language text. The domain of | 375 | of discourse and strings of natural language text. The domain of | ||
| 376 | &%documentation is not constants (names), but the objects themselves. | 376 | &%documentation is not constants (names), but the objects themselves. | ||
| 377 | This means that one does not quote the names when associating them with | 377 | This means that one does not quote the names when associating them with | ||
| 378 | their documentation.") | 378 | their documentation.") | ||
| 379 | 379 | ||||
| 380 | (instance disjoint BinaryPredicate) | 380 | (instance disjoint BinaryPredicate) | ||
| 381 | (instance disjoint SymmetricRelation) | 381 | (instance disjoint SymmetricRelation) | ||
| 382 | (domain disjoint 1 SetOrClass) | 382 | (domain disjoint 1 SetOrClass) | ||
| 383 | (domain disjoint 2 SetOrClass) | 383 | (domain disjoint 2 SetOrClass) | ||
| 384 | (documentation disjoint "&%Classes are &%disjoint only if they share no | 384 | (documentation disjoint "&%Classes are &%disjoint only if they share no | ||
| 385 | instances, i.e. just in case the result of applying &%IntersectionFn to | 385 | instances, i.e. just in case the result of applying &%IntersectionFn to | ||
| 386 | them is empty.") | 386 | them is empty.") | ||
| 387 | 387 | ||||
| 388 | (<=> | 388 | (<=> | ||
| 389 | (disjoint ?CLASS1 ?CLASS2) | 389 | (disjoint ?CLASS1 ?CLASS2) | ||
| 390 | (and | 390 | (and | ||
| 391 | (instance ?CLASS1 SetOrClass) | 1 | 391 | (instance ?CLASS1 NonNullSet) | |
| 392 | (instance ?CLASS2 SetOrClass) | 1 | 392 | (instance ?CLASS2 NonNullSet) | |
| 393 | (forall (?INST) | 393 | (forall (?INST) | ||
| 394 | (not | 394 | (not | ||
| 395 | (and | 395 | (and | ||
| 396 | (instance ?INST ?CLASS1) | 396 | (instance ?INST ?CLASS1) | ||
| 397 | (instance ?INST ?CLASS2)))))) | 397 | (instance ?INST ?CLASS2)))))) | ||
| 398 | 398 | ||||
| 399 | (instance disjointRelation Predicate) | 399 | (instance disjointRelation Predicate) | ||
| 400 | (instance disjointRelation VariableArityRelation) | 400 | (instance disjointRelation VariableArityRelation) | ||
| 401 | (relatedInternalConcept disjointRelation disjoint) | 401 | (relatedInternalConcept disjointRelation disjoint) | ||
| 402 | (documentation disjointRelation "This predicate relates any number of &%Relations. | 402 | (documentation disjointRelation "This predicate relates any number of &%Relations. | ||
| 403 | (&%disjointRelation @ROW) means that any two relations in @ROW have no tuples in | 403 | (&%disjointRelation @ROW) means that any two relations in @ROW have no tuples in | ||
| 404 | common. As a consequence, the intersection of all of the relations in @ROW is the | 404 | common. As a consequence, the intersection of all of the relations in @ROW is the | ||
| 405 | null set.") | 405 | null set.") | ||
| 406 | 406 | ||||
| 407 | (=> | 407 | (=> | ||
| 408 | (and | 408 | (and | ||
| 409 | (disjointRelation @ROW) | 409 | (disjointRelation @ROW) | ||
| 410 | (inList ?REL (ListFn @ROW))) | 410 | (inList ?REL (ListFn @ROW))) | ||
| 411 | (instance ?REL Relation)) | 411 | (instance ?REL Relation)) | ||
| 412 | 412 | ||||
| 413 | (=> | 413 | (=> | ||
| 414 | (and | 414 | (and | ||
| 415 | (disjointRelation @ROW) | 415 | (disjointRelation @ROW) | ||
| 416 | (inList ?REL1 (ListFn @ROW)) | 416 | (inList ?REL1 (ListFn @ROW)) | ||
| 417 | (inList ?REL2 (ListFn @ROW)) | 417 | (inList ?REL2 (ListFn @ROW)) | ||
| 418 | (valence ?REL1 ?NUMBER)) | 418 | (valence ?REL1 ?NUMBER)) | ||
| 419 | (valence ?REL2 ?NUMBER)) | 419 | (valence ?REL2 ?NUMBER)) | ||
| 420 | 420 | ||||
| 421 | (=> | 421 | (=> | ||
| 422 | (and | 422 | (and | ||
| 423 | (domain ?REL1 ?NUMBER ?CLASS1) | 423 | (domain ?REL1 ?NUMBER ?CLASS1) | ||
| 424 | (domain ?REL2 ?NUMBER ?CLASS2) | 424 | (domain ?REL2 ?NUMBER ?CLASS2) | ||
| 425 | (disjoint ?CLASS1 ?CLASS2)) | 425 | (disjoint ?CLASS1 ?CLASS2)) | ||
| 426 | (disjointRelation ?REL1 ?REL2)) | 426 | (disjointRelation ?REL1 ?REL2)) | ||
| 427 | 427 | ||||
| 428 | (=> | 428 | (=> | ||
| 429 | (and | 429 | (and | ||
| 430 | (domainSubclass ?REL1 ?NUMBER ?CLASS1) | 430 | (domainSubclass ?REL1 ?NUMBER ?CLASS1) | ||
| 431 | (domainSubclass ?REL2 ?NUMBER ?CLASS2) | 431 | (domainSubclass ?REL2 ?NUMBER ?CLASS2) | ||
| 432 | (disjoint ?CLASS1 ?CLASS2)) | 432 | (disjoint ?CLASS1 ?CLASS2)) | ||
| 433 | (disjointRelation ?REL1 ?REL2)) | 433 | (disjointRelation ?REL1 ?REL2)) | ||
| 434 | 434 | ||||
| 435 | (=> | 435 | (=> | ||
| 436 | (and | 436 | (and | ||
| 437 | (range ?REL1 ?CLASS1) | 437 | (range ?REL1 ?CLASS1) | ||
| 438 | (range ?REL2 ?CLASS2) | 438 | (range ?REL2 ?CLASS2) | ||
| 439 | (disjoint ?CLASS1 ?CLASS2)) | 439 | (disjoint ?CLASS1 ?CLASS2)) | ||
| 440 | (disjointRelation ?REL1 ?REL2)) | 440 | (disjointRelation ?REL1 ?REL2)) | ||
| 441 | 441 | ||||
| 442 | (=> | 442 | (=> | ||
| 443 | (and | 443 | (and | ||
| 444 | (rangeSubclass ?REL1 ?CLASS1) | 444 | (rangeSubclass ?REL1 ?CLASS1) | ||
| 445 | (rangeSubclass ?REL2 ?CLASS2) | 445 | (rangeSubclass ?REL2 ?CLASS2) | ||
| 446 | (disjoint ?CLASS1 ?CLASS2)) | 446 | (disjoint ?CLASS1 ?CLASS2)) | ||
| 447 | (disjointRelation ?REL1 ?REL2)) | 447 | (disjointRelation ?REL1 ?REL2)) | ||
| 448 | 448 | ||||
| 449 | (=> | 449 | (=> | ||
| 450 | (and | 450 | (and | ||
| 451 | (disjointRelation @ROW1) | 451 | (disjointRelation @ROW1) | ||
| 452 | (inList ?REL1 (ListFn @ROW1)) | 452 | (inList ?REL1 (ListFn @ROW1)) | ||
| 453 | (inList ?REL2 (ListFn @ROW1)) | 453 | (inList ?REL2 (ListFn @ROW1)) | ||
| 454 | (not (equal ?REL1 ?REL2)) | 454 | (not (equal ?REL1 ?REL2)) | ||
| 455 | (holds ?REL1 @ROW2)) | 455 | (holds ?REL1 @ROW2)) | ||
| 456 | (not (holds ?REL2 @ROW2))) | 456 | (not (holds ?REL2 @ROW2))) | ||
| 457 | 457 | ||||
| 458 | (instance contraryAttribute Predicate) | 458 | (instance contraryAttribute Predicate) | ||
| 459 | (instance contraryAttribute VariableArityRelation) | 459 | (instance contraryAttribute VariableArityRelation) | ||
| 460 | (documentation contraryAttribute "A &%contraryAttribute is a set of &%Attributes | 460 | (documentation contraryAttribute "A &%contraryAttribute is a set of &%Attributes | ||
| 461 | such that something can not simultaneously have more than one of these &%Attributes. | 461 | such that something can not simultaneously have more than one of these &%Attributes. | ||
| 462 | For example, (&%contraryAttribute &%Pliable &%Rigid) means that nothing can be both | 462 | For example, (&%contraryAttribute &%Pliable &%Rigid) means that nothing can be both | ||
| 463 | &%Pliable and &%Rigid.") | 463 | &%Pliable and &%Rigid.") | ||
| 464 | 464 | ||||
| 465 | (=> | 465 | (=> | ||
| 466 | (contraryAttribute @ROW) | 466 | (contraryAttribute @ROW) | ||
| 467 | (=> | 467 | (=> | ||
| 468 | (inList ?ELEMENT (ListFn @ROW)) | 468 | (inList ?ELEMENT (ListFn @ROW)) | ||
| 469 | (instance ?ELEMENT Attribute))) | 469 | (instance ?ELEMENT Attribute))) | ||
| 470 | 470 | ||||
| 471 | (=> | 471 | (=> | ||
| 472 | (contraryAttribute @ROW) | 472 | (contraryAttribute @ROW) | ||
| 473 | (forall (?ATTR1 ?ATTR2) | 473 | (forall (?ATTR1 ?ATTR2) | ||
| 474 | (=> | 474 | (=> | ||
| 475 | (and | 475 | (and | ||
| 476 | (equal ?ATTR1 (ListOrderFn (ListFn @ROW) ?NUMBER1)) | 476 | (equal ?ATTR1 (ListOrderFn (ListFn @ROW) ?NUMBER1)) | ||
| 477 | (equal ?ATTR2 (ListOrderFn (ListFn @ROW) ?NUMBER2)) | 477 | (equal ?ATTR2 (ListOrderFn (ListFn @ROW) ?NUMBER2)) | ||
| 478 | (not (equal ?NUMBER1 ?NUMBER2))) | 478 | (not (equal ?NUMBER1 ?NUMBER2))) | ||
| 479 | (=> | 479 | (=> | ||
| 480 | (property ?OBJ ?ATTR1) | 480 | (property ?OBJ ?ATTR1) | ||
| 481 | (not (property ?OBJ ?ATTR2)))))) | 481 | (not (property ?OBJ ?ATTR2)))))) | ||
| 482 | 482 | ||||
| 483 | (instance exhaustiveAttribute Predicate) | 483 | (instance exhaustiveAttribute Predicate) | ||
| 484 | (instance exhaustiveAttribute VariableArityRelation) | 484 | (instance exhaustiveAttribute VariableArityRelation) | ||
| 485 | (domainSubclass exhaustiveAttribute 1 Attribute) | 485 | (domainSubclass exhaustiveAttribute 1 Attribute) | ||
| 486 | (documentation exhaustiveAttribute "This predicate relates a &%Class to a | 486 | (documentation exhaustiveAttribute "This predicate relates a &%Class to a | ||
| 487 | set of &%Attributes, and it means that the elements of this set exhaust the | 487 | set of &%Attributes, and it means that the elements of this set exhaust the | ||
| 488 | instances of the &%Class. For example, (&%exhaustiveAttribute &%PhysicalState | 488 | instances of the &%Class. For example, (&%exhaustiveAttribute &%PhysicalState | ||
| 489 | &%Solid &%Liquid &%Gas) means that there are only three instances of the class | 489 | &%Solid &%Liquid &%Gas) means that there are only three instances of the class | ||
| 490 | &%PhysicalState, viz. &%Solid, &%Liquid, and &%Gas.") | 490 | &%PhysicalState, viz. &%Solid, &%Liquid, and &%Gas.") | ||
| 491 | 491 | ||||
| 492 | (=> | 492 | (=> | ||
| 493 | (exhaustiveAttribute ?CLASS @ROW) | 493 | (exhaustiveAttribute ?CLASS @ROW) | ||
| 494 | (=> | 494 | (=> | ||
| 495 | (inList ?ATTR (ListFn @ROW)) | 495 | (inList ?ATTR (ListFn @ROW)) | ||
| 496 | (instance ?ATTR Attribute))) | 496 | (instance ?ATTR Attribute))) | ||
| 497 | 497 | ||||
| 498 | (=> | 498 | (=> | ||
| 499 | (exhaustiveAttribute ?CLASS @ROW) | 499 | (exhaustiveAttribute ?CLASS @ROW) | ||
| 500 | (forall (?OBJ) | 500 | (forall (?OBJ) | ||
| 501 | (=> | 501 | (=> | ||
| 502 | (instance ?ATTR1 ?CLASS) | 502 | (instance ?ATTR1 ?CLASS) | ||
| 503 | (exists (?ATTR2) | 503 | (exists (?ATTR2) | ||
| 504 | (and | 504 | (and | ||
| 505 | (inList ?ATTR2 (ListFn @ROW)) | 505 | (inList ?ATTR2 (ListFn @ROW)) | ||
| 506 | (equal ?ATTR1 ?ATTR2)))))) | 506 | (equal ?ATTR1 ?ATTR2)))))) | ||
| 507 | 507 | ||||
| 508 | (instance exhaustiveDecomposition Predicate) | 508 | (instance exhaustiveDecomposition Predicate) | ||
| 509 | (instance exhaustiveDecomposition VariableArityRelation) | 509 | (instance exhaustiveDecomposition VariableArityRelation) | ||
| 510 | (domain exhaustiveDecomposition 1 Class) | 510 | (domain exhaustiveDecomposition 1 Class) | ||
| 511 | (relatedInternalConcept exhaustiveDecomposition partition) | 511 | (relatedInternalConcept exhaustiveDecomposition partition) | ||
| 512 | (documentation exhaustiveDecomposition "An &%exhaustiveDecomposition of a | 512 | (documentation exhaustiveDecomposition "An &%exhaustiveDecomposition of a | ||
| 513 | &%Class C is a set of subclasses of C such that every subclass of C either | 513 | &%Class C is a set of subclasses of C such that every subclass of C either | ||
| 514 | is an element of the set or is a subclass of an element of the set. Note: | 514 | is an element of the set or is a subclass of an element of the set. Note: | ||
| 515 | this does not necessarily mean that the elements of the set are disjoint | 515 | this does not necessarily mean that the elements of the set are disjoint | ||
| 516 | (see &%partition - a &%partition is a disjoint exhaustive decomposition.)") | 516 | (see &%partition - a &%partition is a disjoint exhaustive decomposition.)") | ||
| 517 | 517 | ||||
| 518 | (=> | 518 | (=> | ||
| 519 | (exhaustiveDecomposition @ROW) | 519 | (exhaustiveDecomposition @ROW) | ||
| 520 | (=> | 520 | (=> | ||
| 521 | (inList ?ELEMENT (ListFn @ROW)) | 521 | (inList ?ELEMENT (ListFn @ROW)) | ||
| 522 | (instance ?ELEMENT Class))) | 522 | (instance ?ELEMENT Class))) | ||
| 523 | 523 | ||||
| 524 | (instance disjointDecomposition Predicate) | 524 | (instance disjointDecomposition Predicate) | ||
| 525 | (instance disjointDecomposition VariableArityRelation) | 525 | (instance disjointDecomposition VariableArityRelation) | ||
| 526 | (domain disjointDecomposition 1 Class) | 526 | (domain disjointDecomposition 1 Class) | ||
| 527 | (relatedInternalConcept disjointDecomposition exhaustiveDecomposition) | 527 | (relatedInternalConcept disjointDecomposition exhaustiveDecomposition) | ||
| 528 | (relatedInternalConcept disjointDecomposition disjoint) | 528 | (relatedInternalConcept disjointDecomposition disjoint) | ||
| 529 | (documentation disjointDecomposition "A &%disjointDecomposition of a &%Class | 529 | (documentation disjointDecomposition "A &%disjointDecomposition of a &%Class | ||
| 530 | C is a set of subclasses of C that are mutually &%disjoint.") | 530 | C is a set of subclasses of C that are mutually &%disjoint.") | ||
| 531 | 531 | ||||
| 532 | (=> | 532 | (=> | ||
| 533 | (disjointDecomposition @ROW) | 533 | (disjointDecomposition @ROW) | ||
| 534 | (=> | 534 | (=> | ||
| 535 | (inList ?ELEMENT (ListFn @ROW)) | 535 | (inList ?ELEMENT (ListFn @ROW)) | ||
| 536 | (instance ?ELEMENT Class))) | 536 | (instance ?ELEMENT Class))) | ||
| 537 | 537 | ||||
| 538 | (instance partition Predicate) | 538 | (instance partition Predicate) | ||
| 539 | (instance partition VariableArityRelation) | 539 | (instance partition VariableArityRelation) | ||
| 540 | (domain partition 1 Class) | 540 | (domain partition 1 Class) | ||
| 541 | (documentation partition "A &%partition of a class C is a set of | 541 | (documentation partition "A &%partition of a class C is a set of | ||
| 542 | mutually &%disjoint classes (a subclass partition) which covers C. | 542 | mutually &%disjoint classes (a subclass partition) which covers C. | ||
| 543 | Every instance of C is an instance of exactly one of the subclasses | 543 | Every instance of C is an instance of exactly one of the subclasses | ||
| 544 | in the partition.") | 544 | in the partition.") | ||
| 545 | 545 | ||||
| 546 | (<=> | 546 | (<=> | ||
| 547 | (partition @ROW) | 547 | (partition @ROW) | ||
| 548 | (and | 548 | (and | ||
| 549 | (exhaustiveDecomposition @ROW) | 549 | (exhaustiveDecomposition @ROW) | ||
| 550 | (disjointDecomposition @ROW))) | 550 | (disjointDecomposition @ROW))) | ||
| 551 | 551 | ||||
| 552 | (instance relatedInternalConcept BinaryPredicate) | 552 | (instance relatedInternalConcept BinaryPredicate) | ||
| 553 | (instance relatedInternalConcept EquivalenceRelation) | 553 | (instance relatedInternalConcept EquivalenceRelation) | ||
| 554 | (domain relatedInternalConcept 1 Entity) | 554 | (domain relatedInternalConcept 1 Entity) | ||
| 555 | (domain relatedInternalConcept 2 Entity) | 555 | (domain relatedInternalConcept 2 Entity) | ||
| 556 | (documentation relatedInternalConcept "Means that the two arguments are | 556 | (documentation relatedInternalConcept "Means that the two arguments are | ||
| 557 | related concepts within the SUMO, i.e. there is a significant similarity | 557 | related concepts within the SUMO, i.e. there is a significant similarity | ||
| 558 | of meaning between them. To indicate a meaning relation between a SUMO | 558 | of meaning between them. To indicate a meaning relation between a SUMO | ||
| 559 | concept and a concept from another source, use the Predicate | 559 | concept and a concept from another source, use the Predicate | ||
| 560 | &%relatedExternalConcept.") | 560 | &%relatedExternalConcept.") | ||
| 561 | 561 | ||||
| 562 | (instance relatedExternalConcept TernaryPredicate) | 562 | (instance relatedExternalConcept TernaryPredicate) | ||
| 563 | (domain relatedExternalConcept 1 SymbolicString) | 563 | (domain relatedExternalConcept 1 SymbolicString) | ||
| 564 | (domain relatedExternalConcept 2 Entity) | 564 | (domain relatedExternalConcept 2 Entity) | ||
| 565 | (domain relatedExternalConcept 3 Language) | 565 | (domain relatedExternalConcept 3 Language) | ||
| 566 | (relatedInternalConcept relatedExternalConcept relatedInternalConcept) | 566 | (relatedInternalConcept relatedExternalConcept relatedInternalConcept) | ||
| 567 | (documentation relatedExternalConcept "Used to signify a three-place | 567 | (documentation relatedExternalConcept "Used to signify a three-place | ||
| 568 | relation between a concept in an external knowledge source, a concept | 568 | relation between a concept in an external knowledge source, a concept | ||
| 569 | in the SUMO, and the name of the other knowledge source.") | 569 | in the SUMO, and the name of the other knowledge source.") | ||
| 570 | 570 | ||||
| 571 | (subrelation synonymousExternalConcept relatedExternalConcept) | 571 | (subrelation synonymousExternalConcept relatedExternalConcept) | ||
| 572 | (disjointRelation synonymousExternalConcept subsumedExternalConcept subsumingExternalConcept) | 572 | (disjointRelation synonymousExternalConcept subsumedExternalConcept subsumingExternalConcept) | ||
| 573 | (documentation synonymousExternalConcept "(&%synonymousExternalConcept | 573 | (documentation synonymousExternalConcept "(&%synonymousExternalConcept | ||
| 574 | ?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING has the | 574 | ?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING has the | ||
| 575 | same meaning as ?STRING in ?LANGUAGE.") | 575 | same meaning as ?STRING in ?LANGUAGE.") | ||
| 576 | 576 | ||||
| 577 | (subrelation subsumingExternalConcept relatedExternalConcept) | 577 | (subrelation subsumingExternalConcept relatedExternalConcept) | ||
| 578 | (documentation subsumingExternalConcept "(&%subsumingExternalConcept | 578 | (documentation subsumingExternalConcept "(&%subsumingExternalConcept | ||
| 579 | ?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING subsumes | 579 | ?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING subsumes | ||
| 580 | the meaning of ?STRING in ?LANGUAGE, i.e. the concept ?THING is broader | 580 | the meaning of ?STRING in ?LANGUAGE, i.e. the concept ?THING is broader | ||
| 581 | in meaning than ?STRING.") | 581 | in meaning than ?STRING.") | ||
| 582 | 582 | ||||
| 583 | (subrelation subsumedExternalConcept relatedExternalConcept) | 583 | (subrelation subsumedExternalConcept relatedExternalConcept) | ||
| 584 | (documentation subsumedExternalConcept "(&%subsumedExternalConcept | 584 | (documentation subsumedExternalConcept "(&%subsumedExternalConcept | ||
| 585 | ?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING is subsumed | 585 | ?STRING ?THING ?LANGUAGE) means that the SUMO concept ?THING is subsumed | ||
| 586 | by the meaning of ?STRING in ?LANGUAGE, i.e. the concept ?THING is narrower | 586 | by the meaning of ?STRING in ?LANGUAGE, i.e. the concept ?THING is narrower | ||
| 587 | in meaning than ?STRING.") | 587 | in meaning than ?STRING.") | ||
| 588 | 588 | ||||
| 589 | (instance subAttribute BinaryPredicate) | 589 | (instance subAttribute BinaryPredicate) | ||
| 590 | (instance subAttribute PartialOrderingRelation) | 590 | (instance subAttribute PartialOrderingRelation) | ||
| 591 | (domain subAttribute 1 Attribute) | 591 | (domain subAttribute 1 Attribute) | ||
| 592 | (domain subAttribute 2 Attribute) | 592 | (domain subAttribute 2 Attribute) | ||
| 593 | (disjointRelation subAttribute successorAttribute) | 593 | (disjointRelation subAttribute successorAttribute) | ||
| 594 | (documentation subAttribute "Means that the second argument can be | 594 | (documentation subAttribute "Means that the second argument can be | ||
| 595 | ascribed to everything which has the first argument ascribed to it.") | 595 | ascribed to everything which has the first argument ascribed to it.") | ||
| 596 | 596 | ||||
| 597 | (=> | 597 | (=> | ||
| 598 | (subAttribute ?ATTR1 ?ATTR2) | 598 | (subAttribute ?ATTR1 ?ATTR2) | ||
| 599 | (forall (?OBJ) | 599 | (forall (?OBJ) | ||
| 600 | (=> | 600 | (=> | ||
| 601 | (property ?OBJ ?ATTR1) | 601 | (property ?OBJ ?ATTR1) | ||
| 602 | (property ?OBJ ?ATTR2)))) | 602 | (property ?OBJ ?ATTR2)))) | ||
| 603 | 603 | ||||
| 604 | (=> | 604 | (=> | ||
| 605 | (and | 605 | (and | ||
| 606 | (subAttribute ?ATTR1 ?ATTR2) | 606 | (subAttribute ?ATTR1 ?ATTR2) | ||
| 607 | (instance ?ATTR2 ?CLASS)) | 607 | (instance ?ATTR2 ?CLASS)) | ||
| 608 | (instance ?ATTR1 ?CLASS)) | 608 | (instance ?ATTR1 ?CLASS)) | ||
| 609 | 609 | ||||
| 610 | (instance successorAttribute BinaryPredicate) | 610 | (instance successorAttribute BinaryPredicate) | ||
| 611 | (instance successorAttribute AsymmetricRelation) | 611 | (instance successorAttribute AsymmetricRelation) | ||
| 612 | (domain successorAttribute 1 Attribute) | 612 | (domain successorAttribute 1 Attribute) | ||
| 613 | (domain successorAttribute 2 Attribute) | 613 | (domain successorAttribute 2 Attribute) | ||
| 614 | (documentation successorAttribute "(&%successorAttribute ?ATTR1 ?ATTR2) | 614 | (documentation successorAttribute "(&%successorAttribute ?ATTR1 ?ATTR2) | ||
| 615 | means that ?ATTR2 is the &%Attribute that comes immediately after ?ATTR1 | 615 | means that ?ATTR2 is the &%Attribute that comes immediately after ?ATTR1 | ||
| 616 | on the scale that they share.") | 616 | on the scale that they share.") | ||
| 617 | 617 | ||||
| 618 | (=> | 618 | (=> | ||
| 619 | (and | 619 | (and | ||
| 620 | (successorAttribute ?ATTR1 ?ATTR2) | 620 | (successorAttribute ?ATTR1 ?ATTR2) | ||
| 621 | (holdsDuring ?TIME1 (property ?ENTITY ?ATTR2))) | 621 | (holdsDuring ?TIME1 (property ?ENTITY ?ATTR2))) | ||
| 622 | (exists (?TIME2) | 622 | (exists (?TIME2) | ||
| 623 | (and | 623 | (and | ||
| 624 | (temporalPart ?TIME2 (PastFn ?TIME1)) | 624 | (temporalPart ?TIME2 (PastFn ?TIME1)) | ||
| 625 | (holdsDuring ?TIME2 (property ?ENTITY ?ATTR1))))) | 625 | (holdsDuring ?TIME2 (property ?ENTITY ?ATTR1))))) | ||
| 626 | 626 | ||||
| 627 | (instance successorAttributeClosure BinaryPredicate) | 627 | (instance successorAttributeClosure BinaryPredicate) | ||
| 628 | (instance successorAttributeClosure TransitiveRelation) | 628 | (instance successorAttributeClosure TransitiveRelation) | ||
| 629 | (instance successorAttributeClosure IrreflexiveRelation) | 629 | (instance successorAttributeClosure IrreflexiveRelation) | ||
| 630 | (domain successorAttributeClosure 1 Attribute) | 630 | (domain successorAttributeClosure 1 Attribute) | ||
| 631 | (domain successorAttributeClosure 2 Attribute) | 631 | (domain successorAttributeClosure 2 Attribute) | ||
| 632 | (relatedInternalConcept successorAttributeClosure successorAttribute) | 632 | (relatedInternalConcept successorAttributeClosure successorAttribute) | ||
| 633 | (documentation successorAttributeClosure "The transitive closure of | 633 | (documentation successorAttributeClosure "The transitive closure of | ||
| 634 | &%successorAttribute. (&%successorAttributeClosure ?ATTR1 ?ATTR2) means | 634 | &%successorAttribute. (&%successorAttributeClosure ?ATTR1 ?ATTR2) means | ||
| 635 | that there is a chain of &%successorAttribute assertions connecting | 635 | that there is a chain of &%successorAttribute assertions connecting | ||
| 636 | ?ATTR1 and ?ATTR2.") | 636 | ?ATTR1 and ?ATTR2.") | ||
| 637 | 637 | ||||
| 638 | (=> | 638 | (=> | ||
| 639 | (successorAttribute ?ATTR1 ?ATTR2) | 639 | (successorAttribute ?ATTR1 ?ATTR2) | ||
| 640 | (successorAttributeClosure ?ATTR1 ?ATTR2)) | 640 | (successorAttributeClosure ?ATTR1 ?ATTR2)) | ||
| 641 | 641 | ||||
| 642 | (instance and VariableArityRelation) | 642 | (instance and VariableArityRelation) | ||
| 643 | (instance and LogicalOperator) | 643 | (instance and LogicalOperator) | ||
| 644 | (domain and 1 Formula) | 644 | (domain and 1 Formula) | ||
| 645 | (domain and 2 Formula) | 645 | (domain and 2 Formula) | ||
| 646 | (documentation and "The truth-functional connective of conjunction.") | 646 | (documentation and "The truth-functional connective of conjunction.") | ||
| 647 | 647 | ||||
| 648 | (instance or VariableArityRelation) | 648 | (instance or VariableArityRelation) | ||
| 649 | (instance or LogicalOperator) | 649 | (instance or LogicalOperator) | ||
| 650 | (domain or 1 Formula) | 650 | (domain or 1 Formula) | ||
| 651 | (domain or 2 Formula) | 651 | (domain or 2 Formula) | ||
| 652 | (documentation or "The truth-functional connective of disjunction.") | 652 | (documentation or "The truth-functional connective of disjunction.") | ||
| 653 | 653 | ||||
| 654 | (instance => BinaryPredicate) | 654 | (instance => BinaryPredicate) | ||
| 655 | (instance => LogicalOperator) | 655 | (instance => LogicalOperator) | ||
| 656 | (domain => 1 Formula) | 656 | (domain => 1 Formula) | ||
| 657 | (domain => 2 Formula) | 657 | (domain => 2 Formula) | ||
| 658 | (documentation => "The truth-functional connective of implication.") | 658 | (documentation => "The truth-functional connective of implication.") | ||
| 659 | 659 | ||||
| 660 | (instance <=> BinaryPredicate) | 660 | (instance <=> BinaryPredicate) | ||
| 661 | (instance <=> LogicalOperator) | 661 | (instance <=> LogicalOperator) | ||
| 662 | (domain <=> 1 Formula) | 662 | (domain <=> 1 Formula) | ||
| 663 | (domain <=> 2 Formula) | 663 | (domain <=> 2 Formula) | ||
| 664 | (documentation <=> "The truth-functional connective of bi-implication.") | 664 | (documentation <=> "The truth-functional connective of bi-implication.") | ||
| 665 | 665 | ||||
| 666 | (instance not LogicalOperator) | 666 | (instance not LogicalOperator) | ||
| 667 | (domain not 1 Formula) | 667 | (domain not 1 Formula) | ||
| 668 | (documentation not "The truth-functional connective of negation.") | 668 | (documentation not "The truth-functional connective of negation.") | ||
| 669 | 669 | ||||
| 670 | (instance forall BinaryPredicate) | 670 | (instance forall BinaryPredicate) | ||
| 671 | (instance forall LogicalOperator) | 671 | (instance forall LogicalOperator) | ||
| 672 | (domain forall 1 List) | 672 | (domain forall 1 List) | ||
| 673 | (domain forall 2 Formula) | 673 | (domain forall 2 Formula) | ||
| 674 | (documentation forall "The universal quantifier of predicate logic.") | 674 | (documentation forall "The universal quantifier of predicate logic.") | ||
| 675 | 675 | ||||
| 676 | (instance exists BinaryPredicate) | 676 | (instance exists BinaryPredicate) | ||
| 677 | (instance exists LogicalOperator) | 677 | (instance exists LogicalOperator) | ||
| 678 | (domain exists 1 List) | 678 | (domain exists 1 List) | ||
| 679 | (domain exists 2 Formula) | 679 | (domain exists 2 Formula) | ||
| 680 | (documentation exists "The existential quantifier of predicate logic.") | 680 | (documentation exists "The existential quantifier of predicate logic.") | ||
| 681 | 681 | ||||
| 682 | (instance entails BinaryPredicate) | 682 | (instance entails BinaryPredicate) | ||
| 683 | (instance entails LogicalOperator) | 683 | (instance entails LogicalOperator) | ||
| 684 | (domain entails 1 Formula) | 684 | (domain entails 1 Formula) | ||
| 685 | (domain entails 2 Formula) | 685 | (domain entails 2 Formula) | ||
| 686 | (documentation entails "The operator of logical entailment. (&%entails | 686 | (documentation entails "The operator of logical entailment. (&%entails | ||
| 687 | ?FORMULA1 ?FORMULA2) means that ?FORMULA2 can be derived from ?FORMULA1 | 687 | ?FORMULA1 ?FORMULA2) means that ?FORMULA2 can be derived from ?FORMULA1 | ||
| 688 | by means of the proof theory of SUO-KIF.") | 688 | by means of the proof theory of SUO-KIF.") | ||
| 689 | 689 | ||||
| 690 | ;; The following axiom is commented out, because it is rejected by the | 690 | ;; The following axiom is commented out, because it is rejected by the | ||
| 691 | ;; inference engine's parser. | 691 | ;; inference engine's parser. | ||
| 692 | 692 | ||||
| 693 | ;;(=> | 693 | ;;(=> | ||
| 694 | ;; (entails ?FORMULA1 ?FORMULA2) | 694 | ;; (entails ?FORMULA1 ?FORMULA2) | ||
| 695 | ;; (=> ?FORMULA1 ?FORMULA2)) | 695 | ;; (=> ?FORMULA1 ?FORMULA2)) | ||
| 696 | 696 | ||||
| 697 | (instance AssignmentFn Function) | 697 | (instance AssignmentFn Function) | ||
| 698 | (instance AssignmentFn VariableArityRelation) | 698 | (instance AssignmentFn VariableArityRelation) | ||
| 699 | (domain AssignmentFn 1 Function) | 699 | (domain AssignmentFn 1 Function) | ||
| 700 | (range AssignmentFn Entity) | 700 | (range AssignmentFn Entity) | ||
| 701 | (documentation AssignmentFn "If F is a function with a value for the | 701 | (documentation AssignmentFn "If F is a function with a value for the | ||
| 702 | objects denoted by N1,..., NK, then the term (AssignmentFn F N1 ... NK) | 702 | objects denoted by N1,..., NK, then the term (AssignmentFn F N1 ... NK) | ||
| 703 | denotes the value of applying F to the objects denoted by N1,..., NK. | 703 | denotes the value of applying F to the objects denoted by N1,..., NK. | ||
| 704 | Otherwise, the value is undefined.") | 704 | Otherwise, the value is undefined.") | ||
| 705 | 705 | ||||
| 706 | (instance holds Predicate) | 706 | (instance holds Predicate) | ||
| 707 | (instance holds VariableArityRelation) | 707 | (instance holds VariableArityRelation) | ||
| 708 | (domain holds 1 Relation) | 708 | (domain holds 1 Relation) | ||
| 709 | (documentation holds "(holds P N1 ... NK) is true just in case | 709 | (documentation holds "(holds P N1 ... NK) is true just in case | ||
| 710 | the tuple of objects denoted by N1,..., NK is an element of | 710 | the tuple of objects denoted by N1,..., NK is an element of | ||
| 711 | the &%Relation P.") | 711 | the &%Relation P.") | ||
| 712 | 712 | ||||
| 713 | (=> | 713 | (=> | ||
| 714 | (instance ?REL Function) | 714 | (instance ?REL Function) | ||
| 715 | (<=> | 715 | (<=> | ||
| 716 | (equal (AssignmentFn ?REL @ROW) ?INST) | 716 | (equal (AssignmentFn ?REL @ROW) ?INST) | ||
| 717 | (holds ?REL @ROW ?INST))) | 717 | (holds ?REL @ROW ?INST))) | ||
| 718 | 718 | ||||
| 719 | (instance PowerSetFn UnaryFunction) | 719 | (instance PowerSetFn UnaryFunction) | ||
| 720 | (instance PowerSetFn TotalValuedRelation) | 720 | (instance PowerSetFn TotalValuedRelation) | ||
| 721 | (domain PowerSetFn 1 SetOrClass) | 721 | (domain PowerSetFn 1 SetOrClass) | ||
| 722 | (rangeSubclass PowerSetFn SetOrClass) | 722 | (rangeSubclass PowerSetFn SetOrClass) | ||
| 723 | (documentation PowerSetFn "(&%PowerSetFn ?CLASS) maps the &%SetOrClass | 723 | (documentation PowerSetFn "(&%PowerSetFn ?CLASS) maps the &%SetOrClass | ||
| 724 | ?CLASS to the &%SetOrClass of all &%subclasses of ?CLASS.") | 724 | ?CLASS to the &%SetOrClass of all &%subclasses of ?CLASS.") | ||
| 725 | 725 | ||||
| 726 | ;; END FILE | 726 | ;; END FILE | ||
| 727 | 727 | ||||
| 728 | ;; BEGIN FILE | 728 | ;; BEGIN FILE | ||
| 729 | 729 | ||||
| 730 | 730 | ||||
| 731 | ;;;;;;;;;;;;;;;;;;;;;;; | 731 | ;;;;;;;;;;;;;;;;;;;;;;; | ||
| 732 | ;; BASE ONTOLOGY ;; | 732 | ;; BASE ONTOLOGY ;; | ||
| 733 | ;;;;;;;;;;;;;;;;;;;;;;; | 733 | ;;;;;;;;;;;;;;;;;;;;;;; | ||
| 734 | 734 | ||||
| 735 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | 735 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | ||
| 736 | 736 | ||||
| 737 | ;; The following hierarchy incorporates content from Sowa, Russell & Norvig, | 737 | ;; The following hierarchy incorporates content from Sowa, Russell & Norvig, | ||
| 738 | ;; and the top-level ontology from ITBM-CNR. | 738 | ;; and the top-level ontology from ITBM-CNR. | ||
| 739 | 739 | ||||
| 740 | (partition Entity Physical Abstract) | 740 | (partition Entity Physical Abstract) | ||
| 741 | (documentation Entity "The universal class of individuals. This is the root | 741 | (documentation Entity "The universal class of individuals. This is the root | ||
| 742 | node of the ontology.") | 742 | node of the ontology.") | ||
| 743 | 743 | ||||
| 744 | (instance ?THING Entity) | 744 | (instance ?THING Entity) | ||
| 745 | 745 | ||||
| 746 | (exists (?THING) (instance ?THING Entity)) | 746 | (exists (?THING) (instance ?THING Entity)) | ||
| 747 | 747 | ||||
| 748 | (=> | 748 | (=> | ||
| 749 | (instance ?CLASS Class) | 749 | (instance ?CLASS Class) | ||
| 750 | (subclass ?CLASS Entity)) | 750 | (subclass ?CLASS Entity)) | ||
| 751 | 751 | ||||
| 752 | (subclass Physical Entity) | 752 | (subclass Physical Entity) | ||
| 753 | (partition Physical Object Process) | 753 | (partition Physical Object Process) | ||
| 754 | (documentation Physical "An entity that has a location in space-time. | 754 | (documentation Physical "An entity that has a location in space-time. | ||
| 755 | Note that locations are themselves understood to have a location in | 755 | Note that locations are themselves understood to have a location in | ||
| 756 | space-time.") | 756 | space-time.") | ||
| 757 | 757 | ||||
| 758 | (<=> | 758 | (<=> | ||
| 759 | (instance ?PHYS Physical) | 759 | (instance ?PHYS Physical) | ||
| 760 | (exists (?LOC ?TIME) | 760 | (exists (?LOC ?TIME) | ||
| 761 | (and | 761 | (and | ||
| 762 | (located ?PHYS ?LOC) | 762 | (located ?PHYS ?LOC) | ||
| 763 | (time ?PHYS ?TIME)))) | 763 | (time ?PHYS ?TIME)))) | ||
| 764 | 764 | ||||
| 765 | (subclass Object Physical) | 765 | (subclass Object Physical) | ||
| 766 | (documentation Object "Corresponds roughly to the class of ordinary | 766 | (documentation Object "Corresponds roughly to the class of ordinary | ||
| 767 | objects. Examples include normal physical objects, geographical regions, | 767 | objects. Examples include normal physical objects, geographical regions, | ||
| 768 | and locations of &%Processes, the complement of &%Objects in the &%Physical | 768 | and locations of &%Processes, the complement of &%Objects in the &%Physical | ||
| 769 | class. In a 4D ontology, an &%Object is something whose spatiotemporal | 769 | class. In a 4D ontology, an &%Object is something whose spatiotemporal | ||
| 770 | extent is thought of as dividing into spatial parts roughly parallel to the | 770 | extent is thought of as dividing into spatial parts roughly parallel to the | ||
| 771 | time-axis.") | 771 | time-axis.") | ||
| 772 | 772 | ||||
| 773 | (subclass SelfConnectedObject Object) | 773 | (subclass SelfConnectedObject Object) | ||
| 774 | (documentation SelfConnectedObject "A &%SelfConnectedObject is any | 774 | (documentation SelfConnectedObject "A &%SelfConnectedObject is any | ||
| 775 | &%Object that does not consist of two or more disconnected parts.") | 775 | &%Object that does not consist of two or more disconnected parts.") | ||
| 776 | 776 | ||||
| 777 | (instance FrontFn SpatialRelation) | 777 | (instance FrontFn SpatialRelation) | ||
| 778 | (instance FrontFn PartialValuedRelation) | 778 | (instance FrontFn PartialValuedRelation) | ||
| 779 | (instance FrontFn UnaryFunction) | 779 | (instance FrontFn UnaryFunction) | ||
| 780 | (instance FrontFn AsymmetricRelation) | 780 | (instance FrontFn AsymmetricRelation) | ||
| 781 | (instance FrontFn IrreflexiveRelation) | 781 | (instance FrontFn IrreflexiveRelation) | ||
| 782 | (domain FrontFn 1 SelfConnectedObject) | 782 | (domain FrontFn 1 SelfConnectedObject) | ||
| 783 | (range FrontFn SelfConnectedObject) | 783 | (range FrontFn SelfConnectedObject) | ||
| 784 | (documentation FrontFn "A &%Function that maps an &%Object to the side | 784 | (documentation FrontFn "A &%Function that maps an &%Object to the side | ||
| 785 | that generally receives the most attention or that typically faces the | 785 | that generally receives the most attention or that typically faces the | ||
| 786 | direction in which the &%Object moves. Note that this is a partial | 786 | direction in which the &%Object moves. Note that this is a partial | ||
| 787 | function, since some &%Objects do not have sides, e.g. apples and | 787 | function, since some &%Objects do not have sides, e.g. apples and | ||
| 788 | spheres. Note too that the &%range of this &%Function is indefinite in | 788 | spheres. Note too that the &%range of this &%Function is indefinite in | ||
| 789 | much the way that &%ImmediateFutureFn and &%ImmediatePastFn are indefinite. | 789 | much the way that &%ImmediateFutureFn and &%ImmediatePastFn are indefinite. | ||
| 790 | Although this indefiniteness is undesirable from a theoretical standpoint, | 790 | Although this indefiniteness is undesirable from a theoretical standpoint, | ||
| 791 | it does not have significant practical implications, since there is | 791 | it does not have significant practical implications, since there is | ||
| 792 | widespread intersubjective agreement about the most common cases.") | 792 | widespread intersubjective agreement about the most common cases.") | ||
| 793 | 793 | ||||
| 794 | (=> | 794 | (=> | ||
| 795 | (instance ?OBJ SelfConnectedObject) | 795 | (instance ?OBJ SelfConnectedObject) | ||
| 796 | (part (FrontFn ?OBJ) ?OBJ)) | 796 | (part (FrontFn ?OBJ) ?OBJ)) | ||
| 797 | 797 | ||||
| 798 | (instance BackFn SpatialRelation) | 798 | (instance BackFn SpatialRelation) | ||
| 799 | (instance BackFn PartialValuedRelation) | 799 | (instance BackFn PartialValuedRelation) | ||
| 800 | (instance BackFn UnaryFunction) | 800 | (instance BackFn UnaryFunction) | ||
| 801 | (instance BackFn AsymmetricRelation) | 801 | (instance BackFn AsymmetricRelation) | ||
| 802 | (instance BackFn IrreflexiveRelation) | 802 | (instance BackFn IrreflexiveRelation) | ||
| 803 | (domain BackFn 1 SelfConnectedObject) | 803 | (domain BackFn 1 SelfConnectedObject) | ||
| 804 | (range BackFn SelfConnectedObject) | 804 | (range BackFn SelfConnectedObject) | ||
| 805 | (documentation BackFn "A &%Function that maps an &%Object to the side | 805 | (documentation BackFn "A &%Function that maps an &%Object to the side | ||
| 806 | that is opposite the &%FrontFn of the &%Object. Note that this is a | 806 | that is opposite the &%FrontFn of the &%Object. Note that this is a | ||
| 807 | partial function, since some &%Objects do not have sides, e.g. apples | 807 | partial function, since some &%Objects do not have sides, e.g. apples | ||
| 808 | and spheres. Note too that the &%range of this &%Function is indefinite in | 808 | and spheres. Note too that the &%range of this &%Function is indefinite in | ||
| 809 | much the way that &%ImmediateFutureFn and &%ImmediatePastFn are indefinite. | 809 | much the way that &%ImmediateFutureFn and &%ImmediatePastFn are indefinite. | ||
| 810 | Although this indefiniteness is undesirable from a theoretical standpoint, | 810 | Although this indefiniteness is undesirable from a theoretical standpoint, | ||
| 811 | it does not have significant practical implications, since there is | 811 | it does not have significant practical implications, since there is | ||
| 812 | widespread intersubjective agreement about the most common cases.") | 812 | widespread intersubjective agreement about the most common cases.") | ||
| 813 | 813 | ||||
| 814 | (=> | 814 | (=> | ||
| 815 | (instance ?OBJ SelfConnectedObject) | 815 | (instance ?OBJ SelfConnectedObject) | ||
| 816 | (part (BackFn ?OBJ) ?OBJ)) | 816 | (part (BackFn ?OBJ) ?OBJ)) | ||
| 817 | 817 | ||||
| 818 | (instance part SpatialRelation) | 818 | (instance part SpatialRelation) | ||
| 819 | (instance part PartialOrderingRelation) | 819 | (instance part PartialOrderingRelation) | ||
| 820 | (domain part 1 Object) | 820 | (domain part 1 Object) | ||
| 821 | (domain part 2 Object) | 821 | (domain part 2 Object) | ||
| 822 | (documentation part "The basic mereological relation. All other | 822 | (documentation part "The basic mereological relation. All other | ||
| 823 | mereological relations are defined in terms of this one. | 823 | mereological relations are defined in terms of this one. | ||
| 824 | (&%part ?PART ?WHOLE) simply means that the &%Object ?PART is part | 824 | (&%part ?PART ?WHOLE) simply means that the &%Object ?PART is part | ||
| 825 | of the &%Object ?WHOLE. Note that, since &%part is a | 825 | of the &%Object ?WHOLE. Note that, since &%part is a | ||
| 826 | &%ReflexiveRelation, every &%Object is a part of itself.") | 826 | &%ReflexiveRelation, every &%Object is a part of itself.") | ||
| 827 | 827 | ||||
| 828 | (instance properPart AsymmetricRelation) | 828 | (instance properPart AsymmetricRelation) | ||
| 829 | (instance properPart TransitiveRelation) | 829 | (instance properPart TransitiveRelation) | ||
| 830 | (subrelation properPart part) | 830 | (subrelation properPart part) | ||
| 831 | (documentation properPart "(&%properPart ?OBJ1 ?OBJ2) means that | 831 | (documentation properPart "(&%properPart ?OBJ1 ?OBJ2) means that | ||
| 832 | ?OBJ1 is a part of ?OBJ2 other than ?OBJ2 itself. This is a | 832 | ?OBJ1 is a part of ?OBJ2 other than ?OBJ2 itself. This is a | ||
| 833 | &%TransitiveRelation and &%AsymmetricRelation (hence an | 833 | &%TransitiveRelation and &%AsymmetricRelation (hence an | ||
| 834 | &%IrreflexiveRelation).") | 834 | &%IrreflexiveRelation).") | ||
| 835 | 835 | ||||
| 836 | (<=> | 836 | (<=> | ||
| 837 | (properPart ?OBJ1 ?OBJ2) | 837 | (properPart ?OBJ1 ?OBJ2) | ||
| 838 | (and | 838 | (and | ||
| 839 | (part ?OBJ1 ?OBJ2) | 839 | (part ?OBJ1 ?OBJ2) | ||
| 840 | (not | 840 | (not | ||
| 841 | (part ?OBJ2 ?OBJ1)))) | 841 | (part ?OBJ2 ?OBJ1)))) | ||
| 842 | 842 | ||||
| 843 | (subrelation piece part) | 843 | (subrelation piece part) | ||
| 844 | (domain piece 1 Substance) | 844 | (domain piece 1 Substance) | ||
| 845 | (domain piece 2 Substance) | 845 | (domain piece 2 Substance) | ||
| 846 | (documentation piece "A specialized common sense notion of part for | 846 | (documentation piece "A specialized common sense notion of part for | ||
| 847 | arbitrary parts of &%Substances. Quasi-synonyms are: chunk, hunk, bit, | 847 | arbitrary parts of &%Substances. Quasi-synonyms are: chunk, hunk, bit, | ||
| 848 | etc. Compare &%component, the other subrelation of &%part.") | 848 | etc. Compare &%component, the other subrelation of &%part.") | ||
| 849 | 849 | ||||
| 850 | (=> | 850 | (=> | ||
| 851 | (piece ?SUBSTANCE1 ?SUBSTANCE2) | 851 | (piece ?SUBSTANCE1 ?SUBSTANCE2) | ||
| 852 | (forall (?CLASS) | 852 | (forall (?CLASS) | ||
| 853 | (=> | 853 | (=> | ||
| 854 | (instance ?SUBSTANCE1 ?CLASS) | 854 | (instance ?SUBSTANCE1 ?CLASS) | ||
| 855 | (instance ?SUBSTANCE2 ?CLASS)))) | 855 | (instance ?SUBSTANCE2 ?CLASS)))) | ||
| 856 | 856 | ||||
| 857 | (subrelation component part) | 857 | (subrelation component part) | ||
| 858 | (domain component 1 CorpuscularObject) | 858 | (domain component 1 CorpuscularObject) | ||
| 859 | (domain component 2 CorpuscularObject) | 859 | (domain component 2 CorpuscularObject) | ||
| 860 | (documentation component "A specialized common sense notion of part | 860 | (documentation component "A specialized common sense notion of part | ||
| 861 | for heterogeneous parts of complexes. (&%component ?COMPONENT ?WHOLE) | 861 | for heterogeneous parts of complexes. (&%component ?COMPONENT ?WHOLE) | ||
| 862 | means that ?COMPONENT is a component of ?WHOLE. Examples of component | 862 | means that ?COMPONENT is a component of ?WHOLE. Examples of component | ||
| 863 | include the doors and walls of a house, the states or provinces of a | 863 | include the doors and walls of a house, the states or provinces of a | ||
| 864 | country, or the limbs and organs of an animal. Compare &%piece, which | 864 | country, or the limbs and organs of an animal. Compare &%piece, which | ||
| 865 | is also a subrelation of &%part.") | 865 | is also a subrelation of &%part.") | ||
| 866 | 866 | ||||
| 867 | (instance material BinaryPredicate) | 867 | (instance material BinaryPredicate) | ||
| 868 | (domainSubclass material 1 Substance) | 868 | (domainSubclass material 1 Substance) | ||
| 869 | (domain material 2 CorpuscularObject) | 869 | (domain material 2 CorpuscularObject) | ||
| 870 | (documentation material "(&%material ?SUBSTANCE ?OBJECT) means that | 870 | (documentation material "(&%material ?SUBSTANCE ?OBJECT) means that | ||
| 871 | ?OBJECT is structurally made up in part of ?SUBSTANCE. This relation | 871 | ?OBJECT is structurally made up in part of ?SUBSTANCE. This relation | ||
| 872 | encompasses the concepts of 'composed of', 'made of', and 'formed of'. | 872 | encompasses the concepts of 'composed of', 'made of', and 'formed of'. | ||
| 873 | For example, plastic is a &%material of my computer monitor. Compare | 873 | For example, plastic is a &%material of my computer monitor. Compare | ||
| 874 | &%part and its subrelations, viz &%component and &%piece.") | 874 | &%part and its subrelations, viz &%component and &%piece.") | ||
| 875 | 875 | ||||
| 876 | (subrelation contains partlyLocated) | 876 | (subrelation contains partlyLocated) | ||
| 877 | (instance contains SpatialRelation) | 877 | (instance contains SpatialRelation) | ||
| 878 | (instance contains AsymmetricRelation) | 878 | (instance contains AsymmetricRelation) | ||
| 879 | (disjointRelation contains part) | 879 | (disjointRelation contains part) | ||
| 880 | (domain contains 1 SelfConnectedObject) | 880 | (domain contains 1 SelfConnectedObject) | ||
| 881 | (domain contains 2 Object) | 881 | (domain contains 2 Object) | ||
| 882 | (documentation contains "The relation of spatial containment for two separable objects. When the two objects are not separable (e.g. an automobile and one of its seats), the relation of &%part should be used. (&%contains ?OBJ1 ?OBJ2) means that the &%SelfConnectedObject ?OBJ1 has a space (i.e. a &%Hole) which is at least partially filled by ?OBJ2.") | 882 | (documentation contains "The relation of spatial containment for two separable objects. When the two objects are not separable (e.g. an automobile and one of its seats), the relation of &%part should be used. (&%contains ?OBJ1 ?OBJ2) means that the &%SelfConnectedObject ?OBJ1 has a space (i.e. a &%Hole) which is at least partially filled by ?OBJ2.") | ||
| 883 | 883 | ||||
| 884 | (<=> | 884 | (<=> | ||
| 885 | (contains ?OBJ1 ?OBJ2) | 885 | (contains ?OBJ1 ?OBJ2) | ||
| 886 | (exists (?HOLE) | 886 | (exists (?HOLE) | ||
| 887 | (and | 887 | (and | ||
| 888 | (hole ?HOLE ?OBJ1) | 888 | (hole ?HOLE ?OBJ1) | ||
| 889 | (properlyFills ?OBJ2 ?HOLE)))) | 889 | (properlyFills ?OBJ2 ?HOLE)))) | ||
| 890 | 890 | ||||
| 891 | (subclass Substance SelfConnectedObject) | 891 | (subclass Substance SelfConnectedObject) | ||
| 892 | (documentation Substance "An &%Object in which every part is similar to | 892 | (documentation Substance "An &%Object in which every part is similar to | ||
| 893 | every other in every relevant respect. More precisely, something is a | 893 | every other in every relevant respect. More precisely, something is a | ||
| 894 | &%Substance when it has only arbitrary pieces as parts - any parts have | 894 | &%Substance when it has only arbitrary pieces as parts - any parts have | ||
| 895 | properties which are similar to those of the whole. Note that a &%Substance | 895 | properties which are similar to those of the whole. Note that a &%Substance | ||
| 896 | may nonetheless have physical properties that vary. For example, the | 896 | may nonetheless have physical properties that vary. For example, the | ||
| 897 | temperature, chemical constitution, density, etc. may change from one part | 897 | temperature, chemical constitution, density, etc. may change from one part | ||
| 898 | to another. An example would be a body of water.") | 898 | to another. An example would be a body of water.") | ||
| 899 | 899 | ||||
| 900 | (=> | 900 | (=> | ||
| 901 | (and | 901 | (and | ||
| 902 | (subclass ?OBJECTTYPE Substance) | 902 | (subclass ?OBJECTTYPE Substance) | ||
| 903 | (instance ?OBJECT ?OBJECTTYPE) | 903 | (instance ?OBJECT ?OBJECTTYPE) | ||
| 904 | (part ?PART ?OBJECT)) | 904 | (part ?PART ?OBJECT)) | ||
| 905 | (instance ?PART ?OBJECTTYPE)) | 905 | (instance ?PART ?OBJECTTYPE)) | ||
| 906 | 906 | ||||
| 907 | (=> | 907 | (=> | ||
| 908 | (and | 908 | (and | ||
| 909 | (instance ?OBJ Substance) | 909 | (instance ?OBJ Substance) | ||
| 910 | (attribute ?OBJ ?ATTR) | 910 | (attribute ?OBJ ?ATTR) | ||
| 911 | (part ?PART ?OBJ)) | 911 | (part ?PART ?OBJ)) | ||
| 912 | (attribute ?PART ?ATTR)) | 912 | (attribute ?PART ?ATTR)) | ||
| 913 | 913 | ||||
| 914 | (subclass PureSubstance Substance) | 914 | (subclass PureSubstance Substance) | ||
| 915 | (partition PureSubstance CompoundSubstance ElementalSubstance) | 915 | (partition PureSubstance CompoundSubstance ElementalSubstance) | ||
| 916 | (documentation PureSubstance "The &%Class of &%Substances with constant | 916 | (documentation PureSubstance "The &%Class of &%Substances with constant | ||
| 917 | composition. A &%PureSubstance can be either an element (&%ElementalSubstance) | 917 | composition. A &%PureSubstance can be either an element (&%ElementalSubstance) | ||
| 918 | or a compound of elements (&%CompoundSubstance). Examples: Table salt | 918 | or a compound of elements (&%CompoundSubstance). Examples: Table salt | ||
| 919 | (sodium chloride, NaCl), sugar (sucrose, C_{12}H_{22}O_{11}), water (H_2O), | 919 | (sodium chloride, NaCl), sugar (sucrose, C_{12}H_{22}O_{11}), water (H_2O), | ||
| 920 | iron (Fe), copper (Cu), and oxygen (O_2).") | 920 | iron (Fe), copper (Cu), and oxygen (O_2).") | ||
| 921 | 921 | ||||
| 922 | (subclass ElementalSubstance PureSubstance) | 922 | (subclass ElementalSubstance PureSubstance) | ||
| 923 | (documentation ElementalSubstance "The &%Class of &%PureSubstances that | 923 | (documentation ElementalSubstance "The &%Class of &%PureSubstances that | ||
| 924 | cannot be separated into two or more &%Substances by ordinary chemical | 924 | cannot be separated into two or more &%Substances by ordinary chemical | ||
| 925 | (or physical) means. This excludes nuclear reactions. &%ElementalSubstances | 925 | (or physical) means. This excludes nuclear reactions. &%ElementalSubstances | ||
| 926 | are composed of only one kind of atom. Examples: Iron (Fe), copper (Cu), | 926 | are composed of only one kind of atom. Examples: Iron (Fe), copper (Cu), | ||
| 927 | and oxygen (O_2). &%ElementalSubstances are the simplest | 927 | and oxygen (O_2). &%ElementalSubstances are the simplest | ||
| 928 | &%PureSubstances.") | 928 | &%PureSubstances.") | ||
| 929 | 929 | ||||
| 930 | (subclass Metal ElementalSubstance) | 930 | (subclass Metal ElementalSubstance) | ||
| 931 | (documentation Metal "A &%Metal is an &%ElementalSubstance that conducts heat | 931 | (documentation Metal "A &%Metal is an &%ElementalSubstance that conducts heat | ||
| 932 | and electricity, is shiny and reflects many colors of light, and can be hammered | 932 | and electricity, is shiny and reflects many colors of light, and can be hammered | ||
| 933 | into sheets or drawn into wire. About 80% of the known chemical elements | 933 | into sheets or drawn into wire. About 80% of the known chemical elements | ||
| 934 | (&%ElementalSubstances) are metals.") | 934 | (&%ElementalSubstances) are metals.") | ||
| 935 | 935 | ||||
| 936 | (subclass Atom ElementalSubstance) | 936 | (subclass Atom ElementalSubstance) | ||
| 937 | (documentation Atom "An extremely small unit of matter that retains its | 937 | (documentation Atom "An extremely small unit of matter that retains its | ||
| 938 | identity in Chemical reactions. It consists of an &%AtomicNucleus and | 938 | identity in Chemical reactions. It consists of an &%AtomicNucleus and | ||
| 939 | &%Electrons surrounding the &%AtomicNucleus.") | 939 | &%Electrons surrounding the &%AtomicNucleus.") | ||
| 940 | 940 | ||||
| 941 | (=> | 941 | (=> | ||
| 942 | (instance ?ATOM Atom) | 942 | (instance ?ATOM Atom) | ||
| 943 | (exists (?PROTON ?ELECTRON) | 943 | (exists (?PROTON ?ELECTRON) | ||
| 944 | (and | 944 | (and | ||
| 945 | (component ?PROTON ?ATOM) | 945 | (component ?PROTON ?ATOM) | ||
| 946 | (component ?ELECTRON ?ATOM) | 946 | (component ?ELECTRON ?ATOM) | ||
| 947 | (instance ?PROTON Proton) | 947 | (instance ?PROTON Proton) | ||
| 948 | (instance ?ELECTRON Electron)))) | 948 | (instance ?ELECTRON Electron)))) | ||
| 949 | 949 | ||||
| 950 | (=> | 950 | (=> | ||
| 951 | (instance ?ATOM Atom) | 951 | (instance ?ATOM Atom) | ||
| 952 | (forall (?NUCLEUS1 ?NUCLEUS2) | 952 | (forall (?NUCLEUS1 ?NUCLEUS2) | ||
| 953 | (=> | 953 | (=> | ||
| 954 | (and | 954 | (and | ||
| 955 | (component ?NUCLEUS1 ?ATOM) | 955 | (component ?NUCLEUS1 ?ATOM) | ||
| 956 | (component ?NUCLEUS2 ?ATOM) | 956 | (component ?NUCLEUS2 ?ATOM) | ||
| 957 | (instance ?NUCLEUS1 AtomicNucleus) | 957 | (instance ?NUCLEUS1 AtomicNucleus) | ||
| 958 | (instance ?NUCLEUS2 AtomicNucleus)) | 958 | (instance ?NUCLEUS2 AtomicNucleus)) | ||
| 959 | (equal ?NUCLEUS1 ?NUCLEUS2)))) | 959 | (equal ?NUCLEUS1 ?NUCLEUS2)))) | ||
| 960 | 960 | ||||
| 961 | (subclass SubatomicParticle ElementalSubstance) | 961 | (subclass SubatomicParticle ElementalSubstance) | ||
| 962 | (documentation SubatomicParticle "The class of &%ElementalSubstances that | 962 | (documentation SubatomicParticle "The class of &%ElementalSubstances that | ||
| 963 | are smaller than &%Atoms and compose &%Atoms.") | 963 | are smaller than &%Atoms and compose &%Atoms.") | ||
| 964 | 964 | ||||
| 965 | (=> | 965 | (=> | ||
| 966 | (instance ?PARTICLE SubatomicParticle) | 966 | (instance ?PARTICLE SubatomicParticle) | ||
| 967 | (exists (?ATOM) | 967 | (exists (?ATOM) | ||
| 968 | (and | 968 | (and | ||
| 969 | (instance ?ATOM Atom) | 969 | (instance ?ATOM Atom) | ||
| 970 | (part ?PARTICLE ?ATOM)))) | 970 | (part ?PARTICLE ?ATOM)))) | ||
| 971 | 971 | ||||
| 972 | (subclass AtomicNucleus SubatomicParticle) | 972 | (subclass AtomicNucleus SubatomicParticle) | ||
| 973 | (documentation AtomicNucleus "The core of the &%Atom. It is composed of | 973 | (documentation AtomicNucleus "The core of the &%Atom. It is composed of | ||
| 974 | &%Protons and &%Neutrons.") | 974 | &%Protons and &%Neutrons.") | ||
| 975 | 975 | ||||
| 976 | (=> | 976 | (=> | ||
| 977 | (instance ?NUCLEUS AtomicNucleus) | 977 | (instance ?NUCLEUS AtomicNucleus) | ||
| 978 | (exists (?NEUTRON ?PROTON) | 978 | (exists (?NEUTRON ?PROTON) | ||
| 979 | (and | 979 | (and | ||
| 980 | (component ?NEUTRON ?NUCLEUS) | 980 | (component ?NEUTRON ?NUCLEUS) | ||
| 981 | (component ?PROTON ?NUCLEUS) | 981 | (component ?PROTON ?NUCLEUS) | ||
| 982 | (instance ?NEUTRON Neutron) | 982 | (instance ?NEUTRON Neutron) | ||
| 983 | (instance ?PROTON Proton)))) | 983 | (instance ?PROTON Proton)))) | ||
| 984 | 984 | ||||
| 985 | (subclass Electron SubatomicParticle) | 985 | (subclass Electron SubatomicParticle) | ||
| 986 | (documentation Electron "&%SubatomicParticles that surround the | 986 | (documentation Electron "&%SubatomicParticles that surround the | ||
| 987 | &%AtomicNucleus. They have a negative charge.") | 987 | &%AtomicNucleus. They have a negative charge.") | ||
| 988 | 988 | ||||
| 989 | (subclass Proton SubatomicParticle) | 989 | (subclass Proton SubatomicParticle) | ||
| 990 | (documentation Proton "Components of the &%AtomicNucleus. They have a | 990 | (documentation Proton "Components of the &%AtomicNucleus. They have a | ||
| 991 | positive charge.") | 991 | positive charge.") | ||
| 992 | 992 | ||||
| 993 | (subclass Neutron SubatomicParticle) | 993 | (subclass Neutron SubatomicParticle) | ||
| 994 | (documentation Neutron "Components of the &%AtomicNucleus. They have no | 994 | (documentation Neutron "Components of the &%AtomicNucleus. They have no | ||
| 995 | charge.") | 995 | charge.") | ||
| 996 | 996 | ||||
| 997 | (subclass CompoundSubstance PureSubstance) | 997 | (subclass CompoundSubstance PureSubstance) | ||
| 998 | (documentation CompoundSubstance "The &%Class of &%Substances that contain | 998 | (documentation CompoundSubstance "The &%Class of &%Substances that contain | ||
| 999 | two or more elements (&%ElementalSubstances), in definite proportion by weight. | 999 | two or more elements (&%ElementalSubstances), in definite proportion by weight. | ||
| 1000 | The composition of a pure compound will be invariant, regardless of the method | 1000 | The composition of a pure compound will be invariant, regardless of the method | ||
| 1001 | of preparation. Compounds are composed of more than one kind of atom (element). | 1001 | of preparation. Compounds are composed of more than one kind of atom (element). | ||
| 1002 | The term molecule is often used for the smallest unit of a compound that still | 1002 | The term molecule is often used for the smallest unit of a compound that still | ||
| 1003 | retains all of the properties of the compound. Examples: Table salt (sodium | 1003 | retains all of the properties of the compound. Examples: Table salt (sodium | ||
| 1004 | chloride, NaCl), sugar (sucrose, C_{12}H_{22}O_{11}), and water (H_2O). ") | 1004 | chloride, NaCl), sugar (sucrose, C_{12}H_{22}O_{11}), and water (H_2O). ") | ||
| 1005 | 1005 | ||||
| 1006 | (subclass Mixture Substance) | 1006 | (subclass Mixture Substance) | ||
| 1007 | (documentation Mixture "A &%Mixture is two or more &%PureSubstances, | 1007 | (documentation Mixture "A &%Mixture is two or more &%PureSubstances, | ||
| 1008 | combined in varying proportions - each retaining its own specific properties. | 1008 | combined in varying proportions - each retaining its own specific properties. | ||
| 1009 | The components of a &%Mixture can be separated by physical means, i.e. without | 1009 | The components of a &%Mixture can be separated by physical means, i.e. without | ||
| 1010 | the making and breaking of chemical bonds. Examples: Air, table salt thoroughly | 1010 | the making and breaking of chemical bonds. Examples: Air, table salt thoroughly | ||
| 1011 | dissolved in water, milk, wood, and concrete. ") | 1011 | dissolved in water, milk, wood, and concrete. ") | ||
| 1012 | 1012 | ||||
| 1013 | (=> | 1013 | (=> | ||
| 1014 | (instance ?MIXTURE Mixture) | 1014 | (instance ?MIXTURE Mixture) | ||
| 1015 | (exists (?PURE1 ?PURE2) | 1015 | (exists (?PURE1 ?PURE2) | ||
| 1016 | (and | 1016 | (and | ||
| 1017 | (instance ?PURE1 PureSubstance) | 1017 | (instance ?PURE1 PureSubstance) | ||
| 1018 | (instance ?PURE2 PureSubstance) | 1018 | (instance ?PURE2 PureSubstance) | ||
| 1019 | (not (equal ?PURE1 ?PURE2)) | 1019 | (not (equal ?PURE1 ?PURE2)) | ||
| 1020 | (piece ?PURE1 ?MIXTURE) | 1 | 1020 | (part ?PURE1 ?MIXTURE) | |
| 1021 | (piece ?PURE2 ?MIXTURE)))) | 1 | 1021 | (part ?PURE2 ?MIXTURE)))) | |
| 1022 | |||||
| 3b) | 1023 | (=> | |||
| 1024 | (and | ||||
| 1025 | (instance ?MIXTURE Mixture) | ||||
| 1026 | (part ?SUBSTANCE ?MIXTURE) | ||||
| 1027 | (not (instance ?SUBSTANCE Mixture))) | ||||
| 1028 | (instance ?SUBSTANCE PureSubstance)) | ||||
| 1022 | 1029 | ||||
| 1023 | (subclass Solution Mixture) | 1030 | (subclass Solution Mixture) | ||
| 1024 | (documentation Solution "A liquid mixture. The most abundant component in | 1031 | (documentation Solution "A liquid mixture. The most abundant component in | ||
| 1025 | a solution is called the solvent. Other components are called solutes. | 1032 | a solution is called the solvent. Other components are called solutes. | ||
| 1026 | A solution, though homogeneous, may nonetheless have variable composition. | 1033 | A solution, though homogeneous, may nonetheless have variable composition. | ||
| 1027 | Any amount of salt, up to a maximum limit, can be dissolved in a given | 1034 | Any amount of salt, up to a maximum limit, can be dissolved in a given | ||
| 1028 | amount of water.") | 1035 | amount of water.") | ||
| 1029 | 1036 | ||||
| 1030 | (subclass CorpuscularObject SelfConnectedObject) | 1037 | (subclass CorpuscularObject SelfConnectedObject) | ||
| 1031 | (disjoint CorpuscularObject Substance) | 1038 | (disjoint CorpuscularObject Substance) | ||
| 1032 | (documentation CorpuscularObject "A &%SelfConnectedObject whose parts have | 1039 | (documentation CorpuscularObject "A &%SelfConnectedObject whose parts have | ||
| 1033 | properties that are not shared by the whole.") | 1040 | properties that are not shared by the whole.") | ||
| 1034 | 1041 | ||||
| 1035 | (=> | 1042 | (=> | ||
| 1036 | (instance ?OBJ CorpuscularObject) | 1043 | (instance ?OBJ CorpuscularObject) | ||
| 1037 | (exists (?SUBSTANCE1 ?SUBSTANCE2) | 1044 | (exists (?SUBSTANCE1 ?SUBSTANCE2) | ||
| 1038 | (and | 1045 | (and | ||
| 1039 | (subclass ?SUBSTANCE1 Substance) | 1046 | (subclass ?SUBSTANCE1 Substance) | ||
| 1040 | (subclass ?SUBSTANCE2 Substance) | 1047 | (subclass ?SUBSTANCE2 Substance) | ||
| 1041 | (material ?SUBSTANCE1 ?OBJ) | 1048 | (material ?SUBSTANCE1 ?OBJ) | ||
| 1042 | (material ?SUBSTANCE2 ?OBJ) | 1049 | (material ?SUBSTANCE2 ?OBJ) | ||
| 1043 | (not (equal ?SUBSTANCE1 ?SUBSTANCE2))))) | 1050 | (not (equal ?SUBSTANCE1 ?SUBSTANCE2))))) | ||
| 1044 | 1051 | ||||
| 1045 | (subclass Region Object) | 1052 | (subclass Region Object) | ||
| 1046 | (documentation Region "A topographic location. &%Regions encompass | 1053 | (documentation Region "A topographic location. &%Regions encompass | ||
| 1047 | surfaces of &%Objects, imaginary places, and &%GeographicAreas. Note | 1054 | surfaces of &%Objects, imaginary places, and &%GeographicAreas. Note | ||
| 1048 | that a &%Region is the only kind of &%Object which can be located at | 1055 | that a &%Region is the only kind of &%Object which can be located at | ||
| 1049 | itself. Note too that &%Region is not a subclass of &%SelfConnectedObject, | 1056 | itself. Note too that &%Region is not a subclass of &%SelfConnectedObject, | ||
| 1050 | because some &%Regions, e.g. archipelagos, have &%parts which are not | 1057 | because some &%Regions, e.g. archipelagos, have &%parts which are not | ||
| 1051 | &%connected with one another.") | 1058 | &%connected with one another.") | ||
| 1052 | 1059 | ||||
| 1053 | (=> | 1060 | (=> | ||
| 1054 | (instance ?REGION Region) | 1061 | (instance ?REGION Region) | ||
| 1055 | (exists (?PHYS) | 1062 | (exists (?PHYS) | ||
| 1056 | (located ?PHYS ?REGION))) | 1063 | (located ?PHYS ?REGION))) | ||
| 1057 | 1064 | ||||
| 1058 | (subclass Collection Object) | 1065 | (subclass Collection Object) | ||
| 1059 | (disjoint Collection SelfConnectedObject) | 1066 | (disjoint Collection SelfConnectedObject) | ||
| 1060 | (documentation Collection "Collections have &%members like &%Classes, but, | 1067 | (documentation Collection "Collections have &%members like &%Classes, but, | ||
| 1061 | unlike &%Classes, they have a position in space-time and &%members can be | 1068 | unlike &%Classes, they have a position in space-time and &%members can be | ||
| 1062 | added and subtracted without thereby changing the identity of the | 1069 | added and subtracted without thereby changing the identity of the | ||
| 1063 | &%Collection. Some examples are toolkits, football teams, and flocks | 1070 | &%Collection. Some examples are toolkits, football teams, and flocks | ||
| 1064 | of sheep.") | 1071 | of sheep.") | ||
| 1065 | 1072 | ||||
| 1066 | (=> | 1073 | (=> | ||
| 1067 | (instance ?COLL Collection) | 1074 | (instance ?COLL Collection) | ||
| 1068 | (exists (?OBJ) | 1075 | (exists (?OBJ) | ||
| 1069 | (member ?OBJ ?COLL))) | 1076 | (member ?OBJ ?COLL))) | ||
| 1070 | 1077 | ||||
| 1071 | (subrelation member part) | 1078 | (subrelation member part) | ||
| 1072 | (instance member AsymmetricRelation) | 1079 | (instance member AsymmetricRelation) | ||
| 1073 | (instance member IntransitiveRelation) | 1080 | (instance member IntransitiveRelation) | ||
| 1074 | (domain member 1 SelfConnectedObject) | 1081 | (domain member 1 SelfConnectedObject) | ||
| 1075 | (domain member 2 Collection) | 1082 | (domain member 2 Collection) | ||
| 1076 | (relatedInternalConcept member instance) | 1083 | (relatedInternalConcept member instance) | ||
| 1077 | (relatedInternalConcept member element) | 1084 | (relatedInternalConcept member element) | ||
| 1078 | (documentation member "A specialized common sense notion of part for | 1085 | (documentation member "A specialized common sense notion of part for | ||
| 1079 | uniform parts of &%Collections. For example, each sheep in a flock of | 1086 | uniform parts of &%Collections. For example, each sheep in a flock of | ||
| 1080 | sheep would have the relationship of member to the flock.") | 1087 | sheep would have the relationship of member to the flock.") | ||
| 1081 | 1088 | ||||
| 1082 | (instance subCollection BinaryPredicate) | 1089 | (instance subCollection BinaryPredicate) | ||
| 1083 | (instance subCollection PartialOrderingRelation) | 1090 | (instance subCollection PartialOrderingRelation) | ||
| 1084 | (domain subCollection 1 Collection) | 1091 | (domain subCollection 1 Collection) | ||
| 1085 | (domain subCollection 2 Collection) | 1092 | (domain subCollection 2 Collection) | ||
| 1086 | (documentation subCollection "(&%subCollection ?COLL1 ?COLL2) means that | 1093 | (documentation subCollection "(&%subCollection ?COLL1 ?COLL2) means that | ||
| 1087 | the &%Collection ?COLL1 is a proper part of the &%Collection ?COLL2.") | 1094 | the &%Collection ?COLL1 is a proper part of the &%Collection ?COLL2.") | ||
| 1088 | 1095 | ||||
| 1089 | (<=> | 1096 | (<=> | ||
| 1090 | (subCollection ?COLL1 ?COLL2) | 1097 | (subCollection ?COLL1 ?COLL2) | ||
| 1091 | (and | 1098 | (and | ||
| 1092 | (instance ?COLL1 Collection) | 1099 | (instance ?COLL1 Collection) | ||
| 1093 | (instance ?COLL2 Collection) | 1100 | (instance ?COLL2 Collection) | ||
| 1094 | (forall (?MEMBER) | 1101 | (forall (?MEMBER) | ||
| 1095 | (=> | 1102 | (=> | ||
| 1096 | (member ?MEMBER ?COLL1) | 1103 | (member ?MEMBER ?COLL1) | ||
| 1097 | (member ?MEMBER ?COLL2))))) | 1104 | (member ?MEMBER ?COLL2))))) | ||
| 1098 | 1105 | ||||
| 1099 | (subclass ContentBearingObject CorpuscularObject) | 1106 | (subclass ContentBearingObject CorpuscularObject) | ||
| 1100 | (relatedInternalConcept ContentBearingObject containsInformation) | 1107 | (relatedInternalConcept ContentBearingObject containsInformation) | ||
| 1101 | (documentation ContentBearingObject "Any &%SelfConnectedObject that expresses | 1108 | (documentation ContentBearingObject "Any &%SelfConnectedObject that expresses | ||
| 1102 | information.") | 1109 | information.") | ||
| 1103 | 1110 | ||||
| 1104 | (subclass SymbolicString ContentBearingObject) | 1111 | (subclass SymbolicString ContentBearingObject) | ||
| 1105 | (documentation SymbolicString "The &%Class of alphanumeric sequences.") | 1112 | (documentation SymbolicString "The &%Class of alphanumeric sequences.") | ||
| 1106 | 1113 | ||||
| 1107 | (subclass Character SymbolicString) | 1114 | (subclass Character SymbolicString) | ||
| 1108 | (documentation Character "An element of an alphabet, a set of numerals, etc. | 1115 | (documentation Character "An element of an alphabet, a set of numerals, etc. | ||
| 1109 | Note that a &%Character may or may not be part of a &%Language. &%Character | 1116 | Note that a &%Character may or may not be part of a &%Language. &%Character | ||
| 1110 | is a subclass of &%SymbolicString, because every instance of &%Character is | 1117 | is a subclass of &%SymbolicString, because every instance of &%Character is | ||
| 1111 | an alphanumeric sequence consisting of a single element.") | 1118 | an alphanumeric sequence consisting of a single element.") | ||
| 1112 | 1119 | ||||
| 1113 | (=> | 1120 | (=> | ||
| 1114 | (instance ?STRING SymbolicString) | 1121 | (instance ?STRING SymbolicString) | ||
| 1115 | (exists (?PART) | 1122 | (exists (?PART) | ||
| 1116 | (and | 1123 | (and | ||
| 1117 | (part ?PART ?STRING) | 1124 | (part ?PART ?STRING) | ||
| 1118 | (instance ?PART Character)))) | 1125 | (instance ?PART Character)))) | ||
| 1119 | 1126 | ||||
| 1120 | (instance containsInformation BinaryPredicate) | 1127 | (instance containsInformation BinaryPredicate) | ||
| 1121 | (instance containsInformation AsymmetricRelation) | 1128 | (instance containsInformation AsymmetricRelation) | ||
| 1122 | (subrelation containsInformation represents) | 1129 | (subrelation containsInformation represents) | ||
| 1123 | (domain containsInformation 1 ContentBearingObject) | 1130 | (domain containsInformation 1 ContentBearingObject) | ||
| 1124 | (domain containsInformation 2 Proposition) | 1131 | (domain containsInformation 2 Proposition) | ||
| 1125 | (documentation containsInformation "A subrelation of &%represents. This | 1132 | (documentation containsInformation "A subrelation of &%represents. This | ||
| 1126 | predicate relates a &%ContentBearingObject to the &%Proposition that is | 1133 | predicate relates a &%ContentBearingObject to the &%Proposition that is | ||
| 1127 | expressed by the &%ContentBearingObject. Examples include the relationships | 1134 | expressed by the &%ContentBearingObject. Examples include the relationships | ||
| 1128 | between a physical novel and its story and between a printed score and its | 1135 | between a physical novel and its story and between a printed score and its | ||
| 1129 | musical content.") | 1136 | musical content.") | ||
| 1130 | 1137 | ||||
| 1131 | (subclass Icon ContentBearingObject) | 1138 | (subclass Icon ContentBearingObject) | ||
| 1132 | (documentation Icon "This is the subclass of &%ContentBearingObjects | 1139 | (documentation Icon "This is the subclass of &%ContentBearingObjects | ||
| 1133 | which are not part of a &%Language and which have some sort of similarity | 1140 | which are not part of a &%Language and which have some sort of similarity | ||
| 1134 | with the &%Objects that they represent. This &%Class would include symbolic | 1141 | with the &%Objects that they represent. This &%Class would include symbolic | ||
| 1135 | roadway signs, 'icons' in a graphical computer operating system, etc.") | 3c) | 1142 | roadway signs, representational art works, photographs, etc.") | |
| 1136 | 1143 | ||||
| 1137 | (subclass MotionPicture Text) | 1144 | (subclass MotionPicture Text) | ||
| 1138 | (documentation MotionPicture "A &%ContentBearingObject which depicts motion | 1145 | (documentation MotionPicture "A &%ContentBearingObject which depicts motion | ||
| 1139 | (and which may have an audio or text component as well). This &%Class covers | 1146 | (and which may have an audio or text component as well). This &%Class covers | ||
| 1140 | films, videos, etc.") | 1147 | films, videos, etc.") | ||
| 1141 | 1148 | ||||
| 1142 | (subclass LinguisticExpression ContentBearingObject) | 1149 | (subclass LinguisticExpression ContentBearingObject) | ||
| 1143 | (disjoint LinguisticExpression Icon) | 1150 | (disjoint LinguisticExpression Icon) | ||
| 1144 | (documentation LinguisticExpression "This is the subclass of | 1151 | (documentation LinguisticExpression "This is the subclass of | ||
| 1145 | &%ContentBearingObjects which are language-related. Note that this &%Class | 1152 | &%ContentBearingObjects which are language-related. Note that this &%Class | ||
| 1146 | encompasses both &%Language and the the elements of &%Languages, | 1153 | encompasses both &%Language and the the elements of &%Languages, | ||
| 1147 | e.g. &%Words.") | 1154 | e.g. &%Words.") | ||
| 1148 | 1155 | ||||
| 1149 | (subclass Language LinguisticExpression) | 1156 | (subclass Language LinguisticExpression) | ||
| 1150 | (disjointDecomposition Language AnimalLanguage HumanLanguage ComputerLanguage) | 1157 | (disjointDecomposition Language AnimalLanguage HumanLanguage ComputerLanguage) | ||
| 1151 | (documentation Language "A system of signs for expressing thought. The | 1158 | (documentation Language "A system of signs for expressing thought. The | ||
| 1152 | system can be either natural or artificial, i.e. something that emerges | 1159 | system can be either natural or artificial, i.e. something that emerges | ||
| 1153 | gradually as a cultural artifact or something that is intentionally created | 1160 | gradually as a cultural artifact or something that is intentionally created | ||
| 1154 | by a person or group of people.") | 1161 | by a person or group of people.") | ||
| 1155 | 1162 | ||||
| 1156 | (subclass AnimalLanguage Language) | 1163 | (subclass AnimalLanguage Language) | ||
| 1157 | (documentation AnimalLanguage "The &%subclass of &%Languages used by | 1164 | (documentation AnimalLanguage "The &%subclass of &%Languages used by | ||
| 1158 | &%Animals other than &%Humans.") | 1165 | &%Animals other than &%Humans.") | ||
| 1159 | 1166 | ||||
| 1160 | (=> | 1167 | (=> | ||
| 1161 | (and | 1168 | (and | ||
| 1162 | (instance ?LANG AnimalLanguage) | 1169 | (instance ?LANG AnimalLanguage) | ||
| 1163 | (agent ?PROC ?AGENT) | 1170 | (agent ?PROC ?AGENT) | ||
| 1164 | (instrument ?PROC ?LANG)) | 1171 | (instrument ?PROC ?LANG)) | ||
| 1165 | (and | 1172 | (and | ||
| 1166 | (instance ?AGENT Animal) | 1173 | (instance ?AGENT Animal) | ||
| 1167 | (not (instance ?AGENT Human)))) | 1174 | (not (instance ?AGENT Human)))) | ||
| 1168 | 1175 | ||||
| 1169 | (subclass ArtificialLanguage Language) | 1176 | (subclass ArtificialLanguage Language) | ||
| 1170 | (documentation ArtificialLanguage "The &%subclass of &%Languages that are | 1177 | (documentation ArtificialLanguage "The &%subclass of &%Languages that are | ||
| 1171 | designed by &%Humans.") | 1178 | designed by &%Humans.") | ||
| 1172 | 1179 | ||||
| 1173 | (subclass ComputerLanguage ArtificialLanguage) | 1180 | (subclass ComputerLanguage ArtificialLanguage) | ||
| 1174 | (documentation ComputerLanguage "The class of &%Languages designed for | 1181 | (documentation ComputerLanguage "The class of &%Languages designed for | ||
| 1175 | and interpreted by a computer.") | 1182 | and interpreted by a computer.") | ||
| 1176 | 1183 | ||||
| 1177 | (=> | 1184 | (=> | ||
| 1178 | (and | 1185 | (and | ||
| 1179 | (instance ?LANG ComputerLanguage) | 1186 | (instance ?LANG ComputerLanguage) | ||
| 1180 | (agent ?PROC ?AGENT) | 1187 | (agent ?PROC ?AGENT) | ||
| 1181 | (instrument ?PROC ?LANG)) | 1188 | (instrument ?PROC ?LANG)) | ||
| 1182 | (instance ?AGENT Machine)) | 1189 | (instance ?AGENT Machine)) | ||
| 1183 | 1190 | ||||
| 1184 | (subclass HumanLanguage Language) | 1191 | (subclass HumanLanguage Language) | ||
| 1185 | (documentation HumanLanguage "The &%subclass of &%Languages used by | 1192 | (documentation HumanLanguage "The &%subclass of &%Languages used by | ||
| 1186 | &%Humans.") | 1193 | &%Humans.") | ||
| 1187 | 1194 | ||||
| 1188 | (=> | 1195 | (=> | ||
| 1189 | (and | 1196 | (and | ||
| 1190 | (instance ?LANG HumanLanguage) | 1197 | (instance ?LANG HumanLanguage) | ||
| 1191 | (agent ?PROC ?AGENT) | 1198 | (agent ?PROC ?AGENT) | ||
| 1192 | (instrument ?PROC ?LANG)) | 1199 | (instrument ?PROC ?LANG)) | ||
| 1193 | (instance ?AGENT Human)) | 1200 | (instance ?AGENT Human)) | ||
| 1194 | 1201 | ||||
| 1195 | (subclass ConstructedLanguage HumanLanguage) | 1202 | (subclass ConstructedLanguage HumanLanguage) | ||
| 1196 | (subclass ConstructedLanguage ArtificialLanguage) | 1203 | (subclass ConstructedLanguage ArtificialLanguage) | ||
| 1197 | (documentation ConstructedLanguage "The &%subclass of &%HumanLanguages | 1204 | (documentation ConstructedLanguage "The &%subclass of &%HumanLanguages | ||
| 1198 | that did not originate diachronically, but were designed by a &%Human. | 1205 | that did not originate diachronically, but were designed by a &%Human. | ||
| 1199 | This &%Class includes languages like Esperanto that were created to | 1206 | This &%Class includes languages like Esperanto that were created to | ||
| 1200 | facilitate international communication.") | 3c) | 1207 | facilitate international communication, as well as scientific and | |
| 1208 | technical jargons.") | ||||
| 1201 | 1209 | ||||
| 1202 | (=> | 1210 | (=> | ||
| 1203 | (instance ?LANG ConstructedLanguage) | 1211 | (instance ?LANG ConstructedLanguage) | ||
| 1204 | (exists (?PLAN) | 1212 | (exists (?PLAN) | ||
| 1205 | (and | 1213 | (and | ||
| 1206 | (instance ?PLAN Planning) | 1214 | (instance ?PLAN Planning) | ||
| 1207 | (result ?PLAN ?LANG)))) | 1215 | (result ?PLAN ?LANG)))) | ||
| 1208 | 1216 | ||||
| 1209 | (subclass NaturalLanguage HumanLanguage) | 1217 | (subclass NaturalLanguage HumanLanguage) | ||
| 1210 | (disjoint NaturalLanguage ConstructedLanguage) | 1218 | (disjoint NaturalLanguage ConstructedLanguage) | ||
| 1211 | (documentation NaturalLanguage "The &%subclass of &%HumanLanguages which | 1219 | (documentation NaturalLanguage "The &%subclass of &%HumanLanguages which | ||
| 1212 | are not designed and which evolve from generation to generation. This | 1220 | are not designed and which evolve from generation to generation. This | ||
| 1213 | &%Class includes all of the national languages, e.g. English, Spanish, | 1221 | &%Class includes all of the national languages, e.g. English, Spanish, | ||
| 1214 | Japanese, etc. Note that this class includes dialects of natural | 1222 | Japanese, etc. Note that this class includes dialects of natural | ||
| 1215 | languages.") | 1223 | languages.") | ||
| 1216 | 1224 | ||||
| 1217 | (subclass Word LinguisticExpression) | 1225 | (subclass Word LinguisticExpression) | ||
| 1218 | (documentation Word "A term of a &%Language that represents a concept.") | 1226 | (documentation Word "A term of a &%Language that represents a concept.") | ||
| 1219 | 1227 | ||||
| 1220 | (subclass Formula Sentence) | 1228 | (subclass Formula Sentence) | ||
| 1221 | (documentation Formula "A syntactically well-formed formula in the | 1229 | (documentation Formula "A syntactically well-formed formula in the | ||
| 1222 | SUO-KIF knowledge representation language.") | 1230 | SUO-KIF knowledge representation language.") | ||
| 1223 | 1231 | ||||
| 1224 | ;; The following ground facts incorporate the 'Agent' hierarchy from the | 1232 | ;; The following ground facts incorporate the 'Agent' hierarchy from the | ||
| 1225 | ;; corresponding ontology on the Ontolingua server. It also includes | 1233 | ;; corresponding ontology on the Ontolingua server. It also includes | ||
| 1226 | ;; predicates defined in the ITBM-CNR ontology "Actors". | 1234 | ;; predicates defined in the ITBM-CNR ontology "Actors". | ||
| 1227 | 1235 | ||||
| 1228 | (subclass Agent Object) | 1236 | (subclass Agent Object) | ||
| 1229 | (documentation Agent "Something or someone that can act on its own and | 1237 | (documentation Agent "Something or someone that can act on its own and | ||
| 1230 | produce changes in the world.") | 1238 | produce changes in the world.") | ||
| 1231 | 1239 | ||||
| 1232 | (<=> | 1240 | (<=> | ||
| 1233 | (instance ?AGENT Agent) | 1241 | (instance ?AGENT Agent) | ||
| 1234 | (exists (?PROC) | 1242 | (exists (?PROC) | ||
| 1235 | (agent ?PROC ?AGENT))) | 1243 | (agent ?PROC ?AGENT))) | ||
| 1236 | 1244 | ||||
| 1237 | (subclass SentientAgent Agent) | 1245 | (subclass SentientAgent Agent) | ||
| 1238 | (documentation SentientAgent "An &%Agent that has rights but may or may | 1246 | (documentation SentientAgent "An &%Agent that has rights but may or may | ||
| 1239 | not have responsibilities and the ability to reason. If the latter are | 1247 | not have responsibilities and the ability to reason. If the latter are | ||
| 1240 | present, then the &%Agent is also an instance of &%CognitiveAgent. | 1248 | present, then the &%Agent is also an instance of &%CognitiveAgent. | ||
| 1241 | Domesticated animals are an example of &%SentientAgents that are not | 1249 | Domesticated animals are an example of &%SentientAgents that are not | ||
| 1242 | also &%CognitiveAgents.") | 1250 | also &%CognitiveAgents.") | ||
| 1243 | 1251 | ||||
| 1244 | (subclass CognitiveAgent SentientAgent) | 1252 | (subclass CognitiveAgent SentientAgent) | ||
| 1245 | (documentation CognitiveAgent "A &%SentientAgent with responsibilities | 1253 | (documentation CognitiveAgent "A &%SentientAgent with responsibilities | ||
| 1246 | and the ability to reason, deliberate, make plans, etc. This is | 1254 | and the ability to reason, deliberate, make plans, etc. This is | ||
| 1247 | essentially the legal/ethical notion of a person. Note that, although | 1255 | essentially the legal/ethical notion of a person. Note that, although | ||
| 1248 | &%Human is a subclass of &%CognitiveAgent, there may be instances of | 1256 | &%Human is a subclass of &%CognitiveAgent, there may be instances of | ||
| 1249 | &%CognitiveAgent which are not also instances of &%Human. For example, | 1257 | &%CognitiveAgent which are not also instances of &%Human. For example, | ||
| 1250 | chimpanzees, gorillas, dolphins, whales, and some extraterrestrials | 1258 | chimpanzees, gorillas, dolphins, whales, and some extraterrestrials | ||
| 1251 | (if they exist) may be &%CognitiveAgents.") | 1259 | (if they exist) may be &%CognitiveAgents.") | ||
| 1252 | 1260 | ||||
| 1253 | (subclass Process Physical) | 1261 | (subclass Process Physical) | ||
| 1254 | (documentation Process "Intuitively, the class of things that happen | 1262 | (documentation Process "Intuitively, the class of things that happen | ||
| 1255 | and have temporal parts or stages. Examples include extended events | 1263 | and have temporal parts or stages. Examples include extended events | ||
| 1256 | like a football match or a race, actions like &%Searching and &%Reading, | 1264 | like a football match or a race, actions like &%Searching and &%Reading, | ||
| 1257 | and biological processes. The formal definition is: anything that lasts | 1265 | and biological processes. The formal definition is: anything that lasts | ||
| 1258 | for a time but is not an &%Object. Note that a &%Process may have | 1266 | for a time but is not an &%Object. Note that a &%Process may have | ||
| 1259 | participants 'inside' it which are &%Objects, such as the players | 1267 | participants 'inside' it which are &%Objects, such as the players | ||
| 1260 | in a football match. In a 4D ontology, a &%Process is something whose | 1268 | in a football match. In a 4D ontology, a &%Process is something whose | ||
| 1261 | spatiotemporal extent is thought of as dividing into temporal stages | 1269 | spatiotemporal extent is thought of as dividing into temporal stages | ||
| 1262 | roughly perpendicular to the time-axis.") | 1270 | roughly perpendicular to the time-axis.") | ||
| 1263 | 1271 | ||||
| 1264 | (subclass DualObjectProcess Process) | 1272 | (subclass DualObjectProcess Process) | ||
| 1265 | (documentation DualObjectProcess "Any &%Process that requires two, | 1273 | (documentation DualObjectProcess "Any &%Process that requires two, | ||
| 1266 | nonidentical &%patients.") | 1274 | nonidentical &%patients.") | ||
| 1267 | 1275 | ||||
| 1268 | (=> | 1276 | (=> | ||
| 1269 | (instance ?PROCESS DualObjectProcess) | 1277 | (instance ?PROCESS DualObjectProcess) | ||
| 1270 | (exists (?OBJ1 ?OBJ2) | 1278 | (exists (?OBJ1 ?OBJ2) | ||
| 1271 | (and | 1279 | (and | ||
| 1272 | (patient ?PROCESS ?OBJ1) | 1280 | (patient ?PROCESS ?OBJ1) | ||
| 1273 | (patient ?PROCESS ?OBJ2) | 1281 | (patient ?PROCESS ?OBJ2) | ||
| 1274 | (not (equal ?OBJ1 ?OBJ2))))) | 1282 | (not (equal ?OBJ1 ?OBJ2))))) | ||
| 1275 | 1283 | ||||
| 1276 | (subclass Abstract Entity) | 1284 | (subclass Abstract Entity) | ||
| 1277 | (disjointDecomposition Abstract Quantity Attribute SetOrClass Relation Proposition Graph GraphElement) | 1285 | (disjointDecomposition Abstract Quantity Attribute SetOrClass Relation Proposition Graph GraphElement) | ||
| 1278 | (documentation Abstract "Properties or qualities as distinguished from any | 1286 | (documentation Abstract "Properties or qualities as distinguished from any | ||
| 1279 | particular embodiment of the properties/qualities in a physical medium. | 1287 | particular embodiment of the properties/qualities in a physical medium. | ||
| 1280 | Instances of Abstract can be said to exist in the same sense as mathematical | 1288 | Instances of Abstract can be said to exist in the same sense as mathematical | ||
| 1281 | objects such as sets and relations, but they cannot exist at a particular | 1289 | objects such as sets and relations, but they cannot exist at a particular | ||
| 1282 | place and time without some physical encoding or embodiment.") | 1290 | place and time without some physical encoding or embodiment.") | ||
| 1283 | 1291 | ||||
| 1284 | ;; Something is Abstract just in case it has neither a spatial nor temporal | 1292 | ;; Something is Abstract just in case it has neither a spatial nor temporal | ||
| 1285 | ;; location. | 1293 | ;; location. | ||
| 1286 | 1294 | ||||
| 1287 | (<=> | 1295 | (<=> | ||
| 1288 | (instance ?ABS Abstract) | 1296 | (instance ?ABS Abstract) | ||
| 1289 | (not | 1297 | (not | ||
| 1290 | (exists (?POINT) | 1298 | (exists (?POINT) | ||
| 1291 | (or | 1299 | (or | ||
| 1292 | (located ?ABS ?POINT) | 1300 | (located ?ABS ?POINT) | ||
| 1293 | (time ?ABS ?POINT))))) | 1301 | (time ?ABS ?POINT))))) | ||
| 1294 | 1302 | ||||
| 1295 | (subclass Quantity Abstract) | 1303 | (subclass Quantity Abstract) | ||
| 1296 | (documentation Quantity "Any specification of how many or how much of | 1304 | (documentation Quantity "Any specification of how many or how much of | ||
| 1297 | something there is. Accordingly, there are two subclasses of &%Quantity: | 1305 | something there is. Accordingly, there are two subclasses of &%Quantity: | ||
| 1298 | &%Number (how many) and &%PhysicalQuantity (how much).") | 1306 | &%Number (how many) and &%PhysicalQuantity (how much).") | ||
| 1299 | 1307 | ||||
| 1300 | (subclass Attribute Abstract) | 1308 | (subclass Attribute Abstract) | ||
| 1301 | (partition Attribute InternalAttribute RelationalAttribute) | 1309 | (partition Attribute InternalAttribute RelationalAttribute) | ||
| 1302 | (documentation Attribute "Qualities which we cannot or choose not to | 1310 | (documentation Attribute "Qualities which we cannot or choose not to | ||
| 1303 | reify into subclasses of &%Object.") | 1311 | reify into subclasses of &%Object.") | ||
| 1304 | 1312 | ||||
| 1305 | (instance property BinaryPredicate) | 1313 | (instance property BinaryPredicate) | ||
| 1306 | (domain property 1 Entity) | 1314 | (domain property 1 Entity) | ||
| 1307 | (domain property 2 Attribute) | 1315 | (domain property 2 Attribute) | ||
| 1308 | (documentation property "This &%Predicate holds between an instance of | 1316 | (documentation property "This &%Predicate holds between an instance of | ||
| 1309 | &%Entity and an instance of &%Attribute. (property ?ENTITY ?ATTR) | 1317 | &%Entity and an instance of &%Attribute. (property ?ENTITY ?ATTR) | ||
| 1310 | means that ?ENTITY has the &%Attribute ?ATTR.") | 1318 | means that ?ENTITY has the &%Attribute ?ATTR.") | ||
| 1311 | 1319 | ||||
| 1312 | (instance attribute AsymmetricRelation) | 1320 | (instance attribute AsymmetricRelation) | ||
| 1313 | (instance attribute IrreflexiveRelation) | 1321 | (instance attribute IrreflexiveRelation) | ||
| 1314 | (subrelation attribute property) | 1322 | (subrelation attribute property) | ||
| 1315 | (domain attribute 1 Object) | 1323 | (domain attribute 1 Object) | ||
| 1316 | (documentation attribute "(&%attribute ?OBJECT ?PROPERTY) means that | 1324 | (documentation attribute "(&%attribute ?OBJECT ?PROPERTY) means that | ||
| 1317 | ?PROPERTY is a &%Attribute of ?OBJECT. For example, | 1325 | ?PROPERTY is a &%Attribute of ?OBJECT. For example, | ||
| 1318 | (&%attribute &%MyLittleRedWagon &%Red).") | 1326 | (&%attribute &%MyLittleRedWagon &%Red).") | ||
| 1319 | 1327 | ||||
| 1320 | (instance manner AsymmetricRelation) | 1328 | (instance manner AsymmetricRelation) | ||
| 1321 | (instance manner IrreflexiveRelation) | 1329 | (instance manner IrreflexiveRelation) | ||
| 1322 | (subrelation manner property) | 1330 | (subrelation manner property) | ||
| 1323 | (domain manner 1 Process) | 1331 | (domain manner 1 Process) | ||
| 1324 | (disjointRelation manner attribute) | 1332 | (disjointRelation manner attribute) | ||
| 1325 | (documentation manner "(&%manner ?PROCESS ?MANNER) means that the | 1333 | (documentation manner "(&%manner ?PROCESS ?MANNER) means that the | ||
| 1326 | &%Process ?PROCESS is qualified by the &%Attribute ?MANNER. The &%Attributes | 1334 | &%Process ?PROCESS is qualified by the &%Attribute ?MANNER. The &%Attributes | ||
| 1327 | of &%Processes are usually denoted by adverbs and include things like the | 1335 | of &%Processes are usually denoted by adverbs and include things like the | ||
| 1328 | speed of the wind, the style of a dance, or the intensity of a sports | 1336 | speed of the wind, the style of a dance, or the intensity of a sports | ||
| 1329 | competition.") | 1337 | competition.") | ||
| 1330 | 1338 | ||||
| 1331 | (instance AbstractionFn UnaryFunction) | 1339 | (instance AbstractionFn UnaryFunction) | ||
| 1332 | (instance AbstractionFn PartialValuedRelation) | 1340 | (instance AbstractionFn PartialValuedRelation) | ||
| 1333 | (domain AbstractionFn 1 Class) | 1341 | (domain AbstractionFn 1 Class) | ||
| 1334 | (range AbstractionFn Attribute) | 1342 | (range AbstractionFn Attribute) | ||
| 1335 | (documentation AbstractionFn "A &%UnaryFunction that maps a &%Class into | 1343 | (documentation AbstractionFn "A &%UnaryFunction that maps a &%Class into | ||
| 1336 | the instance of &%Attribute that specifies the condition(s) for membership | 1344 | the instance of &%Attribute that specifies the condition(s) for membership | ||
| 1337 | in the &%Class.") | 1345 | in the &%Class.") | ||
| 1338 | 1346 | ||||
| 1339 | (<=> | 1347 | (<=> | ||
| 1340 | (equal (AbstractionFn ?CLASS) ?ATTR) | 1348 | (equal (AbstractionFn ?CLASS) ?ATTR) | ||
| 1341 | (forall (?INST) | 1349 | (forall (?INST) | ||
| 1342 | (<=> | 1350 | (<=> | ||
| 1343 | (instance ?INST ?CLASS) | 1351 | (instance ?INST ?CLASS) | ||
| 1344 | (property ?INST ?ATTR)))) | 1352 | (property ?INST ?ATTR)))) | ||
| 1345 | 1353 | ||||
| 1346 | (instance ExtensionFn UnaryFunction) | 1354 | (instance ExtensionFn UnaryFunction) | ||
| 1347 | (instance ExtensionFn PartialValuedRelation) | 1355 | (instance ExtensionFn PartialValuedRelation) | ||
| 1348 | (domain ExtensionFn 1 Attribute) | 1356 | (domain ExtensionFn 1 Attribute) | ||
| 1349 | (range ExtensionFn Class) | 1357 | (range ExtensionFn Class) | ||
| 1350 | (documentation ExtensionFn "A &%UnaryFunction that maps an &%Attribute | 1358 | (documentation ExtensionFn "A &%UnaryFunction that maps an &%Attribute | ||
| 1351 | into the &%Class whose condition for membership is the &%Attribute.") | 1359 | into the &%Class whose condition for membership is the &%Attribute.") | ||
| 1352 | 1360 | ||||
| 1353 | (<=> | 1361 | (<=> | ||
| 1354 | (equal (ExtensionFn ?ATTRIBUTE) ?CLASS) | 1362 | (equal (ExtensionFn ?ATTRIBUTE) ?CLASS) | ||
| 1355 | (equal (AbstractionFn ?CLASS) ?ATTRIBUTE)) | 1363 | (equal (AbstractionFn ?CLASS) ?ATTRIBUTE)) | ||
| 1356 | 1364 | ||||
| 1357 | (subclass InternalAttribute Attribute) | 1365 | (subclass InternalAttribute Attribute) | ||
| 1358 | (documentation InternalAttribute "Any &%Attribute of an &%Entity that is an | 1366 | (documentation InternalAttribute "Any &%Attribute of an &%Entity that is an | ||
| 1359 | internal property of the &%Entity, e.g. its shape, its color, its fragility, | 1367 | internal property of the &%Entity, e.g. its shape, its color, its fragility, | ||
| 1360 | etc.") | 1368 | etc.") | ||
| 1361 | 1369 | ||||
| 1362 | (subclass RelationalAttribute Attribute) | 1370 | (subclass RelationalAttribute Attribute) | ||
| 1363 | (documentation RelationalAttribute "Any &%Attribute that an &%Entity has by | 1371 | (documentation RelationalAttribute "Any &%Attribute that an &%Entity has by | ||
| 1364 | virtue of a relationship that it bears to another &%Entity or set of &%Entities, | 1372 | virtue of a relationship that it bears to another &%Entity or set of &%Entities, | ||
| 1365 | e.g. &%SocialRoles and &%PositionalAttributes.") | 1373 | e.g. &%SocialRoles and &%PositionalAttributes.") | ||
| 1366 | 1374 | ||||
| 1367 | ;; The following formulas incorporate the Number hierarchy from the | 1375 | ;; The following formulas incorporate the Number hierarchy from the | ||
| 1368 | ;; ontology 'kif-numbers' on the Ontolingua server. | 1376 | ;; ontology 'kif-numbers' on the Ontolingua server. | ||
| 1369 | 1377 | ||||
| 1370 | (subclass Number Quantity) | 1378 | (subclass Number Quantity) | ||
| 1371 | (partition Number RealNumber ImaginaryNumber ComplexNumber) | 1379 | (partition Number RealNumber ImaginaryNumber ComplexNumber) | ||
| 1372 | (documentation Number "A measure of how many things there are, or how | 1380 | (documentation Number "A measure of how many things there are, or how | ||
| 1373 | much there is, of a certain kind. &%Numbers are subclassed into | 1381 | much there is, of a certain kind. &%Numbers are subclassed into | ||
| 1374 | &%RealNumber, &%ComplexNumber, and &%ImaginaryNumber.") | 1382 | &%RealNumber, &%ComplexNumber, and &%ImaginaryNumber.") | ||
| 1375 | 1383 | ||||
| 1376 | (instance lessThan BinaryPredicate) | 1384 | (instance lessThan BinaryPredicate) | ||
| 1377 | (instance lessThan TransitiveRelation) | 1385 | (instance lessThan TransitiveRelation) | ||
| 1378 | (instance lessThan IrreflexiveRelation) | 1386 | (instance lessThan IrreflexiveRelation) | ||
| 1379 | (instance lessThan RelationExtendedToQuantities) | 1387 | (instance lessThan RelationExtendedToQuantities) | ||
| 1380 | (trichotomizingOn lessThan RealNumber) | 1388 | (trichotomizingOn lessThan RealNumber) | ||
| 1381 | (domain lessThan 1 Quantity) | 1389 | (domain lessThan 1 Quantity) | ||
| 1382 | (domain lessThan 2 Quantity) | 1390 | (domain lessThan 2 Quantity) | ||
| 1383 | (documentation lessThan "(&%lessThan ?NUMBER1 ?NUMBER2) is true just | 1391 | (documentation lessThan "(&%lessThan ?NUMBER1 ?NUMBER2) is true just | ||
| 1384 | in case the &%Quantity ?NUMBER1 is less than the &%Quantity ?NUMBER2.") | 1392 | in case the &%Quantity ?NUMBER1 is less than the &%Quantity ?NUMBER2.") | ||
| 1385 | 1393 | ||||
| 1386 | (instance greaterThan BinaryPredicate) | 1394 | (instance greaterThan BinaryPredicate) | ||
| 1387 | (instance greaterThan TransitiveRelation) | 1395 | (instance greaterThan TransitiveRelation) | ||
| 1388 | (instance greaterThan IrreflexiveRelation) | 1396 | (instance greaterThan IrreflexiveRelation) | ||
| 1389 | (instance greaterThan RelationExtendedToQuantities) | 1397 | (instance greaterThan RelationExtendedToQuantities) | ||
| 1390 | (trichotomizingOn greaterThan RealNumber) | 1398 | (trichotomizingOn greaterThan RealNumber) | ||
| 1391 | (domain greaterThan 1 Quantity) | 1399 | (domain greaterThan 1 Quantity) | ||
| 1392 | (domain greaterThan 2 Quantity) | 1400 | (domain greaterThan 2 Quantity) | ||
| 1393 | (inverse greaterThan lessThan) | 1401 | (inverse greaterThan lessThan) | ||
| 1394 | (documentation greaterThan "(&%greaterThan ?NUMBER1 ?NUMBER2) is true | 1402 | (documentation greaterThan "(&%greaterThan ?NUMBER1 ?NUMBER2) is true | ||
| 1395 | just in case the &%Quantity ?NUMBER1 is greater than the &%Quantity | 1403 | just in case the &%Quantity ?NUMBER1 is greater than the &%Quantity | ||
| 1396 | ?NUMBER2.") | 1404 | ?NUMBER2.") | ||
| 1397 | 1405 | ||||
| 1398 | (instance lessThanOrEqualTo BinaryPredicate) | 1406 | (instance lessThanOrEqualTo BinaryPredicate) | ||
| 1399 | (instance lessThanOrEqualTo PartialOrderingRelation) | 1407 | (instance lessThanOrEqualTo PartialOrderingRelation) | ||
| 1400 | (instance lessThanOrEqualTo RelationExtendedToQuantities) | 1408 | (instance lessThanOrEqualTo RelationExtendedToQuantities) | ||
| 1401 | (trichotomizingOn lessThanOrEqualTo RealNumber) | 1409 | (trichotomizingOn lessThanOrEqualTo RealNumber) | ||
| 1402 | (domain lessThanOrEqualTo 1 Quantity) | 1410 | (domain lessThanOrEqualTo 1 Quantity) | ||
| 1403 | (domain lessThanOrEqualTo 2 Quantity) | 1411 | (domain lessThanOrEqualTo 2 Quantity) | ||
| 1404 | (documentation lessThanOrEqualTo "(&%lessThanOrEqualTo ?NUMBER1 ?NUMBER2) | 1412 | (documentation lessThanOrEqualTo "(&%lessThanOrEqualTo ?NUMBER1 ?NUMBER2) | ||
| 1405 | is true just in case the &%Quantity ?NUMBER1 is less than or equal to | 1413 | is true just in case the &%Quantity ?NUMBER1 is less than or equal to | ||
| 1406 | the &%Quantity ?NUMBER2.") | 1414 | the &%Quantity ?NUMBER2.") | ||
| 1407 | 1415 | ||||
| 1408 | (<=> | 1416 | (<=> | ||
| 1409 | (lessThanOrEqualTo ?NUMBER1 ?NUMBER2) | 1417 | (lessThanOrEqualTo ?NUMBER1 ?NUMBER2) | ||
| 1410 | (or | 1418 | (or | ||
| 1411 | (equal ?NUMBER1 ?NUMBER2) | 1419 | (equal ?NUMBER1 ?NUMBER2) | ||
| 1412 | (lessThan ?NUMBER1 ?NUMBER2))) | 1420 | (lessThan ?NUMBER1 ?NUMBER2))) | ||
| 1413 | 1421 | ||||
| 1414 | (instance greaterThanOrEqualTo BinaryPredicate) | 1422 | (instance greaterThanOrEqualTo BinaryPredicate) | ||
| 1415 | (instance greaterThanOrEqualTo PartialOrderingRelation) | 1423 | (instance greaterThanOrEqualTo PartialOrderingRelation) | ||
| 1416 | (instance greaterThanOrEqualTo RelationExtendedToQuantities) | 1424 | (instance greaterThanOrEqualTo RelationExtendedToQuantities) | ||
| 1417 | (trichotomizingOn greaterThanOrEqualTo RealNumber) | 1425 | (trichotomizingOn greaterThanOrEqualTo RealNumber) | ||
| 1418 | (domain greaterThanOrEqualTo 1 Quantity) | 1426 | (domain greaterThanOrEqualTo 1 Quantity) | ||
| 1419 | (domain greaterThanOrEqualTo 2 Quantity) | 1427 | (domain greaterThanOrEqualTo 2 Quantity) | ||
| 1420 | (inverse greaterThanOrEqualTo lessThanOrEqualTo) | 1428 | (inverse greaterThanOrEqualTo lessThanOrEqualTo) | ||
| 1421 | (documentation greaterThanOrEqualTo "(&%greaterThanOrEqualTo ?NUMBER1 | 1429 | (documentation greaterThanOrEqualTo "(&%greaterThanOrEqualTo ?NUMBER1 | ||
| 1422 | ?NUMBER2) is true just in case the &%Quantity ?NUMBER1 is greater | 1430 | ?NUMBER2) is true just in case the &%Quantity ?NUMBER1 is greater | ||
| 1423 | than the &%Quantity ?NUMBER2.") | 1431 | than the &%Quantity ?NUMBER2.") | ||
| 1424 | 1432 | ||||
| 1425 | (<=> | 1433 | (<=> | ||
| 1426 | (greaterThanOrEqualTo ?NUMBER1 ?NUMBER2) | 1434 | (greaterThanOrEqualTo ?NUMBER1 ?NUMBER2) | ||
| 1427 | (or | 1435 | (or | ||
| 1428 | (equal ?NUMBER1 ?NUMBER2) | 1436 | (equal ?NUMBER1 ?NUMBER2) | ||
| 1429 | (greaterThan ?NUMBER1 ?NUMBER2))) | 1437 | (greaterThan ?NUMBER1 ?NUMBER2))) | ||
| 1430 | 1438 | ||||
| 1431 | (subclass RealNumber Number) | 1439 | (subclass RealNumber Number) | ||
| 1432 | (partition RealNumber NegativeRealNumber NonnegativeRealNumber) | 1440 | (partition RealNumber NegativeRealNumber NonnegativeRealNumber) | ||
| 1433 | (partition RealNumber RationalNumber IrrationalNumber) | 1441 | (partition RealNumber RationalNumber IrrationalNumber) | ||
| 1434 | (documentation RealNumber "Any &%Number that can be expressed as a | 1442 | (documentation RealNumber "Any &%Number that can be expressed as a | ||
| 1435 | (possibly infinite) decimal, i.e. any &%Number that has a position | 1443 | (possibly infinite) decimal, i.e. any &%Number that has a position | ||
| 1436 | on the number line.") | 1444 | on the number line.") | ||
| 1437 | 1445 | ||||
| 1438 | (subclass ImaginaryNumber Number) | 1446 | (subclass ImaginaryNumber Number) | ||
| 1439 | (documentation ImaginaryNumber "Any &%Number that is the result of | 1447 | (documentation ImaginaryNumber "Any &%Number that is the result of | ||
| 1440 | multiplying a &%RealNumber by the square root of -1.") | 1448 | multiplying a &%RealNumber by the square root of -1.") | ||
| 1441 | 1449 | ||||
| 1442 | (=> | 1450 | (=> | ||
| 1443 | (instance ?NUMBER ImaginaryNumber) | 1451 | (instance ?NUMBER ImaginaryNumber) | ||
| 1444 | (exists (?REAL) | 1452 | (exists (?REAL) | ||
| 1445 | (and | 1453 | (and | ||
| 1446 | (instance ?REAL RealNumber) | 1454 | (instance ?REAL RealNumber) | ||
| 1447 | (equal ?NUMBER (MultiplicationFn ?REAL (SquareRootFn -1)))))) | 1455 | (equal ?NUMBER (MultiplicationFn ?REAL (SquareRootFn -1)))))) | ||
| 1448 | 1456 | ||||
| 1449 | (subclass RationalNumber RealNumber) | 1457 | (subclass RationalNumber RealNumber) | ||
| 1450 | (documentation RationalNumber "Any &%RealNumber that is the product of | 1458 | (documentation RationalNumber "Any &%RealNumber that is the product of | ||
| 1451 | dividing two &%Integers.") | 1459 | dividing two &%Integers.") | ||
| 1452 | 1460 | ||||
| 1453 | (subclass IrrationalNumber RealNumber) | 1461 | (subclass IrrationalNumber RealNumber) | ||
| 1454 | (documentation IrrationalNumber "Any &%RealNumber that is not also a | 1462 | (documentation IrrationalNumber "Any &%RealNumber that is not also a | ||
| 1455 | &%RationalNumber.") | 1463 | &%RationalNumber.") | ||
| 1456 | 1464 | ||||
| 1457 | (subclass NonnegativeRealNumber RealNumber) | 1465 | (subclass NonnegativeRealNumber RealNumber) | ||
| 1458 | (documentation NonnegativeRealNumber "A &%RealNumber that is greater than | 1466 | (documentation NonnegativeRealNumber "A &%RealNumber that is greater than | ||
| 1459 | or equal to zero.") | 1467 | or equal to zero.") | ||
| 1460 | 1468 | ||||
| 1461 | (<=> | 1469 | (<=> | ||
| 1462 | (instance ?NUMBER NonnegativeRealNumber) | 1470 | (instance ?NUMBER NonnegativeRealNumber) | ||
| 1463 | (and | 1471 | (and | ||
| 1464 | (greaterThanOrEqualTo ?NUMBER 0) | 1472 | (greaterThanOrEqualTo ?NUMBER 0) | ||
| 1465 | (instance ?NUMBER RealNumber))) | 1473 | (instance ?NUMBER RealNumber))) | ||
| 1466 | 1474 | ||||
| 1467 | (subclass PositiveRealNumber NonnegativeRealNumber) | 1475 | (subclass PositiveRealNumber NonnegativeRealNumber) | ||
| 1468 | (documentation PositiveRealNumber "A &%RealNumber that is greater than | 1476 | (documentation PositiveRealNumber "A &%RealNumber that is greater than | ||
| 1469 | zero.") | 1477 | zero.") | ||
| 1470 | 1478 | ||||
| 1471 | (<=> | 1479 | (<=> | ||
| 1472 | (instance ?NUMBER PositiveRealNumber) | 1480 | (instance ?NUMBER PositiveRealNumber) | ||
| 1473 | (and | 1481 | (and | ||
| 1474 | (greaterThan ?NUMBER 0) | 1482 | (greaterThan ?NUMBER 0) | ||
| 1475 | (instance ?NUMBER RealNumber))) | 1483 | (instance ?NUMBER RealNumber))) | ||
| 1476 | 1484 | ||||
| 1477 | (subclass NegativeRealNumber RealNumber) | 1485 | (subclass NegativeRealNumber RealNumber) | ||
| 1478 | (documentation NegativeRealNumber "A &%RealNumber that is less than | 1486 | (documentation NegativeRealNumber "A &%RealNumber that is less than | ||
| 1479 | zero.") | 1487 | zero.") | ||
| 1480 | 1488 | ||||
| 1481 | (<=> | 1489 | (<=> | ||
| 1482 | (instance ?NUMBER NegativeRealNumber) | 1490 | (instance ?NUMBER NegativeRealNumber) | ||
| 1483 | (and | 1491 | (and | ||
| 1484 | (lessThan ?NUMBER 0) | 1492 | (lessThan ?NUMBER 0) | ||
| 1485 | (instance ?NUMBER RealNumber))) | 1493 | (instance ?NUMBER RealNumber))) | ||
| 1486 | 1494 | ||||
| 1487 | (subclass Integer RationalNumber) | 1495 | (subclass Integer RationalNumber) | ||
| 1488 | (partition Integer OddInteger EvenInteger) | 1496 | (partition Integer OddInteger EvenInteger) | ||
| 1489 | (partition Integer NegativeInteger NonnegativeInteger) | 1497 | (partition Integer NegativeInteger NonnegativeInteger) | ||
| 1490 | (documentation Integer "A negative or nonnegative whole number.") | 1498 | (documentation Integer "A negative or nonnegative whole number.") | ||
| 1491 | 1499 | ||||
| 1492 | (subclass EvenInteger Integer) | 1500 | (subclass EvenInteger Integer) | ||
| 1493 | (documentation EvenInteger "An &%Integer that is evenly divisible | 1501 | (documentation EvenInteger "An &%Integer that is evenly divisible | ||
| 1494 | by 2.") | 1502 | by 2.") | ||
| 1495 | 1503 | ||||
| 1496 | (subclass OddInteger Integer) | 1504 | (subclass OddInteger Integer) | ||
| 1497 | (documentation OddInteger "An &%Integer that is not evenly divisible | 1505 | (documentation OddInteger "An &%Integer that is not evenly divisible | ||
| 1498 | by 2.") | 1506 | by 2.") | ||
| 1499 | 1507 | ||||
| 1500 | (subclass PrimeNumber Integer) | 1508 | (subclass PrimeNumber Integer) | ||
| 1501 | (documentation PrimeNumber "An &%Integer that is evenly divisible only | 1509 | (documentation PrimeNumber "An &%Integer that is evenly divisible only | ||
| 1502 | by itself and 1.") | 1510 | by itself and 1.") | ||
| 1503 | 1511 | ||||
| 1504 | (subclass NonnegativeInteger Integer) | 1512 | (subclass NonnegativeInteger Integer) | ||
| 1505 | (subclass NonnegativeInteger NonnegativeRealNumber) | 1513 | (subclass NonnegativeInteger NonnegativeRealNumber) | ||
| 1506 | (documentation NonnegativeInteger "An &%Integer that is greater than | 1514 | (documentation NonnegativeInteger "An &%Integer that is greater than | ||
| 1507 | or equal to zero.") | 1515 | or equal to zero.") | ||
| 1508 | 1516 | ||||
| 1509 | (subclass NegativeInteger Integer) | 1517 | (subclass NegativeInteger Integer) | ||
| 1510 | (subclass NegativeInteger NegativeRealNumber) | 1518 | (subclass NegativeInteger NegativeRealNumber) | ||
| 1511 | (documentation NegativeInteger "An &%Integer that is less than zero.") | 1519 | (documentation NegativeInteger "An &%Integer that is less than zero.") | ||
| 1512 | 1520 | ||||
| 1513 | (subclass PositiveInteger NonnegativeInteger) | 1521 | (subclass PositiveInteger NonnegativeInteger) | ||
| 1514 | (subclass PositiveInteger PositiveRealNumber) | 1522 | (subclass PositiveInteger PositiveRealNumber) | ||
| 1515 | (documentation PositiveInteger "An &%Integer that is greater than zero.") | 1523 | (documentation PositiveInteger "An &%Integer that is greater than zero.") | ||
| 1516 | 1524 | ||||
| 1517 | (subclass BinaryNumber RealNumber) | 1525 | (subclass BinaryNumber RealNumber) | ||
| 1518 | (documentation BinaryNumber "Elements from the number system with base 2. | 1526 | (documentation BinaryNumber "Elements from the number system with base 2. | ||
| 1519 | Every &%BinaryNumber is expressed as a sequence of the digits 1 and 0.") | 1527 | Every &%BinaryNumber is expressed as a sequence of the digits 1 and 0.") | ||
| 1520 | 1528 | ||||
| 1521 | (subclass ComplexNumber Number) | 1529 | (subclass ComplexNumber Number) | ||
| 1522 | (disjoint ComplexNumber RealNumber) | 1530 | (disjoint ComplexNumber RealNumber) | ||
| 1523 | (documentation ComplexNumber "A &%Number that has the form: x + yi, where x | 1531 | (documentation ComplexNumber "A &%Number that has the form: x + yi, where x | ||
| 1524 | and y are &%RealNumbers and i is the square root of -1.") | 1532 | and y are &%RealNumbers and i is the square root of -1.") | ||
| 1525 | 1533 | ||||
| 1526 | (=> | 1534 | (=> | ||
| 1527 | (instance ?NUMBER ComplexNumber) | 1535 | (instance ?NUMBER ComplexNumber) | ||
| 1528 | (exists (?REAL1 ?REAL2) | 1536 | (exists (?REAL1 ?REAL2) | ||
| 1529 | (and | 1537 | (and | ||
| 1530 | (instance ?REAL1 RealNumber) | 1538 | (instance ?REAL1 RealNumber) | ||
| 1531 | (instance ?REAL2 RealNumber) | 1539 | (instance ?REAL2 RealNumber) | ||
| 1532 | (equal ?NUMBER (AdditionFn ?REAL1 (MultiplicationFn ?REAL2 (SquareRootFn -1))))))) | 1540 | (equal ?NUMBER (AdditionFn ?REAL1 (MultiplicationFn ?REAL2 (SquareRootFn -1))))))) | ||
| 1533 | 1541 | ||||
| 1534 | (subclass PhysicalQuantity Quantity) | 1542 | (subclass PhysicalQuantity Quantity) | ||
| 1535 | (partition PhysicalQuantity ConstantQuantity FunctionQuantity) | 1543 | (partition PhysicalQuantity ConstantQuantity FunctionQuantity) | ||
| 1536 | (documentation PhysicalQuantity "&%A PhysicalQuantity is a measure of | 1544 | (documentation PhysicalQuantity "&%A PhysicalQuantity is a measure of | ||
| 1537 | some quantifiable aspect of the modeled world, such as 'the earth's | 1545 | some quantifiable aspect of the modeled world, such as 'the earth's | ||
| 1538 | diameter' (a constant length) and 'the stress in a loaded deformable | 1546 | diameter' (a constant length) and 'the stress in a loaded deformable | ||
| 1539 | solid' (a measure of stress, which is a function of three spatial | 1547 | solid' (a measure of stress, which is a function of three spatial | ||
| 1540 | coordinates). All &%PhysicalQuantities are either &%ConstantQuantities | 1548 | coordinates). All &%PhysicalQuantities are either &%ConstantQuantities | ||
| 1541 | or &%FunctionQuantities. Instances of &%ConstantQuantity are dependent | 1549 | or &%FunctionQuantities. Instances of &%ConstantQuantity are dependent | ||
| 1542 | on a &%UnitOfMeasure, while instances of &%FunctionQuantity are | 1550 | on a &%UnitOfMeasure, while instances of &%FunctionQuantity are | ||
| 1543 | &%Functions that map instances of &%ConstantQuantity to other instances | 1551 | &%Functions that map instances of &%ConstantQuantity to other instances | ||
| 1544 | of &%ConstantQuantity (e.g., &%TimeDependentQuantities are | 1552 | of &%ConstantQuantity (e.g., &%TimeDependentQuantities are | ||
| 1545 | &%FunctionQuantities). Although the name and definition of | 1553 | &%FunctionQuantities). Although the name and definition of | ||
| 1546 | &%PhysicalQuantity is borrowed from physics, &%PhysicalQuantities need | 1554 | &%PhysicalQuantity is borrowed from physics, &%PhysicalQuantities need | ||
| 1547 | not be material. Aside from the dimensions of length, time, velocity, | 1555 | not be material. Aside from the dimensions of length, time, velocity, | ||
| 1548 | etc., nonphysical dimensions such as currency are also possible. | 1556 | etc., nonphysical dimensions such as currency are also possible. | ||
| 1549 | Accordingly, amounts of money would be instances of &%PhysicalQuantity. | 1557 | Accordingly, amounts of money would be instances of &%PhysicalQuantity. | ||
| 1550 | &%PhysicalQuantities are distinguished from &%Numbers by the fact that | 1558 | &%PhysicalQuantities are distinguished from &%Numbers by the fact that | ||
| 1551 | the former are associated with a dimension of measurement.") | 1559 | the former are associated with a dimension of measurement.") | ||
| 1552 | 1560 | ||||
| 1553 | (subclass ConstantQuantity PhysicalQuantity) | 1561 | (subclass ConstantQuantity PhysicalQuantity) | ||
| 1554 | (documentation ConstantQuantity "A &%ConstantQuantity is a | 1562 | (documentation ConstantQuantity "A &%ConstantQuantity is a | ||
| 1555 | &%PhysicalQuantity which has a constant value, e.g. 3 meters and 5 hours. | 1563 | &%PhysicalQuantity which has a constant value, e.g. 3 meters and 5 hours. | ||
| 1556 | The magnitude (see &%MagnitudeFn) of every &%ConstantQuantity is a | 1564 | The magnitude (see &%MagnitudeFn) of every &%ConstantQuantity is a | ||
| 1557 | &%RealNumber. &%ConstantQuantities are distinguished from | 1565 | &%RealNumber. &%ConstantQuantities are distinguished from | ||
| 1558 | &%FunctionQuantities, which map &%ConstantQuantities to other | 1566 | &%FunctionQuantities, which map &%ConstantQuantities to other | ||
| 1559 | &%ConstantQuantities. All &%ConstantQuantites are expressed with the | 1567 | &%ConstantQuantities. All &%ConstantQuantites are expressed with the | ||
| 1560 | &%BinaryFunction &%MeasureFn, which takes a &%Number and a &%UnitOfMeasure | 1568 | &%BinaryFunction &%MeasureFn, which takes a &%Number and a &%UnitOfMeasure | ||
| 1561 | as arguments. For example, 3 &%Meters can be expressed as (&%MeasureFn 3 | 1569 | as arguments. For example, 3 &%Meters can be expressed as (&%MeasureFn 3 | ||
| 1562 | &%Meter). &%ConstantQuantities form a partial order (see | 1570 | &%Meter). &%ConstantQuantities form a partial order (see | ||
| 1563 | &%PartialOrderingRelation) with the &%lessThan relation, since &%lessThan | 1571 | &%PartialOrderingRelation) with the &%lessThan relation, since &%lessThan | ||
| 1564 | is a &%RelationExtendedToQuantities and &%lessThan is defined over the | 1572 | is a &%RelationExtendedToQuantities and &%lessThan is defined over the | ||
| 1565 | &%RealNumbers. The &%lessThan relation is not a total order (see | 1573 | &%RealNumbers. The &%lessThan relation is not a total order (see | ||
| 1566 | &%TotalOrderingRelation) over the class &%ConstantQuantity since elements | 1574 | &%TotalOrderingRelation) over the class &%ConstantQuantity since elements | ||
| 1567 | of some subclasses of &%ConstantQuantity (such as length quantities) | 1575 | of some subclasses of &%ConstantQuantity (such as length quantities) | ||
| 1568 | are incomparable to elements of other subclasses of &%ConstantQuantity | 1576 | are incomparable to elements of other subclasses of &%ConstantQuantity | ||
| 1569 | (such as mass quantities).") | 1577 | (such as mass quantities).") | ||
| 1570 | 1578 | ||||
| 1571 | (subclass TimeMeasure ConstantQuantity) | 1579 | (subclass TimeMeasure ConstantQuantity) | ||
| 1572 | (documentation TimeMeasure "The class of temporal durations (instances | 1580 | (documentation TimeMeasure "The class of temporal durations (instances | ||
| 1573 | of &%TimeDuration) and positions of &%TimePoints and &%TimeIntervals along | 1581 | of &%TimeDuration) and positions of &%TimePoints and &%TimeIntervals along | ||
| 1574 | the universal timeline (instances of &%TimePosition).") | 1582 | the universal timeline (instances of &%TimePosition).") | ||
| 1575 | 1583 | ||||
| 1576 | (subclass TimeDuration TimeMeasure) | 1584 | (subclass TimeDuration TimeMeasure) | ||
| 1577 | (documentation TimeDuration "Any measure of length of time, | 1585 | (documentation TimeDuration "Any measure of length of time, | ||
| 1578 | with or without respect to the universal timeline.") | 1586 | with or without respect to the universal timeline.") | ||
| 1579 | 1587 | ||||
| 1580 | (subclass TimePosition TimeMeasure) | 1588 | (subclass TimePosition TimeMeasure) | ||
| 1581 | (partition TimePosition TimeInterval TimePoint) | 1589 | (partition TimePosition TimeInterval TimePoint) | ||
| 1582 | (documentation TimePosition "Any &%TimePoint or &%TimeInterval | 1590 | (documentation TimePosition "Any &%TimePoint or &%TimeInterval | ||
| 1583 | along the universal timeline from &%NegativeInfinity to | 1591 | along the universal timeline from &%NegativeInfinity to | ||
| 1584 | &%PositiveInfinity.") | 1592 | &%PositiveInfinity.") | ||
| 1585 | 1593 | ||||
| 1586 | (subclass TimeInterval TimePosition) | 1594 | (subclass TimeInterval TimePosition) | ||
| 1587 | (documentation TimeInterval "An interval of time. Note that a | 1595 | (documentation TimeInterval "An interval of time. Note that a | ||
| 1588 | &%TimeInterval has both an extent and a location on the universal | 1596 | &%TimeInterval has both an extent and a location on the universal | ||
| 1589 | timeline. Note too that a &%TimeInterval has no gaps, i.e. this | 1597 | timeline. Note too that a &%TimeInterval has no gaps, i.e. this | ||
| 1590 | class contains only convex time intervals.") | 1598 | class contains only convex time intervals.") | ||
| 1591 | 1599 | ||||
| 1592 | (subclass TimePoint TimePosition) | 1600 | (subclass TimePoint TimePosition) | ||
| 1593 | (documentation TimePoint "An extensionless point on the universal timeline. | 1601 | (documentation TimePoint "An extensionless point on the universal timeline. | ||
| 1594 | The &%TimePoints at which &%Processes occur can be known with various | 1602 | The &%TimePoints at which &%Processes occur can be known with various | ||
| 1595 | degrees of precision and approximation, but conceptually &%TimePoints are | 1603 | degrees of precision and approximation, but conceptually &%TimePoints are | ||
| 1596 | point-like and not interval-like. That is, it doesn't make sense to talk | 1604 | point-like and not interval-like. That is, it doesn't make sense to talk | ||
| 1597 | about how long a &%TimePoint lasts.") | 1605 | about how long a &%TimePoint lasts.") | ||
| 1598 | 1606 | ||||
| 1599 | (subclass FunctionQuantity PhysicalQuantity) | 1607 | (subclass FunctionQuantity PhysicalQuantity) | ||
| 1600 | (subclass FunctionQuantity Function) | 1608 | (subclass FunctionQuantity Function) | ||
| 1601 | (documentation FunctionQuantity "A &%FunctionQuantity is a &%Function that | 1609 | (documentation FunctionQuantity "A &%FunctionQuantity is a &%Function that | ||
| 1602 | maps from one or more instances of &%ConstantQuantity to another instance | 1610 | maps from one or more instances of &%ConstantQuantity to another instance | ||
| 1603 | of &%ConstantQuantity. For example, the velocity of a particle would be | 1611 | of &%ConstantQuantity. For example, the velocity of a particle would be | ||
| 1604 | represented by a &%FunctionQuantity mapping values of time (which are | 1612 | represented by a &%FunctionQuantity mapping values of time (which are | ||
| 1605 | &%ConstantQuantities) to values of distance (also &%ConstantQuantities). | 1613 | &%ConstantQuantities) to values of distance (also &%ConstantQuantities). | ||
| 1606 | Note that all instances of &%FunctionQuantity are &%Functions with a fixed | 1614 | Note that all instances of &%FunctionQuantity are &%Functions with a fixed | ||
| 1607 | arity. Note too that all elements of the range of a &%FunctionQuantity | 1615 | arity. Note too that all elements of the range of a &%FunctionQuantity | ||
| 1608 | have the same physical dimension as the &%FunctionQuantity itself.") | 1616 | have the same physical dimension as the &%FunctionQuantity itself.") | ||
| 1609 | 1617 | ||||
| 1610 | (subclass UnaryConstantFunctionQuantity FunctionQuantity) | 1618 | (subclass UnaryConstantFunctionQuantity FunctionQuantity) | ||
| 1611 | (subclass UnaryConstantFunctionQuantity UnaryFunction) | 1619 | (subclass UnaryConstantFunctionQuantity UnaryFunction) | ||
| 1612 | (documentation UnaryConstantFunctionQuantity "The class of &%UnaryFunctions | 1620 | (documentation UnaryConstantFunctionQuantity "The class of &%UnaryFunctions | ||
| 1613 | that map from the &%Class &%ConstantQuantity to the &%Class | 1621 | that map from the &%Class &%ConstantQuantity to the &%Class | ||
| 1614 | &%ConstantQuantity.") | 1622 | &%ConstantQuantity.") | ||
| 1615 | 1623 | ||||
| 1616 | (=> | 1624 | (=> | ||
| 1617 | (instance ?FUNCTION UnaryConstantFunctionQuantity) | 1625 | (instance ?FUNCTION UnaryConstantFunctionQuantity) | ||
| 1618 | (and | 1626 | (and | ||
| 1619 | (domain ?FUNCTION 1 ConstantQuantity) | 1627 | (domain ?FUNCTION 1 ConstantQuantity) | ||
| 1620 | (range ?FUNCTION ConstantQuantity))) | 1628 | (range ?FUNCTION ConstantQuantity))) | ||
| 1621 | 1629 | ||||
| 1622 | (subclass TimeDependentQuantity UnaryConstantFunctionQuantity) | 1630 | (subclass TimeDependentQuantity UnaryConstantFunctionQuantity) | ||
| 1623 | (subclass TimeDependentQuantity ContinuousFunction) | 1631 | (subclass TimeDependentQuantity ContinuousFunction) | ||
| 1624 | (documentation TimeDependentQuantity "A &%UnaryConstantFunction of continuous | 1632 | (documentation TimeDependentQuantity "A &%UnaryConstantFunction of continuous | ||
| 1625 | time. All instances of this &%Class map a time quantity into another | 1633 | time. All instances of this &%Class map a time quantity into another | ||
| 1626 | &%ConstantQuantity such as temperature. For example, 'the temperature at | 1634 | &%ConstantQuantity such as temperature. For example, 'the temperature at | ||
| 1627 | the top of the Empire State Building' is a &%TimeDependentQuantity since | 1635 | the top of the Empire State Building' is a &%TimeDependentQuantity since | ||
| 1628 | its value depends on the time.") | 1636 | its value depends on the time.") | ||
| 1629 | 1637 | ||||
| 1630 | (=> | 1638 | (=> | ||
| 1631 | (instance ?FUNCTION TimeDependentQuantity) | 1639 | (instance ?FUNCTION TimeDependentQuantity) | ||
| 1632 | (domain ?FUNCTION 1 TimeMeasure)) | 1640 | (domain ?FUNCTION 1 TimeMeasure)) | ||
| 1633 | 1641 | ||||
| 1634 | (subclass SetOrClass Abstract) | 1642 | (subclass SetOrClass Abstract) | ||
| 1635 | (partition SetOrClass Set Class) | 1643 | (partition SetOrClass Set Class) | ||
| 1636 | (documentation SetOrClass "The &%SetOrClass of &%Sets and &%Classes, i.e. any instance | 1644 | (documentation SetOrClass "The &%SetOrClass of &%Sets and &%Classes, i.e. any instance | ||
| 1637 | of &%Abstract that has &%elements or &%instances.") | 1645 | of &%Abstract that has &%elements or &%instances.") | ||
| 1638 | 1646 | ||||
| 1639 | (subclass Class SetOrClass) | 1647 | (subclass Class SetOrClass) | ||
| 1640 | (documentation Class "&%Classes differ from &%Sets in two important respects. | 3c) | 1648 | (documentation Class "&%Classes differ from &%Sets in three important respects. | |
| 1641 | First, &%Classes are not assumed to be extensional. That is, distinct | 1649 | First, &%Classes are not assumed to be extensional. That is, distinct | ||
| 1642 | &%Classes might well have exactly the same instances. Second, &%Classes typically | 1650 | &%Classes might well have exactly the same instances. Second, &%Classes typically | ||
| 1643 | have an associated `condition' that determines the instances of the &%Class. So, | 1651 | have an associated `condition' that determines the instances of the &%Class. So, | ||
| 1644 | for example, the condition `human' determines the &%Class of &%Humans. Note that | 1652 | for example, the condition `human' determines the &%Class of &%Humans. Note that | ||
| 1645 | some &%Classes might satisfy their own condition (e.g., the &%Class of &%Abstract | 1653 | some &%Classes might satisfy their own condition (e.g., the &%Class of &%Abstract | ||
| 1646 | things is &%Abstract) and hence be instances of themselves.") | 1654 | things is &%Abstract) and hence be instances of themselves. Third, the instances | ||
| 3c) | 1655 | of a class may occur only once within the class, i.e. a class cannot contain | |||
| 1656 | duplicate instances.") | ||||
| 1647 | 1657 | ||||
| 1648 | (subclass Set SetOrClass) | 1658 | (subclass Set SetOrClass) | ||
| 1649 | (documentation Set "A &%SetOrClass that satisfies extensionality as well as | 1659 | (documentation Set "A &%SetOrClass that satisfies extensionality as well as | ||
| 1650 | other constraints specified by some choice of set theory. &%Sets differ | 1660 | other constraints specified by some choice of set theory. &%Sets differ | ||
| 1651 | from &%Classes in two important respects. First, &%Sets are extensional - | 1661 | from &%Classes in two important respects. First, &%Sets are extensional - | ||
| 1652 | two &%Sets with the same &%elements are identical. Second, a &%Set can be | 1662 | two &%Sets with the same &%elements are identical. Second, a &%Set can be | ||
| 1653 | an arbitrary stock of objects. That is, there is no requirement that &%Sets | 1663 | an arbitrary stock of objects. That is, there is no requirement that &%Sets | ||
| 1654 | have an associated condition that determines their membership. Note that &%Sets | 1664 | have an associated condition that determines their membership. Note that &%Sets | ||
| 1655 | are not assumed to be unique sets, i.e. &%elements of a &%Set may occur more | 1665 | are not assumed to be unique sets, i.e. &%elements of a &%Set may occur more | ||
| 1656 | than once in the &%Set.") | 1666 | than once in the &%Set.") | ||
| 1657 | 1667 | ||||
| 1658 | (subclass Relation Abstract) | 1668 | (subclass Relation Abstract) | ||
| 1659 | (disjointDecomposition Relation BinaryRelation TernaryRelation QuaternaryRelation QuintaryRelation VariableArityRelation) | 1669 | (disjointDecomposition Relation BinaryRelation TernaryRelation QuaternaryRelation QuintaryRelation VariableArityRelation) | ||
| 1660 | (partition Relation Predicate Function List) | 1670 | (partition Relation Predicate Function List) | ||
| 1661 | (partition Relation TotalValuedRelation PartialValuedRelation) | 1671 | (partition Relation TotalValuedRelation PartialValuedRelation) | ||
| 1662 | (documentation Relation "The &%Class of relations. There are three kinds | 1672 | (documentation Relation "The &%Class of relations. There are three kinds | ||
| 1663 | of &%Relation: &%Predicate, &%Function, and &%List. &%Predicates and | 1673 | of &%Relation: &%Predicate, &%Function, and &%List. &%Predicates and | ||
| 1664 | &%Functions both denote sets of ordered n-tuples. The difference between | 1674 | &%Functions both denote sets of ordered n-tuples. The difference between | ||
| 1665 | these two &%Classes is that &%Predicates cover formula-forming operators, while | 1675 | these two &%Classes is that &%Predicates cover formula-forming operators, while | ||
| 1666 | &%Functions cover term-forming operators. A &%List, on the other hand, is a | 1676 | &%Functions cover term-forming operators. A &%List, on the other hand, is a | ||
| 1667 | particular ordered n-tuple.") | 1677 | particular ordered n-tuple.") | ||
| 1668 | 1678 | ||||
| 1669 | (=> | 1679 | (=> | ||
| 1670 | (instance ?REL Relation) | 1680 | (instance ?REL Relation) | ||
| 1671 | (<=> | 1681 | (<=> | ||
| 1672 | (holds ?REL @ROW) | 1682 | (holds ?REL @ROW) | ||
| 1673 | (?REL @ROW))) | 1683 | (?REL @ROW))) | ||
| 1674 | 1684 | ||||
| 1675 | ;; The following part of the ontology covers the various classes under | 1685 | ;; The following part of the ontology covers the various classes under | ||
| 1676 | ;; 'Relation'. Most of the content here is taken from frame-ontology, | 1686 | ;; 'Relation'. Most of the content here is taken from frame-ontology, | ||
| 1677 | ;; abstract-algebra, kif-relations, and kif-extensions (ontologies | 1687 | ;; abstract-algebra, kif-relations, and kif-extensions (ontologies | ||
| 1678 | ;; available on the Ontolingua server). | 1688 | ;; available on the Ontolingua server). | ||
| 1679 | 1689 | ||||
| 1680 | (subclass SingleValuedRelation Relation) | 1690 | (subclass SingleValuedRelation Relation) | ||
| 1681 | (instance SingleValuedRelation InheritableRelation) | 1691 | (instance SingleValuedRelation InheritableRelation) | ||
| 1682 | (documentation SingleValuedRelation "A &%Relation is a &%SingleValuedRelation | 1692 | (documentation SingleValuedRelation "A &%Relation is a &%SingleValuedRelation | ||
| 1683 | just in case an assignment of values to every argument position except the last | 1693 | just in case an assignment of values to every argument position except the last | ||
| 1684 | one determines at most one assignment for the last argument position. Note | 1694 | one determines at most one assignment for the last argument position. Note | ||
| 1685 | that not all &%SingleValuedRelations are &%TotalValuedRelations.") | 1695 | that not all &%SingleValuedRelations are &%TotalValuedRelations.") | ||
| 1686 | 1696 | ||||
| 1687 | (=> | 1697 | (=> | ||
| 1688 | (instance ?REL SingleValuedRelation) | 1698 | (instance ?REL SingleValuedRelation) | ||
| 1689 | (forall (@ROW ?ITEM1 ?ITEM2) | 1699 | (forall (@ROW ?ITEM1 ?ITEM2) | ||
| 1690 | (=> | 1700 | (=> | ||
| 1691 | (and | 1701 | (and | ||
| 1692 | (holds ?REL @ROW ?ITEM1) | 1702 | (holds ?REL @ROW ?ITEM1) | ||
| 1693 | (holds ?REL @ROW ?ITEM2)) | 1703 | (holds ?REL @ROW ?ITEM2)) | ||
| 1694 | (equal ?ITEM1 ?ITEM2)))) | 1704 | (equal ?ITEM1 ?ITEM2)))) | ||
| 1695 | 1705 | ||||
| 1696 | (subclass TotalValuedRelation Relation) | 1706 | (subclass TotalValuedRelation Relation) | ||
| 1697 | (documentation TotalValuedRelation "A &%Relation is a &%TotalValuedRelation | 1707 | (documentation TotalValuedRelation "A &%Relation is a &%TotalValuedRelation | ||
| 1698 | just in case there exists an assignment for the last argument position of the | 1708 | just in case there exists an assignment for the last argument position of the | ||
| 1699 | &%Relation given any assignment of values to every argument position except | 1709 | &%Relation given any assignment of values to every argument position except | ||
| 1700 | the last one. Note that declaring a &%Relation to be both a &%TotalValuedRelation | 1710 | the last one. Note that declaring a &%Relation to be both a &%TotalValuedRelation | ||
| 1701 | and a &%SingleValuedRelation means that it is a total function.") | 1711 | and a &%SingleValuedRelation means that it is a total function.") | ||
| 1702 | 1712 | ||||
| 1703 | (<=> | 1713 | (<=> | ||
| 1704 | (instance ?REL TotalValuedRelation) | 1714 | (instance ?REL TotalValuedRelation) | ||
| 1705 | (exists (?VALENCE) | 1715 | (exists (?VALENCE) | ||
| 1706 | (and | 1716 | (and | ||
| 1707 | (instance ?REL Relation) | 1717 | (instance ?REL Relation) | ||
| 1708 | (valence ?REL ?VALENCE) | 1718 | (valence ?REL ?VALENCE) | ||
| 1709 | (=> | 1719 | (=> | ||
| 1710 | (forall (?NUMBER ?ELEMENT ?CLASS) | 1720 | (forall (?NUMBER ?ELEMENT ?CLASS) | ||
| 1711 | (=> | 1721 | (=> | ||
| 1712 | (and | 1722 | (and | ||
| 1713 | (lessThan ?NUMBER ?VALENCE) | 1723 | (lessThan ?NUMBER ?VALENCE) | ||
| 1714 | (domain ?REL ?NUMBER ?CLASS) | 1724 | (domain ?REL ?NUMBER ?CLASS) | ||
| 1715 | (equal ?ELEMENT (ListOrderFn (ListFn @ROW) ?NUMBER))) | 1725 | (equal ?ELEMENT (ListOrderFn (ListFn @ROW) ?NUMBER))) | ||
| 1716 | (instance ?ELEMENT ?CLASS))) | 1726 | (instance ?ELEMENT ?CLASS))) | ||
| 1717 | (exists (?ITEM) | 1727 | (exists (?ITEM) | ||
| 1718 | (holds ?REL @ROW ?ITEM)))))) | 1728 | (holds ?REL @ROW ?ITEM)))))) | ||
| 1719 | 1729 | ||||
| 1720 | (subclass PartialValuedRelation Relation) | 1730 | (subclass PartialValuedRelation Relation) | ||
| 1721 | (documentation PartialValuedRelation "A &%Relation is a &%PartialValuedRelation | 1731 | (documentation PartialValuedRelation "A &%Relation is a &%PartialValuedRelation | ||
| 1722 | just in case it is not a &%TotalValuedRelation, i.e. just in case assigning values | 1732 | just in case it is not a &%TotalValuedRelation, i.e. just in case assigning values | ||
| 1723 | to every argument position except the last one does not necessarily mean that there | 1733 | to every argument position except the last one does not necessarily mean that there | ||
| 1724 | is a value assignment for the last argument position. Note that, if a &%Relation | 1734 | is a value assignment for the last argument position. Note that, if a &%Relation | ||
| 1725 | is both a &%PartialValuedRelation and a &%SingleValuedRelation, then it is a partial | 1735 | is both a &%PartialValuedRelation and a &%SingleValuedRelation, then it is a partial | ||
| 1726 | function.") | 1736 | function.") | ||
| 1727 | 1737 | ||||
| 1728 | (subclass BinaryRelation Relation) | 1738 | (subclass BinaryRelation Relation) | ||
| 1729 | (instance BinaryRelation InheritableRelation) | 1739 | (instance BinaryRelation InheritableRelation) | ||
| 1730 | (documentation BinaryRelation "&%BinaryRelations are relations that are | 1740 | (documentation BinaryRelation "&%BinaryRelations are relations that are | ||
| 1731 | true only of pairs of things. &%BinaryRelations are represented as slots | 1741 | true only of pairs of things. &%BinaryRelations are represented as slots | ||
| 1732 | in frame systems.") | 1742 | in frame systems.") | ||
| 1733 | 1743 | ||||
| 1734 | (=> | 1744 | (=> | ||
| 1735 | (instance ?REL BinaryRelation) | 1745 | (instance ?REL BinaryRelation) | ||
| 1736 | (not | 1746 | (not | ||
| 1737 | (exists (?ITEM1 ?ITEM2 ?ITEM3 @ROW) | 1747 | (exists (?ITEM1 ?ITEM2 ?ITEM3 @ROW) | ||
| 1738 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 @ROW)))) | 1748 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 @ROW)))) | ||
| 1739 | 1749 | ||||
| 1740 | (subclass ReflexiveRelation BinaryRelation) | 1750 | (subclass ReflexiveRelation BinaryRelation) | ||
| 1741 | (documentation ReflexiveRelation "&%Relation ?REL is reflexive if | 1751 | (documentation ReflexiveRelation "&%Relation ?REL is reflexive if | ||
| 1742 | (?REL ?INST ?INST) for all ?INST.") | 1752 | (?REL ?INST ?INST) for all ?INST.") | ||
| 1743 | 1753 | ||||
| 1744 | (=> | 1754 | (=> | ||
| 1745 | (instance ?REL ReflexiveRelation) | 1755 | (instance ?REL ReflexiveRelation) | ||
| 1746 | (=> | 1756 | (=> | ||
| 1747 | (or | 1757 | (or | ||
| 1748 | (holds ?REL ?INST1 ?INST2) | 1758 | (holds ?REL ?INST1 ?INST2) | ||
| 1749 | (holds ?REL ?INST2 ?INST1)) | 1759 | (holds ?REL ?INST2 ?INST1)) | ||
| 1750 | (holds ?REL ?INST1 ?INST1))) | 1760 | (holds ?REL ?INST1 ?INST1))) | ||
| 1751 | 1761 | ||||
| 1752 | (subclass IrreflexiveRelation BinaryRelation) | 1762 | (subclass IrreflexiveRelation BinaryRelation) | ||
| 1753 | (documentation IrreflexiveRelation "&%Relation ?REL is irreflexive | 1763 | (documentation IrreflexiveRelation "&%Relation ?REL is irreflexive | ||
| 1754 | if (?REL ?INST ?INST) holds for no value of ?INST.") | 1764 | if (?REL ?INST ?INST) holds for no value of ?INST.") | ||
| 1755 | 1765 | ||||
| 1756 | (=> | 1766 | (=> | ||
| 1757 | (instance ?REL IrreflexiveRelation) | 1767 | (instance ?REL IrreflexiveRelation) | ||
| 1758 | (forall (?INST) | 1768 | (forall (?INST) | ||
| 1759 | (not | 1769 | (not | ||
| 1760 | (holds ?REL ?INST ?INST)))) | 1770 | (holds ?REL ?INST ?INST)))) | ||
| 1761 | 1771 | ||||
| 1762 | (subclass SymmetricRelation BinaryRelation) | 1772 | (subclass SymmetricRelation BinaryRelation) | ||
| 1763 | (documentation SymmetricRelation "A &%BinaryRelation ?REL is | 1773 | (documentation SymmetricRelation "A &%BinaryRelation ?REL is | ||
| 1764 | symmetric just in case (?REL ?INST1 ?INST2) imples (?REL | 1774 | symmetric just in case (?REL ?INST1 ?INST2) imples (?REL | ||
| 1765 | ?INST2 ?INST1), for all ?INST1 and ?INST2.") | 1775 | ?INST2 ?INST1), for all ?INST1 and ?INST2.") | ||
| 1766 | 1776 | ||||
| 1767 | 1777 | ||||
| 1768 | (=> | 1778 | (=> | ||
| 1769 | (instance ?REL SymmetricRelation) | 1779 | (instance ?REL SymmetricRelation) | ||
| 1770 | (forall (?INST1 ?INST2) | 1780 | (forall (?INST1 ?INST2) | ||
| 1771 | (=> | 1781 | (=> | ||
| 1772 | (holds ?REL ?INST1 ?INST2) | 1782 | (holds ?REL ?INST1 ?INST2) | ||
| 1773 | (holds ?REL ?INST2 ?INST1)))) | 1783 | (holds ?REL ?INST2 ?INST1)))) | ||
| 1774 | 1784 | ||||
| 1775 | (subclass AsymmetricRelation IrreflexiveRelation) | 1785 | (subclass AsymmetricRelation IrreflexiveRelation) | ||
| 1776 | (subclass AsymmetricRelation AntisymmetricRelation) | 1786 | (subclass AsymmetricRelation AntisymmetricRelation) | ||
| 1777 | (documentation AsymmetricRelation "A &%BinaryRelation is asymmetric only | 1787 | (documentation AsymmetricRelation "A &%BinaryRelation is asymmetric only | ||
| 1778 | if it is both an &%AntisymmetricRelation and an &%IrreflexiveRelation.") | 1788 | if it is both an &%AntisymmetricRelation and an &%IrreflexiveRelation.") | ||
| 1779 | 1789 | ||||
| 1780 | (=> | 1790 | (=> | ||
| 1781 | (and | 1791 | (and | ||
| 1782 | (instance ?REL BinaryRelation) | 1792 | (instance ?REL BinaryRelation) | ||
| 1783 | (or | 1793 | (or | ||
| 1784 | (domain ?REL 1 ?CLASS1) | 1794 | (domain ?REL 1 ?CLASS1) | ||
| 1785 | (domainSubclass ?REL 1 ?CLASS1)) | 1795 | (domainSubclass ?REL 1 ?CLASS1)) | ||
| 1786 | (or | 1796 | (or | ||
| 1787 | (domain ?REL 2 ?CLASS2) | 1797 | (domain ?REL 2 ?CLASS2) | ||
| 1788 | (domainSubclass ?REL 2 ?CLASS2) | 1798 | (domainSubclass ?REL 2 ?CLASS2) | ||
| 1789 | (range ?REL ?CLASS2) | 1799 | (range ?REL ?CLASS2) | ||
| 1790 | (rangeSubclass ?REL ?CLASS2)) | 1800 | (rangeSubclass ?REL ?CLASS2)) | ||
| 1791 | (disjoint ?CLASS1 ?CLASS2)) | 1801 | (disjoint ?CLASS1 ?CLASS2)) | ||
| 1792 | (instance ?REL AsymmetricRelation)) | 1802 | (instance ?REL AsymmetricRelation)) | ||
| 1793 | 1803 | ||||
| 1794 | (subclass AntisymmetricRelation BinaryRelation) | 1804 | (subclass AntisymmetricRelation BinaryRelation) | ||
| 1795 | (documentation AntisymmetricRelation "&%BinaryRelation ?REL is an | 1805 | (documentation AntisymmetricRelation "&%BinaryRelation ?REL is an | ||
| 1796 | &%AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1 | 1806 | &%AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1 | ||
| 1797 | ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 | 1807 | ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 | ||
| 1798 | and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 | 1808 | and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 | ||
| 1799 | and ?INST2 are identical. Note that it is possible for an | 1809 | and ?INST2 are identical. Note that it is possible for an | ||
| 1800 | &%AntisymmetricRelation to be a &%ReflexiveRelation.") | 1810 | &%AntisymmetricRelation to be a &%ReflexiveRelation.") | ||
| 1801 | 1811 | ||||
| 1802 | (=> | 1812 | (=> | ||
| 1803 | (instance ?REL AntisymmetricRelation) | 1813 | (instance ?REL AntisymmetricRelation) | ||
| 1804 | (forall (?INST1 ?INST2) | 1814 | (forall (?INST1 ?INST2) | ||
| 1805 | (=> | 1815 | (=> | ||
| 1806 | (and | 1816 | (and | ||
| 1807 | (holds ?REL ?INST1 ?INST2) | 1817 | (holds ?REL ?INST1 ?INST2) | ||
| 1808 | (holds ?REL ?INST2 ?INST1)) | 1818 | (holds ?REL ?INST2 ?INST1)) | ||
| 1809 | (equal ?INST1 ?INST2)))) | 1819 | (equal ?INST1 ?INST2)))) | ||
| 1810 | 1820 | ||||
| 1811 | (subclass TrichotomizingRelation BinaryRelation) | 1821 | (subclass TrichotomizingRelation BinaryRelation) | ||
| 1812 | (documentation TrichotomizingRelation "A &%BinaryRelation ?REL is a | 1822 | (documentation TrichotomizingRelation "A &%BinaryRelation ?REL is a | ||
| 1813 | &%TrichotomizingRelation just in case all ordered pairs consisting of | 1823 | &%TrichotomizingRelation just in case all ordered pairs consisting of | ||
| 1814 | distinct individuals are elements of ?REL.") | 1824 | distinct individuals are elements of ?REL.") | ||
| 1815 | 1825 | ||||
| 1816 | (=> | 1826 | (=> | ||
| 1817 | (instance ?REL TrichotomizingRelation) | 1827 | (instance ?REL TrichotomizingRelation) | ||
| 1818 | (forall (?INST1 ?INST2) | 1828 | (forall (?INST1 ?INST2) | ||
| 1819 | (or | 1829 | (or | ||
| 1820 | (holds ?REL ?INST1 ?INST2) | 1830 | (holds ?REL ?INST1 ?INST2) | ||
| 1821 | (equal ?INST1 ?INST2) | 1831 | (equal ?INST1 ?INST2) | ||
| 1822 | (holds ?REL ?INST2 ?INST1)))) | 1832 | (holds ?REL ?INST2 ?INST1)))) | ||
| 1823 | 1833 | ||||
| 1824 | (subclass TransitiveRelation BinaryRelation) | 1834 | (subclass TransitiveRelation BinaryRelation) | ||
| 1825 | (documentation TransitiveRelation "A &%BinaryRelation ?REL is transitive | 1835 | (documentation TransitiveRelation "A &%BinaryRelation ?REL is transitive | ||
| 1826 | if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), | 1836 | if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), | ||
| 1827 | for all ?INST1, ?INST2, and ?INST3.") | 1837 | for all ?INST1, ?INST2, and ?INST3.") | ||
| 1828 | 1838 | ||||
| 1829 | (=> | 1839 | (=> | ||
| 1830 | (instance ?REL TransitiveRelation) | 1840 | (instance ?REL TransitiveRelation) | ||
| 1831 | (forall (?INST1 ?INST2 ?INST3) | 1841 | (forall (?INST1 ?INST2 ?INST3) | ||
| 1832 | (=> | 1842 | (=> | ||
| 1833 | (and | 1843 | (and | ||
| 1834 | (holds ?REL ?INST1 ?INST2) | 1844 | (holds ?REL ?INST1 ?INST2) | ||
| 1835 | (holds ?REL ?INST2 ?INST3)) | 1845 | (holds ?REL ?INST2 ?INST3)) | ||
| 1836 | (holds ?REL ?INST1 ?INST3)))) | 1846 | (holds ?REL ?INST1 ?INST3)))) | ||
| 1837 | 1847 | ||||
| 1838 | (subclass IntransitiveRelation BinaryRelation) | 1848 | (subclass IntransitiveRelation BinaryRelation) | ||
| 1839 | (documentation IntransitiveRelation "A &%BinaryRelation ?REL is | 1849 | (documentation IntransitiveRelation "A &%BinaryRelation ?REL is | ||
| 1840 | intransitive only if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply not | 1850 | intransitive only if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply not | ||
| 1841 | (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.") | 1851 | (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.") | ||
| 1842 | 1852 | ||||
| 1843 | (=> | 1853 | (=> | ||
| 1844 | (instance ?REL IntransitiveRelation) | 1854 | (instance ?REL IntransitiveRelation) | ||
| 1845 | (forall (?INST1 ?INST2 ?INST3) | 1855 | (forall (?INST1 ?INST2 ?INST3) | ||
| 1846 | (=> | 1856 | (=> | ||
| 1847 | (and | 1857 | (and | ||
| 1848 | (holds ?REL ?INST1 ?INST2) | 1858 | (holds ?REL ?INST1 ?INST2) | ||
| 1849 | (holds ?REL ?INST2 ?INST3)) | 1859 | (holds ?REL ?INST2 ?INST3)) | ||
| 1850 | (not | 1860 | (not | ||
| 1851 | (holds ?REL ?INST1 ?INST3))))) | 1861 | (holds ?REL ?INST1 ?INST3))))) | ||
| 1852 | 1862 | ||||
| 1853 | (subclass PartialOrderingRelation TransitiveRelation) | 1863 | (subclass PartialOrderingRelation TransitiveRelation) | ||
| 1854 | (subclass PartialOrderingRelation AntisymmetricRelation) | 1864 | (subclass PartialOrderingRelation AntisymmetricRelation) | ||
| 1855 | (subclass PartialOrderingRelation ReflexiveRelation) | 1865 | (subclass PartialOrderingRelation ReflexiveRelation) | ||
| 1856 | (documentation PartialOrderingRelation "A &%BinaryRelation is a partial | 1866 | (documentation PartialOrderingRelation "A &%BinaryRelation is a partial | ||
| 1857 | ordering if it is a &%ReflexiveRelation, an &%AntisymmetricRelation, and | 1867 | ordering if it is a &%ReflexiveRelation, an &%AntisymmetricRelation, and | ||
| 1858 | a &%TransitiveRelation.") | 1868 | a &%TransitiveRelation.") | ||
| 1859 | 1869 | ||||
| 1860 | (subclass TotalOrderingRelation PartialOrderingRelation) | 1870 | (subclass TotalOrderingRelation PartialOrderingRelation) | ||
| 1861 | (subclass TotalOrderingRelation TrichotomizingRelation) | 1871 | (subclass TotalOrderingRelation TrichotomizingRelation) | ||
| 1862 | (documentation TotalOrderingRelation "A &%BinaryRelation is a | 1872 | (documentation TotalOrderingRelation "A &%BinaryRelation is a | ||
| 1863 | &%TotalOrderingRelation if it is a &%PartialOrderingRelation | 1873 | &%TotalOrderingRelation if it is a &%PartialOrderingRelation | ||
| 1864 | and a &%TrichotomizingRelation.") | 1874 | and a &%TrichotomizingRelation.") | ||
| 1865 | 1875 | ||||
| 1866 | (=> | 1876 | (=> | ||
| 1867 | (instance ?REL TotalOrderingRelation) | 1877 | (instance ?REL TotalOrderingRelation) | ||
| 1868 | (forall (?INST1 ?INST2) | 1878 | (forall (?INST1 ?INST2) | ||
| 1869 | (or | 1879 | (or | ||
| 1870 | (holds ?REL ?INST1 ?INST2) | 1880 | (holds ?REL ?INST1 ?INST2) | ||
| 1871 | (holds ?REL ?INST2 ?INST1)))) | 1881 | (holds ?REL ?INST2 ?INST1)))) | ||
| 1872 | 1882 | ||||
| 1873 | (subclass EquivalenceRelation TransitiveRelation) | 1883 | (subclass EquivalenceRelation TransitiveRelation) | ||
| 1874 | (subclass EquivalenceRelation SymmetricRelation) | 1884 | (subclass EquivalenceRelation SymmetricRelation) | ||
| 1875 | (subclass EquivalenceRelation ReflexiveRelation) | 1885 | (subclass EquivalenceRelation ReflexiveRelation) | ||
| 1876 | (documentation EquivalenceRelation "A &%BinaryRelation is an equivalence | 1886 | (documentation EquivalenceRelation "A &%BinaryRelation is an equivalence | ||
| 1877 | relation if it is a &%ReflexiveRelation, a &%SymmetricRelation, and a | 1887 | relation if it is a &%ReflexiveRelation, a &%SymmetricRelation, and a | ||
| 1878 | &%TransitiveRelation.") | 1888 | &%TransitiveRelation.") | ||
| 1879 | 1889 | ||||
| 1880 | (subclass CaseRole BinaryPredicate) | 1890 | (subclass CaseRole BinaryPredicate) | ||
| 1881 | (instance CaseRole InheritableRelation) | 1891 | (instance CaseRole InheritableRelation) | ||
| 1882 | (subclass CaseRole AsymmetricRelation) | 1892 | (subclass CaseRole AsymmetricRelation) | ||
| 1883 | (documentation CaseRole "The &%Class of &%Predicates relating the | 1893 | (documentation CaseRole "The &%Class of &%Predicates relating the | ||
| 1884 | spatially distinguished parts of a &%Process. &%CaseRoles include, for | 1894 | spatially distinguished parts of a &%Process. &%CaseRoles include, for | ||
| 1885 | example, the &%agent, &%patient or &%destination of an action, the flammable | 1895 | example, the &%agent, &%patient or &%destination of an action, the flammable | ||
| 1886 | substance in a burning process, or the water that falls in rain.") | 1896 | substance in a burning process, or the water that falls in rain.") | ||
| 1887 | 1897 | ||||
| 1888 | (instance agent CaseRole) | 1898 | (instance agent CaseRole) | ||
| 1889 | (domain agent 1 Process) | 1899 | (domain agent 1 Process) | ||
| 1890 | (domain agent 2 Agent) | 1900 | (domain agent 2 Agent) | ||
| 1891 | (documentation agent "(&%agent ?PROCESS ?AGENT) means that ?AGENT is | 1901 | (documentation agent "(&%agent ?PROCESS ?AGENT) means that ?AGENT is | ||
| 1892 | an active determinant, either animate or inanimate, of the &%Process | 1902 | an active determinant, either animate or inanimate, of the &%Process | ||
| 1893 | ?PROCESS, with or without voluntary intention. For example, water is | 1903 | ?PROCESS, with or without voluntary intention. For example, water is | ||
| 1894 | the &%agent of erosion in the following proposition: the water | 1904 | the &%agent of erosion in the following proposition: the water | ||
| 1895 | eroded the coastline. For another example, Eve is an &%agent in the | 1905 | eroded the coastline. For another example, Eve is an &%agent in the | ||
| 1896 | following proposition: Eve bit an apple.") | 1906 | following proposition: Eve bit an apple.") | ||
| 1897 | 1907 | ||||
| 1898 | (=> | 1908 | (=> | ||
| 1899 | (instance ?PROCESS Process) | 1909 | (instance ?PROCESS Process) | ||
| 1900 | (exists (?CAUSE) | 1910 | (exists (?CAUSE) | ||
| 1901 | (agent ?PROCESS ?CAUSE))) | 1911 | (agent ?PROCESS ?CAUSE))) | ||
| 1902 | 1912 | ||||
| 1903 | (instance destination CaseRole) | 1913 | (instance destination CaseRole) | ||
| 1904 | (domain destination 1 Process) | 1914 | (domain destination 1 Process) | ||
| 1905 | (domain destination 2 Entity) | 1915 | (domain destination 2 Entity) | ||
| 1906 | (documentation destination "(destination ?PROCESS ?GOAL) means that | 1916 | (documentation destination "(destination ?PROCESS ?GOAL) means that | ||
| 1907 | ?GOAL is the target or goal of the Process ?PROCESS. For example, | 1917 | ?GOAL is the target or goal of the Process ?PROCESS. For example, | ||
| 1908 | Danbury would be the destination in the following proposition: Bob went | 1918 | Danbury would be the destination in the following proposition: Bob went | ||
| 1909 | to Danbury. Note that this is a very general &%CaseRole and, in | 1919 | to Danbury. Note that this is a very general &%CaseRole and, in | ||
| 1910 | particular, that it covers the concepts of 'recipient' and 'beneficiary'. | 1920 | particular, that it covers the concepts of 'recipient' and 'beneficiary'. | ||
| 1911 | Thus, John would be the &%destination in the following proposition: | 1921 | Thus, John would be the &%destination in the following proposition: | ||
| 1912 | Tom gave a book to John.") | 1922 | Tom gave a book to John.") | ||
| 1913 | 1923 | ||||
| 1914 | (instance experiencer CaseRole) | 1924 | (instance experiencer CaseRole) | ||
| 1915 | (domain experiencer 1 Process) | 1925 | (domain experiencer 1 Process) | ||
| 1916 | (domain experiencer 2 Agent) | 1926 | (domain experiencer 2 Agent) | ||
| 1917 | (documentation experiencer "(&%experiencer ?PROCESS ?AGENT) means | 1927 | (documentation experiencer "(&%experiencer ?PROCESS ?AGENT) means | ||
| 1918 | that ?AGENT experiences the &%Process ?PROCESS. For example, Yojo | 1928 | that ?AGENT experiences the &%Process ?PROCESS. For example, Yojo | ||
| 1919 | is the &%experiencer of seeing in the following proposition: Yojo | 1929 | is the &%experiencer of seeing in the following proposition: Yojo | ||
| 1920 | sees the fish. Note that &%experiencer, unlike &%agent, does | 1930 | sees the fish. Note that &%experiencer, unlike &%agent, does | ||
| 1921 | not entail a causal relation between its arguments.") | 1931 | not entail a causal relation between its arguments.") | ||
| 1922 | 1932 | ||||
| 1923 | (subrelation instrument patient) | 1933 | (subrelation instrument patient) | ||
| 1924 | (domain instrument 1 Process) | 1934 | (domain instrument 1 Process) | ||
| 1925 | (domain instrument 2 Object) | 1935 | (domain instrument 2 Object) | ||
| 1926 | (documentation instrument "(instrument ?EVENT ?TOOL) means that ?TOOL | 1936 | (documentation instrument "(instrument ?EVENT ?TOOL) means that ?TOOL | ||
| 1927 | is used by an agent in bringing about ?EVENT and that ?TOOL is not | 1937 | is used by an agent in bringing about ?EVENT and that ?TOOL is not | ||
| 1928 | changed by ?EVENT. For example, the key is an &%instrument in the | 1938 | changed by ?EVENT. For example, the key is an &%instrument in the | ||
| 1929 | following proposition: The key opened the door. Note that &%instrument | 1939 | following proposition: The key opened the door. Note that &%instrument | ||
| 1930 | and &%resource cannot be satisfied by the same ordered pair.") | 1940 | and &%resource cannot be satisfied by the same ordered pair.") | ||
| 1931 | 1941 | ||||
| 1932 | (instance origin CaseRole) | 1942 | (instance origin CaseRole) | ||
| 1933 | (domain origin 1 Process) | 1943 | (domain origin 1 Process) | ||
| 1934 | (domain origin 2 Object) | 1944 | (domain origin 2 Object) | ||
| 1935 | (documentation origin "(&%origin ?PROCESS ?SOURCE) means that ?SOURCE | 1945 | (documentation origin "(&%origin ?PROCESS ?SOURCE) means that ?SOURCE | ||
| 1936 | indicates where the ?Process began. Note that this relation implies | 1946 | indicates where the ?Process began. Note that this relation implies | ||
| 1937 | that ?SOURCE is present at the beginning of the process, but need not | 1947 | that ?SOURCE is present at the beginning of the process, but need not | ||
| 1938 | participate throughout the process. For example, the submarine is the | 1948 | participate throughout the process. For example, the submarine is the | ||
| 1939 | &%origin in the following proposition: the missile was launched from a | 1949 | &%origin in the following proposition: the missile was launched from a | ||
| 1940 | submarine.") | 1950 | submarine.") | ||
| 1941 | 1951 | ||||
| 1942 | (instance patient CaseRole) | 1952 | (instance patient CaseRole) | ||
| 1943 | (domain patient 1 Process) | 1953 | (domain patient 1 Process) | ||
| 1944 | (domain patient 2 Entity) | 1954 | (domain patient 2 Entity) | ||
| 1945 | (documentation patient "(&%patient ?PROCESS ?ENTITY) means that ?ENTITY | 1955 | (documentation patient "(&%patient ?PROCESS ?ENTITY) means that ?ENTITY | ||
| 1946 | is a participant in ?PROCESS that may be moved, said, experienced, etc. | 1956 | is a participant in ?PROCESS that may be moved, said, experienced, etc. | ||
| 1947 | For example, the direct objects in the sentences 'The cat swallowed the | 1957 | For example, the direct objects in the sentences 'The cat swallowed the | ||
| 1948 | canary' and 'Billy likes the beer' would be examples of &%patients. Note | 1958 | canary' and 'Billy likes the beer' would be examples of &%patients. Note | ||
| 1949 | that the &%patient of a &%Process may or may not undergo structural | 1959 | that the &%patient of a &%Process may or may not undergo structural | ||
| 1950 | change as a result of the &%Process. The &%CaseRole of &%patient is used | 1960 | change as a result of the &%Process. The &%CaseRole of &%patient is used | ||
| 1951 | when one wants to specify as broadly as possible the object of a | 1961 | when one wants to specify as broadly as possible the object of a | ||
| 1952 | &%Process.") | 1962 | &%Process.") | ||
| 1953 | 1963 | ||||
| 1954 | (subrelation resource patient) | 1964 | (subrelation resource patient) | ||
| 1955 | (domain resource 1 Process) | 1965 | (domain resource 1 Process) | ||
| 1956 | (domain resource 2 Object) | 1966 | (domain resource 2 Object) | ||
| 1957 | (disjointRelation resource result instrument) | 1967 | (disjointRelation resource result instrument) | ||
| 1958 | (documentation resource "(&%resource ?PROCESS ?RESOURCE) means that | 1968 | (documentation resource "(&%resource ?PROCESS ?RESOURCE) means that | ||
| 1959 | ?RESOURCE is present at the beginning of ?PROCESS, is used by ?PROCESS, | 1969 | ?RESOURCE is present at the beginning of ?PROCESS, is used by ?PROCESS, | ||
| 1960 | and as a consequence is changed by ?PROCESS. For example, soap is a | 1970 | and as a consequence is changed by ?PROCESS. For example, soap is a | ||
| 1961 | &%resource in the following proposition: the gun was carved out of soap. | 1971 | &%resource in the following proposition: the gun was carved out of soap. | ||
| 1962 | Note that &%resource differs from &%instrument, another subrelation of | 1972 | Note that &%resource differs from &%instrument, another subrelation of | ||
| 1963 | &%patient, in that its internal or physical properties are altered in | 1973 | &%patient, in that its internal or physical properties are altered in | ||
| 1964 | some way by the &%Process.") | 1974 | some way by the &%Process.") | ||
| 1965 | 1975 | ||||
| 1966 | (subrelation result patient) | 1976 | (subrelation result patient) | ||
| 1967 | (domain result 1 Process) | 1977 | (domain result 1 Process) | ||
| 1968 | (domain result 2 Entity) | 1978 | (domain result 2 Entity) | ||
| 1969 | (documentation result "(result ?ACTION ?OUTPUT) means that ?OUTPUT is | 1979 | (documentation result "(result ?ACTION ?OUTPUT) means that ?OUTPUT is | ||
| 1970 | a product of ?ACTION. For example, house is a &%result in the | 1980 | a product of ?ACTION. For example, house is a &%result in the | ||
| 1971 | following proposition: Eric built a house.") | 1981 | following proposition: Eric built a house.") | ||
| 1972 | 1982 | ||||
| 1973 | (instance InheritableRelation Class) | 1983 | (instance InheritableRelation Class) | ||
| 1974 | (documentation InheritableRelation "This is a &%Class of &%Classes. Each | 1984 | (documentation InheritableRelation "This is a &%Class of &%Classes. Each | ||
| 1975 | &%instance of &%InheritableRelation is a &%subclass of &%Relation whose | 1985 | &%instance of &%InheritableRelation is a &%subclass of &%Relation whose | ||
| 1976 | properties can be inherited downward in the class hierarchy via the | 1986 | properties can be inherited downward in the class hierarchy via the | ||
| 1977 | &%subrelation &%Predicate.") | 1987 | &%subrelation &%Predicate.") | ||
| 1978 | 1988 | ||||
| 1979 | (subclass ProbabilityRelation Relation) | 1989 | (subclass ProbabilityRelation Relation) | ||
| 1980 | (instance ProbabilityRelation InheritableRelation) | 1990 | (instance ProbabilityRelation InheritableRelation) | ||
| 1981 | (documentation ProbabilityRelation "The &%Class of &%Relations that | 1991 | (documentation ProbabilityRelation "The &%Class of &%Relations that | ||
| 1982 | permit assessment of the probability of an event or situation.") | 1992 | permit assessment of the probability of an event or situation.") | ||
| 1983 | 1993 | ||||
| 1984 | (instance ProbabilityFn ProbabilityRelation) | 1994 | (instance ProbabilityFn ProbabilityRelation) | ||
| 1985 | (instance ProbabilityFn TotalValuedRelation) | 1995 | (instance ProbabilityFn TotalValuedRelation) | ||
| 1986 | (instance ProbabilityFn UnaryFunction) | 1996 | (instance ProbabilityFn UnaryFunction) | ||
| 1987 | (domain ProbabilityFn 1 Formula) | 1997 | (domain ProbabilityFn 1 Formula) | ||
| 1988 | (range ProbabilityFn RealNumber) | 1998 | (range ProbabilityFn RealNumber) | ||
| 1989 | (instance ProbabilityFn AsymmetricRelation) | 1999 | (instance ProbabilityFn AsymmetricRelation) | ||
| 1990 | (documentation ProbabilityFn "One of the basic &%ProbabilityRelations, | 2000 | (documentation ProbabilityFn "One of the basic &%ProbabilityRelations, | ||
| 1991 | &%ProbabilityFn is used to state the a priori probability of a state of | 2001 | &%ProbabilityFn is used to state the a priori probability of a state of | ||
| 1992 | affairs. (&%ProbabilityFn ?FORMULA) denotes the a priori probability | 2002 | affairs. (&%ProbabilityFn ?FORMULA) denotes the a priori probability | ||
| 1993 | of ?FORMULA.") | 2003 | of ?FORMULA.") | ||
| 1994 | 2004 | ||||
| 1995 | (instance conditionalProbability ProbabilityRelation) | 2005 | (instance conditionalProbability ProbabilityRelation) | ||
| 1996 | (instance conditionalProbability TernaryPredicate) | 2006 | (instance conditionalProbability TernaryPredicate) | ||
| 1997 | (domain conditionalProbability 1 Formula) | 2007 | (domain conditionalProbability 1 Formula) | ||
| 1998 | (domain conditionalProbability 2 Formula) | 2008 | (domain conditionalProbability 2 Formula) | ||
| 1999 | (domain conditionalProbability 3 RealNumber) | 2009 | (domain conditionalProbability 3 RealNumber) | ||
| 2000 | (documentation conditionalProbability "One of the basic &%ProbabilityRelations. | 2010 | (documentation conditionalProbability "One of the basic &%ProbabilityRelations. | ||
| 2001 | &%conditionalProbability is used to state the numeric value of a conditional | 2011 | &%conditionalProbability is used to state the numeric value of a conditional | ||
| 2002 | probability. (&%conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER) means | 2012 | probability. (&%conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER) means | ||
| 2003 | that the probability of ?FORMULA2 being true given that ?FORMULA1 is true is | 2013 | that the probability of ?FORMULA2 being true given that ?FORMULA1 is true is | ||
| 2004 | ?NUMBER.") | 2014 | ?NUMBER.") | ||
| 2005 | 2015 | ||||
| 2006 | (instance increasesLikelihood ProbabilityRelation) | 2016 | (instance increasesLikelihood ProbabilityRelation) | ||
| 2007 | (instance increasesLikelihood BinaryPredicate) | 2017 | (instance increasesLikelihood BinaryPredicate) | ||
| 2008 | (instance increasesLikelihood IrreflexiveRelation) | 2018 | (instance increasesLikelihood IrreflexiveRelation) | ||
| 2009 | (domain increasesLikelihood 1 Formula) | 2019 | (domain increasesLikelihood 1 Formula) | ||
| 2010 | (domain increasesLikelihood 2 Formula) | 2020 | (domain increasesLikelihood 2 Formula) | ||
| 2011 | (disjointRelation increasesLikelihood decreasesLikelihood independentProbability) | 2021 | (disjointRelation increasesLikelihood decreasesLikelihood independentProbability) | ||
| 2012 | (documentation increasesLikelihood "One of the basic &%ProbabilityRelations. | 2022 | (documentation increasesLikelihood "One of the basic &%ProbabilityRelations. | ||
| 2013 | (&%increasesLikelihood ?FORMULA1 ?FORMULA2) means that ?FORMULA2 is more | 2023 | (&%increasesLikelihood ?FORMULA1 ?FORMULA2) means that ?FORMULA2 is more | ||
| 2014 | likely to be true if ?FORMULA1 is true.") | 2024 | likely to be true if ?FORMULA1 is true.") | ||
| 2015 | 2025 | ||||
| 2016 | (=> | 2026 | (=> | ||
| 2017 | (and | 2027 | (and | ||
| 2018 | (increasesLikelihood ?FORMULA1 ?FORMULA2) | 2028 | (increasesLikelihood ?FORMULA1 ?FORMULA2) | ||
| 2019 | (equal (ProbabilityFn ?FORMULA2) ?NUMBER1) | 2029 | (equal (ProbabilityFn ?FORMULA2) ?NUMBER1) | ||
| 2020 | (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2)) | 2030 | (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2)) | ||
| 2021 | (greaterThan ?NUMBER2 ?NUMBER1)) | 2031 | (greaterThan ?NUMBER2 ?NUMBER1)) | ||
| 2022 | 2032 | ||||
| 2023 | (instance decreasesLikelihood ProbabilityRelation) | 2033 | (instance decreasesLikelihood ProbabilityRelation) | ||
| 2024 | (instance decreasesLikelihood BinaryPredicate) | 2034 | (instance decreasesLikelihood BinaryPredicate) | ||
| 2025 | (instance decreasesLikelihood IrreflexiveRelation) | 2035 | (instance decreasesLikelihood IrreflexiveRelation) | ||
| 2026 | (domain decreasesLikelihood 1 Formula) | 2036 | (domain decreasesLikelihood 1 Formula) | ||
| 2027 | (domain decreasesLikelihood 2 Formula) | 2037 | (domain decreasesLikelihood 2 Formula) | ||
| 2028 | (documentation decreasesLikelihood "One of the basic &%ProbabilityRelations. | 2038 | (documentation decreasesLikelihood "One of the basic &%ProbabilityRelations. | ||
| 2029 | (&%decreasesLikelihood ?FORMULA1 ?FORMULA2) means that ?FORMULA2 is less | 2039 | (&%decreasesLikelihood ?FORMULA1 ?FORMULA2) means that ?FORMULA2 is less | ||
| 2030 | likely to be true if ?FORMULA1 is true.") | 2040 | likely to be true if ?FORMULA1 is true.") | ||
| 2031 | 2041 | ||||
| 2032 | (=> | 2042 | (=> | ||
| 2033 | (and | 2043 | (and | ||
| 2034 | (decreasesLikelihood ?FORMULA1 ?FORMULA2) | 2044 | (decreasesLikelihood ?FORMULA1 ?FORMULA2) | ||
| 2035 | (equal (ProbabilityFn ?FORMULA2) ?NUMBER1) | 2045 | (equal (ProbabilityFn ?FORMULA2) ?NUMBER1) | ||
| 2036 | (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2)) | 2046 | (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2)) | ||
| 2037 | (lessThan ?NUMBER2 ?NUMBER1)) | 2047 | (lessThan ?NUMBER2 ?NUMBER1)) | ||
| 2038 | 2048 | ||||
| 2039 | (instance independentProbability ProbabilityRelation) | 2049 | (instance independentProbability ProbabilityRelation) | ||
| 2040 | (instance independentProbability BinaryPredicate) | 2050 | (instance independentProbability BinaryPredicate) | ||
| 2041 | (instance independentProbability SymmetricRelation) | 2051 | (instance independentProbability SymmetricRelation) | ||
| 2042 | (domain independentProbability 1 Formula) | 2052 | (domain independentProbability 1 Formula) | ||
| 2043 | (domain independentProbability 2 Formula) | 2053 | (domain independentProbability 2 Formula) | ||
| 2044 | (documentation independentProbability "One of the basic &%ProbabilityRelations. | 2054 | (documentation independentProbability "One of the basic &%ProbabilityRelations. | ||
| 2045 | (&%independentProbability ?FORMULA1 ?FORMULA2) means that the probabilities of | 2055 | (&%independentProbability ?FORMULA1 ?FORMULA2) means that the probabilities of | ||
| 2046 | ?FORMULA1 and ?FORMULA2 being true are independent.") | 2056 | ?FORMULA1 and ?FORMULA2 being true are independent.") | ||
| 2047 | 2057 | ||||
| 2048 | (=> | 2058 | (=> | ||
| 2049 | (and | 2059 | (and | ||
| 2050 | (independentProbability ?FORMULA1 ?FORMULA2) | 2060 | (independentProbability ?FORMULA1 ?FORMULA2) | ||
| 2051 | (equal (ProbabilityFn ?FORMULA2) ?NUMBER1) | 2061 | (equal (ProbabilityFn ?FORMULA2) ?NUMBER1) | ||
| 2052 | (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2)) | 2062 | (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2)) | ||
| 2053 | (equal ?NUMBER2 ?NUMBER1)) | 2063 | (equal ?NUMBER2 ?NUMBER1)) | ||
| 2054 | 2064 | ||||
| 2055 | (=> | 2065 | (=> | ||
| 2056 | (and | 2066 | (and | ||
| 2057 | (instance ?FORMULA1 Formula) | 2067 | (instance ?FORMULA1 Formula) | ||
| 2058 | (instance ?FORMULA2 Formula)) | 2068 | (instance ?FORMULA2 Formula)) | ||
| 2059 | (or | 2069 | (or | ||
| 2060 | (increasesLikelihood ?FORMULA1 ?FORMULA2) | 2070 | (increasesLikelihood ?FORMULA1 ?FORMULA2) | ||
| 2061 | (decreasesLikelihood ?FORMULA1 ?FORMULA2) | 2071 | (decreasesLikelihood ?FORMULA1 ?FORMULA2) | ||
| 2062 | (independentProbability ?FORMULA1 ?FORMULA2))) | 2072 | (independentProbability ?FORMULA1 ?FORMULA2))) | ||
| 2063 | 2073 | ||||
| 2064 | (subclass SpatialRelation Relation) | 2074 | (subclass SpatialRelation Relation) | ||
| 2065 | (instance SpatialRelation InheritableRelation) | 2075 | (instance SpatialRelation InheritableRelation) | ||
| 2066 | (documentation SpatialRelation "The &%Class of &%Relations that are | 2076 | (documentation SpatialRelation "The &%Class of &%Relations that are | ||
| 2067 | spatial in a wide sense. This &%Class includes mereological relations | 2077 | spatial in a wide sense. This &%Class includes mereological relations | ||
| 2068 | and topological relations.") | 2078 | and topological relations.") | ||
| 2069 | 2079 | ||||
| 2070 | (subclass TemporalRelation Relation) | 2080 | (subclass TemporalRelation Relation) | ||
| 2071 | (instance TemporalRelation InheritableRelation) | 2081 | (instance TemporalRelation InheritableRelation) | ||
| 2072 | (documentation TemporalRelation "The &%Class of temporal &%Relations. | 2082 | (documentation TemporalRelation "The &%Class of temporal &%Relations. | ||
| 2073 | This &%Class includes notions of (temporal) topology of intervals, | 2083 | This &%Class includes notions of (temporal) topology of intervals, | ||
| 2074 | (temporal) schemata, and (temporal) extension.") | 2084 | (temporal) schemata, and (temporal) extension.") | ||
| 2075 | 2085 | ||||
| 2076 | (instance IntentionalRelation InheritableRelation) | 2086 | (instance IntentionalRelation InheritableRelation) | ||
| 2077 | (documentation IntentionalRelation "The &%Class of &%Relations between | 2087 | (documentation IntentionalRelation "The &%Class of &%Relations between | ||
| 2078 | an &%Agent and one or more &%Entities, where the &%Relation requires that | 2088 | an &%Agent and one or more &%Entities, where the &%Relation requires that | ||
| 2079 | the &%Agent have awareness of the &%Entity.") | 2089 | the &%Agent have awareness of the &%Entity.") | ||
| 2080 | 2090 | ||||
| 2081 | (=> | 2091 | (=> | ||
| 2082 | (and | 2092 | (and | ||
| 2083 | (instance ?REL IntentionalRelation) | 2093 | (instance ?REL IntentionalRelation) | ||
| 2084 | (holds ?REL ?AGENT @ROW) | 2094 | (holds ?REL ?AGENT @ROW) | ||
| 2085 | (inList ?OBJ (ListFn @ROW))) | 2095 | (inList ?OBJ (ListFn @ROW))) | ||
| 2086 | (inScopeOfInterest ?AGENT ?OBJ)) | 2096 | (inScopeOfInterest ?AGENT ?OBJ)) | ||
| 2087 | 2097 | ||||
| 2088 | (instance prefers TernaryPredicate) | 2098 | (instance prefers TernaryPredicate) | ||
| 2089 | (instance prefers IntentionalRelation) | 2099 | (instance prefers IntentionalRelation) | ||
| 2090 | (domain prefers 1 CognitiveAgent) | 2100 | (domain prefers 1 CognitiveAgent) | ||
| 2091 | (domain prefers 2 Formula) | 2101 | (domain prefers 2 Formula) | ||
| 2092 | (domain prefers 3 Formula) | 2102 | (domain prefers 3 Formula) | ||
| 2093 | (documentation prefers "(&%prefers ?AGENT ?FORMULA1 ?FORMULA2) means that | 2103 | (documentation prefers "(&%prefers ?AGENT ?FORMULA1 ?FORMULA2) means that | ||
| 2094 | &%CognitiveAgent ?AGENT prefers the state of affairs expressed by ?FORMULA1 | 2104 | &%CognitiveAgent ?AGENT prefers the state of affairs expressed by ?FORMULA1 | ||
| 2095 | over the state of affairs expressed by ?FORMULA2 all things being equal.") | 2105 | over the state of affairs expressed by ?FORMULA2 all things being equal.") | ||
| 2096 | 2106 | ||||
| 2097 | (=> | 2107 | (=> | ||
| 2098 | (prefers ?AGENT ?FORMULA1 ?FORMULA2) | 2108 | (prefers ?AGENT ?FORMULA1 ?FORMULA2) | ||
| 2099 | (not (and | 2109 | (not (and | ||
| 2100 | (true ?FORMULA1 True) | 2110 | (true ?FORMULA1 True) | ||
| 2101 | (true ?FORMULA2 True)))) | 2111 | (true ?FORMULA2 True)))) | ||
| 2102 | 2112 | ||||
| 2103 | (subclass PropositionalAttitude IntentionalRelation) | 2113 | (subclass PropositionalAttitude IntentionalRelation) | ||
| 2104 | (subclass PropositionalAttitude AsymmetricRelation) | 2114 | (subclass PropositionalAttitude AsymmetricRelation) | ||
| 2105 | (instance PropositionalAttitude InheritableRelation) | 2115 | (instance PropositionalAttitude InheritableRelation) | ||
| 2106 | (documentation PropositionalAttitude "The &%Class of | 2116 | (documentation PropositionalAttitude "The &%Class of | ||
| 2107 | &%IntentionalRelations where the &%Agent has awareness of a | 2117 | &%IntentionalRelations where the &%Agent has awareness of a | ||
| 2108 | &%Proposition.") | 2118 | &%Proposition.") | ||
| 2109 | 2119 | ||||
| 2110 | (subclass ObjectAttitude IntentionalRelation) | 2120 | (subclass ObjectAttitude IntentionalRelation) | ||
| 2111 | (instance ObjectAttitude InheritableRelation) | 2121 | (instance ObjectAttitude InheritableRelation) | ||
| 2112 | (disjoint ObjectAttitude PropositionalAttitude) | 2122 | (disjoint ObjectAttitude PropositionalAttitude) | ||
| 2113 | (documentation ObjectAttitude "The &%Class of &%IntentionalRelations | 2123 | (documentation ObjectAttitude "The &%Class of &%IntentionalRelations | ||
| 2114 | where the &%Agent has awareness of an instance of &%Physical.") | 2124 | where the &%Agent has awareness of an instance of &%Physical.") | ||
| 2115 | 2125 | ||||
| 2116 | (instance inScopeOfInterest BinaryPredicate) | 2126 | (instance inScopeOfInterest BinaryPredicate) | ||
| 2117 | (instance inScopeOfInterest IntentionalRelation) | 2127 | (instance inScopeOfInterest IntentionalRelation) | ||
| 2118 | (domain inScopeOfInterest 1 CognitiveAgent) | 2128 | (domain inScopeOfInterest 1 CognitiveAgent) | ||
| 2119 | (domain inScopeOfInterest 2 Entity) | 2129 | (domain inScopeOfInterest 2 Entity) | ||
| 2120 | (documentation inScopeOfInterest "A very general &%Predicate. | 2130 | (documentation inScopeOfInterest "A very general &%Predicate. | ||
| 2121 | (&%inScopeOfInterest ?AGENT ?ENTITY) means that ?ENTITY is within the | 2131 | (&%inScopeOfInterest ?AGENT ?ENTITY) means that ?ENTITY is within the | ||
| 2122 | scope of interest of ?AGENT. Note that the interest indicated can be | 2132 | scope of interest of ?AGENT. Note that the interest indicated can be | ||
| 2123 | either positive or negative, i.e. the ?AGENT can have an interest in | 2133 | either positive or negative, i.e. the ?AGENT can have an interest in | ||
| 2124 | avoiding or promoting ?ENTITY.") | 2134 | avoiding or promoting ?ENTITY.") | ||
| 2125 | 2135 | ||||
| 2126 | (instance notices ObjectAttitude) | 2136 | (instance notices ObjectAttitude) | ||
| 2127 | (subrelation notices inScopeOfInterest) | 2137 | (subrelation notices inScopeOfInterest) | ||
| 2128 | (domain notices 1 CognitiveAgent) | 2138 | (domain notices 1 CognitiveAgent) | ||
| 2129 | (domain notices 2 Object) | 2139 | (domain notices 2 Object) | ||
| 2130 | (documentation notices "(&%notices ?AGENT ?OBJECT) means that ?AGENT is | 2140 | (documentation notices "(&%notices ?AGENT ?OBJECT) means that ?AGENT is | ||
| 2131 | paying attention to ?OBJECT, that ?OBJECT is currently the object of | 2141 | paying attention to ?OBJECT, that ?OBJECT is currently the object of | ||
| 2132 | ?AGENT's conscious awareness.") | 2142 | ?AGENT's conscious awareness.") | ||
| 2133 | 2143 | ||||
| 2134 | (instance needs ObjectAttitude) | 2144 | (instance needs ObjectAttitude) | ||
| 2135 | (subrelation needs inScopeOfInterest) | 2145 | (subrelation needs inScopeOfInterest) | ||
| 2136 | (domain needs 1 CognitiveAgent) | 2146 | (domain needs 1 CognitiveAgent) | ||
| 2137 | (domain needs 2 Object) | 2147 | (domain needs 2 Object) | ||
| 2138 | (documentation needs "(&%needs ?AGENT ?OBJECT) means that ?OBJECT is | 2148 | (documentation needs "(&%needs ?AGENT ?OBJECT) means that ?OBJECT is | ||
| 2139 | physically required for the continued existence of ?AGENT.") | 2149 | physically required for the continued existence of ?AGENT.") | ||
| 2140 | 2150 | ||||
| 2141 | (=> | 2151 | (=> | ||
| 2142 | (needs ?AGENT ?OBJECT) | 2152 | (needs ?AGENT ?OBJECT) | ||
| 2143 | (wants ?AGENT ?OBJECT)) | 2153 | (wants ?AGENT ?OBJECT)) | ||
| 2144 | 2154 | ||||
| 2145 | (instance wants ObjectAttitude) | 2155 | (instance wants ObjectAttitude) | ||
| 2146 | (subrelation wants inScopeOfInterest) | 2156 | (subrelation wants inScopeOfInterest) | ||
| 2147 | (relatedInternalConcept wants desires) | 2157 | (relatedInternalConcept wants desires) | ||
| 2148 | (domain wants 1 CognitiveAgent) | 2158 | (domain wants 1 CognitiveAgent) | ||
| 2149 | (domain wants 2 Object) | 2159 | (domain wants 2 Object) | ||
| 2150 | (documentation wants "(&%wants ?AGENT ?OBJECT) means that ?OBJECT is desired by ?AGENT, | 2160 | (documentation wants "(&%wants ?AGENT ?OBJECT) means that ?OBJECT is desired by ?AGENT, | ||
| 2151 | i.e. ?AGENT believes that ?OBJECT will satisfy one of its goals. Note that there is | 2161 | i.e. ?AGENT believes that ?OBJECT will satisfy one of its goals. Note that there is | ||
| 2152 | no implication that what is wanted by an agent is not already possessed by the agent.") | 2162 | no implication that what is wanted by an agent is not already possessed by the agent.") | ||
| 2153 | 2163 | ||||
| 2154 | (=> | 2164 | (=> | ||
| 2155 | (wants ?AGENT ?OBJ) | 2165 | (wants ?AGENT ?OBJ) | ||
| 2156 | (exists (?PURP) | 2166 | (exists (?PURP) | ||
| 2157 | (hasPurposeForAgent ?OBJ ?PURP ?AGENT))) | 2167 | (hasPurposeForAgent ?OBJ ?PURP ?AGENT))) | ||
| 2158 | 2168 | ||||
| 2159 | (=> | 2169 | (=> | ||
| 2160 | (wants ?AGENT ?OBJ) | 2170 | (wants ?AGENT ?OBJ) | ||
| 2161 | (desires ?AGENT (possesses ?AGENT ?OBJ))) | 2171 | (desires ?AGENT (possesses ?AGENT ?OBJ))) | ||
| 2162 | 2172 | ||||
| 2163 | (instance desires PropositionalAttitude) | 2173 | (instance desires PropositionalAttitude) | ||
| 2164 | (subrelation desires inScopeOfInterest) | 2174 | (subrelation desires inScopeOfInterest) | ||
| 2165 | (relatedInternalConcept desires wants) | 2175 | (relatedInternalConcept desires wants) | ||
| 2166 | (domain desires 1 CognitiveAgent) | 2176 | (domain desires 1 CognitiveAgent) | ||
| 2167 | (domain desires 2 Formula) | 2177 | (domain desires 2 Formula) | ||
| 2168 | (documentation desires "(&%desires ?AGENT ?FORMULA) means that ?AGENT wants | 2178 | (documentation desires "(&%desires ?AGENT ?FORMULA) means that ?AGENT wants | ||
| 2169 | to bring about the state of affairs expressed by ?FORMULA. Note that there | 2179 | to bring about the state of affairs expressed by ?FORMULA. Note that there | ||
| 2170 | is no implication that what is desired by the agent is not already true. | 2180 | is no implication that what is desired by the agent is not already true. | ||
| 2171 | Note too that &%desires is distinguished from &%wants only in that the former | 2181 | Note too that &%desires is distinguished from &%wants only in that the former | ||
| 2172 | is a &%PropositionalAttitude, while &%wants is an &%ObjectAttitude.") | 2182 | is a &%PropositionalAttitude, while &%wants is an &%ObjectAttitude.") | ||
| 2173 | 2183 | ||||
| 2174 | (instance considers PropositionalAttitude) | 2184 | (instance considers PropositionalAttitude) | ||
| 2175 | (subrelation considers inScopeOfInterest) | 2185 | (subrelation considers inScopeOfInterest) | ||
| 2176 | (domain considers 1 CognitiveAgent) | 2186 | (domain considers 1 CognitiveAgent) | ||
| 2177 | (domain considers 2 Formula) | 2187 | (domain considers 2 Formula) | ||
| 2178 | (documentation considers "(&%considers ?AGENT ?FORMULA) means that ?AGENT | 2188 | (documentation considers "(&%considers ?AGENT ?FORMULA) means that ?AGENT | ||
| 2179 | considers or wonders about the truth of the proposition expressed by | 2189 | considers or wonders about the truth of the proposition expressed by | ||
| 2180 | ?FORMULA.") | 2190 | ?FORMULA.") | ||
| 2181 | 2191 | ||||
| 2182 | (instance believes PropositionalAttitude) | 2192 | (instance believes PropositionalAttitude) | ||
| 2183 | (subrelation believes inScopeOfInterest) | 2193 | (subrelation believes inScopeOfInterest) | ||
| 2184 | (domain believes 1 CognitiveAgent) | 2194 | (domain believes 1 CognitiveAgent) | ||
| 2185 | (domain believes 2 Formula) | 2195 | (domain believes 2 Formula) | ||
| 2186 | (documentation believes "The epistemic predicate of belief. | 2196 | (documentation believes "The epistemic predicate of belief. | ||
| 2187 | (&%believes ?AGENT ?FORMULA) means that ?AGENT believes the proposition | 2197 | (&%believes ?AGENT ?FORMULA) means that ?AGENT believes the proposition | ||
| 2188 | expressed by ?FORMULA.") | 2198 | expressed by ?FORMULA.") | ||
| 2189 | 2199 | ||||
| 2190 | (=> | 2200 | (=> | ||
| 2191 | (believes ?AGENT ?FORMULA) | 2201 | (believes ?AGENT ?FORMULA) | ||
| 2192 | (exists (?TIME) | 2202 | (exists (?TIME) | ||
| 2193 | (holdsDuring ?TIME (considers ?AGENT ?FORMULA)))) | 2203 | (holdsDuring ?TIME (considers ?AGENT ?FORMULA)))) | ||
| 2194 | 2204 | ||||
| 2195 | (instance knows PropositionalAttitude) | 2205 | (instance knows PropositionalAttitude) | ||
| 2196 | (subrelation knows inScopeOfInterest) | 2206 | (subrelation knows inScopeOfInterest) | ||
| 2197 | (domain knows 1 CognitiveAgent) | 2207 | (domain knows 1 CognitiveAgent) | ||
| 2198 | (domain knows 2 Formula) | 2208 | (domain knows 2 Formula) | ||
| 2199 | (documentation knows "The epistemic predicate of knowing. (&%knows | 2209 | (documentation knows "The epistemic predicate of knowing. (&%knows | ||
| 2200 | ?AGENT ?FORMULA) means that ?AGENT knows the proposition expressed by | 2210 | ?AGENT ?FORMULA) means that ?AGENT knows the proposition expressed by | ||
| 2201 | ?FORMULA. Note that &%knows entails conscious awareness, so this | 2211 | ?FORMULA. Note that &%knows entails conscious awareness, so this | ||
| 2202 | &%Predicate cannot be used to express tacit or subconscious or | 2212 | &%Predicate cannot be used to express tacit or subconscious or | ||
| 2203 | unconscious knowledge.") | 2213 | unconscious knowledge.") | ||
| 2204 | 2214 | ||||
| 2205 | (=> | 2215 | (=> | ||
| 2206 | (knows ?AGENT ?FORMULA) | 2216 | (knows ?AGENT ?FORMULA) | ||
| 2207 | (believes ?AGENT ?FORMULA)) | 2217 | (believes ?AGENT ?FORMULA)) | ||
| 2208 | 2218 | ||||
| 2209 | (=> | 2219 | (=> | ||
| 2210 | (knows ?AGENT ?FORMULA) | 2220 | (knows ?AGENT ?FORMULA) | ||
| 2211 | (true ?FORMULA True)) | 2221 | (true ?FORMULA True)) | ||
| 2212 | 2222 | ||||
| 2213 | (subclass TernaryRelation Relation) | 2223 | (subclass TernaryRelation Relation) | ||
| 2214 | (instance TernaryRelation InheritableRelation) | 2224 | (instance TernaryRelation InheritableRelation) | ||
| 2215 | (documentation TernaryRelation "&%TernaryRelations relate three items. | 2225 | (documentation TernaryRelation "&%TernaryRelations relate three items. | ||
| 2216 | The two &%subclasses of &%TernaryRelation are &%TernaryPredicate and | 2226 | The two &%subclasses of &%TernaryRelation are &%TernaryPredicate and | ||
| 2217 | &%BinaryFunction.") | 2227 | &%BinaryFunction.") | ||
| 2218 | 2228 | ||||
| 2219 | (=> | 2229 | (=> | ||
| 2220 | (instance ?REL TernaryRelation) | 2230 | (instance ?REL TernaryRelation) | ||
| 2221 | (not | 2231 | (not | ||
| 2222 | (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 @ROW) | 2232 | (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 @ROW) | ||
| 2223 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 @ROW)))) | 2233 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 @ROW)))) | ||
| 2224 | 2234 | ||||
| 2225 | (subclass QuaternaryRelation Relation) | 2235 | (subclass QuaternaryRelation Relation) | ||
| 2226 | (instance QuaternaryRelation InheritableRelation) | 2236 | (instance QuaternaryRelation InheritableRelation) | ||
| 2227 | (documentation QuaternaryRelation "&%QuaternaryRelations relate four | 2237 | (documentation QuaternaryRelation "&%QuaternaryRelations relate four | ||
| 2228 | items. The two &%subclasses of &%QuaternaryRelation are | 2238 | items. The two &%subclasses of &%QuaternaryRelation are | ||
| 2229 | &%QuaternaryPredicate and &%TernaryFunction.") | 2239 | &%QuaternaryPredicate and &%TernaryFunction.") | ||
| 2230 | 2240 | ||||
| 2231 | (=> | 2241 | (=> | ||
| 2232 | (instance ?REL QuaternaryRelation) | 2242 | (instance ?REL QuaternaryRelation) | ||
| 2233 | (not | 2243 | (not | ||
| 2234 | (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 @ROW) | 2244 | (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 @ROW) | ||
| 2235 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 @ROW)))) | 2245 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 @ROW)))) | ||
| 2236 | 2246 | ||||
| 2237 | (subclass QuintaryRelation Relation) | 2247 | (subclass QuintaryRelation Relation) | ||
| 2238 | (instance QuintaryRelation InheritableRelation) | 2248 | (instance QuintaryRelation InheritableRelation) | ||
| 2239 | (documentation QuintaryRelation "&%QuintaryRelations relate five items. | 2249 | (documentation QuintaryRelation "&%QuintaryRelations relate five items. | ||
| 2240 | The two &%subclasses of &%QuintaryRelation are &%QuintaryPredicate and | 2250 | The two &%subclasses of &%QuintaryRelation are &%QuintaryPredicate and | ||
| 2241 | &%QuaternaryFunction.") | 2251 | &%QuaternaryFunction.") | ||
| 2242 | 2252 | ||||
| 2243 | (=> | 2253 | (=> | ||
| 2244 | (instance ?REL QuintaryRelation) | 2254 | (instance ?REL QuintaryRelation) | ||
| 2245 | (not | 2255 | (not | ||
| 2246 | (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 ?ITEM6 @ROW) | 2256 | (exists (?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 ?ITEM6 @ROW) | ||
| 2247 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 ?ITEM6 @ROW)))) | 2257 | (holds ?REL ?ITEM1 ?ITEM2 ?ITEM3 ?ITEM4 ?ITEM5 ?ITEM6 @ROW)))) | ||
| 2248 | 2258 | ||||
| 2249 | (subclass List Relation) | 2259 | (subclass List Relation) | ||
| 2250 | (documentation List "Every &%List is a particular ordered n-tuple of | 2260 | (documentation List "Every &%List is a particular ordered n-tuple of | ||
| 2251 | items. Generally speaking, &%Lists are created by means of the &%ListFn | 2261 | items. Generally speaking, &%Lists are created by means of the &%ListFn | ||
| 2252 | &%Function, which takes any number of items as arguments and returns a | 2262 | &%Function, which takes any number of items as arguments and returns a | ||
| 2253 | &%List with the items in the same order. Anything, including other | 2263 | &%List with the items in the same order. Anything, including other | ||
| 2254 | &%Lists, may be an item in a &%List. Note too that &%Lists are | 2264 | &%Lists, may be an item in a &%List. Note too that &%Lists are | ||
| 2255 | extensional - two lists that have the same items in the same order are | 2265 | extensional - two lists that have the same items in the same order are | ||
| 2256 | identical. Note too that a &%List may contain no items. In that case, | 2266 | identical. Note too that a &%List may contain no items. In that case, | ||
| 2257 | the &%List is the &%NullList.") | 2267 | the &%List is the &%NullList.") | ||
| 2258 | 2268 | ||||
| 2259 | (=> | 2269 | (=> | ||
| 2260 | (instance ?LIST List) | 2270 | (instance ?LIST List) | ||
| 2261 | (exists (?NUMBER1) | 2271 | (exists (?NUMBER1) | ||
| 2262 | (exists (?ITEM1) | 2272 | (exists (?ITEM1) | ||
| 2263 | (and | 2273 | (and | ||
| 2264 | (not (equal (ListOrderFn ?LIST ?NUMBER1) ?ITEM1)) | 2274 | (not (equal (ListOrderFn ?LIST ?NUMBER1) ?ITEM1)) | ||
| 2265 | (forall (?NUMBER2) | 2275 | (forall (?NUMBER2) | ||
| 2266 | (=> | 2276 | (=> | ||
| 2267 | (and | 2277 | (and | ||
| 2268 | (instance ?NUMBER2 PositiveInteger) | 2278 | (instance ?NUMBER2 PositiveInteger) | ||
| 2269 | (lessThan ?NUMBER2 ?NUMBER1)) | 2279 | (lessThan ?NUMBER2 ?NUMBER1)) | ||
| 2270 | (exists (?ITEM2) | 2280 | (exists (?ITEM2) | ||
| 2271 | (equal (ListOrderFn ?LIST ?NUMBER2) ?ITEM2)))))))) | 2281 | (equal (ListOrderFn ?LIST ?NUMBER2) ?ITEM2)))))))) | ||
| 2272 | 2282 | ||||
| 2273 | (subclass UniqueList List) | 2283 | (subclass UniqueList List) | ||
| 2274 | (documentation UniqueList "A &%List in which no item appears more than once, | 2284 | (documentation UniqueList "A &%List in which no item appears more than once, | ||
| 2275 | i.e. a &%List for which there are no distinct numbers ?NUMBER1 and ?NUMBER2 | 2285 | i.e. a &%List for which there are no distinct numbers ?NUMBER1 and ?NUMBER2 | ||
| 2276 | such that (&%ListOrderFn ?LIST ?NUMBER1) and (&%ListOrderFn ?LIST ?NUMBER2) | 2286 | such that (&%ListOrderFn ?LIST ?NUMBER1) and (&%ListOrderFn ?LIST ?NUMBER2) | ||
| 2277 | return the same value.") | 2287 | return the same value.") | ||
| 2278 | 2288 | ||||
| 2279 | (<=> | 3a) | 2289 | (=> | |
| 2280 | (instance ?LIST UniqueList) | 2290 | (instance ?LIST UniqueList) | ||
| 2281 | (forall (?NUMBER1 ?NUMBER2) | 2291 | (forall (?NUMBER1 ?NUMBER2) | ||
| 2282 | (=> | 2292 | (=> | ||
| 2283 | (equal (ListOrderFn ?LIST ?NUMBER1) (ListOrderFn ?LIST ?NUMBER2)) | 2293 | (equal (ListOrderFn ?LIST ?NUMBER1) (ListOrderFn ?LIST ?NUMBER2)) | ||
| 2284 | (equal ?NUMBER1 ?NUMBER2)))) | 2294 | (equal ?NUMBER1 ?NUMBER2)))) | ||
| 2285 | 2295 | ||||
| 2286 | (instance NullList List) | 2296 | (instance NullList List) | ||
| 2287 | (documentation NullList "The &%List that has no items. The uniqueness of | 2297 | (documentation NullList "The &%List that has no items. The uniqueness of | ||
| 2288 | &%NullList follows from the extensionality of &%Lists, i.e. the fact that | 2298 | &%NullList follows from the extensionality of &%Lists, i.e. the fact that | ||
| 2289 | two &%Lists with the same items in the same order are identical.") | 2299 | two &%Lists with the same items in the same order are identical.") | ||
| 2290 | 2300 | ||||
| 2291 | (<=> | 2301 | (<=> | ||
| 2292 | (equal ?LIST NullList) | 2302 | (equal ?LIST NullList) | ||
| 2293 | (and | 2303 | (and | ||
| 2294 | (instance ?LIST List) | 2304 | (instance ?LIST List) | ||
| 2295 | (not | 2305 | (not | ||
| 2296 | (exists (?ITEM) | 2306 | (exists (?ITEM) | ||
| 2297 | (inList ?ITEM ?LIST))))) | 2307 | (inList ?ITEM ?LIST))))) | ||
| 2298 | 2308 | ||||
| 2299 | (instance ListFn Function) | 2309 | (instance ListFn Function) | ||
| 2300 | (instance ListFn VariableArityRelation) | 2310 | (instance ListFn VariableArityRelation) | ||
| 2301 | (instance ListFn TotalValuedRelation) | 2311 | (instance ListFn TotalValuedRelation) | ||
| 2302 | (range ListFn List) | 2312 | (range ListFn List) | ||
| 2303 | (documentation ListFn "A &%Function that takes any number of arguments and | 2313 | (documentation ListFn "A &%Function that takes any number of arguments and | ||
| 2304 | returns the &%List containing those arguments in exactly the same order.") | 2314 | returns the &%List containing those arguments in exactly the same order.") | ||
| 2305 | 2315 | ||||
| 2306 | (=> | 2316 | (=> | ||
| 2307 | (exhaustiveDecomposition ?CLASS @ROW) | 2317 | (exhaustiveDecomposition ?CLASS @ROW) | ||
| 2308 | (forall (?OBJ) | 2318 | (forall (?OBJ) | ||
| 2309 | (=> | 2319 | (=> | ||
| 2310 | (instance ?OBJ ?CLASS) | 2320 | (instance ?OBJ ?CLASS) | ||
| 2311 | (exists (?ITEM) | 2321 | (exists (?ITEM) | ||
| 2312 | (and | 2322 | (and | ||
| 2313 | (inList ?ITEM (ListFn @ROW)) | 2323 | (inList ?ITEM (ListFn @ROW)) | ||
| 2314 | (instance ?OBJ ?ITEM)))))) | 2324 | (instance ?OBJ ?ITEM)))))) | ||
| 2315 | 2325 | ||||
| 2316 | (=> | 2326 | (=> | ||
| 2317 | (disjointDecomposition ?CLASS @ROW) | 2327 | (disjointDecomposition ?CLASS @ROW) | ||
| 2318 | (forall (?ITEM) | 2328 | (forall (?ITEM) | ||
| 2319 | (=> | 2329 | (=> | ||
| 2320 | (inList ?ITEM (ListFn @ROW)) | 2330 | (inList ?ITEM (ListFn @ROW)) | ||
| 2321 | (subclass ?ITEM ?CLASS)))) | 2331 | (subclass ?ITEM ?CLASS)))) | ||
| 2322 | 2332 | ||||
| 2323 | (=> | 2333 | (=> | ||
| 2324 | (disjointDecomposition ?CLASS @ROW) | 2334 | (disjointDecomposition ?CLASS @ROW) | ||
| 2325 | (forall (?ITEM1 ?ITEM2) | 2335 | (forall (?ITEM1 ?ITEM2) | ||
| 2326 | (=> | 2336 | (=> | ||
| 2327 | (and | 2337 | (and | ||
| 2328 | (inList ?ITEM1 (ListFn @ROW)) | 2338 | (inList ?ITEM1 (ListFn @ROW)) | ||
| 2329 | (inList ?ITEM2 (ListFn @ROW)) | 2339 | (inList ?ITEM2 (ListFn @ROW)) | ||
| 2330 | (not | 2340 | (not | ||
| 2331 | (equal ?ITEM1 ?ITEM2))) | 2341 | (equal ?ITEM1 ?ITEM2))) | ||
| 2332 | (disjoint ?ITEM1 ?ITEM2)))) | 2342 | (disjoint ?ITEM1 ?ITEM2)))) | ||
| 2333 | 2343 | ||||
| 2334 | (instance ListOrderFn BinaryFunction) | 2344 | (instance ListOrderFn BinaryFunction) | ||
| 2335 | (instance ListOrderFn PartialValuedRelation) | 2345 | (instance ListOrderFn PartialValuedRelation) | ||
| 2336 | (domain ListOrderFn 1 List) | 2346 | (domain ListOrderFn 1 List) | ||
| 2337 | (domain ListOrderFn 2 PositiveInteger) | 2347 | (domain ListOrderFn 2 PositiveInteger) | ||
| 2338 | (range ListOrderFn Entity) | 2348 | (range ListOrderFn Entity) | ||
| 2339 | (documentation ListOrderFn "(&%ListOrderFn ?LIST ?NUMBER) denotes the item | 2349 | (documentation ListOrderFn "(&%ListOrderFn ?LIST ?NUMBER) denotes the item | ||
| 2340 | that is in the ?NUMBER position in the &%List ?LIST. For example, | 2350 | that is in the ?NUMBER position in the &%List ?LIST. For example, | ||
| 2341 | (&%ListOrderFn (&%ListFn &%Monday &%Tuesday &%Wednesday) 2) would return the | 2351 | (&%ListOrderFn (&%ListFn &%Monday &%Tuesday &%Wednesday) 2) would return the | ||
| 2342 | value &%Tuesday.") | 2352 | value &%Tuesday.") | ||
| 2343 | 2353 | ||||
| 2344 | (=> | 2354 | (=> | ||
| 2345 | (and | 2355 | (and | ||
| 2346 | (instance ?LIST1 List) | 2356 | (instance ?LIST1 List) | ||
| 2347 | (instance ?LIST2 List) | 2357 | (instance ?LIST2 List) | ||
| 2348 | (forall (?NUMBER) | 2358 | (forall (?NUMBER) | ||
| 2349 | (equal (ListOrderFn ?LIST1 ?NUMBER) (ListOrderFn ?LIST2 ?NUMBER)))) | 2359 | (equal (ListOrderFn ?LIST1 ?NUMBER) (ListOrderFn ?LIST2 ?NUMBER)))) | ||
| 2350 | (equal ?LIST1 ?LIST2)) | 2360 | (equal ?LIST1 ?LIST2)) | ||
| 2351 | 2361 | ||||
| 2352 | (=> | 2362 | (=> | ||
| 2353 | (and | 2363 | (and | ||
| 2354 | (domain ?REL ?NUMBER ?CLASS) | 2364 | (domain ?REL ?NUMBER ?CLASS) | ||
| 2355 | (holds ?REL @ROW)) | 2365 | (holds ?REL @ROW)) | ||
| 2356 | (instance (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS)) | 2366 | (instance (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS)) | ||
| 2357 | 2367 | ||||
| 2358 | (=> | 2368 | (=> | ||
| 2359 | (and | 2369 | (and | ||
| 2360 | (domainSubclass ?REL ?NUMBER ?CLASS) | 2370 | (domainSubclass ?REL ?NUMBER ?CLASS) | ||
| 2361 | (holds ?REL @ROW)) | 2371 | (holds ?REL @ROW)) | ||
| 2362 | (subclass (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS)) | 2372 | (subclass (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS)) | ||
| 2363 | 2373 | ||||
| 2364 | (instance ListLengthFn UnaryFunction) | 2374 | (instance ListLengthFn UnaryFunction) | ||
| 2365 | (instance ListLengthFn TotalValuedRelation) | 2375 | (instance ListLengthFn TotalValuedRelation) | ||
| 2366 | (domain ListLengthFn 1 List) | 2376 | (domain ListLengthFn 1 List) | ||
| 2367 | (range ListLengthFn NonnegativeInteger) | 2377 | (range ListLengthFn NonnegativeInteger) | ||
| 2368 | (documentation ListLengthFn "A &%Function that takes a &%List as its sole | 2378 | (documentation ListLengthFn "A &%Function that takes a &%List as its sole | ||
| 2369 | argument and returns the number of items in the &%List. For example, | 2379 | argument and returns the number of items in the &%List. For example, | ||
| 2370 | (&%ListLengthFn (&%ListFn &%Monday &%Tuesday &%Wednesday)) would return the | 2380 | (&%ListLengthFn (&%ListFn &%Monday &%Tuesday &%Wednesday)) would return the | ||
| 2371 | value 3.") | 2381 | value 3.") | ||
| 2372 | 2382 | ||||
| 2373 | (=> | 2383 | (=> | ||
| 2374 | (and | 2384 | (and | ||
| 2375 | (equal (ListLengthFn ?LIST) ?NUMBER1) | 2385 | (equal (ListLengthFn ?LIST) ?NUMBER1) | ||
| 2376 | (instance ?LIST List) | 2386 | (instance ?LIST List) | ||
| 2377 | (instance ?NUMBER1 PositiveInteger)) | 2387 | (instance ?NUMBER1 PositiveInteger)) | ||
| 2378 | (forall (?NUMBER2) | 2388 | (forall (?NUMBER2) | ||
| 2379 | (<=> | 2389 | (<=> | ||
| 2380 | (exists (?ITEM) | 2390 | (exists (?ITEM) | ||
| 2381 | (and | 2391 | (and | ||
| 2382 | (equal (ListOrderFn ?LIST ?NUMBER2) ?ITEM) | 2392 | (equal (ListOrderFn ?LIST ?NUMBER2) ?ITEM) | ||
| 2383 | (inList ?ITEM ?LIST))) | 2393 | (inList ?ITEM ?LIST))) | ||
| 2384 | (lessThanOrEqualTo ?NUMBER2 ?NUMBER1)))) | 2394 | (lessThanOrEqualTo ?NUMBER2 ?NUMBER1)))) | ||
| 2385 | 2395 | ||||
| 2386 | (equal (ListLengthFn (ListFn @ROW ?ITEM)) (SuccessorFn (ListLengthFn (ListFn @ROW)))) | 2396 | (equal (ListLengthFn (ListFn @ROW ?ITEM)) (SuccessorFn (ListLengthFn (ListFn @ROW)))) | ||
| 2387 | 2397 | ||||
| 2388 | (equal (ListOrderFn (ListFn @ROW ?ITEM) (ListLengthFn (ListFn @ROW ?ITEM))) ?ITEM) | 2398 | (equal (ListOrderFn (ListFn @ROW ?ITEM) (ListLengthFn (ListFn @ROW ?ITEM))) ?ITEM) | ||
| 2389 | 2399 | ||||
| 2390 | (=> | 2400 | (=> | ||
| 2391 | (valence ?REL ?NUMBER) | 2401 | (valence ?REL ?NUMBER) | ||
| 2392 | (forall (@ROW) | 2402 | (forall (@ROW) | ||
| 2393 | (=> | 2403 | (=> | ||
| 2394 | (holds ?REL @ROW) | 2404 | (holds ?REL @ROW) | ||
| 2395 | (equal (ListLengthFn (ListFn @ROW)) ?NUMBER)))) | 2405 | (equal (ListLengthFn (ListFn @ROW)) ?NUMBER)))) | ||
| 2396 | 2406 | ||||
| 2397 | (=> | 2407 | (=> | ||
| 2398 | (and | 2408 | (and | ||
| 2399 | (equal (ListLengthFn ?LIST1) ?NUMBER) | 2409 | (equal (ListLengthFn ?LIST1) ?NUMBER) | ||
| 2400 | (instance ?LIST List) | 2410 | (instance ?LIST List) | ||
| 2401 | (instance ?NUMBER1 PositiveInteger)) | 2411 | (instance ?NUMBER1 PositiveInteger)) | ||
| 2402 | (exists (?LIST2 ?ITEM) | 2412 | (exists (?LIST2 ?ITEM) | ||
| 2403 | (and | 2413 | (and | ||
| 2404 | (initialList ?LIST1 ?LIST2) | 2414 | (initialList ?LIST1 ?LIST2) | ||
| 2405 | (equal (SuccessorFn ?NUMBER) (ListLengthFn ?LIST2)) | 2415 | (equal (SuccessorFn ?NUMBER) (ListLengthFn ?LIST2)) | ||
| 2406 | (equal (ListOrderFn ?LIST2 (SuccessorFn ?NUMBER)) ?ITEM)))) | 2416 | (equal (ListOrderFn ?LIST2 (SuccessorFn ?NUMBER)) ?ITEM)))) | ||
| 2407 | 2417 | ||||
| 2408 | (instance ListConcatenateFn BinaryFunction) | 2418 | (instance ListConcatenateFn BinaryFunction) | ||
| 2409 | (instance ListConcatenateFn TotalValuedRelation) | 2419 | (instance ListConcatenateFn TotalValuedRelation) | ||
| 2410 | (domain ListConcatenateFn 1 List) | 2420 | (domain ListConcatenateFn 1 List) | ||
| 2411 | (domain ListConcatenateFn 2 List) | 2421 | (domain ListConcatenateFn 2 List) | ||
| 2412 | (range ListConcatenateFn List) | 2422 | (range ListConcatenateFn List) | ||
| 2413 | (documentation ListConcatenateFn "A &%Function that returns the concatenation | 2423 | (documentation ListConcatenateFn "A &%Function that returns the concatenation | ||
| 2414 | of the two &%Lists that are given as arguments. For example, the value of | 2424 | of the two &%Lists that are given as arguments. For example, the value of | ||
| 2415 | (&%ListConcatenateFn (&%ListFn &%Monday &%Tuesday) (&%ListFn &%Wednesday | 2425 | (&%ListConcatenateFn (&%ListFn &%Monday &%Tuesday) (&%ListFn &%Wednesday | ||
| 2416 | &%Thursday)) would be (&%ListFn &%Monday &%Tuesday &%Wednesday &%Thursday).") | 2426 | &%Thursday)) would be (&%ListFn &%Monday &%Tuesday &%Wednesday &%Thursday).") | ||
| 2417 | 2427 | ||||
| 2418 | (<=> | 2428 | (<=> | ||
| 2419 | (equal ?LIST3 (ListConcatenateFn ?LIST1 ?LIST2)) | 2429 | (equal ?LIST3 (ListConcatenateFn ?LIST1 ?LIST2)) | ||
| 2420 | (forall (?NUMBER1 ?NUMBER2) | 2430 | (forall (?NUMBER1 ?NUMBER2) | ||
| 2421 | (=> | 2431 | (=> | ||
| 2422 | (and | 2432 | (and | ||
| 2423 | (lessThanOrEqualTo ?NUMBER1 (ListLengthFn ?LIST1)) | 2433 | (lessThanOrEqualTo ?NUMBER1 (ListLengthFn ?LIST1)) | ||
| 2424 | (lessThanOrEqualTo ?NUMBER2 (ListLengthFn ?LIST2)) | 2434 | (lessThanOrEqualTo ?NUMBER2 (ListLengthFn ?LIST2)) | ||
| 2425 | (instance ?NUMBER1 PositiveInteger) | 2435 | (instance ?NUMBER1 PositiveInteger) | ||
| 2426 | (instance ?NUMBER2 PositiveInteger)) | 2436 | (instance ?NUMBER2 PositiveInteger)) | ||
| 2427 | (and | 2437 | (and | ||
| 2428 | (equal (ListOrderFn ?LIST3 ?NUMBER1) (ListOrderFn ?LIST1 ?NUMBER1)) | 2438 | (equal (ListOrderFn ?LIST3 ?NUMBER1) (ListOrderFn ?LIST1 ?NUMBER1)) | ||
| 2429 | (equal (ListOrderFn ?LIST3 (AdditionFn (ListLengthFn ?LIST1) ?NUMBER2)) (ListOrderFn ?LIST2 ?NUMBER2)))))) | 2439 | (equal (ListOrderFn ?LIST3 (AdditionFn (ListLengthFn ?LIST1) ?NUMBER2)) (ListOrderFn ?LIST2 ?NUMBER2)))))) | ||
| 2430 | 2440 | ||||
| 2431 | (instance inList BinaryPredicate) | 2441 | (instance inList BinaryPredicate) | ||
| 2432 | (instance inList IrreflexiveRelation) | 2442 | (instance inList IrreflexiveRelation) | ||
| 2433 | (instance inList AsymmetricRelation) | 2443 | (instance inList AsymmetricRelation) | ||
| 2434 | (domain inList 1 Entity) | 2444 | (domain inList 1 Entity) | ||
| 2435 | (domain inList 2 List) | 2445 | (domain inList 2 List) | ||
| 2436 | (documentation inList "The analog of &%element and &%instance for &%Lists. | 2446 | (documentation inList "The analog of &%element and &%instance for &%Lists. | ||
| 2437 | (&%inList ?OBJ ?LIST) means that ?OBJ is in the &%List ?LIST. For example, | 2447 | (&%inList ?OBJ ?LIST) means that ?OBJ is in the &%List ?LIST. For example, | ||
| 2438 | (&%inList &%Tuesday (&%ListFn &%Monday &%Tuesday &%Wednesday)) would be true.") | 2448 | (&%inList &%Tuesday (&%ListFn &%Monday &%Tuesday &%Wednesday)) would be true.") | ||
| 2439 | 2449 | ||||
| 2440 | (=> | 2450 | (=> | ||
| 2441 | (inList ?ITEM ?LIST) | 2451 | (inList ?ITEM ?LIST) | ||
| 2442 | (exists (?NUMBER) | 2452 | (exists (?NUMBER) | ||
| 2443 | (equal (ListOrderFn ?LIST ?NUMBER) ?ITEM))) | 2453 | (equal (ListOrderFn ?LIST ?NUMBER) ?ITEM))) | ||
| 2444 | 2454 | ||||
| 2445 | (instance subList BinaryPredicate) | 2455 | (instance subList BinaryPredicate) | ||
| 2446 | (instance subList PartialOrderingRelation) | 2456 | (instance subList PartialOrderingRelation) | ||
| 2447 | (domain subList 1 List) | 2457 | (domain subList 1 List) | ||
| 2448 | (domain subList 2 List) | 2458 | (domain subList 2 List) | ||
| 2449 | (documentation subList "(&%subList ?LIST1 ?LIST2) means that ?LIST1 is a | 2459 | (documentation subList "(&%subList ?LIST1 ?LIST2) means that ?LIST1 is a | ||
| 2450 | sublist of ?LIST2, i.e. every element of ?LIST1 is an element of ?LIST2 and | 2460 | sublist of ?LIST2, i.e. every element of ?LIST1 is an element of ?LIST2 and | ||
| 2451 | the elements that are common to both &%Lists have the same order in both | 2461 | the elements that are common to both &%Lists have the same order in both | ||
| 2452 | &%Lists.") | 2462 | &%Lists.") | ||
| 2453 | 2463 | ||||
| 2454 | (=> | 2464 | (=> | ||
| 2455 | (subList ?LIST1 ?LIST2) | 2465 | (subList ?LIST1 ?LIST2) | ||
| 2456 | (forall (?ITEM) | 2466 | (forall (?ITEM) | ||
| 2457 | (=> | 2467 | (=> | ||
| 2458 | (inList ?ITEM ?LIST1) | 2468 | (inList ?ITEM ?LIST1) | ||
| 2459 | (inList ?ITEM ?LIST2)))) | 2469 | (inList ?ITEM ?LIST2)))) | ||
| 2460 | 2470 | ||||
| 2461 | (=> | 2471 | (=> | ||
| 2462 | (subList ?LIST1 ?LIST2) | 2472 | (subList ?LIST1 ?LIST2) | ||
| 2463 | (exists (?NUMBER3) | 2473 | (exists (?NUMBER3) | ||
| 2464 | (forall (?ITEM) | 2474 | (forall (?ITEM) | ||
| 2465 | (=> | 2475 | (=> | ||
| 2466 | (inList ?ITEM ?LIST1) | 2476 | (inList ?ITEM ?LIST1) | ||
| 2467 | (exists (?NUMBER1 ?NUMBER2) | 2477 | (exists (?NUMBER1 ?NUMBER2) | ||
| 2468 | (and | 2478 | (and | ||
| 2469 | (equal (ListOrderFn ?LIST1 ?NUMBER1) ?ITEM) | 2479 | (equal (ListOrderFn ?LIST1 ?NUMBER1) ?ITEM) | ||
| 2470 | (equal (ListOrderFn ?LIST2 ?NUMBER2) ?ITEM) | 2480 | (equal (ListOrderFn ?LIST2 ?NUMBER2) ?ITEM) | ||
| 2471 | (equal ?NUMBER2 (AdditionFn ?NUMBER1 ?NUMBER3)))))))) | 2481 | (equal ?NUMBER2 (AdditionFn ?NUMBER1 ?NUMBER3)))))))) | ||
| 2472 | 2482 | ||||
| 2473 | (instance initialList BinaryPredicate) | 2483 | (instance initialList BinaryPredicate) | ||
| 1 | 2484 | (instance initialList PartialOrderingRelation) | |||
| 2474 | (subrelation initialList subList) | 2485 | (subrelation initialList subList) | ||
| 2475 | (documentation initialList "(&%initialList ?LIST1 ?LIST2) means that ?LIST1 | 2486 | (documentation initialList "(&%initialList ?LIST1 ?LIST2) means that ?LIST1 | ||
| 2476 | is a &%subList of ?LIST2 and (&%ListOrderFn ?LIST1 ?NUMBER) returns the same | 2487 | is a &%subList of ?LIST2 and (&%ListOrderFn ?LIST1 ?NUMBER) returns the same | ||
| 2477 | value as (&%ListOrderFn ?LIST2 ?NUMBER) for all of the values of ?NUMBER over | 2488 | value as (&%ListOrderFn ?LIST2 ?NUMBER) for all of the values of ?NUMBER over | ||
| 2478 | which (&%ListOrderFn ?LIST1 ?NUMBER) is defined.") | 2489 | which (&%ListOrderFn ?LIST1 ?NUMBER) is defined.") | ||
| 2479 | 2490 | ||||
| 2480 | (=> | 2491 | (=> | ||
| 2481 | (initialList ?LIST1 ?LIST2) | 2492 | (initialList ?LIST1 ?LIST2) | ||
| 2482 | (forall (?NUMBER1 ?NUMBER2) | 2493 | (forall (?NUMBER1 ?NUMBER2) | ||
| 2483 | (=> | 2494 | (=> | ||
| 2484 | (and | 2495 | (and | ||
| 2485 | (equal (ListLengthFn ?LIST1) ?NUMBER1) | 2496 | (equal (ListLengthFn ?LIST1) ?NUMBER1) | ||
| 2486 | (lessThanOrEqualTo ?NUMBER2 ?NUMBER1)) | 2497 | (lessThanOrEqualTo ?NUMBER2 ?NUMBER1)) | ||
| 2487 | (equal (ListOrderFn ?LIST1 ?NUMBER2) (ListOrderFn ?LIST2 ?NUMBER2))))) | 2498 | (equal (ListOrderFn ?LIST1 ?NUMBER2) (ListOrderFn ?LIST2 ?NUMBER2))))) | ||
| 2488 | 2499 | ||||
| 2489 | (initialList (ListFn @ROW) (ListFn @ROW ?ITEM)) | 2500 | (initialList (ListFn @ROW) (ListFn @ROW ?ITEM)) | ||
| 2490 | 2501 | ||||
| 2491 | (subclass Predicate Relation) | 2502 | (subclass Predicate Relation) | ||
| 2492 | (instance Predicate InheritableRelation) | 2503 | (instance Predicate InheritableRelation) | ||
| 2493 | (documentation Predicate "A &%Predicate is a sentence-forming &%Relation. | 2504 | (documentation Predicate "A &%Predicate is a sentence-forming &%Relation. | ||
| 2494 | Each tuple in the &%Relation is a finite, ordered sequence of objects. | 2505 | Each tuple in the &%Relation is a finite, ordered sequence of objects. | ||
| 2495 | The fact that a particular tuple is an element of a &%Predicate is denoted | 2506 | The fact that a particular tuple is an element of a &%Predicate is denoted | ||
| 2496 | by '(*predicate* arg_1 arg_2 .. arg_n)', where the arg_i are the | 2507 | by '(*predicate* arg_1 arg_2 .. arg_n)', where the arg_i are the | ||
| 2497 | objects so related. In the case of &%BinaryPredicates, the fact can | 2508 | objects so related. In the case of &%BinaryPredicates, the fact can | ||
| 2498 | be read as `arg_1 is *predicate* arg_2' or `a *predicate* of | 2509 | be read as `arg_1 is *predicate* arg_2' or `a *predicate* of | ||
| 2499 | arg_1 is arg_2'.") | 2510 | arg_1 is arg_2'.") | ||
| 2500 | 2511 | ||||
| 2501 | (subclass Function SingleValuedRelation) | 2512 | (subclass Function SingleValuedRelation) | ||
| 2502 | (instance Function InheritableRelation) | 2513 | (instance Function InheritableRelation) | ||
| 2503 | (documentation Function "A &%Function is a term-forming &%Relation that | 2514 | (documentation Function "A &%Function is a term-forming &%Relation that | ||
| 2504 | maps from a n-tuple of arguments to a range and that associates this | 2515 | maps from a n-tuple of arguments to a range and that associates this | ||
| 2505 | n-tuple with at most one range element. Note that the range is a &%SetOrClass, | 2516 | n-tuple with at most one range element. Note that the range is a &%SetOrClass, | ||
| 2506 | and each element of the range is an instance of the &%SetOrClass.") | 2517 | and each element of the range is an instance of the &%SetOrClass.") | ||
| 2507 | 2518 | ||||
| 2508 | (subclass UnaryFunction Function) | 2519 | (subclass UnaryFunction Function) | ||
| 2509 | (subclass UnaryFunction BinaryRelation) | 2520 | (subclass UnaryFunction BinaryRelation) | ||
| 2510 | (instance UnaryFunction InheritableRelation) | 2521 | (instance UnaryFunction InheritableRelation) | ||
| 2511 | (documentation UnaryFunction "The &%Class of &%Functions that require a | 2522 | (documentation UnaryFunction "The &%Class of &%Functions that require a | ||
| 2512 | single argument.") | 2523 | single argument.") | ||
| 2513 | 2524 | ||||
| 2514 | (=> | 2525 | (=> | ||
| 2515 | (instance ?FUNCTION UnaryFunction) | 2526 | (instance ?FUNCTION UnaryFunction) | ||
| 2516 | (valence ?FUNCTION 1)) | 2527 | (valence ?FUNCTION 1)) | ||
| 2517 | 2528 | ||||
| 2518 | (subclass OneToOneFunction UnaryFunction) | 2529 | (subclass OneToOneFunction UnaryFunction) | ||
| 2519 | (documentation OneToOneFunction "The &%Class of &%UnaryFunctions which | 2530 | (documentation OneToOneFunction "The &%Class of &%UnaryFunctions which | ||
| 2520 | are one to one. A function F is one to one just in case for all X, Y in the | 2531 | are one to one. A function F is one to one just in case for all X, Y in the | ||
| 2521 | domain of F, if X is not identical to Y, then F(X) is not identical to F(Y).") | 2532 | domain of F, if X is not identical to Y, then F(X) is not identical to F(Y).") | ||
| 2522 | 2533 | ||||
| 2523 | (=> | 2534 | (=> | ||
| 2524 | (instance ?FUN OneToOneFunction) | 2535 | (instance ?FUN OneToOneFunction) | ||
| 2525 | (forall (?ARG1 ?ARG2) | 2536 | (forall (?ARG1 ?ARG2) | ||
| 2526 | (=> | 2537 | (=> | ||
| 2527 | (and | 2538 | (and | ||
| 2528 | (domain ?FUN 1 ?CLASS) | 2539 | (domain ?FUN 1 ?CLASS) | ||
| 2529 | (instance ?ARG1 ?CLASS) | 2540 | (instance ?ARG1 ?CLASS) | ||
| 2530 | (instance ?ARG2 ?CLASS) | 2541 | (instance ?ARG2 ?CLASS) | ||
| 2531 | (not (equal ?ARG1 ?ARG2))) | 2542 | (not (equal ?ARG1 ?ARG2))) | ||
| 2532 | (not (equal (AssignmentFn ?FUN ?ARG1) (AssignmentFn ?FUN ?ARG2)))))) | 2543 | (not (equal (AssignmentFn ?FUN ?ARG1) (AssignmentFn ?FUN ?ARG2)))))) | ||
| 2533 | 2544 | ||||
| 2534 | (subclass SequenceFunction OneToOneFunction) | 2545 | (subclass SequenceFunction OneToOneFunction) | ||
| 2535 | (documentation SequenceFunction "The &%Class of &%OneToOneFunctions whose range | 2546 | (documentation SequenceFunction "The &%Class of &%OneToOneFunctions whose range | ||
| 2536 | is a subclass of the &%PositiveIntegers.") | 2547 | is a subclass of the &%PositiveIntegers.") | ||
| 2537 | 2548 | ||||
| 2538 | (=> | 2549 | (=> | ||
| 2539 | (and | 2550 | (and | ||
| 2540 | (instance ?SEQ SequenceFunction) | 2551 | (instance ?SEQ SequenceFunction) | ||
| 2541 | (range ?SEQ ?CLASS)) | 2552 | (range ?SEQ ?CLASS)) | ||
| 2542 | (subclass ?CLASS Integer)) | 2553 | (subclass ?CLASS Integer)) | ||
| 2543 | 2554 | ||||
| 2544 | (subclass BinaryFunction Function) | 2555 | (subclass BinaryFunction Function) | ||
| 2545 | (subclass BinaryFunction TernaryRelation) | 2556 | (subclass BinaryFunction TernaryRelation) | ||
| 2546 | (instance BinaryFunction InheritableRelation) | 2557 | (instance BinaryFunction InheritableRelation) | ||
| 2547 | (documentation BinaryFunction "The &%Class of &%Functions that require | 2558 | (documentation BinaryFunction "The &%Class of &%Functions that require | ||
| 2548 | two arguments.") | 2559 | two arguments.") | ||
| 2549 | 2560 | ||||
| 2550 | (=> | 2561 | (=> | ||
| 2551 | (instance ?FUNCTION BinaryFunction) | 2562 | (instance ?FUNCTION BinaryFunction) | ||
| 2552 | (valence ?FUNCTION 2)) | 2563 | (valence ?FUNCTION 2)) | ||
| 2553 | 2564 | ||||
| 2554 | (subclass AssociativeFunction BinaryFunction) | 2565 | (subclass AssociativeFunction BinaryFunction) | ||
| 2555 | (documentation AssociativeFunction "A &%BinaryFunction is associative if | 2566 | (documentation AssociativeFunction "A &%BinaryFunction is associative if | ||
| 2556 | bracketing has no effect on the value returned by the &%Function. More | 2567 | bracketing has no effect on the value returned by the &%Function. More | ||
| 2557 | precisely, a &%Function ?FUNCTION is associative just in case | 2568 | precisely, a &%Function ?FUNCTION is associative just in case | ||
| 2558 | (?FUNCTION ?INST1 (?FUNCTION ?INST2 ?INST3)) is equal to | 2569 | (?FUNCTION ?INST1 (?FUNCTION ?INST2 ?INST3)) is equal to | ||
| 2559 | (?FUNCTION (?FUNCTION ?INST1 ?INST2) ?INST3), for all ?INST1, ?INST2, | 2570 | (?FUNCTION (?FUNCTION ?INST1 ?INST2) ?INST3), for all ?INST1, ?INST2, | ||
| 2560 | and ?INST3.") | 2571 | and ?INST3.") | ||
| 2561 | 2572 | ||||
| 2562 | (=> | 2573 | (=> | ||
| 2563 | (instance ?FUNCTION AssociativeFunction) | 2574 | (instance ?FUNCTION AssociativeFunction) | ||
| 2564 | (forall (?INST1 ?INST2 ?INST3) | 2575 | (forall (?INST1 ?INST2 ?INST3) | ||
| 2565 | (=> | 2576 | (=> | ||
| 2566 | (and | 2577 | (and | ||
| 2567 | (domain ?FUNCTION 1 ?CLASS) | 2578 | (domain ?FUNCTION 1 ?CLASS) | ||
| 2568 | (instance ?INST1 ?CLASS) | 2579 | (instance ?INST1 ?CLASS) | ||
| 2569 | (instance ?INST2 ?CLASS) | 2580 | (instance ?INST2 ?CLASS) | ||
| 2570 | (instance ?INST3 ?CLASS)) | 2581 | (instance ?INST3 ?CLASS)) | ||
| 2571 | (equal (AssignmentFn ?FUNCTION ?INST1 (AssignmentFn ?FUNCTION ?INST2 ?INST3)) | 2582 | (equal (AssignmentFn ?FUNCTION ?INST1 (AssignmentFn ?FUNCTION ?INST2 ?INST3)) | ||
| 2572 | (AssignmentFn ?FUNCTION (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?INST3))))) | 2583 | (AssignmentFn ?FUNCTION (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?INST3))))) | ||
| 2573 | 2584 | ||||
| 2574 | (subclass CommutativeFunction BinaryFunction) | 2585 | (subclass CommutativeFunction BinaryFunction) | ||
| 2575 | (documentation CommutativeFunction "A &%BinaryFunction is commutative if | 2586 | (documentation CommutativeFunction "A &%BinaryFunction is commutative if | ||
| 2576 | the ordering of the arguments of the function has no effect on the value | 2587 | the ordering of the arguments of the function has no effect on the value | ||
| 2577 | returned by the function. More precisely, a function ?FUNCTION is | 2588 | returned by the function. More precisely, a function ?FUNCTION is | ||
| 2578 | commutative just in case (?FUNCTION ?INST1 ?INST2) is equal to (?FUNCTION | 2589 | commutative just in case (?FUNCTION ?INST1 ?INST2) is equal to (?FUNCTION | ||
| 2579 | ?INST2 ?INST1), for all ?INST1 and ?INST2.") | 2590 | ?INST2 ?INST1), for all ?INST1 and ?INST2.") | ||
| 2580 | 2591 | ||||
| 2581 | (=> | 2592 | (=> | ||
| 2582 | (instance ?FUNCTION CommutativeFunction) | 2593 | (instance ?FUNCTION CommutativeFunction) | ||
| 2583 | (forall (?INST1 ?INST2) | 2594 | (forall (?INST1 ?INST2) | ||
| 2584 | (=> | 2595 | (=> | ||
| 2585 | (and | 2596 | (and | ||
| 2586 | (domain ?FUNCTION 1 ?CLASS) | 2597 | (domain ?FUNCTION 1 ?CLASS) | ||
| 2587 | (instance ?INST1 ?CLASS) | 2598 | (instance ?INST1 ?CLASS) | ||
| 2588 | (instance ?INST2 ?CLASS)) | 2599 | (instance ?INST2 ?CLASS)) | ||
| 2589 | (equal (AssignmentFn ?FUNCTION ?INST1 ?INST2) | 2600 | (equal (AssignmentFn ?FUNCTION ?INST1 ?INST2) | ||
| 2590 | (AssignmentFn ?FUNCTION ?INST2 ?INST1))))) | 2601 | (AssignmentFn ?FUNCTION ?INST2 ?INST1))))) | ||
| 2591 | 2602 | ||||
| 2592 | (subclass TernaryFunction Function) | 2603 | (subclass TernaryFunction Function) | ||
| 2593 | (subclass TernaryFunction QuaternaryRelation) | 2604 | (subclass TernaryFunction QuaternaryRelation) | ||
| 2594 | (instance TernaryFunction InheritableRelation) | 2605 | (instance TernaryFunction InheritableRelation) | ||
| 2595 | (documentation TernaryFunction "The &%Class of &%Functions that require | 2606 | (documentation TernaryFunction "The &%Class of &%Functions that require | ||
| 2596 | exactly three arguments.") | 2607 | exactly three arguments.") | ||
| 2597 | 2608 | ||||
| 2598 | (=> | 2609 | (=> | ||
| 2599 | (instance ?FUNCTION TernaryFunction) | 2610 | (instance ?FUNCTION TernaryFunction) | ||
| 2600 | (valence ?FUNCTION 3)) | 2611 | (valence ?FUNCTION 3)) | ||
| 2601 | 2612 | ||||
| 2602 | (subclass QuaternaryFunction Function) | 2613 | (subclass QuaternaryFunction Function) | ||
| 2603 | (subclass QuaternaryFunction QuintaryRelation) | 2614 | (subclass QuaternaryFunction QuintaryRelation) | ||
| 2604 | (instance QuaternaryFunction InheritableRelation) | 2615 | (instance QuaternaryFunction InheritableRelation) | ||
| 2605 | (documentation QuaternaryFunction "The &%Class of &%Functions that require | 2616 | (documentation QuaternaryFunction "The &%Class of &%Functions that require | ||
| 2606 | exactly four arguments.") | 2617 | exactly four arguments.") | ||
| 2607 | 2618 | ||||
| 2608 | (=> | 2619 | (=> | ||
| 2609 | (instance ?FUNCTION QuaternaryFunction) | 2620 | (instance ?FUNCTION QuaternaryFunction) | ||
| 2610 | (valence ?FUNCTION 4)) | 2621 | (valence ?FUNCTION 4)) | ||
| 2611 | 2622 | ||||
| 2612 | (subclass ContinuousFunction Function) | 2623 | (subclass ContinuousFunction Function) | ||
| 2613 | (documentation ContinuousFunction "&%Functions which are continuous. | 2624 | (documentation ContinuousFunction "&%Functions which are continuous. | ||
| 2614 | This concept is taken as primitive until representations for limits | 2625 | This concept is taken as primitive until representations for limits | ||
| 2615 | are devised.") | 2626 | are devised.") | ||
| 2616 | 2627 | ||||
| 2617 | (subclass LogicalOperator Predicate) | 2628 | (subclass LogicalOperator Predicate) | ||
| 2618 | (documentation LogicalOperator "This &%Class currently comprises all | 2629 | (documentation LogicalOperator "This &%Class currently comprises all | ||
| 2619 | of the logical operators (viz. 'and', 'or', 'not', '=>', and '<=>').") | 2630 | of the logical operators (viz. 'and', 'or', 'not', '=>', and '<=>').") | ||
| 2620 | 2631 | ||||
| 2621 | (subclass BinaryPredicate Predicate) | 2632 | (subclass BinaryPredicate Predicate) | ||
| 2622 | (subclass BinaryPredicate BinaryRelation) | 2633 | (subclass BinaryPredicate BinaryRelation) | ||
| 2623 | (instance BinaryPredicate InheritableRelation) | 2634 | (instance BinaryPredicate InheritableRelation) | ||
| 2624 | (documentation BinaryPredicate "A &%Predicate relating two items - its | 2635 | (documentation BinaryPredicate "A &%Predicate relating two items - its | ||
| 2625 | valence is two.") | 2636 | valence is two.") | ||
| 2626 | 2637 | ||||
| 2627 | (=> | 2638 | (=> | ||
| 2628 | (instance ?REL BinaryPredicate) | 2639 | (instance ?REL BinaryPredicate) | ||
| 2629 | (valence ?REL 2)) | 2640 | (valence ?REL 2)) | ||
| 2630 | 2641 | ||||
| 2631 | (subclass TernaryPredicate Predicate) | 2642 | (subclass TernaryPredicate Predicate) | ||
| 2632 | (subclass TernaryPredicate TernaryRelation) | 2643 | (subclass TernaryPredicate TernaryRelation) | ||
| 2633 | (instance TernaryPredicate InheritableRelation) | 2644 | (instance TernaryPredicate InheritableRelation) | ||
| 2634 | (documentation TernaryPredicate "The &%Class of &%Predicates that require | 2645 | (documentation TernaryPredicate "The &%Class of &%Predicates that require | ||
| 2635 | exactly three arguments.") | 2646 | exactly three arguments.") | ||
| 2636 | 2647 | ||||
| 2637 | (=> | 2648 | (=> | ||
| 2638 | (instance ?REL TernaryPredicate) | 2649 | (instance ?REL TernaryPredicate) | ||
| 2639 | (valence ?REL 3)) | 2650 | (valence ?REL 3)) | ||
| 2640 | 2651 | ||||
| 2641 | (subclass QuaternaryPredicate Predicate) | 2652 | (subclass QuaternaryPredicate Predicate) | ||
| 2642 | (subclass QuaternaryPredicate QuaternaryRelation) | 2653 | (subclass QuaternaryPredicate QuaternaryRelation) | ||
| 2643 | (instance QuaternaryPredicate InheritableRelation) | 2654 | (instance QuaternaryPredicate InheritableRelation) | ||
| 2644 | (documentation QuaternaryPredicate "The &%Class of &%Predicates that | 2655 | (documentation QuaternaryPredicate "The &%Class of &%Predicates that | ||
| 2645 | require four arguments.") | 2656 | require four arguments.") | ||
| 2646 | 2657 | ||||
| 2647 | (=> | 2658 | (=> | ||
| 2648 | (instance ?REL QuaternaryPredicate) | 2659 | (instance ?REL QuaternaryPredicate) | ||
| 2649 | (valence ?REL 4)) | 2660 | (valence ?REL 4)) | ||
| 2650 | 2661 | ||||
| 2651 | (subclass QuintaryPredicate Predicate) | 2662 | (subclass QuintaryPredicate Predicate) | ||
| 2652 | (subclass QuintaryPredicate QuintaryRelation) | 2663 | (subclass QuintaryPredicate QuintaryRelation) | ||
| 2653 | (instance QuintaryPredicate InheritableRelation) | 2664 | (instance QuintaryPredicate InheritableRelation) | ||
| 2654 | (documentation QuintaryPredicate "The &%Class of &%Predicates that | 2665 | (documentation QuintaryPredicate "The &%Class of &%Predicates that | ||
| 2655 | require five arguments.") | 2666 | require five arguments.") | ||
| 2656 | 2667 | ||||
| 2657 | (=> | 2668 | (=> | ||
| 2658 | (instance ?REL QuintaryPredicate) | 2669 | (instance ?REL QuintaryPredicate) | ||
| 2659 | (valence ?REL 5)) | 2670 | (valence ?REL 5)) | ||
| 2660 | 2671 | ||||
| 2661 | (subclass VariableArityRelation Relation) | 2672 | (subclass VariableArityRelation Relation) | ||
| 2662 | (documentation VariableArityRelation "The &%Class of &%Relations that | 2673 | (documentation VariableArityRelation "The &%Class of &%Relations that | ||
| 2663 | do not have a fixed number of arguments.") | 2674 | do not have a fixed number of arguments.") | ||
| 2664 | 2675 | ||||
| 2665 | (=> | 2676 | (=> | ||
| 2666 | (instance ?REL VariableArityRelation) | 2677 | (instance ?REL VariableArityRelation) | ||
| 2667 | (not | 2678 | (not | ||
| 2668 | (exists (?INT) | 2679 | (exists (?INT) | ||
| 2669 | (valence ?REL ?INT)))) | 2680 | (valence ?REL ?INT)))) | ||
| 2670 | 2681 | ||||
| 2671 | (subclass RelationExtendedToQuantities Relation) | 2682 | (subclass RelationExtendedToQuantities Relation) | ||
| 2672 | (instance RelationExtendedToQuantities InheritableRelation) | 2683 | (instance RelationExtendedToQuantities InheritableRelation) | ||
| 2673 | (documentation RelationExtendedToQuantities "A | 2684 | (documentation RelationExtendedToQuantities "A | ||
| 2674 | &%RelationExtendedToQuantities is a &%Relation that, when it is true on | 2685 | &%RelationExtendedToQuantities is a &%Relation that, when it is true on | ||
| 2675 | a sequence of arguments that are &%RealNumbers, it is also true on a | 2686 | a sequence of arguments that are &%RealNumbers, it is also true on a | ||
| 2676 | sequence of &%ConstantQuantites with those magnitudes in some unit of | 2687 | sequence of &%ConstantQuantites with those magnitudes in some unit of | ||
| 2677 | measure. For example, the &%lessThan relation is extended to quantities. | 2688 | measure. For example, the &%lessThan relation is extended to quantities. | ||
| 2678 | This means that for all pairs of quantities ?QUANTITY1 and ?QUANTITY2, | 2689 | This means that for all pairs of quantities ?QUANTITY1 and ?QUANTITY2, | ||
| 2679 | (lessThan ?QUANTITY1 ?QUANTITY2) if and only if, for some ?NUMBER1, | 2690 | (lessThan ?QUANTITY1 ?QUANTITY2) if and only if, for some ?NUMBER1, | ||
| 2680 | ?NUMBER2, and ?UNIT, ?QUANTITY1 = (MeasureFn ?NUMBER1 ?UNIT), | 2691 | ?NUMBER2, and ?UNIT, ?QUANTITY1 = (MeasureFn ?NUMBER1 ?UNIT), | ||
| 2681 | ?QUANTITY2 = (MeasureFn ?NUMBER2 ?UNIT), and (lessThan ?NUMBER1 ?NUMBER2), | 2692 | ?QUANTITY2 = (MeasureFn ?NUMBER2 ?UNIT), and (lessThan ?NUMBER1 ?NUMBER2), | ||
| 2682 | for all units ?UNIT on which ?QUANTITY1 and ?QUANTITY2 can be measured. | 2693 | for all units ?UNIT on which ?QUANTITY1 and ?QUANTITY2 can be measured. | ||
| 2683 | Note that, when a &%RelationExtendedToQuantities is extended from | 2694 | Note that, when a &%RelationExtendedToQuantities is extended from | ||
| 2684 | &%RealNumbers to &%ConstantQuantities, the &%ConstantQuantities must be | 2695 | &%RealNumbers to &%ConstantQuantities, the &%ConstantQuantities must be | ||
| 2685 | measured along the same physical dimension.") | 2696 | measured along the same physical dimension.") | ||
| 2686 | 2697 | ||||
| 2687 | (subclass Proposition Abstract) | 2698 | (subclass Proposition Abstract) | ||
| 2688 | (documentation Proposition "&%Propositions are &%Abstract entities that | 2699 | (documentation Proposition "&%Propositions are &%Abstract entities that | ||
| 2689 | express a complete thought or a set of such thoughts. As an example, | 2700 | express a complete thought or a set of such thoughts. As an example, | ||
| 2690 | the formula '(instance Yojo Cat)' expresses the &%Proposition that the | 2701 | the formula '(instance Yojo Cat)' expresses the &%Proposition that the | ||
| 2691 | entity named Yojo is an element of the &%Class of Cats. Note that | 2702 | entity named Yojo is an element of the &%Class of Cats. Note that | ||
| 2692 | propositions are not restricted to the content expressed by individual | 2703 | propositions are not restricted to the content expressed by individual | ||
| 2693 | sentences of a &%Language. They may encompass the content expressed by | 2704 | sentences of a &%Language. They may encompass the content expressed by | ||
| 2694 | theories, books, and even whole libraries. It is important to distinguish | 2705 | theories, books, and even whole libraries. It is important to distinguish | ||
| 2695 | &%Propositions from the &%ContentBearingObjects that express them. A | 2706 | &%Propositions from the &%ContentBearingObjects that express them. A | ||
| 2696 | &%Proposition is a piece of information, e.g. that the cat is on the mat, | 2707 | &%Proposition is a piece of information, e.g. that the cat is on the mat, | ||
| 2697 | but a &%ContentBearingObject is an &%Object that represents this information. | 2708 | but a &%ContentBearingObject is an &%Object that represents this information. | ||
| 2698 | A &%Proposition is an abstraction that may have multiple representations: | 2709 | A &%Proposition is an abstraction that may have multiple representations: | ||
| 2699 | strings, sounds, icons, etc. For example, the &%Proposition that the cat is | 2710 | strings, sounds, icons, etc. For example, the &%Proposition that the cat is | ||
| 2700 | on the mat is represented here as a string of graphical characters displayed | 2711 | on the mat is represented here as a string of graphical characters displayed | ||
| 2701 | on a monitor and/or printed on paper, but it can be represented by a sequence | 2712 | on a monitor and/or printed on paper, but it can be represented by a sequence | ||
| 2702 | of sounds or by some non-latin alphabet or by some cryptographic form") | 2713 | of sounds or by some non-latin alphabet or by some cryptographic form") | ||
| 2703 | 2714 | ||||
| 2704 | (instance closedOn BinaryPredicate) | 2715 | (instance closedOn BinaryPredicate) | ||
| 2705 | (instance closedOn AsymmetricRelation) | 2716 | (instance closedOn AsymmetricRelation) | ||
| 2706 | (domain closedOn 1 Function) | 2717 | (domain closedOn 1 Function) | ||
| 2707 | (domain closedOn 2 SetOrClass) | 2718 | (domain closedOn 2 SetOrClass) | ||
| 2708 | (documentation closedOn "A &%BinaryFunction is closed on a &%SetOrClass | 2719 | (documentation closedOn "A &%BinaryFunction is closed on a &%SetOrClass | ||
| 2709 | if it is defined for all instances of the &%SetOrClass and its value is | 2720 | if it is defined for all instances of the &%SetOrClass and its value is | ||
| 2710 | always an instance of the &%SetOrClass.") | 2721 | always an instance of the &%SetOrClass.") | ||
| 2711 | 2722 | ||||
| 2712 | (=> | 2723 | (=> | ||
| 2713 | (and | 2724 | (and | ||
| 2714 | (closedOn ?FUNCTION ?CLASS) | 2725 | (closedOn ?FUNCTION ?CLASS) | ||
| 2715 | (instance ?FUNCTION UnaryFunction)) | 2726 | (instance ?FUNCTION UnaryFunction)) | ||
| 2716 | (forall (?INST) | 2727 | (forall (?INST) | ||
| 2717 | (=> | 2728 | (=> | ||
| 2718 | (instance ?INST ?CLASS) | 2729 | (instance ?INST ?CLASS) | ||
| 2719 | (instance (AssignmentFn ?FUNCTION ?INST) ?CLASS)))) | 2730 | (instance (AssignmentFn ?FUNCTION ?INST) ?CLASS)))) | ||
| 2720 | 2731 | ||||
| 2721 | (=> | 2732 | (=> | ||
| 2722 | (and | 2733 | (and | ||
| 2723 | (closedOn ?FUNCTION ?CLASS) | 2734 | (closedOn ?FUNCTION ?CLASS) | ||
| 2724 | (instance ?FUNCTION BinaryFunction)) | 2735 | (instance ?FUNCTION BinaryFunction)) | ||
| 2725 | (forall (?INST1 ?INST2) | 2736 | (forall (?INST1 ?INST2) | ||
| 2726 | (=> | 2737 | (=> | ||
| 2727 | (and | 2738 | (and | ||
| 2728 | (instance ?INST1 ?CLASS) | 2739 | (instance ?INST1 ?CLASS) | ||
| 2729 | (instance ?INST2 ?CLASS)) | 2740 | (instance ?INST2 ?CLASS)) | ||
| 2730 | (instance (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?CLASS)))) | 2741 | (instance (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?CLASS)))) | ||
| 2731 | 2742 | ||||
| 2732 | (instance reflexiveOn BinaryPredicate) | 2743 | (instance reflexiveOn BinaryPredicate) | ||
| 2733 | (instance reflexiveOn AsymmetricRelation) | 2744 | (instance reflexiveOn AsymmetricRelation) | ||
| 2734 | (domain reflexiveOn 1 BinaryRelation) | 2745 | (domain reflexiveOn 1 BinaryRelation) | ||
| 2735 | (domain reflexiveOn 2 SetOrClass) | 2746 | (domain reflexiveOn 2 SetOrClass) | ||
| 2736 | (documentation reflexiveOn "A &%BinaryRelation is reflexive on a | 2747 | (documentation reflexiveOn "A &%BinaryRelation is reflexive on a | ||
| 2737 | &%SetOrClass only if every instance of the &%SetOrClass bears the relation | 2748 | &%SetOrClass only if every instance of the &%SetOrClass bears the relation | ||
| 2738 | to itself.") | 2749 | to itself.") | ||
| 2739 | 2750 | ||||
| 2740 | (=> | 2751 | (=> | ||
| 2741 | (reflexiveOn ?RELATION ?CLASS) | 2752 | (reflexiveOn ?RELATION ?CLASS) | ||
| 2742 | (forall (?INST) | 2753 | (forall (?INST) | ||
| 2743 | (=> | 2754 | (=> | ||
| 2744 | (instance ?INST ?CLASS) | 2755 | (instance ?INST ?CLASS) | ||
| 2745 | (holds ?RELATION ?INST ?INST)))) | 2756 | (holds ?RELATION ?INST ?INST)))) | ||
| 2746 | 2757 | ||||
| 2747 | (instance irreflexiveOn BinaryPredicate) | 2758 | (instance irreflexiveOn BinaryPredicate) | ||
| 2748 | (instance irreflexiveOn AsymmetricRelation) | 2759 | (instance irreflexiveOn AsymmetricRelation) | ||
| 2749 | (domain irreflexiveOn 1 BinaryRelation) | 2760 | (domain irreflexiveOn 1 BinaryRelation) | ||
| 2750 | (domain irreflexiveOn 2 SetOrClass) | 2761 | (domain irreflexiveOn 2 SetOrClass) | ||
| 2751 | (documentation irreflexiveOn "A &%BinaryRelation is irreflexive on a | 2762 | (documentation irreflexiveOn "A &%BinaryRelation is irreflexive on a | ||
| 2752 | &%SetOrClass only if no instance of the &%SetOrClass bears the relation to | 2763 | &%SetOrClass only if no instance of the &%SetOrClass bears the relation to | ||
| 2753 | itself.") | 2764 | itself.") | ||
| 2754 | 2765 | ||||
| 2755 | (=> | 2766 | (=> | ||
| 2756 | (irreflexiveOn ?RELATION ?CLASS) | 2767 | (irreflexiveOn ?RELATION ?CLASS) | ||
| 2757 | (forall (?INST) | 2768 | (forall (?INST) | ||
| 2758 | (=> | 2769 | (=> | ||
| 2759 | (instance ?INST ?CLASS) | 2770 | (instance ?INST ?CLASS) | ||
| 2760 | (not | 2771 | (not | ||
| 2761 | (holds ?RELATION ?INST ?INST))))) | 2772 | (holds ?RELATION ?INST ?INST))))) | ||
| 2762 | 2773 | ||||
| 2763 | (instance partialOrderingOn BinaryPredicate) | 2774 | (instance partialOrderingOn BinaryPredicate) | ||
| 2764 | (instance partialOrderingOn AsymmetricRelation) | 2775 | (instance partialOrderingOn AsymmetricRelation) | ||
| 2765 | (domain partialOrderingOn 1 BinaryRelation) | 2776 | (domain partialOrderingOn 1 BinaryRelation) | ||
| 2766 | (domain partialOrderingOn 2 SetOrClass) | 2777 | (domain partialOrderingOn 2 SetOrClass) | ||
| 2767 | (documentation partialOrderingOn "A &%BinaryRelation is a partial | 2778 | (documentation partialOrderingOn "A &%BinaryRelation is a partial | ||
| 2768 | ordering on a &%SetOrClass only if the relation is &%reflexiveOn the | 2779 | ordering on a &%SetOrClass only if the relation is &%reflexiveOn the | ||
| 2769 | &%SetOrClass, and it is both an &%AntisymmetricRelation, and a | 2780 | &%SetOrClass, and it is both an &%AntisymmetricRelation, and a | ||
| 2770 | &%TransitiveRelation.") | 2781 | &%TransitiveRelation.") | ||
| 2771 | 2782 | ||||
| 2772 | (=> | 2783 | (=> | ||
| 2773 | (partialOrderingOn ?RELATION ?CLASS) | 2784 | (partialOrderingOn ?RELATION ?CLASS) | ||
| 2774 | (and | 2785 | (and | ||
| 2775 | (reflexiveOn ?RELATION ?CLASS) | 2786 | (reflexiveOn ?RELATION ?CLASS) | ||
| 2776 | (instance ?RELATION TransitiveRelation) | 2787 | (instance ?RELATION TransitiveRelation) | ||
| 2777 | (instance ?RELATION AntisymmetricRelation))) | 2788 | (instance ?RELATION AntisymmetricRelation))) | ||
| 2778 | 2789 | ||||
| 2779 | (instance totalOrderingOn BinaryPredicate) | 2790 | (instance totalOrderingOn BinaryPredicate) | ||
| 2780 | (instance totalOrderingOn AsymmetricRelation) | 2791 | (instance totalOrderingOn AsymmetricRelation) | ||
| 2781 | (domain totalOrderingOn 1 BinaryRelation) | 2792 | (domain totalOrderingOn 1 BinaryRelation) | ||
| 2782 | (domain totalOrderingOn 2 SetOrClass) | 2793 | (domain totalOrderingOn 2 SetOrClass) | ||
| 2783 | (documentation totalOrderingOn "A &%BinaryRelation ?REL is a total | 2794 | (documentation totalOrderingOn "A &%BinaryRelation ?REL is a total | ||
| 2784 | ordering on a &%SetOrClass only if it is a partial ordering for which either | 2795 | ordering on a &%SetOrClass only if it is a partial ordering for which either | ||
| 2785 | (?REL ?INST1 ?INST2) or (?REL ?INST2 ?INST1) for every ?INST1 and ?INST2 | 2796 | (?REL ?INST1 ?INST2) or (?REL ?INST2 ?INST1) for every ?INST1 and ?INST2 | ||
| 2786 | in the &%SetOrClass.") | 2797 | in the &%SetOrClass.") | ||
| 2787 | 2798 | ||||
| 2788 | (<=> | 2799 | (<=> | ||
| 2789 | (totalOrderingOn ?RELATION ?CLASS) | 2800 | (totalOrderingOn ?RELATION ?CLASS) | ||
| 2790 | (and | 2801 | (and | ||
| 2791 | (partialOrderingOn ?RELATION ?CLASS) | 2802 | (partialOrderingOn ?RELATION ?CLASS) | ||
| 2792 | (trichotomizingOn ?RELATION ?CLASS))) | 2803 | (trichotomizingOn ?RELATION ?CLASS))) | ||
| 2793 | 2804 | ||||
| 2794 | (instance trichotomizingOn BinaryPredicate) | 2805 | (instance trichotomizingOn BinaryPredicate) | ||
| 2795 | (instance trichotomizingOn AsymmetricRelation) | 2806 | (instance trichotomizingOn AsymmetricRelation) | ||
| 2796 | (domain trichotomizingOn 1 BinaryRelation) | 2807 | (domain trichotomizingOn 1 BinaryRelation) | ||
| 2797 | (domain trichotomizingOn 2 SetOrClass) | 2808 | (domain trichotomizingOn 2 SetOrClass) | ||
| 2798 | (documentation trichotomizingOn "A &%BinaryRelation ?REL is | 2809 | (documentation trichotomizingOn "A &%BinaryRelation ?REL is | ||
| 2799 | trichotomizing on a &%SetOrClass only if, for all instances ?INST1 and ?INST2 | 2810 | trichotomizing on a &%SetOrClass only if, for all instances ?INST1 and ?INST2 | ||
| 2800 | of the &%SetOrClass, at least one of the following holds: (?REL ?INST1 ?INST2), | 2811 | of the &%SetOrClass, at least one of the following holds: (?REL ?INST1 ?INST2), | ||
| 2801 | (?REL ?INST2 ?INST1) or (equal ?INST1 ?INST2).") | 2812 | (?REL ?INST2 ?INST1) or (equal ?INST1 ?INST2).") | ||
| 2802 | 2813 | ||||
| 2803 | (=> | 2814 | (=> | ||
| 2804 | (trichotomizingOn ?RELATION ?CLASS) | 2815 | (trichotomizingOn ?RELATION ?CLASS) | ||
| 2805 | (forall (?INST1 ?INST2) | 2816 | (forall (?INST1 ?INST2) | ||
| 2806 | (=> | 2817 | (=> | ||
| 2807 | (and | 2818 | (and | ||
| 2808 | (instance ?INST1 ?CLASS) | 2819 | (instance ?INST1 ?CLASS) | ||
| 2809 | (instance ?INST2 ?CLASS)) | 2820 | (instance ?INST2 ?CLASS)) | ||
| 2810 | (or | 2821 | (or | ||
| 2811 | (holds ?RELATION ?INST1 ?INST2) | 2822 | (holds ?RELATION ?INST1 ?INST2) | ||
| 2812 | (holds ?RELATION ?INST2 ?INST1) | 2823 | (holds ?RELATION ?INST2 ?INST1) | ||
| 2813 | (equal ?INST1 ?INST2))))) | 2824 | (equal ?INST1 ?INST2))))) | ||
| 2814 | 2825 | ||||
| 2815 | (instance equivalenceRelationOn BinaryPredicate) | 2826 | (instance equivalenceRelationOn BinaryPredicate) | ||
| 2816 | (instance equivalenceRelationOn AsymmetricRelation) | 2827 | (instance equivalenceRelationOn AsymmetricRelation) | ||
| 2817 | (domain equivalenceRelationOn 1 BinaryRelation) | 2828 | (domain equivalenceRelationOn 1 BinaryRelation) | ||
| 2818 | (domain equivalenceRelationOn 2 SetOrClass) | 2829 | (domain equivalenceRelationOn 2 SetOrClass) | ||
| 2819 | (documentation equivalenceRelationOn "A &%BinaryRelation is an | 2830 | (documentation equivalenceRelationOn "A &%BinaryRelation is an | ||
| 2820 | &%equivalenceRelationOn a &%SetOrClass only if the relation is &%reflexiveOn | 2831 | &%equivalenceRelationOn a &%SetOrClass only if the relation is &%reflexiveOn | ||
| 2821 | the &%SetOrClass and it is both a &%TransitiveRelation and a | 2832 | the &%SetOrClass and it is both a &%TransitiveRelation and a | ||
| 2822 | &%SymmetricRelation.") | 2833 | &%SymmetricRelation.") | ||
| 2823 | 2834 | ||||
| 2824 | (=> | 2835 | (=> | ||
| 2825 | (equivalenceRelationOn ?RELATION ?CLASS) | 2836 | (equivalenceRelationOn ?RELATION ?CLASS) | ||
| 2826 | (and | 2837 | (and | ||
| 2827 | (instance ?RELATION TransitiveRelation) | 2838 | (instance ?RELATION TransitiveRelation) | ||
| 2828 | (instance ?RELATION SymmetricRelation) | 2839 | (instance ?RELATION SymmetricRelation) | ||
| 2829 | (reflexiveOn ?RELATION ?CLASS))) | 2840 | (reflexiveOn ?RELATION ?CLASS))) | ||
| 2830 | 2841 | ||||
| 2831 | (instance distributes BinaryPredicate) | 2842 | (instance distributes BinaryPredicate) | ||
| 2832 | (instance distributes BinaryRelation) | 2843 | (instance distributes BinaryRelation) | ||
| 2833 | (domain distributes 1 BinaryFunction) | 2844 | (domain distributes 1 BinaryFunction) | ||
| 2834 | (domain distributes 2 BinaryFunction) | 2845 | (domain distributes 2 BinaryFunction) | ||
| 2835 | (documentation distributes "A &%BinaryFunction ?FUNCTION1 is | 2846 | (documentation distributes "A &%BinaryFunction ?FUNCTION1 is | ||
| 2836 | distributive over another &%BinaryFunction ?FUNCTION2 just in case | 2847 | distributive over another &%BinaryFunction ?FUNCTION2 just in case | ||
| 2837 | (?FUNCTION1 ?INST1 (?FUNCTION2 ?INST2 ?INST3)) is equal to | 2848 | (?FUNCTION1 ?INST1 (?FUNCTION2 ?INST2 ?INST3)) is equal to | ||
| 2838 | (?FUNCTION2 (?FUNCTION1 ?INST1 ?INST2) (?FUNCTION1 ?INST1 ?INST3)), | 2849 | (?FUNCTION2 (?FUNCTION1 ?INST1 ?INST2) (?FUNCTION1 ?INST1 ?INST3)), | ||
| 2839 | for all ?INST1, ?INST2, and ?INST3.") | 2850 | for all ?INST1, ?INST2, and ?INST3.") | ||
| 2840 | 2851 | ||||
| 2841 | (=> | 2852 | (=> | ||
| 2842 | (distributes ?FUNCTION1 ?FUNCTION2) | 2853 | (distributes ?FUNCTION1 ?FUNCTION2) | ||
| 2843 | (forall (?INST1 ?INST2 ?INST3) | 2854 | (forall (?INST1 ?INST2 ?INST3) | ||
| 2844 | (=> | 2855 | (=> | ||
| 2845 | (and | 2856 | (and | ||
| 2846 | (domain ?FUNCTION1 1 ?CLASS1) | 2857 | (domain ?FUNCTION1 1 ?CLASS1) | ||
| 2847 | (instance ?INST1 ?CLASS1) | 2858 | (instance ?INST1 ?CLASS1) | ||
| 2848 | (instance ?INST2 ?CLASS1) | 2859 | (instance ?INST2 ?CLASS1) | ||
| 2849 | (instance ?INST3 ?CLASS1) | 2860 | (instance ?INST3 ?CLASS1) | ||
| 2850 | (domain ?FUNCTION2 1 ?CLASS2) | 2861 | (domain ?FUNCTION2 1 ?CLASS2) | ||
| 2851 | (instance ?INST1 ?CLASS2) | 2862 | (instance ?INST1 ?CLASS2) | ||
| 2852 | (instance ?INST2 ?CLASS2) | 2863 | (instance ?INST2 ?CLASS2) | ||
| 2853 | (instance ?INST3 ?CLASS2)) | 2864 | (instance ?INST3 ?CLASS2)) | ||
| 2854 | (equal (AssignmentFn ?FUNCTION1 ?INST1 | 2865 | (equal (AssignmentFn ?FUNCTION1 ?INST1 | ||
| 2855 | (AssignmentFn ?FUNCTION2 ?INST2 ?INST3)) | 2866 | (AssignmentFn ?FUNCTION2 ?INST2 ?INST3)) | ||
| 2856 | (AssignmentFn ?FUNCTION2 | 2867 | (AssignmentFn ?FUNCTION2 | ||
| 2857 | (AssignmentFn ?FUNCTION1 ?INST1 ?INST2) | 2868 | (AssignmentFn ?FUNCTION1 ?INST1 ?INST2) | ||
| 2858 | (AssignmentFn ?FUNCTION1 ?INST1 ?INST3)))))) | 2869 | (AssignmentFn ?FUNCTION1 ?INST1 ?INST3)))))) | ||
| 2859 | 2870 | ||||
| 2860 | (instance causes BinaryPredicate) | 2871 | (instance causes BinaryPredicate) | ||
| 2861 | (instance causes AsymmetricRelation) | 2872 | (instance causes AsymmetricRelation) | ||
| 2862 | (domain causes 1 Process) | 2873 | (domain causes 1 Process) | ||
| 2863 | (domain causes 2 Process) | 2874 | (domain causes 2 Process) | ||
| 2864 | (relatedInternalConcept causes causesSubclass) | 2875 | (relatedInternalConcept causes causesSubclass) | ||
| 2865 | (documentation causes "The causation relation between instances of &%Process. | 2876 | (documentation causes "The causation relation between instances of &%Process. | ||
| 2866 | (&%causes ?PROCESS1 ?PROCESS2) means that the instance of &%Process ?PROCESS1 | 2877 | (&%causes ?PROCESS1 ?PROCESS2) means that the instance of &%Process ?PROCESS1 | ||
| 2867 | brings about the instance of &%Process ?PROCESS2, e.g. (&%causes &%Killing &%Death).") | 2878 | brings about the instance of &%Process ?PROCESS2, e.g. (&%causes &%Killing &%Death).") | ||
| 2868 | 2879 | ||||
| 2869 | (=> | 2880 | (=> | ||
| 2870 | (instance ?PROC1 Process) | 2881 | (instance ?PROC1 Process) | ||
| 2871 | (exists (?PROC2) | 2882 | (exists (?PROC2) | ||
| 2872 | (causes ?PROC2 ?PROC1))) | 2883 | (causes ?PROC2 ?PROC1))) | ||
| 2873 | 2884 | ||||
| 2874 | (instance causesSubclass BinaryPredicate) | 2885 | (instance causesSubclass BinaryPredicate) | ||
| 2875 | (instance causesSubclass AsymmetricRelation) | 2886 | (instance causesSubclass AsymmetricRelation) | ||
| 2876 | (domainSubclass causesSubclass 1 Process) | 2887 | (domainSubclass causesSubclass 1 Process) | ||
| 2877 | (domainSubclass causesSubclass 2 Process) | 2888 | (domainSubclass causesSubclass 2 Process) | ||
| 2878 | (documentation causesSubclass "The causation relation between subclasses of &%Process. | 2889 | (documentation causesSubclass "The causation relation between subclasses of &%Process. | ||
| 2879 | (&%causesSubclass ?PROCESS1 ?PROCESS2) means that the subclass of &%Process ?PROCESS1 | 2890 | (&%causesSubclass ?PROCESS1 ?PROCESS2) means that the subclass of &%Process ?PROCESS1 | ||
| 2880 | brings about the subclass of &%Process ?PROCESS2, e.g. (&%causes &%Killing &%Death).") | 2891 | brings about the subclass of &%Process ?PROCESS2, e.g. (&%causes &%Killing &%Death).") | ||
| 2881 | 2892 | ||||
| 2882 | (=> | 2893 | (=> | ||
| 2883 | (causesSubclass ?PROC1 ?PROC2) | 2894 | (causesSubclass ?PROC1 ?PROC2) | ||
| 2884 | (forall (?INST2) | 2895 | (forall (?INST2) | ||
| 2885 | (=> | 2896 | (=> | ||
| 2886 | (instance ?INST2 ?PROC2) | 2897 | (instance ?INST2 ?PROC2) | ||
| 2887 | (exists (?INST1) | 2898 | (exists (?INST1) | ||
| 2888 | (and | 2899 | (and | ||
| 2889 | (instance ?INST1 ?PROC1) | 2900 | (instance ?INST1 ?PROC1) | ||
| 2890 | (causes ?INST1 ?INST2)))))) | 2901 | (causes ?INST1 ?INST2)))))) | ||
| 2891 | 2902 | ||||
| 2892 | (instance copy BinaryPredicate) | 2903 | (instance copy BinaryPredicate) | ||
| 2893 | (instance copy EquivalenceRelation) | 2904 | (instance copy EquivalenceRelation) | ||
| 2894 | (domain copy 1 Object) | 2905 | (domain copy 1 Object) | ||
| 2895 | (domain copy 2 Object) | 2906 | (domain copy 2 Object) | ||
| 2896 | (documentation copy "relates an &%Object to an exact copy of the | 2907 | (documentation copy "relates an &%Object to an exact copy of the | ||
| 2897 | &%Object, where an exact copy is indistinguishable from the original | 2908 | &%Object, where an exact copy is indistinguishable from the original | ||
| 2898 | with regard to every property except (possibly) spatial and/or temporal | 2909 | with regard to every property except (possibly) spatial and/or temporal | ||
| 2899 | location.") | 2910 | location.") | ||
| 2900 | 2911 | ||||
| 2901 | (=> | 2912 | (=> | ||
| 2902 | (copy ?OBJ1 ?OBJ2) | 2913 | (copy ?OBJ1 ?OBJ2) | ||
| 2903 | (forall (?ATTR) | 2914 | (forall (?ATTR) | ||
| 2904 | (=> | 2915 | (=> | ||
| 2905 | (attribute ?OBJ1 ?ATTR) | 2916 | (attribute ?OBJ1 ?ATTR) | ||
| 2906 | (attribute ?OBJ2 ?ATTR)))) | 2917 | (attribute ?OBJ2 ?ATTR)))) | ||
| 2907 | 2918 | ||||
| 2908 | (instance time BinaryPredicate) | 2919 | (instance time BinaryPredicate) | ||
| 2909 | (instance time TemporalRelation) | 2920 | (instance time TemporalRelation) | ||
| 2910 | (instance time AsymmetricRelation) | 2921 | (instance time AsymmetricRelation) | ||
| 2911 | (domain time 1 Physical) | 2922 | (domain time 1 Physical) | ||
| 2912 | (domain time 2 TimePosition) | 2923 | (domain time 2 TimePosition) | ||
| 2913 | (documentation time "This relation holds between an instance of | 2924 | (documentation time "This relation holds between an instance of | ||
| 2914 | &%Physical and an instance of &%TimePosition just in case the temporal | 2925 | &%Physical and an instance of &%TimePosition just in case the temporal | ||
| 2915 | lifespan of the former includes the latter. The constants &%located | 2926 | lifespan of the former includes the latter. The constants &%located | ||
| 2916 | and &%time are the basic spatial and temporal predicates, | 2927 | and &%time are the basic spatial and temporal predicates, | ||
| 2917 | respectively.") | 2928 | respectively.") | ||
| 2918 | 2929 | ||||
| 2919 | (instance holdsDuring BinaryPredicate) | 2930 | (instance holdsDuring BinaryPredicate) | ||
| 2920 | (instance holdsDuring AsymmetricRelation) | 2931 | (instance holdsDuring AsymmetricRelation) | ||
| 2921 | (domain holdsDuring 1 TimePosition) | 2932 | (domain holdsDuring 1 TimePosition) | ||
| 2922 | (domain holdsDuring 2 Formula) | 2933 | (domain holdsDuring 2 Formula) | ||
| 2923 | (documentation holdsDuring "(&%holdsDuring ?TIME ?FORMULA) means that the | 2934 | (documentation holdsDuring "(&%holdsDuring ?TIME ?FORMULA) means that the | ||
| 2924 | proposition denoted by ?FORMULA is true in the time frame ?TIME. Note | 2935 | proposition denoted by ?FORMULA is true in the time frame ?TIME. Note | ||
| 2925 | that this implies that ?FORMULA is true at every &%TimePoint which is a | 2936 | that this implies that ?FORMULA is true at every &%TimePoint which is a | ||
| 2926 | &%temporalPart of ?TIME.") | 2937 | &%temporalPart of ?TIME.") | ||
| 2927 | 2938 | ||||
| 2928 | (=> | 2939 | (=> | ||
| 2929 | (and | 2940 | (and | ||
| 2930 | (holdsDuring ?TIME ?SITUATION1) | 2941 | (holdsDuring ?TIME ?SITUATION1) | ||
| 2931 | (entails ?SITUATION1 ?SITUATION2)) | 2942 | (entails ?SITUATION1 ?SITUATION2)) | ||
| 2932 | (holdsDuring ?TIME ?SITUATION2)) | 2943 | (holdsDuring ?TIME ?SITUATION2)) | ||
| 2933 | 2944 | ||||
| 2934 | (=> | 2945 | (=> | ||
| 2935 | (holdsDuring ?TIME (not ?SITUATION)) | 2946 | (holdsDuring ?TIME (not ?SITUATION)) | ||
| 2936 | (not (holdsDuring ?TIME ?SITUATION))) | 2947 | (not (holdsDuring ?TIME ?SITUATION))) | ||
| 2937 | 2948 | ||||
| 2938 | (instance capability TernaryPredicate) | 2949 | (instance capability TernaryPredicate) | ||
| 2939 | (domainSubclass capability 1 Process) | 2950 | (domainSubclass capability 1 Process) | ||
| 2940 | (domain capability 2 CaseRole) | 2951 | (domain capability 2 CaseRole) | ||
| 2941 | (domain capability 3 Object) | 2952 | (domain capability 3 Object) | ||
| 2942 | (documentation capability "(&%capability ?PROCESS ?ROLE ?OBJ) means | 2953 | (documentation capability "(&%capability ?PROCESS ?ROLE ?OBJ) means | ||
| 2943 | that ?OBJ has the ability to play the role of ?ROLE in &%Processes of | 2954 | that ?OBJ has the ability to play the role of ?ROLE in &%Processes of | ||
| 2944 | type ?PROCESS.") | 2955 | type ?PROCESS.") | ||
| 2945 | 2956 | ||||
| 2946 | (=> | 2957 | (=> | ||
| 2947 | (and | 2958 | (and | ||
| 2948 | (instance ?ROLE CaseRole) | 2959 | (instance ?ROLE CaseRole) | ||
| 2949 | (holds ?ROLE ?ARG1 ?ARG2) | 2960 | (holds ?ROLE ?ARG1 ?ARG2) | ||
| 2950 | (instance ?ARG1 ?PROC)) | 2961 | (instance ?ARG1 ?PROC)) | ||
| 2951 | (capability ?PROC ?ROLE ?ARG2)) | 2962 | (capability ?PROC ?ROLE ?ARG2)) | ||
| 2952 | 2963 | ||||
| 2953 | (instance exploits BinaryPredicate) | 2964 | (instance exploits BinaryPredicate) | ||
| 2954 | (instance exploits AsymmetricRelation) | 2965 | (instance exploits AsymmetricRelation) | ||
| 2955 | (domain exploits 1 Object) | 2966 | (domain exploits 1 Object) | ||
| 2956 | (domain exploits 2 Agent) | 2967 | (domain exploits 2 Agent) | ||
| 2957 | (documentation exploits "(&%exploits ?OBJ ?AGENT) means that ?OBJ is used | 2968 | (documentation exploits "(&%exploits ?OBJ ?AGENT) means that ?OBJ is used | ||
| 2958 | by ?AGENT as a &%resource in an unspecified instance of &%Process. This | 2969 | by ?AGENT as a &%resource in an unspecified instance of &%Process. This | ||
| 2959 | &%Predicate, as its corresponding axiom indicates, is a composition of the | 2970 | &%Predicate, as its corresponding axiom indicates, is a composition of the | ||
| 2960 | relations &%agent and &%resource.") | 2971 | relations &%agent and &%resource.") | ||
| 2961 | 2972 | ||||
| 2962 | (=> | 2973 | (=> | ||
| 2963 | (exploits ?OBJ ?AGENT) | 2974 | (exploits ?OBJ ?AGENT) | ||
| 2964 | (exists (?PROCESS) | 2975 | (exists (?PROCESS) | ||
| 2965 | (and | 2976 | (and | ||
| 2966 | (agent ?PROCESS ?AGENT) | 2977 | (agent ?PROCESS ?AGENT) | ||
| 2967 | (resource ?PROCESS ?OBJ)))) | 2978 | (resource ?PROCESS ?OBJ)))) | ||
| 2968 | 2979 | ||||
| 2969 | (instance hasPurpose BinaryPredicate) | 2980 | (instance hasPurpose BinaryPredicate) | ||
| 2970 | (instance hasPurpose AsymmetricRelation) | 2981 | (instance hasPurpose AsymmetricRelation) | ||
| 2971 | (domain hasPurpose 1 Physical) | 2982 | (domain hasPurpose 1 Physical) | ||
| 2972 | (domain hasPurpose 2 Formula) | 2983 | (domain hasPurpose 2 Formula) | ||
| 2973 | (documentation hasPurpose "This &%Predicate expresses the concept of a | 2984 | (documentation hasPurpose "This &%Predicate expresses the concept of a | ||
| 2974 | conventional goal, i.e. a goal with a neutralized agent's intention. | 2985 | conventional goal, i.e. a goal with a neutralized agent's intention. | ||
| 2975 | Accordingly, (&%hasPurpose ?THING ?FORMULA) means that the instance of | 2986 | Accordingly, (&%hasPurpose ?THING ?FORMULA) means that the instance of | ||
| 2976 | &%Physical ?THING has, as its purpose, the &%Proposition expressed by | 2987 | &%Physical ?THING has, as its purpose, the &%Proposition expressed by | ||
| 2977 | ?FORMULA. Note that there is an important difference in meaning between | 2988 | ?FORMULA. Note that there is an important difference in meaning between | ||
| 2978 | the &%Predicates &%hasPurpose and &%result. Although the second argument | 2989 | the &%Predicates &%hasPurpose and &%result. Although the second argument | ||
| 2979 | of the latter can satisfy the second argument of the former, | 2990 | of the latter can satisfy the second argument of the former, | ||
| 2980 | a conventional goal is an expected and desired outcome, while a result | 2991 | a conventional goal is an expected and desired outcome, while a result | ||
| 2981 | may be neither expected nor desired. For example, a machine process may | 2992 | may be neither expected nor desired. For example, a machine process may | ||
| 2982 | have outcomes but no goals, aimless wandering may have an outcome but no | 2993 | have outcomes but no goals, aimless wandering may have an outcome but no | ||
| 2983 | goal; a learning process may have goals with no outcomes, and so on.") | 2994 | goal; a learning process may have goals with no outcomes, and so on.") | ||
| 2984 | 2995 | ||||
| 2985 | (instance hasPurposeForAgent TernaryPredicate) | 2996 | (instance hasPurposeForAgent TernaryPredicate) | ||
| 2986 | (domain hasPurposeForAgent 1 Physical) | 2997 | (domain hasPurposeForAgent 1 Physical) | ||
| 2987 | (domain hasPurposeForAgent 2 Formula) | 2998 | (domain hasPurposeForAgent 2 Formula) | ||
| 2988 | (domain hasPurposeForAgent 3 CognitiveAgent) | 2999 | (domain hasPurposeForAgent 3 CognitiveAgent) | ||
| 2989 | (documentation hasPurposeForAgent "Expresses a cognitive attitude of an | 3000 | (documentation hasPurposeForAgent "Expresses a cognitive attitude of an | ||
| 2990 | agent with respect to a particular instance of Physical. More precisely, | 3001 | agent with respect to a particular instance of Physical. More precisely, | ||
| 2991 | (&%hasPurposeForAgent ?THING ?FORMULA ?AGENT) means that the purpose of | 3002 | (&%hasPurposeForAgent ?THING ?FORMULA ?AGENT) means that the purpose of | ||
| 2992 | ?THING for ?AGENT is the proposition expressed by ?FORMULA. Very complex | 3003 | ?THING for ?AGENT is the proposition expressed by ?FORMULA. Very complex | ||
| 2993 | issues are involved here. In particular, the rules of inference of the | 3004 | issues are involved here. In particular, the rules of inference of the | ||
| 2994 | first order predicate calculus are not truth-preserving for the second | 3005 | first order predicate calculus are not truth-preserving for the second | ||
| 2995 | argument position of this &%Predicate.") | 3006 | argument position of this &%Predicate.") | ||
| 2996 | 3007 | ||||
| 2997 | (=> | 3008 | (=> | ||
| 2998 | (hasPurpose ?THING ?PURPOSE) | 3009 | (hasPurpose ?THING ?PURPOSE) | ||
| 2999 | (exists (?AGENT) | 3010 | (exists (?AGENT) | ||
| 3000 | (hasPurposeForAgent ?THING ?PURPOSE ?AGENT))) | 3011 | (hasPurposeForAgent ?THING ?PURPOSE ?AGENT))) | ||
| 3001 | 3012 | ||||
| 3002 | (instance hasSkill BinaryPredicate) | 3013 | (instance hasSkill BinaryPredicate) | ||
| 3003 | (instance hasSkill AsymmetricRelation) | 3014 | (instance hasSkill AsymmetricRelation) | ||
| 3004 | (domainSubclass hasSkill 1 Process) | 3015 | (domainSubclass hasSkill 1 Process) | ||
| 3005 | (domain hasSkill 2 Agent) | 3016 | (domain hasSkill 2 Agent) | ||
| 3006 | (documentation hasSkill "Similar to the &%capability &%Predicate | 3017 | (documentation hasSkill "Similar to the &%capability &%Predicate | ||
| 3007 | with the additional restriction that the ability be practised/ | 3018 | with the additional restriction that the ability be practised/ | ||
| 3008 | demonstrated to some measurable degree.") | 3019 | demonstrated to some measurable degree.") | ||
| 3009 | 3020 | ||||
| 3010 | (=> | 3021 | (=> | ||
| 3011 | (hasSkill ?PROC ?AGENT) | 3022 | (hasSkill ?PROC ?AGENT) | ||
| 3012 | (capability ?PROC agent ?AGENT)) | 3023 | (capability ?PROC agent ?AGENT)) | ||
| 3013 | 3024 | ||||
| 3014 | (instance holdsRight BinaryPredicate) | 3025 | (instance holdsRight BinaryPredicate) | ||
| 3015 | (instance holdsRight AsymmetricRelation) | 3026 | (instance holdsRight AsymmetricRelation) | ||
| 3016 | (domain holdsRight 1 Formula) | 3027 | (domain holdsRight 1 Formula) | ||
| 3017 | (domain holdsRight 2 CognitiveAgent) | 3028 | (domain holdsRight 2 CognitiveAgent) | ||
| 3018 | (documentation holdsRight "Expresses a relationship between a &%Formula | 3029 | (documentation holdsRight "Expresses a relationship between a &%Formula | ||
| 3019 | and a &%CognitiveAgent whereby the &%CognitiveAgent has the right to | 3030 | and a &%CognitiveAgent whereby the &%CognitiveAgent has the right to | ||
| 3020 | bring it about that the &%Formula is true.") | 3031 | bring it about that the &%Formula is true.") | ||
| 3021 | 3032 | ||||
| 3022 | (instance confersRight TernaryPredicate) | 3033 | (instance confersRight TernaryPredicate) | ||
| 3023 | (domain confersRight 1 Formula) | 3034 | (domain confersRight 1 Formula) | ||
| 3024 | (domain confersRight 2 Entity) | 3035 | (domain confersRight 2 Entity) | ||
| 3025 | (domain confersRight 3 CognitiveAgent) | 3036 | (domain confersRight 3 CognitiveAgent) | ||
| 3026 | (documentation confersRight "Expresses the relationship between a &%Formula, | 3037 | (documentation confersRight "Expresses the relationship between a &%Formula, | ||
| 3027 | an &%Entity, and a &%CognitiveAgent when the &%Entity authorizes the | 3038 | an &%Entity, and a &%CognitiveAgent when the &%Entity authorizes the | ||
| 3028 | &%CognitiveAgent to bring it about that the &%Formula is true.") | 3039 | &%CognitiveAgent to bring it about that the &%Formula is true.") | ||
| 3029 | 3040 | ||||
| 3030 | (=> | 3041 | (=> | ||
| 3031 | (confersRight ?FORMULA ?AGENT1 ?AGENT2) | 3042 | (confersRight ?FORMULA ?AGENT1 ?AGENT2) | ||
| 3032 | (holdsRight ?FORMULA ?AGENT2)) | 3043 | (holdsRight ?FORMULA ?AGENT2)) | ||
| 3033 | 3044 | ||||
| 3034 | (instance holdsObligation BinaryPredicate) | 3045 | (instance holdsObligation BinaryPredicate) | ||
| 3035 | (instance holdsObligation AsymmetricRelation) | 3046 | (instance holdsObligation AsymmetricRelation) | ||
| 3036 | (domain holdsObligation 1 Formula) | 3047 | (domain holdsObligation 1 Formula) | ||
| 3037 | (domain holdsObligation 2 CognitiveAgent) | 3048 | (domain holdsObligation 2 CognitiveAgent) | ||
| 3038 | (relatedInternalConcept holdsObligation holdsRight) | 3049 | (relatedInternalConcept holdsObligation holdsRight) | ||
| 3039 | (documentation holdsObligation "Expresses a relationship between a | 3050 | (documentation holdsObligation "Expresses a relationship between a | ||
| 3040 | &%Formula and a &%CognitiveAgent whereby the &%CognitiveAgent has | 3051 | &%Formula and a &%CognitiveAgent whereby the &%CognitiveAgent has | ||
| 3041 | the obligation to bring it about that the &%Formula is true.") | 3052 | the obligation to bring it about that the &%Formula is true.") | ||
| 3042 | 3053 | ||||
| 3043 | (instance confersObligation TernaryPredicate) | 3054 | (instance confersObligation TernaryPredicate) | ||
| 3044 | (domain confersObligation 1 Formula) | 3055 | (domain confersObligation 1 Formula) | ||
| 3045 | (domain confersObligation 2 Entity) | 3056 | (domain confersObligation 2 Entity) | ||
| 3046 | (domain confersObligation 3 CognitiveAgent) | 3057 | (domain confersObligation 3 CognitiveAgent) | ||
| 3047 | (relatedInternalConcept confersObligation confersRight) | 3058 | (relatedInternalConcept confersObligation confersRight) | ||
| 3048 | (documentation confersObligation "Expresses the relationship between a | 3059 | (documentation confersObligation "Expresses the relationship between a | ||
| 3049 | a &%Formula, an &%Entity, and a &%CognitiveAgent when the &%Entity | 3060 | a &%Formula, an &%Entity, and a &%CognitiveAgent when the &%Entity | ||
| 3050 | obligates the &%CognitiveAgent to bring it about that the &%Formula is | 3061 | obligates the &%CognitiveAgent to bring it about that the &%Formula is | ||
| 3051 | true.") | 3062 | true.") | ||
| 3052 | 3063 | ||||
| 3053 | (=> | 3064 | (=> | ||
| 3054 | (confersObligation ?FORMULA ?AGENT1 ?AGENT2) | 3065 | (confersObligation ?FORMULA ?AGENT1 ?AGENT2) | ||
| 3055 | (holdsObligation ?FORMULA ?AGENT2)) | 3066 | (holdsObligation ?FORMULA ?AGENT2)) | ||
| 3056 | 3067 | ||||
| 3057 | (instance partlyLocated SpatialRelation) | 3068 | (instance partlyLocated SpatialRelation) | ||
| 3058 | (instance partlyLocated AntisymmetricRelation) | 3069 | (instance partlyLocated AntisymmetricRelation) | ||
| 3059 | (instance partlyLocated BinaryPredicate) | 3070 | (instance partlyLocated BinaryPredicate) | ||
| 3060 | (domain partlyLocated 1 Physical) | 3071 | (domain partlyLocated 1 Physical) | ||
| 3061 | (domain partlyLocated 2 Object) | 3072 | (domain partlyLocated 2 Object) | ||
| 3062 | (documentation partlyLocated "(&%partlyLocated ?THING ?OBJ) means that the | 3073 | (documentation partlyLocated "(&%partlyLocated ?THING ?OBJ) means that the | ||
| 3063 | instance of &%Physical ?THING is at least partially located at ?OBJ. For | 3074 | instance of &%Physical ?THING is at least partially located at ?OBJ. For | ||
| 3064 | example, Istanbul is partly located in Asia and partly located in Europe. | 3075 | example, Istanbul is partly located in Asia and partly located in Europe. | ||
| 3065 | Note that &%partlyLocated is the most basic localization relation: &%located | 3076 | Note that &%partlyLocated is the most basic localization relation: &%located | ||
| 3066 | is an immediate &%subrelation of &%partlyLocated and &%exactlyLocated is | 3077 | is an immediate &%subrelation of &%partlyLocated and &%exactlyLocated is | ||
| 3067 | an immediate &%subrelation of &%located.") | 3078 | an immediate &%subrelation of &%located.") | ||
| 3068 | 3079 | ||||
| 3069 | (=> | 3080 | (=> | ||
| 3070 | (and | 3081 | (and | ||
| 3071 | (instance ?OBJ1 Object) | 3082 | (instance ?OBJ1 Object) | ||
| 3072 | (partlyLocated ?OBJ1 ?OBJ2)) | 3083 | (partlyLocated ?OBJ1 ?OBJ2)) | ||
| 3073 | (overlapsSpatially ?OBJ1 ?OBJ2)) | 3084 | (overlapsSpatially ?OBJ1 ?OBJ2)) | ||
| 3074 | 3085 | ||||
| 3075 | (=> | 3086 | (=> | ||
| 3076 | (and | 3087 | (and | ||
| 3077 | (instance ?OBJ1 Object) | 3088 | (instance ?OBJ1 Object) | ||
| 3078 | (partlyLocated ?OBJ1 ?OBJ2)) | 3089 | (partlyLocated ?OBJ1 ?OBJ2)) | ||
| 3079 | (exists (?SUB) | 3090 | (exists (?SUB) | ||
| 3080 | (and | 3091 | (and | ||
| 3081 | (part ?SUB ?OBJ1) | 3092 | (part ?SUB ?OBJ1) | ||
| 3082 | (located ?SUB ?OBJ2)))) | 3093 | (located ?SUB ?OBJ2)))) | ||
| 3083 | 3094 | ||||
| 3084 | (instance located AntisymmetricRelation) | 3095 | (instance located AntisymmetricRelation) | ||
| 3085 | (instance located TransitiveRelation) | 3096 | (instance located TransitiveRelation) | ||
| 3086 | (subrelation located partlyLocated) | 3097 | (subrelation located partlyLocated) | ||
| 3087 | (documentation located "(&%located ?PHYS ?OBJ) means that ?PHYS is &%partlyLocated | 3098 | (documentation located "(&%located ?PHYS ?OBJ) means that ?PHYS is &%partlyLocated | ||
| 3088 | at ?OBJ, and there is no &%part or &%subProcess of ?PHYS that is not &%located at | 3099 | at ?OBJ, and there is no &%part or &%subProcess of ?PHYS that is not &%located at | ||
| 3089 | ?OBJ.") | 3100 | ?OBJ.") | ||
| 3090 | 3101 | ||||
| 3091 | (=> | 3102 | (=> | ||
| 3092 | (located ?OBJ1 ?OBJ2) | 3103 | (located ?OBJ1 ?OBJ2) | ||
| 3093 | (forall (?SUB) | 3104 | (forall (?SUB) | ||
| 3094 | (=> | 3105 | (=> | ||
| 3095 | (part ?SUB ?OBJ1) | 3106 | (part ?SUB ?OBJ1) | ||
| 3096 | (located ?SUB ?OBJ2)))) | 3107 | (located ?SUB ?OBJ2)))) | ||
| 3097 | 3108 | ||||
| 3098 | (=> | 3109 | (=> | ||
| 3099 | (located ?PROCESS ?OBJ) | 3110 | (located ?PROCESS ?OBJ) | ||
| 3100 | (forall (?SUB) | 3111 | (forall (?SUB) | ||
| 3101 | (=> | 3112 | (=> | ||
| 3102 | (subProcess ?SUB ?PROCESS) | 3113 | (subProcess ?SUB ?PROCESS) | ||
| 3103 | (located ?SUB ?OBJ)))) | 3114 | (located ?SUB ?OBJ)))) | ||
| 3104 | 3115 | ||||
| 3105 | (subrelation exactlyLocated located) | 3116 | (subrelation exactlyLocated located) | ||
| 3106 | (documentation exactlyLocated "The actual, minimal location of an | 3117 | (documentation exactlyLocated "The actual, minimal location of an | ||
| 3107 | Object. This is a subrelation of the more general &%Predicate | 3118 | Object. This is a subrelation of the more general &%Predicate | ||
| 3108 | &%located.") | 3119 | &%located.") | ||
| 3109 | 3120 | ||||
| 3110 | (=> | 3121 | (=> | ||
| 3111 | (exactlyLocated ?OBJ ?REGION) | 3122 | (exactlyLocated ?OBJ ?REGION) | ||
| 3112 | (not | 3123 | (not | ||
| 3113 | (exists (?OTHEROBJ) | 3124 | (exists (?OTHEROBJ) | ||
| 3114 | (and | 3125 | (and | ||
| 3115 | (exactlyLocated ?OTHEROBJ ?REGION) | 3126 | (exactlyLocated ?OTHEROBJ ?REGION) | ||
| 3116 | (not | 3127 | (not | ||
| 3117 | (equal ?OTHEROBJ ?OBJ)))))) | 3128 | (equal ?OTHEROBJ ?OBJ)))))) | ||
| 3118 | 3129 | ||||
| 3119 | (instance between SpatialRelation) | 3130 | (instance between SpatialRelation) | ||
| 3120 | (instance between TernaryPredicate) | 3131 | (instance between TernaryPredicate) | ||
| 3121 | (domain between 1 Object) | 3132 | (domain between 1 Object) | ||
| 3122 | (domain between 2 Object) | 3133 | (domain between 2 Object) | ||
| 3123 | (domain between 3 Object) | 3134 | (domain between 3 Object) | ||
| 3124 | (documentation between "(between ?OBJ1 ?OBJ2 ?OBJ3) means that ?OBJ2 is | 3135 | (documentation between "(between ?OBJ1 ?OBJ2 ?OBJ3) means that ?OBJ2 is | ||
| 3125 | spatially located between ?OBJ1 and ?OBJ3. Note that this implies that | 3136 | spatially located between ?OBJ1 and ?OBJ3. Note that this implies that | ||
| 3126 | ?OBJ2 is directly between ?OBJ1 and ?OBJ3, i.e. the projections of ?OBJ1 | 3137 | ?OBJ2 is directly between ?OBJ1 and ?OBJ3, i.e. the projections of ?OBJ1 | ||
| 3127 | and ?OBJ3 overlap with ?OBJ2.") | 3138 | and ?OBJ3 overlap with ?OBJ2.") | ||
| 3128 | 3139 | ||||
| 3129 | (instance traverses SpatialRelation) | 3140 | (instance traverses SpatialRelation) | ||
| 3130 | (domain traverses 1 Object) | 3141 | (domain traverses 1 Object) | ||
| 3131 | (domain traverses 2 Object) | 3142 | (domain traverses 2 Object) | ||
| 3132 | (documentation traverses "(&%traverses ?OBJ1 ?OBJ2) means that ?OBJ1 | 3143 | (documentation traverses "(&%traverses ?OBJ1 ?OBJ2) means that ?OBJ1 | ||
| 3133 | crosses or extends across ?OBJ2. Note that &%crosses and | 3144 | crosses or extends across ?OBJ2. Note that &%crosses and | ||
| 3134 | &%penetrates are subrelations of &%traverses.") | 3145 | &%penetrates are subrelations of &%traverses.") | ||
| 3135 | 3146 | ||||
| 3136 | (=> | 3147 | (=> | ||
| 3137 | (traverses ?OBJ1 ?OBJ2) | 3148 | (traverses ?OBJ1 ?OBJ2) | ||
| 3138 | (or | 3149 | (or | ||
| 3139 | (crosses ?OBJ1 ?OBJ2) | 3150 | (crosses ?OBJ1 ?OBJ2) | ||
| 3140 | (penetrates ?OBJ1 ?OBJ2))) | 3151 | (penetrates ?OBJ1 ?OBJ2))) | ||
| 3141 | 3152 | ||||
| 3142 | (subrelation crosses traverses) | 3153 | (subrelation crosses traverses) | ||
| 3143 | (instance crosses AsymmetricRelation) | 3154 | (instance crosses AsymmetricRelation) | ||
| 3144 | (instance crosses TransitiveRelation) | 3155 | (instance crosses TransitiveRelation) | ||
| 3145 | (disjointRelation crosses connected) | 3156 | (disjointRelation crosses connected) | ||
| 3146 | (documentation crosses "(crosses ?OBJ1 ?OBJ2) means that | 3157 | (documentation crosses "(crosses ?OBJ1 ?OBJ2) means that | ||
| 3147 | &%Object ?OBJ1 &%traverses Object ?OBJ2, without being &%connected | 3158 | &%Object ?OBJ1 &%traverses Object ?OBJ2, without being &%connected | ||
| 3148 | to it.") | 3159 | to it.") | ||
| 3149 | 3160 | ||||
| 3150 | (subrelation penetrates traverses) | 3161 | (subrelation penetrates traverses) | ||
| 3151 | (subrelation penetrates meetsSpatially) | 3162 | (subrelation penetrates meetsSpatially) | ||
| 3152 | (instance penetrates AsymmetricRelation) | 3163 | (instance penetrates AsymmetricRelation) | ||
| 3153 | (instance penetrates IntransitiveRelation) | 3164 | (instance penetrates IntransitiveRelation) | ||
| 3154 | (documentation penetrates "(penetrates ?OBJ1 ?OBJ2) means that | 3165 | (documentation penetrates "(penetrates ?OBJ1 ?OBJ2) means that | ||
| 3155 | ?OBJ1 is &%connected to ?OBJ2 along at least one whole dimension (length, | 3166 | ?OBJ1 is &%connected to ?OBJ2 along at least one whole dimension (length, | ||
| 3156 | width or depth).") | 3167 | width or depth).") | ||
| 3157 | 3168 | ||||
| 3158 | (instance WhereFn BinaryFunction) | 3169 | (instance WhereFn BinaryFunction) | ||
| 3159 | (instance WhereFn SpatialRelation) | 3170 | (instance WhereFn SpatialRelation) | ||
| 3160 | (instance WhereFn TotalValuedRelation) | 3171 | (instance WhereFn TotalValuedRelation) | ||
| 3161 | (domain WhereFn 1 Physical) | 3172 | (domain WhereFn 1 Physical) | ||
| 3162 | (domain WhereFn 2 TimePoint) | 3173 | (domain WhereFn 2 TimePoint) | ||
| 3163 | (range WhereFn Region) | 3174 | (range WhereFn Region) | ||
| 3164 | (relatedInternalConcept WhereFn WhenFn) | 3175 | (relatedInternalConcept WhereFn WhenFn) | ||
| 3165 | (documentation WhereFn "Maps an &%Object and a &%TimePoint at which the | 3176 | (documentation WhereFn "Maps an &%Object and a &%TimePoint at which the | ||
| 3166 | &%Object exists to the &%Region where the &%Object existed at that | 3177 | &%Object exists to the &%Region where the &%Object existed at that | ||
| 3167 | &%TimePoint.") | 3178 | &%TimePoint.") | ||
| 3168 | 3179 | ||||
| 3169 | (<=> | 3180 | (<=> | ||
| 3170 | (equal (WhereFn ?THING ?TIME) ?REGION) | 3181 | (equal (WhereFn ?THING ?TIME) ?REGION) | ||
| 3171 | (holdsDuring ?TIME (exactlyLocated ?THING ?REGION))) | 3182 | (holdsDuring ?TIME (exactlyLocated ?THING ?REGION))) | ||
| 3172 | 3183 | ||||
| 3173 | (instance possesses BinaryPredicate) | 3184 | (instance possesses BinaryPredicate) | ||
| 3174 | (instance possesses AsymmetricRelation) | 3185 | (instance possesses AsymmetricRelation) | ||
| 3175 | (domain possesses 1 Agent) | 3186 | (domain possesses 1 Agent) | ||
| 3176 | (domain possesses 2 Object) | 3187 | (domain possesses 2 Object) | ||
| 3177 | (documentation possesses "&%Relation that holds between an &%Agent and | 3188 | (documentation possesses "&%Relation that holds between an &%Agent and | ||
| 3178 | an &%Object when the &%Agent has ownership of the &%Object.") | 3189 | an &%Object when the &%Agent has ownership of the &%Object.") | ||
| 3179 | 3190 | ||||
| 3180 | (=> | 3191 | (=> | ||
| 3181 | (possesses ?PERSON ?OBJ) | 3192 | (possesses ?PERSON ?OBJ) | ||
| 3182 | (holdsRight (uses ?OBJ ?PERSON) ?PERSON)) | 3193 | (holdsRight (uses ?OBJ ?PERSON) ?PERSON)) | ||
| 3183 | 3194 | ||||
| 3184 | (=> | 3195 | (=> | ||
| 3185 | (and | 3196 | (and | ||
| 3186 | (instance ?TIME TimePosition) | 3197 | (instance ?TIME TimePosition) | ||
| 3187 | (holdsDuring ?TIME (possesses ?AGENT1 ?OBJ)) | 3198 | (holdsDuring ?TIME (possesses ?AGENT1 ?OBJ)) | ||
| 3188 | (holdsDuring ?TIME (possesses ?AGENT2 ?OBJ))) | 3199 | (holdsDuring ?TIME (possesses ?AGENT2 ?OBJ))) | ||
| 3189 | (equal ?AGENT1 ?AGENT2)) | 3200 | (equal ?AGENT1 ?AGENT2)) | ||
| 3190 | 3201 | ||||
| 3191 | (instance PropertyFn UnaryFunction) | 3202 | (instance PropertyFn UnaryFunction) | ||
| 3192 | (instance PropertyFn TotalValuedRelation) | 3203 | (instance PropertyFn TotalValuedRelation) | ||
| 3193 | (domain PropertyFn 1 Agent) | 3204 | (domain PropertyFn 1 Agent) | ||
| 3194 | (range PropertyFn Set) | 3205 | (range PropertyFn Set) | ||
| 3195 | (documentation PropertyFn "A &%UnaryFunction that maps an &%Agent to the &%Set of &%Property owned by the &%Agent.") | 3206 | (documentation PropertyFn "A &%UnaryFunction that maps an &%Agent to the &%Set of &%Property owned by the &%Agent.") | ||
| 3196 | 3207 | ||||
| 3197 | (<=> | 3208 | (<=> | ||
| 3198 | (instance ?OBJ (PropertyFn ?PERSON)) | 3209 | (instance ?OBJ (PropertyFn ?PERSON)) | ||
| 3199 | (possesses ?PERSON ?OBJ)) | 3210 | (possesses ?PERSON ?OBJ)) | ||
| 3200 | 3211 | ||||
| 3201 | (instance precondition BinaryPredicate) | 3212 | (instance precondition BinaryPredicate) | ||
| 3202 | (instance precondition AsymmetricRelation) | 3213 | (instance precondition AsymmetricRelation) | ||
| 3203 | (instance precondition TransitiveRelation) | 3214 | (instance precondition TransitiveRelation) | ||
| 3204 | (domainSubclass precondition 1 Process) | 3215 | (domainSubclass precondition 1 Process) | ||
| 3205 | (domainSubclass precondition 2 Process) | 3216 | (domainSubclass precondition 2 Process) | ||
| 3206 | (documentation precondition "A very general &%Predicate. (&%precondition | 3217 | (documentation precondition "A very general &%Predicate. (&%precondition | ||
| 3207 | ?PROC1 ?PROC2) means that ?PROC2 can exist or be true only if | 3218 | ?PROC1 ?PROC2) means that ?PROC2 can exist or be true only if | ||
| 3208 | ?PROC1 exists or is true.") | 3219 | ?PROC1 exists or is true.") | ||
| 3209 | 3220 | ||||
| 3210 | (=> | 3221 | (=> | ||
| 3211 | (precondition ?PROC1 ?PROC2) | 3222 | (precondition ?PROC1 ?PROC2) | ||
| 3212 | (=> | 3223 | (=> | ||
| 3213 | (exists (?INST2) (instance ?INST2 ?PROC2)) | 3224 | (exists (?INST2) (instance ?INST2 ?PROC2)) | ||
| 3214 | (exists (?INST1) (instance ?INST1 ?PROC1)))) | 3225 | (exists (?INST1) (instance ?INST1 ?PROC1)))) | ||
| 3215 | 3226 | ||||
| 3216 | (instance inhibits BinaryPredicate) | 3227 | (instance inhibits BinaryPredicate) | ||
| 3217 | (instance inhibits IrreflexiveRelation) | 3228 | (instance inhibits IrreflexiveRelation) | ||
| 3218 | (domainSubclass inhibits 1 Process) | 3229 | (domainSubclass inhibits 1 Process) | ||
| 3219 | (domainSubclass inhibits 2 Process) | 3230 | (domainSubclass inhibits 2 Process) | ||
| 3220 | (documentation inhibits "A very general &%Predicate. (&%inhibits | 3231 | (documentation inhibits "A very general &%Predicate. (&%inhibits | ||
| 3221 | ?PROC1 ?PROC2) means that the &%Process ?PROC1 inhibits or hinders | 3232 | ?PROC1 ?PROC2) means that the &%Process ?PROC1 inhibits or hinders | ||
| 3222 | the occurrence of the &%Process ?PROC2. For example, obstructing an | 3233 | the occurrence of the &%Process ?PROC2. For example, obstructing an | ||
| 3223 | object inhibits moving it. Note that this is a relation between types | 3234 | object inhibits moving it. Note that this is a relation between types | ||
| 3224 | of &%Processes, not between instances.") | 3235 | of &%Processes, not between instances.") | ||
| 3225 | 3236 | ||||
| 3226 | (=> | 3237 | (=> | ||
| 3227 | (inhibits ?PROC1 ?PROC2) | 3238 | (inhibits ?PROC1 ?PROC2) | ||
| 3228 | (forall (?TIME ?PLACE) | 3239 | (forall (?TIME ?PLACE) | ||
| 3229 | (decreasesLikelihood | 3240 | (decreasesLikelihood | ||
| 3230 | (holdsDuring ?TIME (exists (?INST1) (and (instance ?INST1 ?PROC1) (located ?INST1 ?PLACE)))) | 3241 | (holdsDuring ?TIME (exists (?INST1) (and (instance ?INST1 ?PROC1) (located ?INST1 ?PLACE)))) | ||
| 3231 | (holdsDuring ?TIME (exists (?INST2) (and (instance ?INST2 ?PROC2) (located ?INST2 ?PLACE))))))) | 3242 | (holdsDuring ?TIME (exists (?INST2) (and (instance ?INST2 ?PROC2) (located ?INST2 ?PLACE))))))) | ||
| 3232 | 3243 | ||||
| 3233 | (instance prevents BinaryPredicate) | 3244 | (instance prevents BinaryPredicate) | ||
| 3234 | (instance prevents IrreflexiveRelation) | 3245 | (instance prevents IrreflexiveRelation) | ||
| 3235 | (domainSubclass prevents 1 Process) | 3246 | (domainSubclass prevents 1 Process) | ||
| 3236 | (domainSubclass prevents 2 Process) | 3247 | (domainSubclass prevents 2 Process) | ||
| 3237 | (relatedInternalConcept prevents inhibits) | 3248 | (relatedInternalConcept prevents inhibits) | ||
| 3238 | (documentation prevents "A very general &%Predicate. (&%prevents ?PROC1 | 3249 | (documentation prevents "A very general &%Predicate. (&%prevents ?PROC1 | ||
| 3239 | ?PROC2) means that ?PROC1 prevents the occurrence of ?PROC2. In other | 3250 | ?PROC2) means that ?PROC1 prevents the occurrence of ?PROC2. In other | ||
| 3240 | words, if ?PROC1 is occurring in a particular time and place, ?PROC2 | 3251 | words, if ?PROC1 is occurring in a particular time and place, ?PROC2 | ||
| 3241 | cannot occur at the same time and place. For example, innoculating | 3252 | cannot occur at the same time and place. For example, innoculating | ||
| 3242 | prevents contracting disease. Note that this is a relation between types | 3253 | prevents contracting disease. Note that this is a relation between types | ||
| 3243 | of &%Processes, not between instances.") | 3254 | of &%Processes, not between instances.") | ||
| 3244 | 3255 | ||||
| 3245 | (=> | 3256 | (=> | ||
| 3246 | (prevents ?PROC1 ?PROC2) | 3257 | (prevents ?PROC1 ?PROC2) | ||
| 3247 | (forall (?TIME ?PLACE) | 3258 | (forall (?TIME ?PLACE) | ||
| 3248 | (=> | 3259 | (=> | ||
| 3249 | (holdsDuring ?TIME (exists (?INST1) (and (instance ?INST1 ?PROC1) (located ?INST1 ?PLACE)))) | 3260 | (holdsDuring ?TIME (exists (?INST1) (and (instance ?INST1 ?PROC1) (located ?INST1 ?PLACE)))) | ||
| 3250 | (not (holdsDuring ?TIME (exists (?INST2) (and (instance ?INST2 ?PROC2) (located ?INST2 ?PLACE)))))))) | 3261 | (not (holdsDuring ?TIME (exists (?INST2) (and (instance ?INST2 ?PROC2) (located ?INST2 ?PLACE)))))))) | ||
| 3251 | 3262 | ||||
| 3252 | (instance refers BinaryPredicate) | 3263 | (instance refers BinaryPredicate) | ||
| 3253 | (domain refers 1 Physical) | 3264 | (domain refers 1 Physical) | ||
| 3254 | (domain refers 2 Entity) | 3265 | (domain refers 2 Entity) | ||
| 3255 | (documentation refers "(&%refers ?OBJ1 ?OBJ2) means that ?OBJ1 | 3266 | (documentation refers "(&%refers ?OBJ1 ?OBJ2) means that ?OBJ1 | ||
| 3256 | mentions or includes a reference to ?OBJ2. Note that &%refers is | 3267 | mentions or includes a reference to ?OBJ2. Note that &%refers is | ||
| 3257 | more general in meaning than &%represents, because presumably something | 3268 | more general in meaning than &%represents, because presumably something | ||
| 3258 | can represent something else only if it refers to this other thing. | 3269 | can represent something else only if it refers to this other thing. | ||
| 3259 | For example, an article whose topic is a recent change in the price of | 3270 | For example, an article whose topic is a recent change in the price of | ||
| 3260 | oil may refer to many other things, e.g. the general state of the economy, | 3271 | oil may refer to many other things, e.g. the general state of the economy, | ||
| 3261 | the weather in California, the prospect of global warming, the options | 3272 | the weather in California, the prospect of global warming, the options | ||
| 3262 | for alternative energy sources, the stock prices of various oil companies, | 3273 | for alternative energy sources, the stock prices of various oil companies, | ||
| 3263 | etc.") | 3274 | etc.") | ||
| 3264 | 3275 | ||||
| 3265 | (subrelation names refers) | 3276 | (subrelation names refers) | ||
| 3266 | (domain names 1 SymbolicString) | 3277 | (domain names 1 SymbolicString) | ||
| 3267 | (documentation names "(&%names ?STRING ?ENTITY) means that the thing ?ENTITY | 3278 | (documentation names "(&%names ?STRING ?ENTITY) means that the thing ?ENTITY | ||
| 3268 | has the &%SymbolicString ?STRING as its name. Note that &%names and &%represents | 3279 | has the &%SymbolicString ?STRING as its name. Note that &%names and &%represents | ||
| 3269 | are the two immediate &%subrelations of &%refers. The predicate &%names is used | 3280 | are the two immediate &%subrelations of &%refers. The predicate &%names is used | ||
| 3270 | when the referring item is merely a tag without connotative content, while the | 3281 | when the referring item is merely a tag without connotative content, while the | ||
| 3271 | predicate &%represents is used for referring items that have such content.") | 3282 | predicate &%represents is used for referring items that have such content.") | ||
| 3272 | 3283 | ||||
| 3273 | (subrelation uniqueIdentifier names) | 3284 | (subrelation uniqueIdentifier names) | ||
| 3274 | (instance uniqueIdentifier SingleValuedRelation) | 3285 | (instance uniqueIdentifier SingleValuedRelation) | ||
| 3275 | (documentation uniqueIdentifier "The class of &%names that uniquely identify | 3286 | (documentation uniqueIdentifier "The class of &%names that uniquely identify | ||
| 3276 | an instance of &%Entity. Some examples of &%uniqueIdentifiers are the keys | 3287 | an instance of &%Entity. Some examples of &%uniqueIdentifiers are the keys | ||
| 3277 | of tables in database applications and the ISBN (International Standard Book | 3288 | of tables in database applications and the ISBN (International Standard Book | ||
| 3278 | Number).") | 3289 | Number).") | ||
| 3279 | 3290 | ||||
| 3280 | (subrelation represents refers) | 3291 | (subrelation represents refers) | ||
| 3281 | (documentation represents "A very general semiotics &%Predicate. | 3292 | (documentation represents "A very general semiotics &%Predicate. | ||
| 3282 | (&%represents ?THING ?ENTITY) means that ?THING in some way indicates, | 3293 | (&%represents ?THING ?ENTITY) means that ?THING in some way indicates, | ||
| 3283 | expresses, connotes, pictures, describes, etc. ?ENTITY. The &%Predicates | 3294 | expresses, connotes, pictures, describes, etc. ?ENTITY. The &%Predicates | ||
| 3284 | &%containsInformation and &%realization are subrelations of &%represents. | 3295 | &%containsInformation and &%realization are subrelations of &%represents. | ||
| 3285 | Note that &%represents is a subrelation of &%refers, since something can | 3296 | Note that &%represents is a subrelation of &%refers, since something can | ||
| 3286 | represent something else only if it refers to this other thing. See the | 3297 | represent something else only if it refers to this other thing. See the | ||
| 3287 | documentation string for &%names.") | 3298 | documentation string for &%names.") | ||
| 3288 | 3299 | ||||
| 3289 | (instance representsForAgent TernaryPredicate) | 3300 | (instance representsForAgent TernaryPredicate) | ||
| 3290 | (domain representsForAgent 1 Physical) | 3301 | (domain representsForAgent 1 Physical) | ||
| 3291 | (domain representsForAgent 2 Entity) | 3302 | (domain representsForAgent 2 Entity) | ||
| 3292 | (domain representsForAgent 3 Agent) | 3303 | (domain representsForAgent 3 Agent) | ||
| 3293 | (documentation representsForAgent "A very general predicate. | 3304 | (documentation representsForAgent "A very general predicate. | ||
| 3294 | (&%representsForAgent ?THING ?ENTITY ?AGENT) means that the ?AGENT | 3305 | (&%representsForAgent ?THING ?ENTITY ?AGENT) means that the ?AGENT | ||
| 3295 | chooses to use the &%instance of &%Physical ?THING to 'stand for' | 3306 | chooses to use the &%instance of &%Physical ?THING to 'stand for' | ||
| 3296 | ?ENTITY.") | 3307 | ?ENTITY.") | ||
| 3297 | 3308 | ||||
| 3298 | (=> | 3309 | (=> | ||
| 3299 | (representsForAgent ?REP ?ENTITY ?AGENT) | 3310 | (representsForAgent ?REP ?ENTITY ?AGENT) | ||
| 3300 | (represents ?REP ?ENTITY)) | 3311 | (represents ?REP ?ENTITY)) | ||
| 3301 | 3312 | ||||
| 3302 | (instance representsInLanguage TernaryPredicate) | 3313 | (instance representsInLanguage TernaryPredicate) | ||
| 3303 | (domain representsInLanguage 1 Physical) | 3314 | (domain representsInLanguage 1 Physical) | ||
| 3304 | (domain representsInLanguage 2 Entity) | 3315 | (domain representsInLanguage 2 Entity) | ||
| 3305 | (domain representsInLanguage 3 Language) | 3316 | (domain representsInLanguage 3 Language) | ||
| 3306 | (documentation representsInLanguage "A very general predicate. | 3317 | (documentation representsInLanguage "A very general predicate. | ||
| 3307 | (&%representsInLanguage ?THING ?ENTITY ?LANGUAGE) means that the | 3318 | (&%representsInLanguage ?THING ?ENTITY ?LANGUAGE) means that the | ||
| 3308 | &%instance of &%Physical ?THING stands for ?ENTITY in the language | 3319 | &%instance of &%Physical ?THING stands for ?ENTITY in the language | ||
| 3309 | ?LANGUAGE.") | 3320 | ?LANGUAGE.") | ||
| 3310 | 3321 | ||||
| 3311 | (=> | 3322 | (=> | ||
| 3312 | (representsInLanguage ?REP ?ENTITY ?LANGUAGE) | 3323 | (representsInLanguage ?REP ?ENTITY ?LANGUAGE) | ||
| 3313 | (exists (?AGENT) | 3324 | (exists (?AGENT) | ||
| 3314 | (representsForAgent ?REP ?ENTITY ?AGENT))) | 3325 | (representsForAgent ?REP ?ENTITY ?AGENT))) | ||
| 3315 | 3326 | ||||
| 3316 | (subrelation equivalentContentClass subsumesContentClass) | 3327 | (subrelation equivalentContentClass subsumesContentClass) | ||
| 3317 | (instance equivalentContentClass EquivalenceRelation) | 3328 | (instance equivalentContentClass EquivalenceRelation) | ||
| 3318 | (domainSubclass equivalentContentClass 1 ContentBearingObject) | 3329 | (domainSubclass equivalentContentClass 1 ContentBearingObject) | ||
| 3319 | (domainSubclass equivalentContentClass 2 ContentBearingObject) | 3330 | (domainSubclass equivalentContentClass 2 ContentBearingObject) | ||
| 3320 | (documentation equivalentContentClass "A &%BinaryPredicate that relates two | 3331 | (documentation equivalentContentClass "A &%BinaryPredicate that relates two | ||
| 3321 | subclasses of &%ContentBearingObject. (&%equivalentContentClass ?CLASS1 | 3332 | subclasses of &%ContentBearingObject. (&%equivalentContentClass ?CLASS1 | ||
| 3322 | ?CLASS2) means that the content expressed by each instance of ?CLASS1 is | 3333 | ?CLASS2) means that the content expressed by each instance of ?CLASS1 is | ||
| 3323 | also expressed by each instance of ?CLASS2, and vice versa. An example | 3334 | also expressed by each instance of ?CLASS2, and vice versa. An example | ||
| 3324 | would be the relationship between English and Russian editions of Agatha | 3335 | would be the relationship between English and Russian editions of Agatha | ||
| 3325 | Christie's 'Murder on the Orient Express'. Note that | 3336 | Christie's 'Murder on the Orient Express'. Note that | ||
| 3326 | (&%equivalentContentClass ?CLASS1 ?CLASS2) implies (&%subsumesContentClass | 3337 | (&%equivalentContentClass ?CLASS1 ?CLASS2) implies (&%subsumesContentClass | ||
| 3327 | ?CLASS1 ?CLASS2) and (&%subsumesContentClass ?CLASS2 ?CLASS1).") | 3338 | ?CLASS1 ?CLASS2) and (&%subsumesContentClass ?CLASS2 ?CLASS1).") | ||
| 3328 | 3339 | ||||
| 3329 | (<=> | 3340 | (<=> | ||
| 3330 | (and | 3341 | (and | ||
| 3331 | (subsumesContentClass ?CLASS1 ?CLASS2) | 3342 | (subsumesContentClass ?CLASS1 ?CLASS2) | ||
| 3332 | (subsumesContentClass ?CLASS2 ?CLASS1)) | 3343 | (subsumesContentClass ?CLASS2 ?CLASS1)) | ||
| 3333 | (equivalentContentClass ?CLASS1 ?CLASS2)) | 3344 | (equivalentContentClass ?CLASS1 ?CLASS2)) | ||
| 3334 | 3345 | ||||
| 3335 | (instance subsumesContentClass BinaryPredicate) | 3346 | (instance subsumesContentClass BinaryPredicate) | ||
| 3336 | (instance subsumesContentClass PartialOrderingRelation) | 3347 | (instance subsumesContentClass PartialOrderingRelation) | ||
| 3337 | (domainSubclass subsumesContentClass 1 ContentBearingObject) | 3348 | (domainSubclass subsumesContentClass 1 ContentBearingObject) | ||
| 3338 | (domainSubclass subsumesContentClass 2 ContentBearingObject) | 3349 | (domainSubclass subsumesContentClass 2 ContentBearingObject) | ||
| 3339 | (documentation subsumesContentClass "A &%BinaryPredicate that relates two | 3350 | (documentation subsumesContentClass "A &%BinaryPredicate that relates two | ||
| 3340 | subclasses of &%ContentBearingObject. (&%subsumesContentClass ?CLASS1 | 3351 | subclasses of &%ContentBearingObject. (&%subsumesContentClass ?CLASS1 | ||
| 3341 | ?CLASS2) means that the content expressed by each instance of ?CLASS2 is | 3352 | ?CLASS2) means that the content expressed by each instance of ?CLASS2 is | ||
| 3342 | also expressed by each instance of ?CLASS1. Examples include the | 3353 | also expressed by each instance of ?CLASS1. Examples include the | ||
| 3343 | relationship between a poem and one of its stanzas or between a book and | 3354 | relationship between a poem and one of its stanzas or between a book and | ||
| 3344 | one of its chapters. Note that this is a relation between subclasses of | 3355 | one of its chapters. Note that this is a relation between subclasses of | ||
| 3345 | &%ContentBearingObject, rather than instances. If one wants to relate | 3356 | &%ContentBearingObject, rather than instances. If one wants to relate | ||
| 3346 | instances, the &%Predicate &%subsumesContentInstance can be used. Note | 3357 | instances, the &%Predicate &%subsumesContentInstance can be used. Note | ||
| 3347 | that &%subsumesContentClass is needed in many cases. Consider, for | 3358 | that &%subsumesContentClass is needed in many cases. Consider, for | ||
| 3348 | example, the relation between the King James edition of the Bible and its | 3359 | example, the relation between the King James edition of the Bible and its | ||
| 3349 | Book of Genesis. This relation holds for every copy of this edition and | 3360 | Book of Genesis. This relation holds for every copy of this edition and | ||
| 3350 | not just for a single instance.") | 3361 | not just for a single instance.") | ||
| 3351 | 3362 | ||||
| 3352 | (=> | 3363 | (=> | ||
| 3353 | (subsumesContentClass ?CLASS1 ?CLASS2) | 3364 | (subsumesContentClass ?CLASS1 ?CLASS2) | ||
| 3354 | (forall (?OBJ2 ?INFO) | 3365 | (forall (?OBJ2 ?INFO) | ||
| 3355 | (=> | 3366 | (=> | ||
| 3356 | (and | 3367 | (and | ||
| 3357 | (instance ?OBJ2 ?CLASS2) | 3368 | (instance ?OBJ2 ?CLASS2) | ||
| 3358 | (containsInformation ?OBJ2 ?INFO)) | 3369 | (containsInformation ?OBJ2 ?INFO)) | ||
| 3359 | (exists (?OBJ1) | 3370 | (exists (?OBJ1) | ||
| 3360 | (and | 3371 | (and | ||
| 3361 | (instance ?OBJ1 ?CLASS1) | 3372 | (instance ?OBJ1 ?CLASS1) | ||
| 3362 | (containsInformation ?OBJ1 ?INFO)))))) | 3373 | (containsInformation ?OBJ1 ?INFO)))))) | ||
| 3363 | 3374 | ||||
| 3364 | (subrelation equivalentContentInstance subsumesContentInstance) | 3375 | (subrelation equivalentContentInstance subsumesContentInstance) | ||
| 3365 | (instance equivalentContentInstance EquivalenceRelation) | 3376 | (instance equivalentContentInstance EquivalenceRelation) | ||
| 3366 | (domain equivalentContentInstance 1 ContentBearingObject) | 3377 | (domain equivalentContentInstance 1 ContentBearingObject) | ||
| 3367 | (domain equivalentContentInstance 2 ContentBearingObject) | 3378 | (domain equivalentContentInstance 2 ContentBearingObject) | ||
| 3368 | (relatedInternalConcept equivalentContentInstance equivalentContentClass) | 3379 | (relatedInternalConcept equivalentContentInstance equivalentContentClass) | ||
| 3369 | (documentation equivalentContentInstance "A &%BinaryPredicate relating two | 3380 | (documentation equivalentContentInstance "A &%BinaryPredicate relating two | ||
| 3370 | instances of &%ContentBearingObject. (&%equivalentContentInstance | 3381 | instances of &%ContentBearingObject. (&%equivalentContentInstance | ||
| 3371 | ?OBJ1 ?OBJ2) means that the content expressed by ?OBJ1 is identical to | 3382 | ?OBJ1 ?OBJ2) means that the content expressed by ?OBJ1 is identical to | ||
| 3372 | the content expressed by ?OBJ2. An example would be the relationship | 3383 | the content expressed by ?OBJ2. An example would be the relationship | ||
| 3373 | between a handwritten draft of a letter to one's lawyer and a typed | 3384 | between a handwritten draft of a letter to one's lawyer and a typed | ||
| 3374 | copy of the same letter. Note that (&%equivalentContentInstance ?OBJ1 | 3385 | copy of the same letter. Note that (&%equivalentContentInstance ?OBJ1 | ||
| 3375 | ?OBJ2) implies (&%subsumesContentInstance ?OBJ1 ?OBJ2) and | 3386 | ?OBJ2) implies (&%subsumesContentInstance ?OBJ1 ?OBJ2) and | ||
| 3376 | (&%subsumesContentInstance ?OBJ2 ?OBJ2).") | 3387 | (&%subsumesContentInstance ?OBJ2 ?OBJ2).") | ||
| 3377 | 3388 | ||||
| 3378 | (<=> | 3389 | (<=> | ||
| 3379 | (and | 3390 | (and | ||
| 3380 | (subsumesContentInstance ?OBJ1 ?OBJ2) | 3391 | (subsumesContentInstance ?OBJ1 ?OBJ2) | ||
| 3381 | (subsumesContentInstance ?OBJ2 ?OBJ1)) | 3392 | (subsumesContentInstance ?OBJ2 ?OBJ1)) | ||
| 3382 | (equivalentContentInstance ?OBJ1 ?OBJ2)) | 3393 | (equivalentContentInstance ?OBJ1 ?OBJ2)) | ||
| 3383 | 3394 | ||||
| 3384 | (instance subsumesContentInstance BinaryPredicate) | 3395 | (instance subsumesContentInstance BinaryPredicate) | ||
| 3385 | (instance subsumesContentInstance PartialOrderingRelation) | 3396 | (instance subsumesContentInstance PartialOrderingRelation) | ||
| 3386 | (domain subsumesContentInstance 1 ContentBearingObject) | 3397 | (domain subsumesContentInstance 1 ContentBearingObject) | ||
| 3387 | (domain subsumesContentInstance 2 ContentBearingObject) | 3398 | (domain subsumesContentInstance 2 ContentBearingObject) | ||
| 3388 | (relatedInternalConcept subsumesContentInstance subsumesContentClass) | 3399 | (relatedInternalConcept subsumesContentInstance subsumesContentClass) | ||
| 3389 | (documentation subsumesContentInstance "A &%BinaryPredicate relating two | 3400 | (documentation subsumesContentInstance "A &%BinaryPredicate relating two | ||
| 3390 | instances of &%ContentBearingObject. (&%subsumesContentInstance ?OBJ1 ?OBJ2) | 3401 | instances of &%ContentBearingObject. (&%subsumesContentInstance ?OBJ1 ?OBJ2) | ||
| 3391 | means that the content expressed by ?OBJ2 is part of the content expressed | 3402 | means that the content expressed by ?OBJ2 is part of the content expressed | ||
| 3392 | by ?OBJ1. An example is the relationship between a handwritten poem and | 3403 | by ?OBJ1. An example is the relationship between a handwritten poem and | ||
| 3393 | one of its stanzas. Note that this is a relation between instances, | 3404 | one of its stanzas. Note that this is a relation between instances, | ||
| 3394 | rather than &%Classes. If one wants to assert a content relationship | 3405 | rather than &%Classes. If one wants to assert a content relationship | ||
| 3395 | between &%Classes, e.g. between the version of an intellectual work and a | 3406 | between &%Classes, e.g. between the version of an intellectual work and a | ||
| 3396 | part of that work, the relation &%subsumesContentClass should be used.") | 3407 | part of that work, the relation &%subsumesContentClass should be used.") | ||
| 3397 | 3408 | ||||
| 3398 | (=> | 3409 | (=> | ||
| 3399 | (subsumesContentInstance ?OBJ1 ?OBJ2) | 3410 | (subsumesContentInstance ?OBJ1 ?OBJ2) | ||
| 3400 | (forall (?INFO) | 3411 | (forall (?INFO) | ||
| 3401 | (=> | 3412 | (=> | ||
| 3402 | (containsInformation ?OBJ2 ?INFO) | 3413 | (containsInformation ?OBJ2 ?INFO) | ||
| 3403 | (containsInformation ?OBJ1 ?INFO)))) | 3414 | (containsInformation ?OBJ1 ?INFO)))) | ||
| 3404 | 3415 | ||||
| 3405 | (subrelation realization represents) | 3416 | (subrelation realization represents) | ||
| 3406 | (instance realization AsymmetricRelation) | 3417 | (instance realization AsymmetricRelation) | ||
| 3407 | (domain realization 1 Process) | 3418 | (domain realization 1 Process) | ||
| 3408 | (domain realization 2 Proposition) | 3419 | (domain realization 2 Proposition) | ||
| 3409 | (relatedInternalConcept realization equivalentContentInstance) | 3420 | (relatedInternalConcept realization equivalentContentInstance) | ||
| 3410 | (relatedInternalConcept realization containsInformation) | 3421 | (relatedInternalConcept realization containsInformation) | ||
| 3411 | (documentation realization "A subrelation of &%represents. | 3422 | (documentation realization "A subrelation of &%represents. | ||
| 3412 | (&%realization ?PROCESS ?PROP) means that ?PROCESS is a Process which | 3423 | (&%realization ?PROCESS ?PROP) means that ?PROCESS is a Process which | ||
| 3413 | expresses the content of ?PROP. Examples include a particular musical | 3424 | expresses the content of ?PROP. Examples include a particular musical | ||
| 3414 | performance, which realizes the content of a musical score, or the | 3425 | performance, which realizes the content of a musical score, or the | ||
| 3415 | reading of a poem.") | 3426 | reading of a poem.") | ||
| 3416 | 3427 | ||||
| 3417 | (=> | 3428 | (=> | ||
| 3418 | (realization ?PROCESS ?PROP) | 3429 | (realization ?PROCESS ?PROP) | ||
| 3419 | (exists (?OBJ) | 3430 | (exists (?OBJ) | ||
| 3420 | (and | 3431 | (and | ||
| 3421 | (instance ?OBJ ContentBearingObject) | 3432 | (instance ?OBJ ContentBearingObject) | ||
| 3422 | (containsInformation ?OBJ ?PROP)))) | 3433 | (containsInformation ?OBJ ?PROP)))) | ||
| 3423 | 3434 | ||||
| 3424 | (instance expressedInLanguage BinaryPredicate) | 3435 | (instance expressedInLanguage BinaryPredicate) | ||
| 3425 | (instance expressedInLanguage AsymmetricRelation) | 3436 | (instance expressedInLanguage AsymmetricRelation) | ||
| 3426 | (domain expressedInLanguage 1 LinguisticExpression) | 3437 | (domain expressedInLanguage 1 LinguisticExpression) | ||
| 3427 | (domain expressedInLanguage 2 Language) | 3438 | (domain expressedInLanguage 2 Language) | ||
| 3428 | (documentation expressedInLanguage "(&%expressedInLanguage ?EXPRESS ?LANG) | 3439 | (documentation expressedInLanguage "(&%expressedInLanguage ?EXPRESS ?LANG) | ||
| 3429 | means that ?EXPRESS is expressed in &%Language ?LANG.") | 3440 | means that ?EXPRESS is expressed in &%Language ?LANG.") | ||
| 3430 | 3441 | ||||
| 3431 | (<=> | 3442 | (<=> | ||
| 3432 | (expressedInLanguage ?EXPRESS ?LANGUAGE) | 3443 | (expressedInLanguage ?EXPRESS ?LANGUAGE) | ||
| 3433 | (exists (?PROP) | 3444 | (exists (?PROP) | ||
| 3434 | (representsInLanguage ?EXPRESS ?PROP ?LANGUAGE))) | 3445 | (representsInLanguage ?EXPRESS ?PROP ?LANGUAGE))) | ||
| 3435 | 3446 | ||||
| 3436 | (instance subProposition BinaryPredicate) | 3447 | (instance subProposition BinaryPredicate) | ||
| 3437 | (instance subProposition TransitiveRelation) | 3448 | (instance subProposition TransitiveRelation) | ||
| 3438 | (instance subProposition IrreflexiveRelation) | 3449 | (instance subProposition IrreflexiveRelation) | ||
| 3439 | (domain subProposition 1 Proposition) | 3450 | (domain subProposition 1 Proposition) | ||
| 3440 | (domain subProposition 2 Proposition) | 3451 | (domain subProposition 2 Proposition) | ||
| 3441 | (documentation subProposition "(&%subProposition ?PROP1 ?PROP2) means that | 3452 | (documentation subProposition "(&%subProposition ?PROP1 ?PROP2) means that | ||
| 3442 | ?PROP1 is a &%Proposition which is a proper part of the &%Proposition ?PROP2. | 3453 | ?PROP1 is a &%Proposition which is a proper part of the &%Proposition ?PROP2. | ||
| 3443 | In other words, &%subProposition is the analogue of &%properPart for chunks | 3454 | In other words, &%subProposition is the analogue of &%properPart for chunks | ||
| 3444 | of abstract content.") | 3455 | of abstract content.") | ||
| 3445 | 3456 | ||||
| 3446 | (=> | 3457 | (=> | ||
| 3447 | (subProposition ?PROP1 ?PROP2) | 3458 | (subProposition ?PROP1 ?PROP2) | ||
| 3448 | (forall (?OBJ1 ?OBJ2) | 3459 | (forall (?OBJ1 ?OBJ2) | ||
| 3449 | (=> | 3460 | (=> | ||
| 3450 | (and | 3461 | (and | ||
| 3451 | (containsInformation ?OBJ1 ?PROP1) | 3462 | (containsInformation ?OBJ1 ?PROP1) | ||
| 3452 | (containsInformation ?OBJ2 ?PROP2)) | 3463 | (containsInformation ?OBJ2 ?PROP2)) | ||
| 3453 | (subsumesContentInstance ?OBJ2 ?OBJ1)))) | 3464 | (subsumesContentInstance ?OBJ2 ?OBJ1)))) | ||
| 3454 | 3465 | ||||
| 3455 | (subrelation subPlan subProposition) | 3466 | (subrelation subPlan subProposition) | ||
| 3456 | (instance subPlan TransitiveRelation) | 3467 | (instance subPlan TransitiveRelation) | ||
| 3457 | (instance subPlan IrreflexiveRelation) | 3468 | (instance subPlan IrreflexiveRelation) | ||
| 3458 | (domain subPlan 1 Plan) | 3469 | (domain subPlan 1 Plan) | ||
| 3459 | (domain subPlan 2 Plan) | 3470 | (domain subPlan 2 Plan) | ||
| 3460 | (documentation subPlan "(&%subPlan ?PLAN1 ?PLAN2) means that ?PLAN1 | 3471 | (documentation subPlan "(&%subPlan ?PLAN1 ?PLAN2) means that ?PLAN1 | ||
| 3461 | is a &%Plan which is a proper part of ?PLAN2. This relation is generally | 3472 | is a &%Plan which is a proper part of ?PLAN2. This relation is generally | ||
| 3462 | used to relate a supporting &%Plan to the overall &%Plan in a particular | 3473 | used to relate a supporting &%Plan to the overall &%Plan in a particular | ||
| 3463 | context.") | 3474 | context.") | ||
| 3464 | 3475 | ||||
| 3465 | (instance uses BinaryPredicate) | 3476 | (instance uses BinaryPredicate) | ||
| 3466 | (instance uses AsymmetricRelation) | 3477 | (instance uses AsymmetricRelation) | ||
| 3467 | (domain uses 1 Object) | 3478 | (domain uses 1 Object) | ||
| 3468 | (domain uses 2 Agent) | 3479 | (domain uses 2 Agent) | ||
| 3469 | (documentation uses "(&%uses ?OBJECT AGENT) means that ?OBJECT is used by | 3480 | (documentation uses "(&%uses ?OBJECT AGENT) means that ?OBJECT is used by | ||
| 3470 | ?AGENT as an instrument in an unspecified &%Process. This &%Predicate, | 3481 | ?AGENT as an instrument in an unspecified &%Process. This &%Predicate, | ||
| 3471 | as its corresponding axiom indicates, is a composition of the &%CaseRoles | 3482 | as its corresponding axiom indicates, is a composition of the &%CaseRoles | ||
| 3472 | &%agent and &%instrument.") | 3483 | &%agent and &%instrument.") | ||
| 3473 | 3484 | ||||
| 3474 | (=> | 3485 | (=> | ||
| 3475 | (uses ?OBJ ?AGENT) | 3486 | (uses ?OBJ ?AGENT) | ||
| 3476 | (exists (?PROC) | 3487 | (exists (?PROC) | ||
| 3477 | (and | 3488 | (and | ||
| 3478 | (agent ?PROC ?AGENT) | 3489 | (agent ?PROC ?AGENT) | ||
| 3479 | (instrument ?PROC ?OBJ)))) | 3490 | (instrument ?PROC ?OBJ)))) | ||
| 3480 | 3491 | ||||
| 3481 | ;; END FILE | 3492 | ;; END FILE | ||
| 3482 | 3493 | ||||
| 3483 | ;; BEGIN FILE | 3494 | ;; BEGIN FILE | ||
| 3484 | 3495 | ||||
| 3485 | 3496 | ||||
| 3486 | ;;;;;;;;;;;;;;;;;;;;;;;;;; | 3497 | ;;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 3487 | ;; NUMERIC FUNCTIONS ;; | 3498 | ;; NUMERIC FUNCTIONS ;; | ||
| 3488 | ;;;;;;;;;;;;;;;;;;;;;;;;;; | 3499 | ;;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 3489 | 3500 | ||||
| 3490 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | 3501 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | ||
| 3491 | ;; INCLUDES 'BASE ONTOLOGY' | 3502 | ;; INCLUDES 'BASE ONTOLOGY' | ||
| 3492 | 3503 | ||||
| 3493 | (instance MultiplicationFn BinaryFunction) | 3504 | (instance MultiplicationFn BinaryFunction) | ||
| 3494 | (instance MultiplicationFn AssociativeFunction) | 3505 | (instance MultiplicationFn AssociativeFunction) | ||
| 3495 | (instance MultiplicationFn CommutativeFunction) | 3506 | (instance MultiplicationFn CommutativeFunction) | ||
| 3496 | (instance MultiplicationFn RelationExtendedToQuantities) | 3507 | (instance MultiplicationFn RelationExtendedToQuantities) | ||
| 3497 | (instance MultiplicationFn TotalValuedRelation) | 3508 | (instance MultiplicationFn TotalValuedRelation) | ||
| 3498 | (domain MultiplicationFn 1 Quantity) | 3509 | (domain MultiplicationFn 1 Quantity) | ||
| 3499 | (domain MultiplicationFn 2 Quantity) | 3510 | (domain MultiplicationFn 2 Quantity) | ||
| 3500 | (range MultiplicationFn Quantity) | 3511 | (range MultiplicationFn Quantity) | ||
| 3501 | (documentation MultiplicationFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, | 3512 | (documentation MultiplicationFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, | ||
| 3502 | then (&%MultiplicationFn ?NUMBER1 ?NUMBER2) is the arithmetical product | 3513 | then (&%MultiplicationFn ?NUMBER1 ?NUMBER2) is the arithmetical product | ||
| 3503 | of these numbers.") | 3514 | of these numbers.") | ||
| 3504 | 3515 | ||||
| 3505 | (instance AdditionFn BinaryFunction) | 3516 | (instance AdditionFn BinaryFunction) | ||
| 3506 | (instance AdditionFn AssociativeFunction) | 3517 | (instance AdditionFn AssociativeFunction) | ||
| 3507 | (instance AdditionFn CommutativeFunction) | 3518 | (instance AdditionFn CommutativeFunction) | ||
| 3508 | (instance AdditionFn RelationExtendedToQuantities) | 3519 | (instance AdditionFn RelationExtendedToQuantities) | ||
| 3509 | (instance AdditionFn TotalValuedRelation) | 3520 | (instance AdditionFn TotalValuedRelation) | ||
| 3510 | (domain AdditionFn 1 Quantity) | 3521 | (domain AdditionFn 1 Quantity) | ||
| 3511 | (domain AdditionFn 2 Quantity) | 3522 | (domain AdditionFn 2 Quantity) | ||
| 3512 | (range AdditionFn Quantity) | 3523 | (range AdditionFn Quantity) | ||
| 3513 | (documentation AdditionFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, then | 3524 | (documentation AdditionFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, then | ||
| 3514 | (&%AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these | 3525 | (&%AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these | ||
| 3515 | numbers.") | 3526 | numbers.") | ||
| 3516 | 3527 | ||||
| 3517 | (equal (SuccessorFn ?NUMBER) (AdditionFn ?NUMBER 1)) | 3528 | (equal (SuccessorFn ?NUMBER) (AdditionFn ?NUMBER 1)) | ||
| 3518 | 3529 | ||||
| 3519 | (instance SubtractionFn BinaryFunction) | 3530 | (instance SubtractionFn BinaryFunction) | ||
| 3520 | (instance SubtractionFn AssociativeFunction) | 3531 | (instance SubtractionFn AssociativeFunction) | ||
| 3521 | (instance SubtractionFn RelationExtendedToQuantities) | 3532 | (instance SubtractionFn RelationExtendedToQuantities) | ||
| 3522 | (instance SubtractionFn TotalValuedRelation) | 3533 | (instance SubtractionFn TotalValuedRelation) | ||
| 3523 | (domain SubtractionFn 1 Quantity) | 3534 | (domain SubtractionFn 1 Quantity) | ||
| 3524 | (domain SubtractionFn 2 Quantity) | 3535 | (domain SubtractionFn 2 Quantity) | ||
| 3525 | (range SubtractionFn Quantity) | 3536 | (range SubtractionFn Quantity) | ||
| 3526 | (documentation SubtractionFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, | 3537 | (documentation SubtractionFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, | ||
| 3527 | then (&%SubtractionFn ?NUMBER1 ?NUMBER2) is the arithmetical difference | 3538 | then (&%SubtractionFn ?NUMBER1 ?NUMBER2) is the arithmetical difference | ||
| 3528 | between ?NUMBER1 and ?NUMBER2, i.e. ?NUMBER1 minus ?NUMBER2. An | 3539 | between ?NUMBER1 and ?NUMBER2, i.e. ?NUMBER1 minus ?NUMBER2. An | ||
| 3529 | exception occurs when ?NUMBER1 is equal to 0, in which case | 3540 | exception occurs when ?NUMBER1 is equal to 0, in which case | ||
| 3530 | (&%SubtractionFn ?NUMBER1 ?NUMBER2) is the negation of ?NUMBER2.") | 3541 | (&%SubtractionFn ?NUMBER1 ?NUMBER2) is the negation of ?NUMBER2.") | ||
| 3531 | 3542 | ||||
| 3532 | (equal (PredecessorFn ?NUMBER) (SubtractionFn ?NUMBER 1)) | 3543 | (equal (PredecessorFn ?NUMBER) (SubtractionFn ?NUMBER 1)) | ||
| 3533 | 3544 | ||||
| 3534 | (instance DivisionFn BinaryFunction) | 3545 | (instance DivisionFn BinaryFunction) | ||
| 3535 | (instance DivisionFn AssociativeFunction) | 3546 | (instance DivisionFn AssociativeFunction) | ||
| 3536 | (instance DivisionFn RelationExtendedToQuantities) | 3547 | (instance DivisionFn RelationExtendedToQuantities) | ||
| 3537 | (instance DivisionFn PartialValuedRelation) | 3548 | (instance DivisionFn PartialValuedRelation) | ||
| 3538 | (domain DivisionFn 1 Quantity) | 3549 | (domain DivisionFn 1 Quantity) | ||
| 3539 | (domain DivisionFn 2 Quantity) | 3550 | (domain DivisionFn 2 Quantity) | ||
| 3540 | (range DivisionFn Quantity) | 3551 | (range DivisionFn Quantity) | ||
| 3541 | (documentation DivisionFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, then | 3552 | (documentation DivisionFn "If ?NUMBER1 and ?NUMBER2 are &%Numbers, then | ||
| 3542 | (&%DivisionFn ?NUMBER1 ?NUMBER2) is the result of dividing ?NUMBER1 by | 3553 | (&%DivisionFn ?NUMBER1 ?NUMBER2) is the result of dividing ?NUMBER1 by | ||
| 3543 | ?NUMBER2. An exception occurs when ?NUMBER1 = 1, in which case | 3554 | ?NUMBER2. An exception occurs when ?NUMBER1 = 1, in which case | ||
| 3544 | (&%DivisionFn ?NUMBER1 ?NUMBER2) is the reciprocal of ?NUMBER2.") | 3555 | (&%DivisionFn ?NUMBER1 ?NUMBER2) is the reciprocal of ?NUMBER2.") | ||
| 3545 | 3556 | ||||
| 3546 | (=> | 3557 | (=> | ||
| 3547 | (instance ?NUMBER RationalNumber) | 3558 | (instance ?NUMBER RationalNumber) | ||
| 3548 | (exists (?INT1 ?INT2) | 3559 | (exists (?INT1 ?INT2) | ||
| 3549 | (and | 3560 | (and | ||
| 3550 | (instance ?INT1 Integer) | 3561 | (instance ?INT1 Integer) | ||
| 3551 | (instance ?INT2 Integer) | 3562 | (instance ?INT2 Integer) | ||
| 3552 | (equal ?NUMBER (DivisionFn ?INT1 ?INT2))))) | 3563 | (equal ?NUMBER (DivisionFn ?INT1 ?INT2))))) | ||
| 3553 | 3564 | ||||
| 3554 | (instance AbsoluteValueFn UnaryFunction) | 3565 | (instance AbsoluteValueFn UnaryFunction) | ||
| 3555 | (instance AbsoluteValueFn TotalValuedRelation) | 3566 | (instance AbsoluteValueFn TotalValuedRelation) | ||
| 3556 | (domain AbsoluteValueFn 1 RealNumber) | 3567 | (domain AbsoluteValueFn 1 RealNumber) | ||
| 3557 | (range AbsoluteValueFn NonnegativeRealNumber) | 3568 | (range AbsoluteValueFn NonnegativeRealNumber) | ||
| 3558 | (documentation AbsoluteValueFn "The value of (&%AbsoluteValueFn ?NUMBER) | 3569 | (documentation AbsoluteValueFn "The value of (&%AbsoluteValueFn ?NUMBER) | ||
| 3559 | is the absolute value of the &%RealNumber ?NUMBER.") | 3570 | is the absolute value of the &%RealNumber ?NUMBER.") | ||
| 3560 | 3571 | ||||
| 3561 | (<=> | 3572 | (<=> | ||
| 3562 | (and | 3573 | (and | ||
| 3563 | (equal (AbsoluteValueFn ?NUMBER1) ?NUMBER2) | 3574 | (equal (AbsoluteValueFn ?NUMBER1) ?NUMBER2) | ||
| 3564 | (instance ?NUMBER1 RealNumber) | 3575 | (instance ?NUMBER1 RealNumber) | ||
| 3565 | (instance ?NUMBER2 RealNumber)) | 3576 | (instance ?NUMBER2 RealNumber)) | ||
| 3566 | (or | 3577 | (or | ||
| 3567 | (and | 3578 | (and | ||
| 3568 | (instance ?NUMBER1 NonnegativeRealNumber) | 3579 | (instance ?NUMBER1 NonnegativeRealNumber) | ||
| 3569 | (equal ?NUMBER1 ?NUMBER2)) | 3580 | (equal ?NUMBER1 ?NUMBER2)) | ||
| 3570 | (and | 3581 | (and | ||
| 3571 | (instance ?NUMBER1 NegativeRealNumber) | 3582 | (instance ?NUMBER1 NegativeRealNumber) | ||
| 3572 | (equal ?NUMBER2 (SubtractionFn 0 ?NUMBER1))))) | 3583 | (equal ?NUMBER2 (SubtractionFn 0 ?NUMBER1))))) | ||
| 3573 | 3584 | ||||
| 3574 | (instance CeilingFn UnaryFunction) | 3585 | (instance CeilingFn UnaryFunction) | ||
| 3575 | (instance CeilingFn TotalValuedRelation) | 3586 | (instance CeilingFn TotalValuedRelation) | ||
| 3576 | (domain CeilingFn 1 RealNumber) | 3587 | (domain CeilingFn 1 RealNumber) | ||
| 3577 | (range CeilingFn Integer) | 3588 | (range CeilingFn Integer) | ||
| 3578 | (documentation CeilingFn "(&%CeilingFn ?NUMBER) returns the smallest | 3589 | (documentation CeilingFn "(&%CeilingFn ?NUMBER) returns the smallest | ||
| 3579 | &%Integer greater than or equal to the &%RealNumber ?NUMBER.") | 3590 | &%Integer greater than or equal to the &%RealNumber ?NUMBER.") | ||
| 3580 | 3591 | ||||
| 3581 | (=> | 3592 | (=> | ||
| 3582 | (equal (CeilingFn ?NUMBER) ?INT) | 3593 | (equal (CeilingFn ?NUMBER) ?INT) | ||
| 3583 | (not | 3594 | (not | ||
| 3584 | (exists (?OTHERINT) | 3595 | (exists (?OTHERINT) | ||
| 3585 | (and | 3596 | (and | ||
| 3586 | (instance ?OTHERINT Integer) | 3597 | (instance ?OTHERINT Integer) | ||
| 3587 | (greaterThanOrEqualTo ?OTHERINT ?NUMBER) | 3598 | (greaterThanOrEqualTo ?OTHERINT ?NUMBER) | ||
| 3588 | (lessThan ?OTHERINT ?INT))))) | 3599 | (lessThan ?OTHERINT ?INT))))) | ||
| 3589 | 3600 | ||||
| 3590 | (instance CosineFn UnaryFunction) | 3601 | (instance CosineFn UnaryFunction) | ||
| 3591 | (instance CosineFn TotalValuedRelation) | 3602 | (instance CosineFn TotalValuedRelation) | ||
| 3592 | (domain CosineFn 1 PlaneAngleMeasure) | 3603 | (domain CosineFn 1 PlaneAngleMeasure) | ||
| 3593 | (range CosineFn RealNumber) | 3604 | (range CosineFn RealNumber) | ||
| 3594 | (documentation CosineFn "(&%CosineFn ?DEGREE) returns the cosine of the | 3605 | (documentation CosineFn "(&%CosineFn ?DEGREE) returns the cosine of the | ||
| 3595 | &%PlaneAngleMeasure ?DEGREE. The cosine of ?DEGREE is the ratio of the | 3606 | &%PlaneAngleMeasure ?DEGREE. The cosine of ?DEGREE is the ratio of the | ||
| 3596 | side next to ?DEGREE to the hypotenuse in a right-angled triangle.") | 3607 | side next to ?DEGREE to the hypotenuse in a right-angled triangle.") | ||
| 3597 | 3608 | ||||
| 3598 | (instance DenominatorFn UnaryFunction) | 3609 | (instance DenominatorFn UnaryFunction) | ||
| 3599 | (instance DenominatorFn TotalValuedRelation) | 3610 | (instance DenominatorFn TotalValuedRelation) | ||
| 3600 | (domain DenominatorFn 1 RealNumber) | 3611 | (domain DenominatorFn 1 RealNumber) | ||
| 3601 | (range DenominatorFn Integer) | 3612 | (range DenominatorFn Integer) | ||
| 3602 | (documentation DenominatorFn "(&%DenominatorFn ?NUMBER) returns the | 3613 | (documentation DenominatorFn "(&%DenominatorFn ?NUMBER) returns the | ||
| 3603 | denominator of the canonical reduced form of the &%RealNumber ?NUMBER.") | 3614 | denominator of the canonical reduced form of the &%RealNumber ?NUMBER.") | ||
| 3604 | 3615 | ||||
| 3605 | (instance ExponentiationFn BinaryFunction) | 3616 | (instance ExponentiationFn BinaryFunction) | ||
| 3606 | (instance ExponentiationFn RelationExtendedToQuantities) | 3617 | (instance ExponentiationFn RelationExtendedToQuantities) | ||
| 3607 | (instance ExponentiationFn TotalValuedRelation) | 3618 | (instance ExponentiationFn TotalValuedRelation) | ||
| 3608 | (domain ExponentiationFn 1 Quantity) | 3619 | (domain ExponentiationFn 1 Quantity) | ||
| 3609 | (domain ExponentiationFn 2 Integer) | 3620 | (domain ExponentiationFn 2 Integer) | ||
| 3610 | (range ExponentiationFn Quantity) | 3621 | (range ExponentiationFn Quantity) | ||
| 3611 | (documentation ExponentiationFn "(&%ExponentiationFn ?NUMBER ?INT) returns | 3622 | (documentation ExponentiationFn "(&%ExponentiationFn ?NUMBER ?INT) returns | ||
| 3612 | the &%RealNumber ?NUMBER raised to the power of the &%Integer ?INT.") | 3623 | the &%RealNumber ?NUMBER raised to the power of the &%Integer ?INT.") | ||
| 3613 | 3624 | ||||
| 3614 | (instance FloorFn UnaryFunction) | 3625 | (instance FloorFn UnaryFunction) | ||
| 3615 | (instance FloorFn TotalValuedRelation) | 3626 | (instance FloorFn TotalValuedRelation) | ||
| 3616 | (domain FloorFn 1 RealNumber) | 3627 | (domain FloorFn 1 RealNumber) | ||
| 3617 | (range FloorFn Integer) | 3628 | (range FloorFn Integer) | ||
| 3618 | (documentation FloorFn "(&%FloorFn ?NUMBER) returns the largest &%Integer | 3629 | (documentation FloorFn "(&%FloorFn ?NUMBER) returns the largest &%Integer | ||
| 3619 | less than or equal to the &%RealNumber ?NUMBER.") | 3630 | less than or equal to the &%RealNumber ?NUMBER.") | ||
| 3620 | 3631 | ||||
| 3621 | (=> | 3632 | (=> | ||
| 3622 | (equal (FloorFn ?NUMBER) ?INT) | 3633 | (equal (FloorFn ?NUMBER) ?INT) | ||
| 3623 | (not | 3634 | (not | ||
| 3624 | (exists (?OTHERINT) | 3635 | (exists (?OTHERINT) | ||
| 3625 | (and | 3636 | (and | ||
| 3626 | (instance ?OTHERINT Integer) | 3637 | (instance ?OTHERINT Integer) | ||
| 3627 | (lessThanOrEqualTo ?OTHERINT ?NUMBER) | 3638 | (lessThanOrEqualTo ?OTHERINT ?NUMBER) | ||
| 3628 | (greaterThan ?OTHERINT ?INT))))) | 3639 | (greaterThan ?OTHERINT ?INT))))) | ||
| 3629 | 3640 | ||||
| 3630 | (instance GreatestCommonDivisorFn Function) | 3641 | (instance GreatestCommonDivisorFn Function) | ||
| 3631 | (instance GreatestCommonDivisorFn VariableArityRelation) | 3642 | (instance GreatestCommonDivisorFn VariableArityRelation) | ||
| 3632 | (instance GreatestCommonDivisorFn PartialValuedRelation) | 3643 | (instance GreatestCommonDivisorFn PartialValuedRelation) | ||
| 3633 | (range GreatestCommonDivisorFn Integer) | 3644 | (range GreatestCommonDivisorFn Integer) | ||
| 3634 | (documentation GreatestCommonDivisorFn "(&%GreatestCommonDivisorFn | 3645 | (documentation GreatestCommonDivisorFn "(&%GreatestCommonDivisorFn | ||
| 3635 | ?NUMBER1 ?NUMBER2 ... ?NUMBER) returns the greatest common divisor of | 3646 | ?NUMBER1 ?NUMBER2 ... ?NUMBER) returns the greatest common divisor of | ||
| 3636 | ?NUMBER1 through ?NUMBER.") | 3647 | ?NUMBER1 through ?NUMBER.") | ||
| 3637 | 3648 | ||||
| 3638 | (=> | 3649 | (=> | ||
| 3639 | (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) | 3650 | (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) | ||
| 3640 | (forall (?ELEMENT) | 3651 | (forall (?ELEMENT) | ||
| 3641 | (=> | 3652 | (=> | ||
| 3642 | (inList ?ELEMENT (ListFn @ROW)) | 3653 | (inList ?ELEMENT (ListFn @ROW)) | ||
| 3643 | (equal (RemainderFn ?ELEMENT ?NUMBER) 0)))) | 3654 | (equal (RemainderFn ?ELEMENT ?NUMBER) 0)))) | ||
| 3644 | 3655 | ||||
| 3645 | (=> | 3656 | (=> | ||
| 3646 | (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) | 3657 | (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) | ||
| 3647 | (not (exists (?GREATER) | 3658 | (not (exists (?GREATER) | ||
| 3648 | (and | 3659 | (and | ||
| 3649 | (greaterThan ?GREATER ?NUMBER) | 3660 | (greaterThan ?GREATER ?NUMBER) | ||
| 3650 | (forall (?ELEMENT) | 3661 | (forall (?ELEMENT) | ||
| 3651 | (=> | 3662 | (=> | ||
| 3652 | (inList ?ELEMENT (ListFn @ROW)) | 3663 | (inList ?ELEMENT (ListFn @ROW)) | ||
| 3653 | (equal (RemainderFn ?ELEMENT ?GREATER) 0))))))) | 3664 | (equal (RemainderFn ?ELEMENT ?GREATER) 0))))))) | ||
| 3654 | 3665 | ||||
| 3655 | (instance ImaginaryPartFn UnaryFunction) | 3666 | (instance ImaginaryPartFn UnaryFunction) | ||
| 3656 | (instance ImaginaryPartFn TotalValuedRelation) | 3667 | (instance ImaginaryPartFn TotalValuedRelation) | ||
| 3657 | (domain ImaginaryPartFn 1 ComplexNumber) | 3668 | (domain ImaginaryPartFn 1 ComplexNumber) | ||
| 3658 | (range ImaginaryPartFn ImaginaryNumber) | 3669 | (range ImaginaryPartFn ImaginaryNumber) | ||
| 3659 | (documentation ImaginaryPartFn "(&%ImaginaryPartFn ?NUMBER) returns | 3670 | (documentation ImaginaryPartFn "(&%ImaginaryPartFn ?NUMBER) returns | ||
| 3660 | the part of ?NUMBER that has the square root of -1 as its factor.") | 3671 | the part of ?NUMBER that has the square root of -1 as its factor.") | ||
| 3661 | 3672 | ||||
| 3662 | (=> | 3673 | (=> | ||
| 3663 | (instance ?NUMBER ComplexNumber) | 3674 | (instance ?NUMBER ComplexNumber) | ||
| 3664 | (exists (?PART1 ?PART2) | 3675 | (exists (?PART1 ?PART2) | ||
| 3665 | (and | 3676 | (and | ||
| 3666 | (equal ?PART1 (RealNumberFn ?NUMBER)) | 3677 | (equal ?PART1 (RealNumberFn ?NUMBER)) | ||
| 3667 | (equal ?PART2 (ImaginaryPartFn ?NUMBER))))) | 3678 | (equal ?PART2 (ImaginaryPartFn ?NUMBER))))) | ||
| 3668 | 3679 | ||||
| 3669 | (instance IntegerSquareRootFn UnaryFunction) | 3680 | (instance IntegerSquareRootFn UnaryFunction) | ||
| 3670 | (instance IntegerSquareRootFn PartialValuedRelation) | 3681 | (instance IntegerSquareRootFn PartialValuedRelation) | ||
| 3671 | (domain IntegerSquareRootFn 1 RealNumber) | 3682 | (domain IntegerSquareRootFn 1 RealNumber) | ||
| 3672 | (range IntegerSquareRootFn NonnegativeInteger) | 3683 | (range IntegerSquareRootFn NonnegativeInteger) | ||
| 3673 | (documentation IntegerSquareRootFn "(&%IntegerSquareRootFn ?NUMBER) | 3684 | (documentation IntegerSquareRootFn "(&%IntegerSquareRootFn ?NUMBER) | ||
| 3674 | returns the integer square root of ?NUMBER.") | 3685 | returns the integer square root of ?NUMBER.") | ||
| 3675 | 3686 | ||||
| 3676 | (instance LeastCommonMultipleFn Function) | 3687 | (instance LeastCommonMultipleFn Function) | ||
| 3677 | (instance LeastCommonMultipleFn PartialValuedRelation) | 3688 | (instance LeastCommonMultipleFn PartialValuedRelation) | ||
| 3678 | (instance LeastCommonMultipleFn VariableArityRelation) | 3689 | (instance LeastCommonMultipleFn VariableArityRelation) | ||
| 3679 | (range LeastCommonMultipleFn Integer) | 3690 | (range LeastCommonMultipleFn Integer) | ||
| 3680 | (documentation LeastCommonMultipleFn "(&%LeastCommonMultipleFn | 3691 | (documentation LeastCommonMultipleFn "(&%LeastCommonMultipleFn | ||
| 3681 | ?NUMBER1 ?NUMBER2 ... ?NUMBER) returns the least common multiple of | 3692 | ?NUMBER1 ?NUMBER2 ... ?NUMBER) returns the least common multiple of | ||
| 3682 | ?NUMBER1 through ?NUMBER.") | 3693 | ?NUMBER1 through ?NUMBER.") | ||
| 3683 | 3694 | ||||
| 3684 | (=> | 3695 | (=> | ||
| 3685 | (equal (LeastCommonMultipleFn @ROW) ?NUMBER) | 3696 | (equal (LeastCommonMultipleFn @ROW) ?NUMBER) | ||
| 3686 | (forall (?ELEMENT) | 3697 | (forall (?ELEMENT) | ||
| 3687 | (=> | 3698 | (=> | ||
| 3688 | (inList ?ELEMENT (ListFn @ROW)) | 3699 | (inList ?ELEMENT (ListFn @ROW)) | ||
| 3689 | (equal (RemainderFn ?NUMBER ?ELEMENT) 0)))) | 3700 | (equal (RemainderFn ?NUMBER ?ELEMENT) 0)))) | ||
| 3690 | 3701 | ||||
| 3691 | (=> | 3702 | (=> | ||
| 3692 | (equal (LeastCommonMultipleFn @ROW) ?NUMBER) | 3703 | (equal (LeastCommonMultipleFn @ROW) ?NUMBER) | ||
| 3693 | (not (exists (?LESS) | 3704 | (not (exists (?LESS) | ||
| 3694 | (and | 3705 | (and | ||
| 3695 | (lessThan ?LESS ?NUMBER) | 3706 | (lessThan ?LESS ?NUMBER) | ||
| 3696 | (forall (?ELEMENT) | 3707 | (forall (?ELEMENT) | ||
| 3697 | (=> | 3708 | (=> | ||
| 3698 | (inList ?ELEMENT (ListFn @ROW)) | 3709 | (inList ?ELEMENT (ListFn @ROW)) | ||
| 3699 | (equal (RemainderFn ?LESS ?ELEMENT) 0))))))) | 3710 | (equal (RemainderFn ?LESS ?ELEMENT) 0))))))) | ||
| 3700 | 3711 | ||||
| 3701 | (instance LogFn BinaryFunction) | 3712 | (instance LogFn BinaryFunction) | ||
| 3702 | (domain LogFn 1 RealNumber) | 3713 | (domain LogFn 1 RealNumber) | ||
| 3703 | (domain LogFn 2 PositiveInteger) | 3714 | (domain LogFn 2 PositiveInteger) | ||
| 3704 | (range LogFn RealNumber) | 3715 | (range LogFn RealNumber) | ||
| 3705 | (documentation LogFn "(LogFn ?NUMBER ?INT) returns the logarithm of the | 3716 | (documentation LogFn "(LogFn ?NUMBER ?INT) returns the logarithm of the | ||
| 3706 | &%RealNumber ?NUMBER in the base denoted by the &%Integer ?INT.") | 3717 | &%RealNumber ?NUMBER in the base denoted by the &%Integer ?INT.") | ||
| 3707 | 3718 | ||||
| 3708 | (instance MaxFn BinaryFunction) | 3719 | (instance MaxFn BinaryFunction) | ||
| 3709 | (instance MaxFn AssociativeFunction) | 3720 | (instance MaxFn AssociativeFunction) | ||
| 3710 | (instance MaxFn CommutativeFunction) | 3721 | (instance MaxFn CommutativeFunction) | ||
| 3711 | (instance MaxFn RelationExtendedToQuantities) | 3722 | (instance MaxFn RelationExtendedToQuantities) | ||
| 3712 | (instance MaxFn TotalValuedRelation) | 3723 | (instance MaxFn TotalValuedRelation) | ||
| 3713 | (domain MaxFn 1 Quantity) | 3724 | (domain MaxFn 1 Quantity) | ||
| 3714 | (domain MaxFn 2 Quantity) | 3725 | (domain MaxFn 2 Quantity) | ||
| 3715 | (range MaxFn Quantity) | 3726 | (range MaxFn Quantity) | ||
| 3716 | (documentation MaxFn "(&%MaxFn ?NUMBER1 ?NUMBER2) is the largest of | 3727 | (documentation MaxFn "(&%MaxFn ?NUMBER1 ?NUMBER2) is the largest of | ||
| 3717 | ?NUMBER1 and ?NUMBER2. In cases where ?NUMBER1 is equal to ?NUMBER2, | 3728 | ?NUMBER1 and ?NUMBER2. In cases where ?NUMBER1 is equal to ?NUMBER2, | ||
| 3718 | &%MaxFn returns one of its arguments.") | 3729 | &%MaxFn returns one of its arguments.") | ||
| 3719 | 3730 | ||||
| 3720 | (=> | 3731 | (=> | ||
| 3721 | (equal (MaxFn ?NUMBER1 ?NUMBER2) ?NUMBER) | 3732 | (equal (MaxFn ?NUMBER1 ?NUMBER2) ?NUMBER) | ||
| 3722 | (or | 3733 | (or | ||
| 3723 | (and | 3734 | (and | ||
| 3724 | (equal ?NUMBER ?NUMBER1) | 3735 | (equal ?NUMBER ?NUMBER1) | ||
| 3725 | (greaterThan ?NUMBER1 ?NUMBER2)) | 3736 | (greaterThan ?NUMBER1 ?NUMBER2)) | ||
| 3726 | (and | 3737 | (and | ||
| 3727 | (equal ?NUMBER ?NUMBER2) | 3738 | (equal ?NUMBER ?NUMBER2) | ||
| 3728 | (greaterThan ?NUMBER2 ?NUMBER1)) | 3739 | (greaterThan ?NUMBER2 ?NUMBER1)) | ||
| 3729 | (and | 3740 | (and | ||
| 3730 | (equal ?NUMBER ?NUMBER1) | 3741 | (equal ?NUMBER ?NUMBER1) | ||
| 3731 | (equal ?NUMBER ?NUMBER2)))) | 3742 | (equal ?NUMBER ?NUMBER2)))) | ||
| 3732 | 3743 | ||||
| 3733 | (instance MinFn BinaryFunction) | 3744 | (instance MinFn BinaryFunction) | ||
| 3734 | (instance MinFn AssociativeFunction) | 3745 | (instance MinFn AssociativeFunction) | ||
| 3735 | (instance MinFn CommutativeFunction) | 3746 | (instance MinFn CommutativeFunction) | ||
| 3736 | (instance MinFn RelationExtendedToQuantities) | 3747 | (instance MinFn RelationExtendedToQuantities) | ||
| 3737 | (instance MinFn TotalValuedRelation) | 3748 | (instance MinFn TotalValuedRelation) | ||
| 3738 | (domain MinFn 1 Quantity) | 3749 | (domain MinFn 1 Quantity) | ||
| 3739 | (domain MinFn 2 Quantity) | 3750 | (domain MinFn 2 Quantity) | ||
| 3740 | (range MinFn Quantity) | 3751 | (range MinFn Quantity) | ||
| 3741 | (documentation MinFn "(&%MinFn ?NUMBER1 ?NUMBER2) is the smallest of | 3752 | (documentation MinFn "(&%MinFn ?NUMBER1 ?NUMBER2) is the smallest of | ||
| 3742 | ?NUMBER1 and ?NUMBER2. In cases where ?NUMBER1 is equal to ?NUMBER2, | 3753 | ?NUMBER1 and ?NUMBER2. In cases where ?NUMBER1 is equal to ?NUMBER2, | ||
| 3743 | &%MinFn returns one of its arguments.") | 3754 | &%MinFn returns one of its arguments.") | ||
| 3744 | 3755 | ||||
| 3745 | (=> | 3756 | (=> | ||
| 3746 | (equal (MinFn ?NUMBER1 ?NUMBER2) ?NUMBER) | 3757 | (equal (MinFn ?NUMBER1 ?NUMBER2) ?NUMBER) | ||
| 3747 | (or | 3758 | (or | ||
| 3748 | (and | 3759 | (and | ||
| 3749 | (equal ?NUMBER ?NUMBER1) | 3760 | (equal ?NUMBER ?NUMBER1) | ||
| 3750 | (lessThan ?NUMBER1 ?NUMBER2)) | 3761 | (lessThan ?NUMBER1 ?NUMBER2)) | ||
| 3751 | (and | 3762 | (and | ||
| 3752 | (equal ?NUMBER ?NUMBER2) | 3763 | (equal ?NUMBER ?NUMBER2) | ||
| 3753 | (lessThan ?NUMBER2 ?NUMBER1)) | 3764 | (lessThan ?NUMBER2 ?NUMBER1)) | ||
| 3754 | (and | 3765 | (and | ||
| 3755 | (equal ?NUMBER ?NUMBER1) | 3766 | (equal ?NUMBER ?NUMBER1) | ||
| 3756 | (equal ?NUMBER ?NUMBER2)))) | 3767 | (equal ?NUMBER ?NUMBER2)))) | ||
| 3757 | 3768 | ||||
| 3758 | (instance NumeratorFn UnaryFunction) | 3769 | (instance NumeratorFn UnaryFunction) | ||
| 3759 | (instance NumeratorFn TotalValuedRelation) | 3770 | (instance NumeratorFn TotalValuedRelation) | ||
| 3760 | (domain NumeratorFn 1 RealNumber) | 3771 | (domain NumeratorFn 1 RealNumber) | ||
| 3761 | (range NumeratorFn Integer) | 3772 | (range NumeratorFn Integer) | ||
| 3762 | (documentation NumeratorFn "(&%NumeratorFn ?NUMBER) returns the numerator | 3773 | (documentation NumeratorFn "(&%NumeratorFn ?NUMBER) returns the numerator | ||
| 3763 | of the canonical reduced form ?NUMBER.") | 3774 | of the canonical reduced form ?NUMBER.") | ||
| 3764 | 3775 | ||||
| 3765 | (instance Pi PositiveRealNumber) | 3776 | (instance Pi PositiveRealNumber) | ||
| 3766 | (documentation Pi "&%Pi is the &%RealNumber that | 3777 | (documentation Pi "&%Pi is the &%RealNumber that | ||
| 3767 | is the ratio of the perimeter of a circle to its diameter. It is | 3778 | is the ratio of the perimeter of a circle to its diameter. It is | ||
| 3768 | approximately equal to 3.141592653589793.") | 3779 | approximately equal to 3.141592653589793.") | ||
| 3769 | 3780 | ||||
| 3770 | (instance NumberE PositiveRealNumber) | 3781 | (instance NumberE PositiveRealNumber) | ||
| 3771 | (documentation NumberE "&%NumberE is the &%RealNumber that is the base for | 3782 | (documentation NumberE "&%NumberE is the &%RealNumber that is the base for | ||
| 3772 | natural logarithms. It is approximately equal to 2.718282.") | 3783 | natural logarithms. It is approximately equal to 2.718282.") | ||
| 3773 | 3784 | ||||
| 3774 | (instance RationalNumberFn UnaryFunction) | 3785 | (instance RationalNumberFn UnaryFunction) | ||
| 3775 | (domain RationalNumberFn 1 Number) | 3786 | (domain RationalNumberFn 1 Number) | ||
| 3776 | (range RationalNumberFn RationalNumber) | 3787 | (range RationalNumberFn RationalNumber) | ||
| 3777 | (documentation RationalNumberFn "(&%RationalNumberFn ?NUMBER) returns | 3788 | (documentation RationalNumberFn "(&%RationalNumberFn ?NUMBER) returns | ||
| 3778 | the rational representation of ?NUMBER.") | 3789 | the rational representation of ?NUMBER.") | ||
| 3779 | 3790 | ||||
| 3780 | (instance RealNumberFn UnaryFunction) | 3791 | (instance RealNumberFn UnaryFunction) | ||
| 3781 | (domain RealNumberFn 1 Number) | 3792 | (domain RealNumberFn 1 Number) | ||
| 3782 | (range RealNumberFn RealNumber) | 3793 | (range RealNumberFn RealNumber) | ||
| 3783 | (documentation RealNumberFn "(RealNumberFn ?NUMBER) returns the part of | 3794 | (documentation RealNumberFn "(RealNumberFn ?NUMBER) returns the part of | ||
| 3784 | ?NUMBER that is a &%RealNumber.") | 3795 | ?NUMBER that is a &%RealNumber.") | ||
| 3785 | 3796 | ||||
| 3786 | (instance ReciprocalFn UnaryFunction) | 3797 | (instance ReciprocalFn UnaryFunction) | ||
| 3787 | (instance ReciprocalFn RelationExtendedToQuantities) | 3798 | (instance ReciprocalFn RelationExtendedToQuantities) | ||
| 3788 | (instance ReciprocalFn TotalValuedRelation) | 3799 | (instance ReciprocalFn TotalValuedRelation) | ||
| 3789 | (domain ReciprocalFn 1 Quantity) | 3800 | (domain ReciprocalFn 1 Quantity) | ||
| 3790 | (range ReciprocalFn Quantity) | 3801 | (range ReciprocalFn Quantity) | ||
| 3791 | (documentation ReciprocalFn "(ReciprocalFn ?NUMBER) is the reciprocal | 3802 | (documentation ReciprocalFn "(ReciprocalFn ?NUMBER) is the reciprocal | ||
| 3792 | element of ?NUMBER with respect to the multiplication operator | 3803 | element of ?NUMBER with respect to the multiplication operator | ||
| 3793 | (&%MultiplicationFn), i.e. 1/?NUMBER. Not all numbers have a reciprocal | 3804 | (&%MultiplicationFn), i.e. 1/?NUMBER. Not all numbers have a reciprocal | ||
| 3794 | element. For example the number 0 does not. If a number ?NUMBER has a | 3805 | element. For example the number 0 does not. If a number ?NUMBER has a | ||
| 3795 | reciprocal ?RECIP, then the product of ?NUMBER and ?RECIP will be | 3806 | reciprocal ?RECIP, then the product of ?NUMBER and ?RECIP will be | ||
| 3796 | 1, e.g. 3*1/3 = 1. The reciprocal of an element is &%equal to | 3807 | 1, e.g. 3*1/3 = 1. The reciprocal of an element is &%equal to | ||
| 3797 | applying the &%ExponentiationFn function to the element to the power | 3808 | applying the &%ExponentiationFn function to the element to the power | ||
| 3798 | -1.") | 3809 | -1.") | ||
| 3799 | 3810 | ||||
| 3800 | (=> | 3811 | (=> | ||
| 3801 | (instance ?NUMBER Quantity) | 3812 | (instance ?NUMBER Quantity) | ||
| 3802 | (equal (ReciprocalFn ?NUMBER) (ExponentiationFn ?NUMBER -1))) | 3813 | (equal (ReciprocalFn ?NUMBER) (ExponentiationFn ?NUMBER -1))) | ||
| 3803 | 3814 | ||||
| 3804 | (=> | 3815 | (=> | ||
| 3805 | (instance ?NUMBER Quantity) | 3816 | (instance ?NUMBER Quantity) | ||
| 3806 | (equal 1 (MultiplicationFn ?NUMBER (ReciprocalFn ?NUMBER)))) | 3817 | (equal 1 (MultiplicationFn ?NUMBER (ReciprocalFn ?NUMBER)))) | ||
| 3807 | 3818 | ||||
| 3808 | (instance RemainderFn BinaryFunction) | 3819 | (instance RemainderFn BinaryFunction) | ||
| 3809 | (instance RemainderFn RelationExtendedToQuantities) | 3820 | (instance RemainderFn RelationExtendedToQuantities) | ||
| 3810 | (instance RemainderFn PartialValuedRelation) | 3821 | (instance RemainderFn PartialValuedRelation) | ||
| 3811 | (domain RemainderFn 1 Quantity) | 3822 | (domain RemainderFn 1 Quantity) | ||
| 3812 | (domain RemainderFn 2 Quantity) | 3823 | (domain RemainderFn 2 Quantity) | ||
| 3813 | (range RemainderFn Quantity) | 3824 | (range RemainderFn Quantity) | ||
| 3814 | (documentation RemainderFn "(RemainderFn ?NUMBER ?DIVISOR) is the | 3825 | (documentation RemainderFn "(RemainderFn ?NUMBER ?DIVISOR) is the | ||
| 3815 | remainder of the number ?NUMBER divided by the number ?DIVISOR. | 3826 | remainder of the number ?NUMBER divided by the number ?DIVISOR. | ||
| 3816 | The result has the same sign as ?DIVISOR.") | 3827 | The result has the same sign as ?DIVISOR.") | ||
| 3817 | 3828 | ||||
| 3818 | (<=> | 3829 | (<=> | ||
| 3819 | (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER) | 3830 | (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER) | ||
| 3820 | (equal (AdditionFn (MultiplicationFn (FloorFn (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1)) | 3831 | (equal (AdditionFn (MultiplicationFn (FloorFn (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1)) | ||
| 3821 | 3832 | ||||
| 3822 | (=> | 3833 | (=> | ||
| 3823 | (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER) | 3834 | (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER) | ||
| 3824 | (equal (SignumFn ?NUMBER2) (SignumFn ?NUMBER))) | 3835 | (equal (SignumFn ?NUMBER2) (SignumFn ?NUMBER))) | ||
| 3825 | 3836 | ||||
| 3826 | 3837 | ||||
| 3827 | (=> | 3838 | (=> | ||
| 3828 | (instance ?NUMBER EvenInteger) | 3839 | (instance ?NUMBER EvenInteger) | ||
| 3829 | (equal (RemainderFn ?NUMBER 2) 0)) | 3840 | (equal (RemainderFn ?NUMBER 2) 0)) | ||
| 3830 | 3841 | ||||
| 3831 | (=> | 3842 | (=> | ||
| 3832 | (instance ?NUMBER OddInteger) | 3843 | (instance ?NUMBER OddInteger) | ||
| 3833 | (equal (RemainderFn ?NUMBER 2) 1)) | 3844 | (equal (RemainderFn ?NUMBER 2) 1)) | ||
| 3834 | 3845 | ||||
| 3835 | (=> | 3846 | (=> | ||
| 3836 | (instance ?PRIME PrimeNumber) | 3847 | (instance ?PRIME PrimeNumber) | ||
| 3837 | (forall (?NUMBER) | 3848 | (forall (?NUMBER) | ||
| 3838 | (=> | 3849 | (=> | ||
| 3839 | (equal (RemainderFn ?PRIME ?NUMBER) 0) | 3850 | (equal (RemainderFn ?PRIME ?NUMBER) 0) | ||
| 3840 | (or | 3851 | (or | ||
| 3841 | (equal ?NUMBER 1) | 3852 | (equal ?NUMBER 1) | ||
| 3842 | (equal ?NUMBER ?PRIME))))) | 3853 | (equal ?NUMBER ?PRIME))))) | ||
| 3843 | 3854 | ||||
| 3844 | (instance RoundFn UnaryFunction) | 3855 | (instance RoundFn UnaryFunction) | ||
| 3845 | (instance RoundFn RelationExtendedToQuantities) | 3856 | (instance RoundFn RelationExtendedToQuantities) | ||
| 3846 | (instance RoundFn TotalValuedRelation) | 3857 | (instance RoundFn TotalValuedRelation) | ||
| 3847 | (domain RoundFn 1 Quantity) | 3858 | (domain RoundFn 1 Quantity) | ||
| 3848 | (range RoundFn Quantity) | 3859 | (range RoundFn Quantity) | ||
| 3849 | (documentation RoundFn "(&%RoundFn ?NUMBER) is the &%Integer closest | 3860 | (documentation RoundFn "(&%RoundFn ?NUMBER) is the &%Integer closest | ||
| 3850 | to ?NUMBER on the number line. If ?NUMBER is halfway between two | 3861 | to ?NUMBER on the number line. If ?NUMBER is halfway between two | ||
| 3851 | &%Integers (for example 3.5), it denotes the larger &%Integer.") | 3862 | &%Integers (for example 3.5), it denotes the larger &%Integer.") | ||
| 3852 | 3863 | ||||
| 3853 | (=> | 3864 | (=> | ||
| 3854 | (equal (RoundFn ?NUMBER1) ?NUMBER2) | 3865 | (equal (RoundFn ?NUMBER1) ?NUMBER2) | ||
| 3855 | (or | 3866 | (or | ||
| 3856 | (=> | 3867 | (=> | ||
| 3857 | (lessThan (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) 0.5) | 3868 | (lessThan (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) 0.5) | ||
| 3858 | (equal ?NUMBER2 (FloorFn ?NUMBER1))) | 3869 | (equal ?NUMBER2 (FloorFn ?NUMBER1))) | ||
| 3859 | (=> | 3870 | (=> | ||
| 3860 | (greaterThanOrEqualTo (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) 0.5) | 3871 | (greaterThanOrEqualTo (SubtractionFn ?NUMBER1 (FloorFn ?NUMBER1)) 0.5) | ||
| 3861 | (equal ?NUMBER2 (CeilingFn ?NUMBER1))))) | 3872 | (equal ?NUMBER2 (CeilingFn ?NUMBER1))))) | ||
| 3862 | 3873 | ||||
| 3863 | (instance SignumFn UnaryFunction) | 3874 | (instance SignumFn UnaryFunction) | ||
| 3864 | (instance SignumFn TotalValuedRelation) | 3875 | (instance SignumFn TotalValuedRelation) | ||
| 3865 | (domain SignumFn 1 RealNumber) | 3876 | (domain SignumFn 1 RealNumber) | ||
| 3866 | (range SignumFn Integer) | 3877 | (range SignumFn Integer) | ||
| 3867 | (documentation SignumFn "(SignumFn ?NUMBER) denotes the sign of ?NUMBER. | 3878 | (documentation SignumFn "(SignumFn ?NUMBER) denotes the sign of ?NUMBER. | ||
| 3868 | This is one of the following values: -1, 1, or 0.") | 3879 | This is one of the following values: -1, 1, or 0.") | ||
| 3869 | 3880 | ||||
| 3870 | (=> | 3881 | (=> | ||
| 3871 | (instance ?NUMBER NonnegativeRealNumber) | 3882 | (instance ?NUMBER NonnegativeRealNumber) | ||
| 3872 | (or | 3883 | (or | ||
| 3873 | (equal (SignumFn ?NUMBER) 1) | 3884 | (equal (SignumFn ?NUMBER) 1) | ||
| 3874 | (equal (SignumFn ?NUMBER) 0))) | 3885 | (equal (SignumFn ?NUMBER) 0))) | ||
| 3875 | 3886 | ||||
| 3876 | (=> | 3887 | (=> | ||
| 3877 | (instance ?NUMBER PositiveRealNumber) | 3888 | (instance ?NUMBER PositiveRealNumber) | ||
| 3878 | (equal (SignumFn ?NUMBER) 1)) | 3889 | (equal (SignumFn ?NUMBER) 1)) | ||
| 3879 | 3890 | ||||
| 3880 | (=> | 3891 | (=> | ||
| 3881 | (instance ?NUMBER NegativeRealNumber) | 3892 | (instance ?NUMBER NegativeRealNumber) | ||
| 3882 | (equal (SignumFn ?NUMBER) -1)) | 3893 | (equal (SignumFn ?NUMBER) -1)) | ||
| 3883 | 3894 | ||||
| 3884 | (instance SineFn UnaryFunction) | 3895 | (instance SineFn UnaryFunction) | ||
| 3885 | (instance SineFn TotalValuedRelation) | 3896 | (instance SineFn TotalValuedRelation) | ||
| 3886 | (domain SineFn 1 PlaneAngleMeasure) | 3897 | (domain SineFn 1 PlaneAngleMeasure) | ||
| 3887 | (range SineFn RealNumber) | 3898 | (range SineFn RealNumber) | ||
| 3888 | (documentation SineFn "(&%SineFn ?DEGREE) is the sine of the | 3899 | (documentation SineFn "(&%SineFn ?DEGREE) is the sine of the | ||
| 3889 | &%PlaneAngleMeasure ?DEGREE. The sine of ?DEGREE is the ratio of the side | 3900 | &%PlaneAngleMeasure ?DEGREE. The sine of ?DEGREE is the ratio of the side | ||
| 3890 | opposite ?DEGREE to the hypotenuse in a right-angled triangle.") | 3901 | opposite ?DEGREE to the hypotenuse in a right-angled triangle.") | ||
| 3891 | 3902 | ||||
| 3892 | (instance SquareRootFn UnaryFunction) | 3903 | (instance SquareRootFn UnaryFunction) | ||
| 3893 | (domain SquareRootFn 1 RealNumber) | 3904 | (domain SquareRootFn 1 RealNumber) | ||
| 3894 | (range SquareRootFn Number) | 3905 | (range SquareRootFn Number) | ||
| 3895 | (documentation SquareRootFn "(SquareRootFn ?NUMBER) is the principal | 3906 | (documentation SquareRootFn "(SquareRootFn ?NUMBER) is the principal | ||
| 3896 | square root of ?NUMBER.") | 3907 | square root of ?NUMBER.") | ||
| 3897 | 3908 | ||||
| 3898 | (=> | 3909 | (=> | ||
| 3899 | (equal (SquareRootFn ?NUMBER1) ?NUMBER2) | 3910 | (equal (SquareRootFn ?NUMBER1) ?NUMBER2) | ||
| 3900 | (equal (MultiplicationFn ?NUMBER2 ?NUMBER2) ?NUMBER1)) | 3911 | (equal (MultiplicationFn ?NUMBER2 ?NUMBER2) ?NUMBER1)) | ||
| 3901 | 3912 | ||||
| 3902 | (instance TangentFn UnaryFunction) | 3913 | (instance TangentFn UnaryFunction) | ||
| 3903 | (instance TangenFn TotalValuedRelation) | 3914 | (instance TangenFn TotalValuedRelation) | ||
| 3904 | (domain TangentFn 1 PlaneAngleMeasure) | 3915 | (domain TangentFn 1 PlaneAngleMeasure) | ||
| 3905 | (range TangentFn RealNumber) | 3916 | (range TangentFn RealNumber) | ||
| 3906 | (documentation TangentFn "(&%TangentFn ?DEGREE) is the tangent of the | 3917 | (documentation TangentFn "(&%TangentFn ?DEGREE) is the tangent of the | ||
| 3907 | &%PlaneAngleMeasure ?DEGREE. The tangent of ?DEGREE is the ratio of | 3918 | &%PlaneAngleMeasure ?DEGREE. The tangent of ?DEGREE is the ratio of | ||
| 3908 | the side opposite ?DEGREE to the side next to ?DEGREE in a right-angled | 3919 | the side opposite ?DEGREE to the side next to ?DEGREE in a right-angled | ||
| 3909 | triangle.") | 3920 | triangle.") | ||
| 3910 | 3921 | ||||
| 3911 | (=> | 3922 | (=> | ||
| 3912 | (instance ?DEGREE PlaneAngleMeasure) | 3923 | (instance ?DEGREE PlaneAngleMeasure) | ||
| 3913 | (equal (TangentFn ?DEGREE) (DivisionFn (SineFn ?DEGREE) (CosineFn ?DEGREE)))) | 3924 | (equal (TangentFn ?DEGREE) (DivisionFn (SineFn ?DEGREE) (CosineFn ?DEGREE)))) | ||
| 3914 | 3925 | ||||
| 3915 | (instance identityElement BinaryPredicate) | 3926 | (instance identityElement BinaryPredicate) | ||
| 3916 | (instance identityElement AsymmetricRelation) | 3927 | (instance identityElement AsymmetricRelation) | ||
| 3917 | (domain identityElement 1 BinaryFunction) | 3928 | (domain identityElement 1 BinaryFunction) | ||
| 3918 | (domain identityElement 2 Entity) | 3929 | (domain identityElement 2 Entity) | ||
| 3919 | (documentation identityElement "An object ?ID is the identity element | 3930 | (documentation identityElement "An object ?ID is the identity element | ||
| 3920 | for BinaryFunction ?FUNCTION just in case, for every instance ?INST, | 3931 | for BinaryFunction ?FUNCTION just in case, for every instance ?INST, | ||
| 3921 | applying ?FUNCTION to ?INST and ?ID results in ?INST.") | 3932 | applying ?FUNCTION to ?INST and ?ID results in ?INST.") | ||
| 3922 | 3933 | ||||
| 3923 | (=> | 3934 | (=> | ||
| 3924 | (identityElement ?FUNCTION ?ID) | 3935 | (identityElement ?FUNCTION ?ID) | ||
| 3925 | (forall (?INST) | 3936 | (forall (?INST) | ||
| 3926 | (=> | 3937 | (=> | ||
| 3927 | (and | 3938 | (and | ||
| 3928 | (domain ?FUNCTION 1 ?CLASS) | 3939 | (domain ?FUNCTION 1 ?CLASS) | ||
| 3929 | (instance ?INST ?CLASS)) | 3940 | (instance ?INST ?CLASS)) | ||
| 3930 | (equal (AssignmentFn ?FUNCTION ?ID ?INST) ?INST)))) | 3941 | (equal (AssignmentFn ?FUNCTION ?ID ?INST) ?INST)))) | ||
| 3931 | 3942 | ||||
| 3932 | (identityElement MultiplicationFn 1) | 3943 | (identityElement MultiplicationFn 1) | ||
| 3933 | (identityElement AdditionFn 0) | 3944 | (identityElement AdditionFn 0) | ||
| 3934 | (identityElement SubtractionFn 0) | 3945 | (identityElement SubtractionFn 0) | ||
| 3935 | (identityElement DivisionFn 1) | 3946 | (identityElement DivisionFn 1) | ||
| 3936 | 3947 | ||||
| 3937 | (instance SuccessorFn UnaryFunction) | 3948 | (instance SuccessorFn UnaryFunction) | ||
| 3938 | (instance SuccessorFn TotalValuedRelation) | 3949 | (instance SuccessorFn TotalValuedRelation) | ||
| 3939 | (domain SuccessorFn 1 Integer) | 3950 | (domain SuccessorFn 1 Integer) | ||
| 3940 | (range SuccessorFn Integer) | 3951 | (range SuccessorFn Integer) | ||
| 3941 | (documentation SuccessorFn "A &%UnaryFunction that maps an &%Integer to | 3952 | (documentation SuccessorFn "A &%UnaryFunction that maps an &%Integer to | ||
| 3942 | its successor, e.g. the successor of 5 is 6.") | 3953 | its successor, e.g. the successor of 5 is 6.") | ||
| 3943 | 3954 | ||||
| 3944 | (=> | 3955 | (=> | ||
| 3945 | (equal (SuccessorFn ?INT1) (SuccessorFn ?INT2)) | 3956 | (equal (SuccessorFn ?INT1) (SuccessorFn ?INT2)) | ||
| 3946 | (equal ?INT1 ?INT2)) | 3957 | (equal ?INT1 ?INT2)) | ||
| 3947 | 3958 | ||||
| 3948 | (=> | 3959 | (=> | ||
| 3949 | (instance ?INT Integer) | 3960 | (instance ?INT Integer) | ||
| 3950 | (lessThan ?INT (SuccessorFn ?INT))) | 3961 | (lessThan ?INT (SuccessorFn ?INT))) | ||
| 3951 | 3962 | ||||
| 3952 | (=> | 3963 | (=> | ||
| 3953 | (and | 3964 | (and | ||
| 3954 | (instance ?INT1 Integer) | 3965 | (instance ?INT1 Integer) | ||
| 3955 | (instance ?INT2 Integer)) | 3966 | (instance ?INT2 Integer)) | ||
| 3956 | (not | 3967 | (not | ||
| 3957 | (and | 3968 | (and | ||
| 3958 | (lessThan ?INT1 ?INT2) | 3969 | (lessThan ?INT1 ?INT2) | ||
| 3959 | (lessThan ?INT2 (SuccessorFn ?INT1))))) | 3970 | (lessThan ?INT2 (SuccessorFn ?INT1))))) | ||
| 3960 | 3971 | ||||
| 3961 | (=> | 3972 | (=> | ||
| 3962 | (instance ?INT Integer) | 3973 | (instance ?INT Integer) | ||
| 3963 | (equal ?INT (SuccessorFn (PredecessorFn ?INT)))) | 3974 | (equal ?INT (SuccessorFn (PredecessorFn ?INT)))) | ||
| 3964 | 3975 | ||||
| 3965 | (=> | 3976 | (=> | ||
| 3966 | (instance ?INT Integer) | 3977 | (instance ?INT Integer) | ||
| 3967 | (equal ?INT (PredecessorFn (SuccessorFn ?INT)))) | 3978 | (equal ?INT (PredecessorFn (SuccessorFn ?INT)))) | ||
| 3968 | 3979 | ||||
| 3969 | (instance PredecessorFn UnaryFunction) | 3980 | (instance PredecessorFn UnaryFunction) | ||
| 3970 | (instance PredecessorFn TotalValuedRelation) | 3981 | (instance PredecessorFn TotalValuedRelation) | ||
| 3971 | (domain PredecessorFn 1 Integer) | 3982 | (domain PredecessorFn 1 Integer) | ||
| 3972 | (range PredecessorFn Integer) | 3983 | (range PredecessorFn Integer) | ||
| 3973 | (documentation PredecessorFn "A &%UnaryFunction that maps an &%Integer to | 3984 | (documentation PredecessorFn "A &%UnaryFunction that maps an &%Integer to | ||
| 3974 | its predecessor, e.g. the predecessor of 5 is 4.") | 3985 | its predecessor, e.g. the predecessor of 5 is 4.") | ||
| 3975 | 3986 | ||||
| 3976 | (=> | 3987 | (=> | ||
| 3977 | (equal (PredecessorFn ?INT1) (PredecessorFn ?INT2)) | 3988 | (equal (PredecessorFn ?INT1) (PredecessorFn ?INT2)) | ||
| 3978 | (equal ?INT1 ?INT2)) | 3989 | (equal ?INT1 ?INT2)) | ||
| 3979 | 3990 | ||||
| 3980 | (=> | 3991 | (=> | ||
| 3981 | (instance ?INT Integer) | 3992 | (instance ?INT Integer) | ||
| 3982 | (greaterThan ?INT (PredecessorFn ?INT))) | 3993 | (greaterThan ?INT (PredecessorFn ?INT))) | ||
| 3983 | 3994 | ||||
| 3984 | (=> | 3995 | (=> | ||
| 3985 | (and | 3996 | (and | ||
| 3986 | (instance ?INT1 Integer) | 3997 | (instance ?INT1 Integer) | ||
| 3987 | (instance ?INT2 Integer)) | 3998 | (instance ?INT2 Integer)) | ||
| 3988 | (not | 3999 | (not | ||
| 3989 | (and | 4000 | (and | ||
| 3990 | (lessThan ?INT2 ?INT1) | 4001 | (lessThan ?INT2 ?INT1) | ||
| 3991 | (lessThan (PredecessorFn ?INT1) ?INT2)))) | 4002 | (lessThan (PredecessorFn ?INT1) ?INT2)))) | ||
| 3992 | 4003 | ||||
| 3993 | ;; END FILE | 4004 | ;; END FILE | ||
| 3994 | 4005 | ||||
| 3995 | ;; BEGIN FILE | 4006 | ;; BEGIN FILE | ||
| 3996 | 4007 | ||||
| 3997 | 4008 | ||||
| 3998 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | 4009 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 3999 | ;; SET/CLASS THEORY ;; | 4010 | ;; SET/CLASS THEORY ;; | ||
| 4000 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | 4011 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 4001 | 4012 | ||||
| 4002 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | 4013 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | ||
| 4003 | ;; INCLUDES 'BASE ONTOLOGY' | 4014 | ;; INCLUDES 'BASE ONTOLOGY' | ||
| 4004 | 4015 | ||||
| 4005 | ;; The following part of the ontology covers set-theoretic predicates | 4016 | ;; The following part of the ontology covers set-theoretic predicates | ||
| 4006 | ;; and functions. Most of the content here is taken from the kif-sets | 4017 | ;; and functions. Most of the content here is taken from the kif-sets | ||
| 4007 | ;; ontology (available on the Ontolingua server). | 4018 | ;; ontology (available on the Ontolingua server). | ||
| 4008 | 4019 | ||||
| 4009 | (subrelation subset subclass) | 4020 | (subrelation subset subclass) | ||
| 4010 | (domain subset 1 Set) | 4021 | (domain subset 1 Set) | ||
| 4011 | (domain subset 2 Set) | 4022 | (domain subset 2 Set) | ||
| 4012 | (documentation subset "(subset ?SET1 ?SET2) is true just in case the | 4023 | (documentation subset "(subset ?SET1 ?SET2) is true just in case the | ||
| 4013 | &%elements of the &%Set ?SET1 are also &%elements of the &%Set ?SET2.") | 4024 | &%elements of the &%Set ?SET1 are also &%elements of the &%Set ?SET2.") | ||
| 4014 | 4025 | ||||
| 4015 | (=> | 4026 | (=> | ||
| 4016 | (subset ?SUBSET ?SET) | 4027 | (subset ?SUBSET ?SET) | ||
| 4017 | (forall (?ELEMENT) | 4028 | (forall (?ELEMENT) | ||
| 4018 | (=> | 4029 | (=> | ||
| 4019 | (element ?ELEMENT ?SUBSET) | 4030 | (element ?ELEMENT ?SUBSET) | ||
| 4020 | (element ?ELEMENT ?SET)))) | 4031 | (element ?ELEMENT ?SET)))) | ||
| 4021 | 4032 | ||||
| 4022 | (instance element BinaryPredicate) | 4033 | (instance element BinaryPredicate) | ||
| 4023 | (instance element AsymmetricRelation) | 4034 | (instance element AsymmetricRelation) | ||
| 4024 | (instance element IntransitiveRelation) | 4035 | (instance element IntransitiveRelation) | ||
| 4025 | (subrelation element instance) | 4036 | (subrelation element instance) | ||
| 4026 | (domain element 1 Entity) | 4037 | (domain element 1 Entity) | ||
| 4027 | (domain element 2 Set) | 4038 | (domain element 2 Set) | ||
| 4028 | (documentation element "(element ?ENTITY ?SET) is true just in case | 4039 | (documentation element "(element ?ENTITY ?SET) is true just in case | ||
| 4029 | ?ENTITY is contained in the &%Set ?SET. An &%Entity can be an &%element | 4040 | ?ENTITY is contained in the &%Set ?SET. An &%Entity can be an &%element | ||
| 4030 | of another &%Entity only if the latter is a &%Set.") | 4041 | of another &%Entity only if the latter is a &%Set.") | ||
| 4031 | 4042 | ||||
| 4032 | (=> | 4043 | (=> | ||
| 4033 | (forall (?ELEMENT) | 4044 | (forall (?ELEMENT) | ||
| 4034 | (<=> | 4045 | (<=> | ||
| 4035 | (element ?ELEMENT ?SET1) | 4046 | (element ?ELEMENT ?SET1) | ||
| 4036 | (element ?ELEMENT ?SET2))) | 4047 | (element ?ELEMENT ?SET2))) | ||
| 4037 | (equal ?SET1 ?SET2)) | 4048 | (equal ?SET1 ?SET2)) | ||
| 4038 | 4049 | ||||
| 4039 | (instance UnionFn BinaryFunction) | 4050 | (instance UnionFn BinaryFunction) | ||
| 4040 | (instance UnionFn TotalValuedRelation) | 4051 | (instance UnionFn TotalValuedRelation) | ||
| 4041 | (domain UnionFn 1 SetOrClass) | 4052 | (domain UnionFn 1 SetOrClass) | ||
| 4042 | (domain UnionFn 2 SetOrClass) | 4053 | (domain UnionFn 2 SetOrClass) | ||
| 4043 | (range UnionFn SetOrClass) | 4054 | (range UnionFn SetOrClass) | ||
| 4044 | (documentation UnionFn "A &%BinaryFunction that maps two &%SetOrClasses to | 4055 | (documentation UnionFn "A &%BinaryFunction that maps two &%SetOrClasses to | ||
| 4045 | the union of these &%SetOrClasses. An object is an &%element of the union | 4056 | the union of these &%SetOrClasses. An object is an &%element of the union | ||
| 4046 | of two &%SetOrClasses just in case it is an &%instance of either &%SetOrClass.") | 4057 | of two &%SetOrClasses just in case it is an &%instance of either &%SetOrClass.") | ||
| 4047 | 4058 | ||||
| 4048 | (instance IntersectionFn BinaryFunction) | 4059 | (instance IntersectionFn BinaryFunction) | ||
| 4049 | (instance IntersectionFn TotalValuedRelation) | 4060 | (instance IntersectionFn TotalValuedRelation) | ||
| 4050 | (domain IntersectionFn 1 SetOrClass) | 4061 | (domain IntersectionFn 1 SetOrClass) | ||
| 4051 | (domain IntersectionFn 2 SetOrClass) | 4062 | (domain IntersectionFn 2 SetOrClass) | ||
| 4052 | (range IntersectionFn SetOrClass) | 4063 | (range IntersectionFn SetOrClass) | ||
| 4053 | (documentation IntersectionFn "A &%BinaryFunction that maps two | 4064 | (documentation IntersectionFn "A &%BinaryFunction that maps two | ||
| 4054 | %SetOrClasses to the intersection of these &%SetOrClasses. An object is | 4065 | %SetOrClasses to the intersection of these &%SetOrClasses. An object is | ||
| 4055 | an instance of the intersection of two &%SetOrClasses just in case it is | 4066 | an instance of the intersection of two &%SetOrClasses just in case it is | ||
| 4056 | an instance of both of those &%SetOrClasses.") | 4067 | an instance of both of those &%SetOrClasses.") | ||
| 4057 | 4068 | ||||
| 4058 | (instance RelativeComplementFn BinaryFunction) | 4069 | (instance RelativeComplementFn BinaryFunction) | ||
| 4059 | (instance RelativeComplementFn TotalValuedRelation) | 4070 | (instance RelativeComplementFn TotalValuedRelation) | ||
| 4060 | (domain RelativeComplementFn 1 SetOrClass) | 4071 | (domain RelativeComplementFn 1 SetOrClass) | ||
| 4061 | (domain RelativeComplementFn 2 SetOrClass) | 4072 | (domain RelativeComplementFn 2 SetOrClass) | ||
| 4062 | (range RelativeComplementFn SetOrClass) | 4073 | (range RelativeComplementFn SetOrClass) | ||
| 4063 | (documentation RelativeComplementFn "A &%BinaryFunction that maps two | 4074 | (documentation RelativeComplementFn "A &%BinaryFunction that maps two | ||
| 4064 | &%SetOrClasses to the difference between these &%SetOrClasses. More | 4075 | &%SetOrClasses to the difference between these &%SetOrClasses. More | ||
| 4065 | precisely, the relative complement of one class C1 relative to another | 4076 | precisely, the relative complement of one class C1 relative to another | ||
| 4066 | C2 consists of the instances of C1 that are instances of the | 4077 | C2 consists of the instances of C1 that are instances of the | ||
| 4067 | &%ComplementFn of C2.") | 4078 | &%ComplementFn of C2.") | ||
| 4068 | 4079 | ||||
| 4069 | (instance ComplementFn UnaryFunction) | 4080 | (instance ComplementFn UnaryFunction) | ||
| 4070 | (instance ComplementFn TotalValuedRelation) | 4081 | (instance ComplementFn TotalValuedRelation) | ||
| 4071 | (domain ComplementFn 1 SetOrClass) | 4082 | (domain ComplementFn 1 SetOrClass) | ||
| 4072 | (range ComplementFn SetOrClass) | 4083 | (range ComplementFn SetOrClass) | ||
| 4073 | (documentation ComplementFn "The complement of a given &%SetOrClass C is the | 4084 | (documentation ComplementFn "The complement of a given &%SetOrClass C is the | ||
| 4074 | &%SetOrClass of all things that are not instances of C. In other words, an | 4085 | &%SetOrClass of all things that are not instances of C. In other words, an | ||
| 4075 | object is an instance of the complement of a &%SetOrClass C just in case it | 4086 | object is an instance of the complement of a &%SetOrClass C just in case it | ||
| 4076 | is not an instance of C.") | 4087 | is not an instance of C.") | ||
| 4077 | 4088 | ||||
| 4078 | (instance GeneralizedUnionFn UnaryFunction) | 4089 | (instance GeneralizedUnionFn UnaryFunction) | ||
| 4079 | (instance GeneralizedUnionFn TotalValuedRelation) | 4090 | (instance GeneralizedUnionFn TotalValuedRelation) | ||
| 4080 | (domainSubclass GeneralizedUnionFn 1 SetOrClass) | 4091 | (domainSubclass GeneralizedUnionFn 1 SetOrClass) | ||
| 4081 | (range GeneralizedUnionFn SetOrClass) | 4092 | (range GeneralizedUnionFn SetOrClass) | ||
| 4082 | (documentation GeneralizedUnionFn "A &%UnaryFunction that takes a &%SetOrClass | 4093 | (documentation GeneralizedUnionFn "A &%UnaryFunction that takes a &%SetOrClass | ||
| 4083 | of &%Classes as its single argument and returns a &%SetOrClass which is the | 4094 | of &%Classes as its single argument and returns a &%SetOrClass which is the | ||
| 4084 | merge of all of the &%Classes in the original &%SetOrClass, i.e. the &%SetOrClass | 4095 | merge of all of the &%Classes in the original &%SetOrClass, i.e. the &%SetOrClass | ||
| 4085 | containing just those instances which are instances of an instance of the | 4096 | containing just those instances which are instances of an instance of the | ||
| 4086 | original &%SetOrClass.") | 4097 | original &%SetOrClass.") | ||
| 4087 | 4098 | ||||
| 4088 | (instance GeneralizedIntersectionFn UnaryFunction) | 4099 | (instance GeneralizedIntersectionFn UnaryFunction) | ||
| 4089 | (instance GeneralizedIntersectionFn TotalValuedRelation) | 4100 | (instance GeneralizedIntersectionFn TotalValuedRelation) | ||
| 4090 | (domainSubclass GeneralizedIntersectionFn 1 SetOrClass) | 4101 | (domainSubclass GeneralizedIntersectionFn 1 SetOrClass) | ||
| 4091 | (range GeneralizedIntersectionFn SetOrClass) | 4102 | (range GeneralizedIntersectionFn SetOrClass) | ||
| 4092 | (documentation GeneralizedIntersectionFn "A &%UnaryFunction that takes a | 4103 | (documentation GeneralizedIntersectionFn "A &%UnaryFunction that takes a | ||
| 4093 | &%SetOrClass of &%Classes as its single argument and returns a &%SetOrClass which | 4104 | &%SetOrClass of &%Classes as its single argument and returns a &%SetOrClass which | ||
| 4094 | is the intersection of all of the &%Classes in the original &%SetOrClass, i.e. | 4105 | is the intersection of all of the &%Classes in the original &%SetOrClass, i.e. | ||
| 4095 | the &%SetOrClass containing just those instances which are instances of all | 4106 | the &%SetOrClass containing just those instances which are instances of all | ||
| 4096 | instances of the original &%SetOrClass.") | 4107 | instances of the original &%SetOrClass.") | ||
| 4097 | 4108 | ||||
| 4098 | (instance CardinalityFn UnaryFunction) | 4109 | (instance CardinalityFn UnaryFunction) | ||
| 4099 | (instance CardinalityFn TotalValuedRelation) | 4110 | (instance CardinalityFn TotalValuedRelation) | ||
| 4100 | (instance CardinalityFn AsymmetricRelation) | 4111 | (instance CardinalityFn AsymmetricRelation) | ||
| 4101 | (domain CardinalityFn 1 SetOrClass) | 1 | 4112 | (domain CardinalityFn 1 (UnionFn SetOrClass Collection)) | |
| 4102 | (range CardinalityFn Number) | 4113 | (range CardinalityFn Number) | ||
| 4103 | (documentation CardinalityFn "(CardinalityFn ?CLASS) returns the | 4114 | (documentation CardinalityFn "(CardinalityFn ?CLASS) returns the | ||
| 4104 | number of instances in the &%SetOrClass or &%Collection ?CLASS.") | 4115 | number of instances in the &%SetOrClass or &%Collection ?CLASS.") | ||
| 4105 | 4116 | ||||
| 4106 | (instance NullSet Set) | 3a) | 4117 | (subclass NullSet SetOrClass) | |
| 4107 | (documentation NullSet "The &%Set that contains no instances.") | 4118 | (documentation NullSet "Any &%SetOrClass that contains no instances.") | ||
| 4119 | |||||
| 3b) | 4120 | (=> | |||
| 4121 | (instance ?SET NullSet) | ||||
| 4122 | (not (exists (?INST) (instance ?INST ?SET)))) | ||||
| 4123 | |||||
| 1 | 4124 | (subclass NonNullSet SetOrClass) | |||
| 4125 | (documentation NonNullSet "Any &%SetOrClass that contains at least one | ||||
| 4126 | instance.") | ||||
| 4108 | 4127 | ||||
| 4109 | (not (exists (?ELEMENT) (element ?ELEMENT NullSet))) | 3b) | 4128 | (=> | |
| 4129 | (instance ?SET NonNullSet) | ||||
| 4130 | (exists (?INST) (instance ?INST ?SET))) | ||||
| 4110 | 4131 | ||||
| 4111 | (subclass FiniteSet Set) | 4132 | (subclass FiniteSet Set) | ||
| 4112 | (documentation FiniteSet "A &%Set containing a finite number of elements.") | 4133 | (documentation FiniteSet "A &%Set containing a finite number of elements.") | ||
| 4113 | 4134 | ||||
| 4114 | (=> | 4135 | (=> | ||
| 4115 | (instance ?SET FiniteSet) | 4136 | (instance ?SET FiniteSet) | ||
| 4116 | (exists (?NUMBER) | 4137 | (exists (?NUMBER) | ||
| 4117 | (and | 4138 | (and | ||
| 4118 | (instance ?NUMBER NonnegativeInteger) | 4139 | (instance ?NUMBER NonnegativeInteger) | ||
| 4119 | (equal ?NUMBER (CardinalityFn ?SET))))) | 4140 | (equal ?NUMBER (CardinalityFn ?SET))))) | ||
| 4120 | 4141 | ||||
| 4121 | (subclass PairwiseDisjointClass SetOrClass) | 4142 | (subclass PairwiseDisjointClass SetOrClass) | ||
| 4122 | (documentation PairwiseDisjointClass "A &%SetOrClass is a &%PairwiseDisjointClass | 4143 | (documentation PairwiseDisjointClass "A &%SetOrClass is a &%PairwiseDisjointClass | ||
| 4123 | just in case every instance of the &%SetOrClass is either &%equal to or &%disjoint | 4144 | just in case every instance of the &%SetOrClass is either &%equal to or &%disjoint | ||
| 4124 | from every other instance of the &%SetOrClass.") | 4145 | from every other instance of the &%SetOrClass.") | ||
| 4125 | 4146 | ||||
| 4126 | (=> | 4147 | (=> | ||
| 4127 | (instance ?SUPERCLASS PairwiseDisjointClass) | 4148 | (instance ?SUPERCLASS PairwiseDisjointClass) | ||
| 4128 | (forall (?CLASS1 ?CLASS2) | 4149 | (forall (?CLASS1 ?CLASS2) | ||
| 4129 | (=> | 4150 | (=> | ||
| 4130 | (and | 4151 | (and | ||
| 4131 | (instance ?CLASS1 ?SUPERCLASS) | 4152 | (instance ?CLASS1 ?SUPERCLASS) | ||
| 4132 | (instance ?CLASS2 ?SUPERCLASS)) | 4153 | (instance ?CLASS2 ?SUPERCLASS)) | ||
| 4133 | (or | 4154 | (or | ||
| 4134 | (equal ?CLASS1 ?CLASS2) | 4155 | (equal ?CLASS1 ?CLASS2) | ||
| 4135 | (disjoint ?CLASS1 ?CLASS2))))) | 4156 | (disjoint ?CLASS1 ?CLASS2))))) | ||
| 4136 | 4157 | ||||
| 4137 | (subclass MutuallyDisjointClass SetOrClass) | 4158 | (subclass MutuallyDisjointClass SetOrClass) | ||
| 4138 | (documentation MutuallyDisjointClass "A &%SetOrClass is a &%MutuallyDisjointClass | 4159 | (documentation MutuallyDisjointClass "A &%SetOrClass is a &%MutuallyDisjointClass | ||
| 4139 | just in case there exists nothing which is an instance of all of the instances of | 4160 | just in case there exists nothing which is an instance of all of the instances of | ||
| 4140 | the original &%SetOrClass.") | 4161 | the original &%SetOrClass.") | ||
| 4141 | 4162 | ||||
| 4142 | (=> | 4163 | (=> | ||
| 4143 | (instance ?CLASS MutuallyDisjointClass) | 4164 | (instance ?CLASS MutuallyDisjointClass) | ||
| 4144 | (forall (?INST1 ?INST2) | 4165 | (forall (?INST1 ?INST2) | ||
| 4145 | (=> | 4166 | (=> | ||
| 4146 | (and | 4167 | (and | ||
| 4147 | (instance ?INST1 ?CLASS) | 4168 | (instance ?INST1 ?CLASS) | ||
| 4148 | (instance ?INST2 ?INST1)) | 4169 | (instance ?INST2 ?INST1)) | ||
| 4149 | (exists (?INST3) | 4170 | (exists (?INST3) | ||
| 4150 | (and | 4171 | (and | ||
| 4151 | (instance ?INST3 ?CLASS) | 4172 | (instance ?INST3 ?CLASS) | ||
| 4152 | (not (instance ?INST2 ?INST3))))))) | 4173 | (not (instance ?INST2 ?INST3))))))) | ||
| 4153 | 4174 | ||||
| 4154 | (instance KappaFn BinaryFunction) | 4175 | (instance KappaFn BinaryFunction) | ||
| 4155 | (domain KappaFn 1 SymbolicString) | 4176 | (domain KappaFn 1 SymbolicString) | ||
| 4156 | (domain KappaFn 2 Formula) | 4177 | (domain KappaFn 2 Formula) | ||
| 4157 | (range KappaFn SetOrClass) | 1 | 4178 | (range KappaFn Class) | |
| 4158 | (documentation KappaFn "A class-forming operator that takes two | 4179 | (documentation KappaFn "A class-forming operator that takes two | ||
| 4159 | arguments: a variable and a formula containing at least one unbound | 4180 | arguments: a variable and a formula containing at least one unbound | ||
| 4160 | occurrence of the variable. The result of applying &%KappaFn to a | 4181 | occurrence of the variable. The result of applying &%KappaFn to a | ||
| 4161 | variable and a formula is the &%SetOrClass of things that satisfy the formula. | 4182 | variable and a formula is the &%SetOrClass of things that satisfy the formula. | ||
| 4162 | For example, we can denote the &%SetOrClass of prime numbers that are less | 4183 | For example, we can denote the &%SetOrClass of prime numbers that are less | ||
| 4163 | than 100 with the following expression: (KappaFn ?NUMBER | 4184 | than 100 with the following expression: (KappaFn ?NUMBER | ||
| 4164 | (and (instance ?NUMBER PrimeNumber) (lessThan ?NUMBER 100))). Note that | 4185 | (and (instance ?NUMBER PrimeNumber) (lessThan ?NUMBER 100))). Note that | ||
| 4165 | the use of this function is discouraged, since there is currently no | 4186 | the use of this function is discouraged, since there is currently no | ||
| 4166 | axiomatic support for it.") | 4187 | axiomatic support for it.") | ||
| 4167 | 4188 | ||||
| 4168 | ;; At some point we may be able to make use of 'KappaFn' by implementing a macro | 4189 | ;; At some point we may be able to make use of 'KappaFn' by implementing a macro | ||
| 4169 | ;; that decomposes every occurrence of 'KappaFn' into a complex formula. For | 4190 | ;; that decomposes every occurrence of 'KappaFn' into a complex formula. For | ||
| 4170 | ;; example the macro might replace every instance of Schema 1 with an instance | 4191 | ;; example the macro might replace every instance of Schema 1 with an instance | ||
| 4171 | ;; of Schema 2. | 4192 | ;; of Schema 2. | ||
| 4172 | ;; | 4193 | ;; | ||
| 4173 | ;; Schema 1: (KappaFn <variable> <formula>) | 4194 | ;; Schema 1: (KappaFn <variable> <formula>) | ||
| 4174 | ;; | 4195 | ;; | ||
| 4175 | ;; Schema 2: (exists (?LIST) | 4196 | ;; Schema 2: (exists (?LIST) | ||
| 4176 | ;; (and | 4197 | ;; (and | ||
| 4177 | ;; (instance ?LIST UniqueList) | 4198 | ;; (instance ?LIST UniqueList) | ||
| 4178 | ;; (forall (<variable>) | 4199 | ;; (forall (<variable>) | ||
| 4179 | ;; (<=> | 4200 | ;; (<=> | ||
| 4180 | ;; (inList <variable> ?LIST) | 4201 | ;; (inList <variable> ?LIST) | ||
| 4181 | ;; <formula>)))) | 4202 | ;; <formula>)))) | ||
| 4182 | ;; | 4203 | ;; | ||
| 4183 | 4204 | ||||
| 4184 | 4205 | ||||
| 4185 | ;; END FILE | 4206 | ;; END FILE | ||
| 4186 | 4207 | ||||
| 4187 | ;; BEGIN FILE | 4208 | ;; BEGIN FILE | ||
| 4188 | 4209 | ||||
| 4189 | 4210 | ||||
| 4190 | ;;;;;;;;;;;;;;;;;;;;; | 4211 | ;;;;;;;;;;;;;;;;;;;;; | ||
| 4191 | ;; GRAPH THEORY ;; | 4212 | ;; GRAPH THEORY ;; | ||
| 4192 | ;;;;;;;;;;;;;;;;;;;;; | 4213 | ;;;;;;;;;;;;;;;;;;;;; | ||
| 4193 | 4214 | ||||
| 4194 | (subclass Graph Abstract) | 4215 | (subclass Graph Abstract) | ||
| 4195 | (documentation Graph "The &%Class of graphs, where a graph is understood | 4216 | (documentation Graph "The &%Class of graphs, where a graph is understood | ||
| 4196 | to be a set of &%GraphNodes connected by &%GraphArcs. Note that this | 4217 | to be a set of &%GraphNodes connected by &%GraphArcs. Note that this | ||
| 4197 | &%Class includes only connected graphs, i.e. graphs in which there is a | 4218 | &%Class includes only connected graphs, i.e. graphs in which there is a | ||
| 4198 | &%GraphPath between any two &%GraphNodes. Note too that every &%Graph | 4219 | &%GraphPath between any two &%GraphNodes. Note too that every &%Graph | ||
| 4199 | is assumed to contain at least two &%GraphArcs and three &%GraphNodes.") | 4220 | is assumed to contain at least two &%GraphArcs and three &%GraphNodes.") | ||
| 4200 | 4221 | ||||
| 4201 | (=> | 4222 | (=> | ||
| 4202 | (and | 4223 | (and | ||
| 4203 | (instance ?GRAPH Graph) | 4224 | (instance ?GRAPH Graph) | ||
| 4204 | (instance ?NODE1 GraphNode) | 4225 | (instance ?NODE1 GraphNode) | ||
| 4205 | (instance ?NODE2 GraphNode) | 4226 | (instance ?NODE2 GraphNode) | ||
| 4206 | (graphPart ?NODE1 ?GRAPH) | 4227 | (graphPart ?NODE1 ?GRAPH) | ||
| 4207 | (graphPart ?NODE2 ?GRAPH) | 4228 | (graphPart ?NODE2 ?GRAPH) | ||
| 4208 | (not (equal ?NODE1 ?NODE2))) | 4229 | (not (equal ?NODE1 ?NODE2))) | ||
| 4209 | (exists (?ARC ?PATH) | 4230 | (exists (?ARC ?PATH) | ||
| 4210 | (or | 4231 | (or | ||
| 4211 | (links ?NODE1 ?NODE2 ?ARC) | 4232 | (links ?NODE1 ?NODE2 ?ARC) | ||
| 4212 | (and | 4233 | (and | ||
| 4213 | (subGraph ?PATH ?GRAPH) | 4234 | (subGraph ?PATH ?GRAPH) | ||
| 4214 | (instance ?PATH GraphPath) | 4235 | (instance ?PATH GraphPath) | ||
| 4215 | (or | 4236 | (or | ||
| 4216 | (and | 4237 | (and | ||
| 4217 | (equal (BeginNodeFn ?PATH) ?NODE1) | 4238 | (equal (BeginNodeFn ?PATH) ?NODE1) | ||
| 4218 | (equal (EndNodeFn ?PATH) ?NODE2)) | 4239 | (equal (EndNodeFn ?PATH) ?NODE2)) | ||
| 4219 | (and | 4240 | (and | ||
| 4220 | (equal (BeginNodeFn ?PATH) ?NODE2) | 4241 | (equal (BeginNodeFn ?PATH) ?NODE2) | ||
| 4221 | (equal (EndNodeFn ?PATH) ?NODE1))))))) | 4242 | (equal (EndNodeFn ?PATH) ?NODE1))))))) | ||
| 4222 | 4243 | ||||
| 4223 | (=> | 4244 | (=> | ||
| 4224 | (instance ?GRAPH Graph) | 4245 | (instance ?GRAPH Graph) | ||
| 4225 | (exists (?NODE1 ?NODE2 ?NODE3 ?ARC1 ?ARC2) | 4246 | (exists (?NODE1 ?NODE2 ?NODE3 ?ARC1 ?ARC2) | ||
| 4226 | (and | 4247 | (and | ||
| 4227 | (graphPart ?NODE1 ?GRAPH) | 4248 | (graphPart ?NODE1 ?GRAPH) | ||
| 4228 | (graphPart ?NODE2 ?GRAPH) | 4249 | (graphPart ?NODE2 ?GRAPH) | ||
| 4229 | (graphPart ?NODE3 ?GRAPH) | 4250 | (graphPart ?NODE3 ?GRAPH) | ||
| 4230 | (graphPart ?ARC1 ?GRAPH) | 4251 | (graphPart ?ARC1 ?GRAPH) | ||
| 4231 | (graphPart ?ARC2 ?GRAPH) | 4252 | (graphPart ?ARC2 ?GRAPH) | ||
| 4232 | (links ?ARC1 ?NODE1 ?NODE2) | 4253 | (links ?ARC1 ?NODE1 ?NODE2) | ||
| 4233 | (links ?ARC2 ?NODE2 ?NODE3) | 4254 | (links ?ARC2 ?NODE2 ?NODE3) | ||
| 4234 | (not (equal ?NODE1 ?NODE2)) | 4255 | (not (equal ?NODE1 ?NODE2)) | ||
| 4235 | (not (equal ?NODE2 ?NODE3)) | 4256 | (not (equal ?NODE2 ?NODE3)) | ||
| 4236 | (not (equal ?NODE1 ?NODE3)) | 4257 | (not (equal ?NODE1 ?NODE3)) | ||
| 4237 | (not (equal ?ARC1 ?ARC2))))) | 4258 | (not (equal ?ARC1 ?ARC2))))) | ||
| 4238 | 4259 | ||||
| 4239 | (subclass DirectedGraph Graph) | 4260 | (subclass DirectedGraph Graph) | ||
| 4240 | (documentation DirectedGraph "The &%Class of directed graphs. A | 4261 | (documentation DirectedGraph "The &%Class of directed graphs. A | ||
| 4241 | directed graph is a &%Graph in which all &%GraphArcs | 4262 | directed graph is a &%Graph in which all &%GraphArcs | ||
| 4242 | have direction, i.e. every &%GraphArc has an initial node (see | 4263 | have direction, i.e. every &%GraphArc has an initial node (see | ||
| 4243 | &%InitialNodeFn) and a terminal node (see &%TerminalNodeFn).") | 4264 | &%InitialNodeFn) and a terminal node (see &%TerminalNodeFn).") | ||
| 4244 | 4265 | ||||
| 4245 | (=> | 4266 | (=> | ||
| 4246 | (and | 4267 | (and | ||
| 4247 | (instance ?GRAPH DirectedGraph) | 4268 | (instance ?GRAPH DirectedGraph) | ||
| 4248 | (instance ?ARC GraphArc) | 4269 | (instance ?ARC GraphArc) | ||
| 4249 | (graphPart ?ARC ?GRAPH)) | 4270 | (graphPart ?ARC ?GRAPH)) | ||
| 4250 | (exists (?NODE1 ?NODE2) | 4271 | (exists (?NODE1 ?NODE2) | ||
| 4251 | (and | 4272 | (and | ||
| 4252 | (equal (InitialNodeFn ?ARC) ?NODE1) | 4273 | (equal (InitialNodeFn ?ARC) ?NODE1) | ||
| 4253 | (equal (TerminalNodeFn ?ARC) ?NODE2)))) | 4274 | (equal (TerminalNodeFn ?ARC) ?NODE2)))) | ||
| 4254 | 4275 | ||||
| 4255 | (subclass Tree Graph) | 4276 | (subclass Tree Graph) | ||
| 4256 | (documentation Tree "A Tree is a &%DirectedGraph that has no | 4277 | (documentation Tree "A Tree is a &%DirectedGraph that has no | ||
| 4257 | &%GraphLoops.") | 4278 | &%GraphLoops.") | ||
| 4258 | 4279 | ||||
| 4259 | (=> | 4280 | (=> | ||
| 4260 | (instance ?GRAPH Tree) | 4281 | (instance ?GRAPH Tree) | ||
| 4261 | (not (exists (?LOOP) | 4282 | (not (exists (?LOOP) | ||
| 4262 | (and | 4283 | (and | ||
| 4263 | (instance ?LOOP GraphLoop) | 4284 | (instance ?LOOP GraphLoop) | ||
| 4264 | (graphPart ?LOOP ?GRAPH))))) | 4285 | (graphPart ?LOOP ?GRAPH))))) | ||
| 4265 | 4286 | ||||
| 4266 | (subclass GraphPath DirectedGraph) | 4287 | (subclass GraphPath DirectedGraph) | ||
| 4267 | (documentation GraphPath "Informally, a single, directed route between | 4288 | (documentation GraphPath "Informally, a single, directed route between | ||
| 4268 | two &%GraphNodes in a &%Graph. Formally, a &%DirectedGraph that is a | 4289 | two &%GraphNodes in a &%Graph. Formally, a &%DirectedGraph that is a | ||
| 4269 | &%subGraph of the original &%Graph and such that no two &%GraphArcs in | 4290 | &%subGraph of the original &%Graph and such that no two &%GraphArcs in | ||
| 4270 | the &%DirectedGraph have the same intial node (see &%InitialNodeFn) or | 4291 | the &%DirectedGraph have the same intial node (see &%InitialNodeFn) or | ||
| 4271 | the same terminal node (see &%TerminalNodeFn).") | 4292 | the same terminal node (see &%TerminalNodeFn).") | ||
| 4272 | 4293 | ||||
| 4273 | (=> | 4294 | (=> | ||
| 4274 | (and | 4295 | (and | ||
| 4275 | (instance ?GRAPH GraphPath) | 4296 | (instance ?GRAPH GraphPath) | ||
| 4276 | (instance ?ARC GraphArc) | 4297 | (instance ?ARC GraphArc) | ||
| 4277 | (graphPart ?ARC ?GRAPH)) | 4298 | (graphPart ?ARC ?GRAPH)) | ||
| 4278 | (=> | 4299 | (=> | ||
| 4279 | (equal (InitialNodeFn ?ARC) ?NODE) | 4300 | (equal (InitialNodeFn ?ARC) ?NODE) | ||
| 4280 | (not (exists (?OTHER) | 4301 | (not (exists (?OTHER) | ||
| 4281 | (and | 4302 | (and | ||
| 4282 | (equal (InitialNodeFn ?OTHER) ?NODE) | 4303 | (equal (InitialNodeFn ?OTHER) ?NODE) | ||
| 4283 | (not (equal ?OTHER ?ARC))))))) | 4304 | (not (equal ?OTHER ?ARC))))))) | ||
| 4284 | 4305 | ||||
| 4285 | (=> | 4306 | (=> | ||
| 4286 | (and | 4307 | (and | ||
| 4287 | (instance ?GRAPH GraphPath) | 4308 | (instance ?GRAPH GraphPath) | ||
| 4288 | (instance ?ARC GraphArc) | 4309 | (instance ?ARC GraphArc) | ||
| 4289 | (graphPart ?ARC ?GRAPH)) | 4310 | (graphPart ?ARC ?GRAPH)) | ||
| 4290 | (=> | 4311 | (=> | ||
| 4291 | (equal (TerminalNodeFn ?ARC) ?NODE) | 4312 | (equal (TerminalNodeFn ?ARC) ?NODE) | ||
| 4292 | (not (exists (?OTHER) | 4313 | (not (exists (?OTHER) | ||
| 4293 | (and | 4314 | (and | ||
| 4294 | (equal (TerminalNodeFn ?OTHER) ?NODE) | 4315 | (equal (TerminalNodeFn ?OTHER) ?NODE) | ||
| 4295 | (not (equal ?OTHER ?ARC))))))) | 4316 | (not (equal ?OTHER ?ARC))))))) | ||
| 4296 | 4317 | ||||
| 4297 | (subclass GraphCircuit GraphPath) | 4318 | (subclass GraphCircuit GraphPath) | ||
| 4298 | (documentation GraphCircuit "A &%GraphPath that begins (see | 4319 | (documentation GraphCircuit "A &%GraphPath that begins (see | ||
| 4299 | &%BeginNodeFn) and ends (see &%EndNodeFn) at the same | 4320 | &%BeginNodeFn) and ends (see &%EndNodeFn) at the same | ||
| 4300 | &%GraphNode.") | 4321 | &%GraphNode.") | ||
| 4301 | 4322 | ||||
| 4302 | (<=> | 4323 | (<=> | ||
| 4303 | (instance ?GRAPH GraphCircuit) | 4324 | (instance ?GRAPH GraphCircuit) | ||
| 4304 | (exists (?NODE) | 4325 | (exists (?NODE) | ||
| 4305 | (and | 4326 | (and | ||
| 4306 | (equal (BeginNodeFn ?GRAPH) ?NODE) | 4327 | (equal (BeginNodeFn ?GRAPH) ?NODE) | ||
| 4307 | (equal (EndNodeFn ?GRAPH) ?NODE)))) | 4328 | (equal (EndNodeFn ?GRAPH) ?NODE)))) | ||
| 4308 | 4329 | ||||
| 4309 | (subclass MultiGraph Graph) | 4330 | (subclass MultiGraph Graph) | ||
| 4310 | (documentation MultiGraph "The &%Class of multigraphs. A multigraph | 4331 | (documentation MultiGraph "The &%Class of multigraphs. A multigraph | ||
| 4311 | is a &%Graph containing at least one pair of &%GraphNodes that are | 4332 | is a &%Graph containing at least one pair of &%GraphNodes that are | ||
| 4312 | connected by more than one &%GraphArc.") | 4333 | connected by more than one &%GraphArc.") | ||
| 4313 | 4334 | ||||
| 4314 | (<=> | 4335 | (<=> | ||
| 4315 | (instance ?GRAPH MultiGraph) | 4336 | (instance ?GRAPH MultiGraph) | ||
| 4316 | (exists (?ARC1 ?ARC2 ?NODE1 ?NODE2) | 4337 | (exists (?ARC1 ?ARC2 ?NODE1 ?NODE2) | ||
| 4317 | (and | 4338 | (and | ||
| 4318 | (graphPart ?ARC1 ?GRAPH) | 4339 | (graphPart ?ARC1 ?GRAPH) | ||
| 4319 | (graphPart ?ARC2 ?GRAPH) | 4340 | (graphPart ?ARC2 ?GRAPH) | ||
| 4320 | (graphPart ?NODE1 ?GRAPH) | 4341 | (graphPart ?NODE1 ?GRAPH) | ||
| 4321 | (graphPart ?NODE2 ?GRAPH) | 4342 | (graphPart ?NODE2 ?GRAPH) | ||
| 4322 | (links ?NODE1 ?NODE2 ?ARC1) | 4343 | (links ?NODE1 ?NODE2 ?ARC1) | ||
| 4323 | (links ?NODE1 ?NODE2 ?ARC2) | 4344 | (links ?NODE1 ?NODE2 ?ARC2) | ||
| 4324 | (not (equal ?ARC1 ?ARC2))))) | 4345 | (not (equal ?ARC1 ?ARC2))))) | ||
| 4325 | 4346 | ||||
| 4326 | (subclass PseudoGraph Graph) | 4347 | (subclass PseudoGraph Graph) | ||
| 4327 | (documentation PseudoGraph "The &%Class of pseudographs. A pseudograph | 4348 | (documentation PseudoGraph "The &%Class of pseudographs. A pseudograph | ||
| 4328 | is a &%Graph containing at least one &%GraphLoop.") | 4349 | is a &%Graph containing at least one &%GraphLoop.") | ||
| 4329 | 4350 | ||||
| 4330 | (<=> | 4351 | (<=> | ||
| 4331 | (instance ?GRAPH PseudoGraph) | 4352 | (instance ?GRAPH PseudoGraph) | ||
| 4332 | (exists (?LOOP) | 4353 | (exists (?LOOP) | ||
| 4333 | (and | 4354 | (and | ||
| 4334 | (instance ?LOOP GraphLoop) | 4355 | (instance ?LOOP GraphLoop) | ||
| 4335 | (graphPart ?LOOP ?GRAPH)))) | 4356 | (graphPart ?LOOP ?GRAPH)))) | ||
| 4336 | 4357 | ||||
| 4337 | (subclass GraphElement Abstract) | 4358 | (subclass GraphElement Abstract) | ||
| 4338 | (partition GraphElement GraphNode GraphArc) | 4359 | (partition GraphElement GraphNode GraphArc) | ||
| 4339 | (documentation GraphElement "Noncompositional parts of &%Graphs. | 4360 | (documentation GraphElement "Noncompositional parts of &%Graphs. | ||
| 4340 | These parts are restricted to &%GraphNodes and &%GraphArcs.") | 4361 | These parts are restricted to &%GraphNodes and &%GraphArcs.") | ||
| 4341 | 4362 | ||||
| 4342 | (=> | 4363 | (=> | ||
| 4343 | (instance ?PART GraphElement) | 4364 | (instance ?PART GraphElement) | ||
| 4344 | (exists (?GRAPH) | 4365 | (exists (?GRAPH) | ||
| 4345 | (and | 4366 | (and | ||
| 4346 | (instance ?GRAPH Graph) | 4367 | (instance ?GRAPH Graph) | ||
| 4347 | (graphPart ?PART ?GRAPH)))) | 4368 | (graphPart ?PART ?GRAPH)))) | ||
| 4348 | 4369 | ||||
| 4349 | (subclass GraphNode GraphElement) | 4370 | (subclass GraphNode GraphElement) | ||
| 4350 | (documentation GraphNode "&%Graphs are comprised of &%GraphNodes | 4371 | (documentation GraphNode "&%Graphs are comprised of &%GraphNodes | ||
| 4351 | and &%GraphArcs. Every &%GraphNode is linked by a &%GraphArc.") | 4372 | and &%GraphArcs. Every &%GraphNode is linked by a &%GraphArc.") | ||
| 4352 | 4373 | ||||
| 4353 | (=> | 4374 | (=> | ||
| 4354 | (instance ?NODE GraphNode) | 4375 | (instance ?NODE GraphNode) | ||
| 4355 | (exists (?OTHER ?ARC) | 4376 | (exists (?OTHER ?ARC) | ||
| 4356 | (links ?NODE ?OTHER ?ARC))) | 4377 | (links ?NODE ?OTHER ?ARC))) | ||
| 4357 | 4378 | ||||
| 4358 | (subclass GraphArc GraphElement) | 4379 | (subclass GraphArc GraphElement) | ||
| 4359 | (documentation GraphArc "&%Graphs are comprised of &%GraphNodes | 4380 | (documentation GraphArc "&%Graphs are comprised of &%GraphNodes | ||
| 4360 | and &%GraphArcs. Every &%GraphArc links two &%GraphNodes.") | 4381 | and &%GraphArcs. Every &%GraphArc links two &%GraphNodes.") | ||
| 4361 | 4382 | ||||
| 4362 | (=> | 4383 | (=> | ||
| 4363 | (instance ?ARC GraphArc) | 4384 | (instance ?ARC GraphArc) | ||
| 4364 | (exists (?NODE1 ?NODE2) | 4385 | (exists (?NODE1 ?NODE2) | ||
| 4365 | (links ?NODE1 ?NODE2 ?ARC))) | 4386 | (links ?NODE1 ?NODE2 ?ARC))) | ||
| 4366 | 4387 | ||||
| 4367 | (subclass GraphLoop GraphArc) | 4388 | (subclass GraphLoop GraphArc) | ||
| 4368 | (documentation GraphLoop "A &%GraphArc in which a &%GraphNode is | 4389 | (documentation GraphLoop "A &%GraphArc in which a &%GraphNode is | ||
| 4369 | linked to itself.") | 4390 | linked to itself.") | ||
| 4370 | 4391 | ||||
| 4371 | (<=> | 4392 | (<=> | ||
| 4372 | (instance ?LOOP GraphLoop) | 4393 | (instance ?LOOP GraphLoop) | ||
| 4373 | (exists (?NODE) | 4394 | (exists (?NODE) | ||
| 4374 | (links ?NODE ?NODE ?LOOP))) | 4395 | (links ?NODE ?NODE ?LOOP))) | ||
| 4375 | 4396 | ||||
| 4376 | (=> | 4397 | (=> | ||
| 4377 | (and | 4398 | (and | ||
| 4378 | (equal (InitialNodeFn ?ARC) ?NODE) | 4399 | (equal (InitialNodeFn ?ARC) ?NODE) | ||
| 4379 | (equal (TerminalNodeFn ?ARC) ?NODE)) | 4400 | (equal (TerminalNodeFn ?ARC) ?NODE)) | ||
| 4380 | (instance ?ARC GraphLoop)) | 4401 | (instance ?ARC GraphLoop)) | ||
| 4381 | 4402 | ||||
| 4382 | (instance links TernaryPredicate) | 4403 | (instance links TernaryPredicate) | ||
| 4383 | (domain links 1 GraphNode) | 4404 | (domain links 1 GraphNode) | ||
| 4384 | (domain links 2 GraphNode) | 4405 | (domain links 2 GraphNode) | ||
| 4385 | (domain links 3 GraphArc) | 4406 | (domain links 3 GraphArc) | ||
| 4386 | (documentation links "a &%TernaryPredicate that specifies the | 4407 | (documentation links "a &%TernaryPredicate that specifies the | ||
| 4387 | &%GraphArc connecting two &%GraphNodes.") | 4408 | &%GraphArc connecting two &%GraphNodes.") | ||
| 4388 | 4409 | ||||
| 4389 | (=> | 4410 | (=> | ||
| 4390 | (links ?NODE1 ?NODE2 ?ARC) | 4411 | (links ?NODE1 ?NODE2 ?ARC) | ||
| 4391 | (links ?NODE2 ?NODE1 ?ARC)) | 4412 | (links ?NODE2 ?NODE1 ?ARC)) | ||
| 4392 | 4413 | ||||
| 4393 | (instance graphPart BinaryPredicate) | 4414 | (instance graphPart BinaryPredicate) | ||
| 4394 | (instance graphPart AsymmetricRelation) | 4415 | (instance graphPart AsymmetricRelation) | ||
| 4395 | (instance graphPart IrreflexiveRelation) | 4416 | (instance graphPart IrreflexiveRelation) | ||
| 4396 | (domain graphPart 1 GraphElement) | 4417 | (domain graphPart 1 GraphElement) | ||
| 4397 | (domain graphPart 2 Graph) | 4418 | (domain graphPart 2 Graph) | ||
| 4398 | (documentation graphPart "A basic relation for &%Graphs and their | 4419 | (documentation graphPart "A basic relation for &%Graphs and their | ||
| 4399 | parts. (&%graphPart ?PART ?GRAPH) means that ?PART is a &%GraphArc | 4420 | parts. (&%graphPart ?PART ?GRAPH) means that ?PART is a &%GraphArc | ||
| 4400 | or &%GraphNode of the &%Graph ?GRAPH.") | 4421 | or &%GraphNode of the &%Graph ?GRAPH.") | ||
| 4401 | 4422 | ||||
| 4402 | (instance subGraph BinaryPredicate) | 4423 | (instance subGraph BinaryPredicate) | ||
| 4403 | (instance subGraph ReflexiveRelation) | 4424 | (instance subGraph ReflexiveRelation) | ||
| 4404 | (instance subGraph TransitiveRelation) | 4425 | (instance subGraph TransitiveRelation) | ||
| 4405 | (domain subGraph 1 Graph) | 4426 | (domain subGraph 1 Graph) | ||
| 4406 | (domain subGraph 2 Graph) | 4427 | (domain subGraph 2 Graph) | ||
| 4407 | (documentation subGraph "The relation between two &%Graphs when one | 4428 | (documentation subGraph "The relation between two &%Graphs when one | ||
| 4408 | &%Graph is a part of the other. (&%subGraph ?GRAPH1 ?GRAPH2) means | 4429 | &%Graph is a part of the other. (&%subGraph ?GRAPH1 ?GRAPH2) means | ||
| 4409 | that ?GRAPH1 is a part of ?GRAPH2.") | 4430 | that ?GRAPH1 is a part of ?GRAPH2.") | ||
| 4410 | 4431 | ||||
| 4411 | (=> | 4432 | (=> | ||
| 4412 | (and | 4433 | (and | ||
| 4413 | (subGraph ?GRAPH1 ?GRAPH2) | 4434 | (subGraph ?GRAPH1 ?GRAPH2) | ||
| 4414 | (graphPart ?ELEMENT ?GRAPH1)) | 4435 | (graphPart ?ELEMENT ?GRAPH1)) | ||
| 4415 | (graphPart ?ELEMENT ?GRAPH2)) | 4436 | (graphPart ?ELEMENT ?GRAPH2)) | ||
| 4416 | 4437 | ||||
| 4417 | (instance pathLength BinaryPredicate) | 4438 | (instance pathLength BinaryPredicate) | ||
| 4418 | (instance pathLength AsymmetricRelation) | 4439 | (instance pathLength AsymmetricRelation) | ||
| 4419 | (instance pathLength IrreflexiveRelation) | 4440 | (instance pathLength IrreflexiveRelation) | ||
| 4420 | (domain pathLength 1 GraphPath) | 4441 | (domain pathLength 1 GraphPath) | ||
| 4421 | (domain pathLength 2 PositiveInteger) | 4442 | (domain pathLength 2 PositiveInteger) | ||
| 4422 | (documentation pathLength "A &%BinaryPredicate that specifies the | 4443 | (documentation pathLength "A &%BinaryPredicate that specifies the | ||
| 4423 | length (in number of &%GraphNodes) of a &%GraphPath. | 4444 | length (in number of &%GraphNodes) of a &%GraphPath. | ||
| 4424 | (&%pathLength ?PATH ?NUMBER) means that there are ?NUMBER nodes in | 4445 | (&%pathLength ?PATH ?NUMBER) means that there are ?NUMBER nodes in | ||
| 4425 | the &%GraphPath ?PATH.") | 4446 | the &%GraphPath ?PATH.") | ||
| 4426 | 4447 | ||||
| 4427 | (instance InitialNodeFn UnaryFunction) | 4448 | (instance InitialNodeFn UnaryFunction) | ||
| 4428 | (instance InitialNodeFn PartialValuedRelation) | 4449 | (instance InitialNodeFn PartialValuedRelation) | ||
| 4429 | (domain InitialNodeFn 1 GraphArc) | 4450 | (domain InitialNodeFn 1 GraphArc) | ||
| 4430 | (range InitialNodeFn GraphNode) | 4451 | (range InitialNodeFn GraphNode) | ||
| 4431 | (documentation InitialNodeFn "A &%UnaryFunction that maps a | 4452 | (documentation InitialNodeFn "A &%UnaryFunction that maps a | ||
| 4432 | &%GraphArc to the initial node of the &%GraphArc. Note | 4453 | &%GraphArc to the initial node of the &%GraphArc. Note | ||
| 4433 | that this is a partial function. In particular, the function is | 4454 | that this is a partial function. In particular, the function is | ||
| 4434 | undefined for &%GraphArcs that are not part of a &%DirectedGraph.") | 4455 | undefined for &%GraphArcs that are not part of a &%DirectedGraph.") | ||
| 4435 | 4456 | ||||
| 4436 | (instance TerminalNodeFn UnaryFunction) | 4457 | (instance TerminalNodeFn UnaryFunction) | ||
| 4437 | (instance TerminalNodeFn PartialValuedRelation) | 4458 | (instance TerminalNodeFn PartialValuedRelation) | ||
| 4438 | (domain TerminalNodeFn 1 GraphArc) | 4459 | (domain TerminalNodeFn 1 GraphArc) | ||
| 4439 | (range TerminalNodeFn GraphNode) | 4460 | (range TerminalNodeFn GraphNode) | ||
| 4440 | (documentation TerminalNodeFn "A &%UnaryFunction that maps a | 4461 | (documentation TerminalNodeFn "A &%UnaryFunction that maps a | ||
| 4441 | &%GraphArc to the terminal node of the &%GraphArc. Note that this | 4462 | &%GraphArc to the terminal node of the &%GraphArc. Note that this | ||
| 4442 | is a partial function. In particular, the function is undefined | 4463 | is a partial function. In particular, the function is undefined | ||
| 4443 | for &%GraphArcs that are not part of a &%DirectedGraph.") | 4464 | for &%GraphArcs that are not part of a &%DirectedGraph.") | ||
| 4444 | 4465 | ||||
| 4445 | (instance BeginNodeFn UnaryFunction) | 4466 | (instance BeginNodeFn UnaryFunction) | ||
| 4446 | (instance BeginNodeFn TotalValuedRelation) | 4467 | (instance BeginNodeFn TotalValuedRelation) | ||
| 4447 | (domain BeginNodeFn 1 GraphPath) | 4468 | (domain BeginNodeFn 1 GraphPath) | ||
| 4448 | (range BeginNodeFn GraphNode) | 4469 | (range BeginNodeFn GraphNode) | ||
| 4449 | (relatedInternalConcept BeginNodeFn InitialNodeFn) | 4470 | (relatedInternalConcept BeginNodeFn InitialNodeFn) | ||
| 4450 | (documentation BeginNodeFn "A &%UnaryFunction that maps a &%GraphPath | 4471 | (documentation BeginNodeFn "A &%UnaryFunction that maps a &%GraphPath | ||
| 4451 | to the &%GraphNode that is the beginning of the &%GraphPath. Note that, | 4472 | to the &%GraphNode that is the beginning of the &%GraphPath. Note that, | ||
| 4452 | unlike &%InitialNodeFn (which relates a &%GraphArc to a &%GraphNode), | 4473 | unlike &%InitialNodeFn (which relates a &%GraphArc to a &%GraphNode), | ||
| 4453 | &%BeginNodeFn is a total function - every &%GraphPath has a beginning.") | 4474 | &%BeginNodeFn is a total function - every &%GraphPath has a beginning.") | ||
| 4454 | 4475 | ||||
| 4455 | (instance EndNodeFn UnaryFunction) | 4476 | (instance EndNodeFn UnaryFunction) | ||
| 4456 | (instance EndNodeFn TotalValuedRelation) | 4477 | (instance EndNodeFn TotalValuedRelation) | ||
| 4457 | (domain EndNodeFn 1 GraphPath) | 4478 | (domain EndNodeFn 1 GraphPath) | ||
| 4458 | (range EndNodeFn GraphNode) | 4479 | (range EndNodeFn GraphNode) | ||
| 4459 | (relatedInternalConcept EndNodeFn TerminalNodeFn) | 4480 | (relatedInternalConcept EndNodeFn TerminalNodeFn) | ||
| 4460 | (documentation EndNodeFn "A &%UnaryFunction that maps a &%GraphPath | 4481 | (documentation EndNodeFn "A &%UnaryFunction that maps a &%GraphPath | ||
| 4461 | to the &%GraphNode that is the end of the &%GraphPath. Note that, unlike | 4482 | to the &%GraphNode that is the end of the &%GraphPath. Note that, unlike | ||
| 4462 | &%TerminalNodeFn (which relates a &%GraphArc to a &%GraphNode), | 4483 | &%TerminalNodeFn (which relates a &%GraphArc to a &%GraphNode), | ||
| 4463 | &%EndNodeFn is a total function - every &%GraphPath has a end.") | 4484 | &%EndNodeFn is a total function - every &%GraphPath has a end.") | ||
| 4464 | 4485 | ||||
| 4465 | (instance arcWeight BinaryPredicate) | 4486 | (instance arcWeight BinaryPredicate) | ||
| 4466 | (instance arcWeight SingleValuedRelation) | 4487 | (instance arcWeight SingleValuedRelation) | ||
| 4467 | (domain arcWeight 1 GraphArc) | 4488 | (domain arcWeight 1 GraphArc) | ||
| 4468 | (domain arcWeight 2 RealNumber) | 4489 | (domain arcWeight 2 RealNumber) | ||
| 4469 | (documentation arcWeight "This predicate indicates the value of a | 4490 | (documentation arcWeight "This predicate indicates the value of a | ||
| 4470 | &%GraphArc in a &%Graph. This could map to the length of a road in | 4491 | &%GraphArc in a &%Graph. This could map to the length of a road in | ||
| 4471 | a road network or the flow rate of a pipe in a plumbing system.") | 4492 | a road network or the flow rate of a pipe in a plumbing system.") | ||
| 4472 | 4493 | ||||
| 4473 | (instance PathWeightFn UnaryFunction) | 4494 | (instance PathWeightFn UnaryFunction) | ||
| 4474 | (domain PathWeightFn 1 GraphPath) | 4495 | (domain PathWeightFn 1 GraphPath) | ||
| 4475 | (range PathWeightFn RealNumber) | 4496 | (range PathWeightFn RealNumber) | ||
| 4476 | (documentation PathWeightFn "A &%UnaryFunction that maps a | 4497 | (documentation PathWeightFn "A &%UnaryFunction that maps a | ||
| 4477 | &%GraphPath to the sum of the &%arcWeights on the &%GraphArcs in | 4498 | &%GraphPath to the sum of the &%arcWeights on the &%GraphArcs in | ||
| 4478 | the &%GraphPath.") | 4499 | the &%GraphPath.") | ||
| 4479 | 4500 | ||||
| 4480 | (=> | 4501 | (=> | ||
| 4481 | (and | 4502 | (and | ||
| 4482 | (equal (PathWeightFn ?PATH) ?SUM) | 4503 | (equal (PathWeightFn ?PATH) ?SUM) | ||
| 4483 | (subGraph ?SUBPATH ?PATH) | 4504 | (subGraph ?SUBPATH ?PATH) | ||
| 4484 | (graphPart ?ARC1 ?PATH) | 4505 | (graphPart ?ARC1 ?PATH) | ||
| 4485 | (arcWeight ?ARC1 ?NUMBER1) | 4506 | (arcWeight ?ARC1 ?NUMBER1) | ||
| 4486 | (forall (?ARC2) | 4507 | (forall (?ARC2) | ||
| 4487 | (=> | 4508 | (=> | ||
| 4488 | (graphPart ?ARC2 ?PATH) | 4509 | (graphPart ?ARC2 ?PATH) | ||
| 4489 | (or | 4510 | (or | ||
| 4490 | (graphPart ?ARC2 ?SUBPATH) | 4511 | (graphPart ?ARC2 ?SUBPATH) | ||
| 4491 | (equal ?ARC2 ?ARC1))))) | 4512 | (equal ?ARC2 ?ARC1))))) | ||
| 4492 | (equal ?SUM (AdditionFn (PathWeightFn ?SUBPATH) ?NUMBER1))) | 4513 | (equal ?SUM (AdditionFn (PathWeightFn ?SUBPATH) ?NUMBER1))) | ||
| 4493 | 4514 | ||||
| 4494 | (=> | 4515 | (=> | ||
| 4495 | (and | 4516 | (and | ||
| 4496 | (equal (PathWeightFn ?PATH) ?SUM) | 4517 | (equal (PathWeightFn ?PATH) ?SUM) | ||
| 4497 | (graphPart ?ARC1 ?PATH) | 4518 | (graphPart ?ARC1 ?PATH) | ||
| 4498 | (graphPart ?ARC2 ?PATH) | 4519 | (graphPart ?ARC2 ?PATH) | ||
| 4499 | (arcWeight ?ARC1 ?NUMBER1) | 4520 | (arcWeight ?ARC1 ?NUMBER1) | ||
| 4500 | (arcWeight ?ARC2 ?NUMBER2) | 4521 | (arcWeight ?ARC2 ?NUMBER2) | ||
| 4501 | (forall (?ARC3) | 4522 | (forall (?ARC3) | ||
| 4502 | (=> | 4523 | (=> | ||
| 4503 | (graphPart ?ARC3 ?PATH) | 4524 | (graphPart ?ARC3 ?PATH) | ||
| 4504 | (or | 4525 | (or | ||
| 4505 | (equal ?ARC3 ?ARC1) | 4526 | (equal ?ARC3 ?ARC1) | ||
| 4506 | (equal ?ARC3 ?ARC2))))) | 4527 | (equal ?ARC3 ?ARC2))))) | ||
| 4507 | (equal (PathWeightFn ?PATH) (AdditionFn ?NUMBER1 ?NUMBER2))) | 4528 | (equal (PathWeightFn ?PATH) (AdditionFn ?NUMBER1 ?NUMBER2))) | ||
| 4508 | 4529 | ||||
| 4509 | (instance MinimalWeightedPathFn BinaryFunction) | 4530 | (instance MinimalWeightedPathFn BinaryFunction) | ||
| 4510 | (domain MinimalWeightedPathFn 1 GraphNode) | 4531 | (domain MinimalWeightedPathFn 1 GraphNode) | ||
| 4511 | (domain MinimalWeightedPathFn 2 GraphNode) | 4532 | (domain MinimalWeightedPathFn 2 GraphNode) | ||
| 4512 | (range MinimalWeightedPathFn GraphPath) | 4533 | (range MinimalWeightedPathFn GraphPath) | ||
| 4513 | (documentation MinimalWeightedPathFn "This &%BinaryFunction assigns two | 4534 | (documentation MinimalWeightedPathFn "This &%BinaryFunction assigns two | ||
| 4514 | &%GraphNodes to the &%GraphPath with the smallest sum of weighted arcs | 4535 | &%GraphNodes to the &%GraphPath with the smallest sum of weighted arcs | ||
| 4515 | between the two &%GraphNodes.") | 4536 | between the two &%GraphNodes.") | ||
| 4516 | 4537 | ||||
| 4517 | (=> | 4538 | (=> | ||
| 4518 | (equal (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | 4539 | (equal (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | ||
| 4519 | (instance ?PATH (GraphPathFn ?NODE1 ?NODE2))) | 4540 | (instance ?PATH (GraphPathFn ?NODE1 ?NODE2))) | ||
| 4520 | 4541 | ||||
| 4521 | (=> | 4542 | (=> | ||
| 4522 | (and | 4543 | (and | ||
| 4523 | (equal (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | 4544 | (equal (MinimalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | ||
| 4524 | (equal (PathWeightFn ?PATH) ?NUMBER)) | 4545 | (equal (PathWeightFn ?PATH) ?NUMBER)) | ||
| 4525 | (forall (?PATH2) | 4546 | (forall (?PATH2) | ||
| 4526 | (=> | 4547 | (=> | ||
| 4527 | (and | 4548 | (and | ||
| 4528 | (instance ?PATH2 (GraphPathFn ?NODE1 ?NODE2)) | 4549 | (instance ?PATH2 (GraphPathFn ?NODE1 ?NODE2)) | ||
| 4529 | (equal (PathWeightFn ?PATH2) ?NUMBER2)) | 4550 | (equal (PathWeightFn ?PATH2) ?NUMBER2)) | ||
| 4530 | (greaterThanOrEqualTo ?NUMBER2 ?NUMBER1)))) | 4551 | (greaterThanOrEqualTo ?NUMBER2 ?NUMBER1)))) | ||
| 4531 | 4552 | ||||
| 4532 | (instance MaximalWeightedPathFn BinaryFunction) | 4553 | (instance MaximalWeightedPathFn BinaryFunction) | ||
| 4533 | (domain MaximalWeightedPathFn 1 GraphNode) | 4554 | (domain MaximalWeightedPathFn 1 GraphNode) | ||
| 4534 | (domain MaximalWeightedPathFn 2 GraphNode) | 4555 | (domain MaximalWeightedPathFn 2 GraphNode) | ||
| 4535 | (range MaximalWeightedPathFn GraphPath) | 4556 | (range MaximalWeightedPathFn GraphPath) | ||
| 4536 | (documentation MaximalWeightedPathFn "This &%BinaryFunction assigns two | 4557 | (documentation MaximalWeightedPathFn "This &%BinaryFunction assigns two | ||
| 4537 | &%GraphNodes to the &%GraphPath with the largest sum of weighted arcs | 4558 | &%GraphNodes to the &%GraphPath with the largest sum of weighted arcs | ||
| 4538 | between the two &%GraphNodes.") | 4559 | between the two &%GraphNodes.") | ||
| 4539 | 4560 | ||||
| 4540 | (=> | 4561 | (=> | ||
| 4541 | (equal (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | 4562 | (equal (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | ||
| 4542 | (instance ?PATH (GraphPathFn ?NODE1 ?NODE2))) | 4563 | (instance ?PATH (GraphPathFn ?NODE1 ?NODE2))) | ||
| 4543 | 4564 | ||||
| 4544 | (=> | 4565 | (=> | ||
| 4545 | (and | 4566 | (and | ||
| 4546 | (equal (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | 4567 | (equal (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH) | ||
| 4547 | (equal (PathWeightFn ?PATH) ?NUMBER)) | 4568 | (equal (PathWeightFn ?PATH) ?NUMBER)) | ||
| 4548 | (forall (?PATH2) | 4569 | (forall (?PATH2) | ||
| 4549 | (=> | 4570 | (=> | ||
| 4550 | (and | 4571 | (and | ||
| 4551 | (instance ?PATH2 (GraphPathFn ?NODE1 ?NODE2)) | 4572 | (instance ?PATH2 (GraphPathFn ?NODE1 ?NODE2)) | ||
| 4552 | (equal (PathWeightFn ?PATH2) ?NUMBER2)) | 4573 | (equal (PathWeightFn ?PATH2) ?NUMBER2)) | ||
| 4553 | (lessThanOrEqualTo ?NUMBER2 ?NUMBER1)))) | 4574 | (lessThanOrEqualTo ?NUMBER2 ?NUMBER1)))) | ||
| 4554 | 4575 | ||||
| 4555 | (instance GraphPathFn BinaryFunction) | 4576 | (instance GraphPathFn BinaryFunction) | ||
| 4556 | (instance GraphPathFn TotalValuedRelation) | 4577 | (instance GraphPathFn TotalValuedRelation) | ||
| 4557 | (domain GraphPathFn 1 GraphNode) | 4578 | (domain GraphPathFn 1 GraphNode) | ||
| 4558 | (domain GraphPathFn 2 GraphNode) | 4579 | (domain GraphPathFn 2 GraphNode) | ||
| 4559 | (rangeSubclass GraphPathFn GraphPath) | 4580 | (rangeSubclass GraphPathFn GraphPath) | ||
| 4560 | (documentation GraphPathFn "A &%BinaryFunction that maps two &%GraphNodes | 4581 | (documentation GraphPathFn "A &%BinaryFunction that maps two &%GraphNodes | ||
| 4561 | to the &%Class of &%GraphPaths between those two nodes. Note that the two | 4582 | to the &%Class of &%GraphPaths between those two nodes. Note that the two | ||
| 4562 | &%GraphNodes must belong to the same &%Graph.") | 4583 | &%GraphNodes must belong to the same &%Graph.") | ||
| 4563 | 4584 | ||||
| 4564 | (=> | 4585 | (=> | ||
| 4565 | (and | 4586 | (and | ||
| 4566 | (graphPart ?PATH ?GRAPH) | 4587 | (graphPart ?PATH ?GRAPH) | ||
| 4567 | (not (instance ?GRAPH DirectedGraph))) | 4588 | (not (instance ?GRAPH DirectedGraph))) | ||
| 4568 | (<=> | 4589 | (<=> | ||
| 4569 | (equal (GraphPathFn ?NODE1 ?NODE2) ?PATH) | 4590 | (equal (GraphPathFn ?NODE1 ?NODE2) ?PATH) | ||
| 4570 | (equal (GraphPathFn ?NODE2 ?NODE1) ?PATH))) | 4591 | (equal (GraphPathFn ?NODE2 ?NODE1) ?PATH))) | ||
| 4571 | 4592 | ||||
| 4572 | (instance CutSetFn UnaryFunction) | 4593 | (instance CutSetFn UnaryFunction) | ||
| 4573 | (domain CutSetFn 1 Graph) | 4594 | (domain CutSetFn 1 Graph) | ||
| 4574 | (rangeSubclass CutSetFn GraphPath) | 4595 | (rangeSubclass CutSetFn GraphPath) | ||
| 4575 | (documentation CutSetFn "A &%UnaryFunction that assigns a &%Graph the | 4596 | (documentation CutSetFn "A &%UnaryFunction that assigns a &%Graph the | ||
| 4576 | &%Class of &%GraphPaths that partition the graph into two separate | 4597 | &%Class of &%GraphPaths that partition the graph into two separate | ||
| 4577 | graphs if cut. There may be more than one cutset for a given graph.") | 4598 | graphs if cut. There may be more than one cutset for a given graph.") | ||
| 4578 | 4599 | ||||
| 4579 | (instance MinimalCutSetFn UnaryFunction) | 4600 | (instance MinimalCutSetFn UnaryFunction) | ||
| 4580 | (domain MinimalCutSetFn 1 Graph) | 4601 | (domain MinimalCutSetFn 1 Graph) | ||
| 4581 | (rangeSubclass MinimalCutSetFn GraphPath) | 4602 | (rangeSubclass MinimalCutSetFn GraphPath) | ||
| 4582 | (relatedInternalConcept MinimalCutSetFn CutSetFn) | 4603 | (relatedInternalConcept MinimalCutSetFn CutSetFn) | ||
| 4583 | (documentation MinimalCutSetFn "A &%UnaryFunction that assigns a &%Graph | 4604 | (documentation MinimalCutSetFn "A &%UnaryFunction that assigns a &%Graph | ||
| 4584 | the &%Class of &%GraphPaths which comprise cutsets for the &%Graph and | 4605 | the &%Class of &%GraphPaths which comprise cutsets for the &%Graph and | ||
| 4585 | which have the least number of &%GraphArcs.") | 4606 | which have the least number of &%GraphArcs.") | ||
| 4586 | 4607 | ||||
| 4587 | (=> | 4608 | (=> | ||
| 4588 | (instance ?GRAPH Graph) | 4609 | (instance ?GRAPH Graph) | ||
| 4589 | (subclass (MinimalCutSetFn ?GRAPH) (CutSetFn ?GRAPH))) | 4610 | (subclass (MinimalCutSetFn ?GRAPH) (CutSetFn ?GRAPH))) | ||
| 4590 | 4611 | ||||
| 4591 | (=> | 4612 | (=> | ||
| 4592 | (equal (MinimalCutSetFn ?GRAPH) ?PATHCLASS) | 4613 | (equal (MinimalCutSetFn ?GRAPH) ?PATHCLASS) | ||
| 4593 | (exists (?NUMBER) | 4614 | (exists (?NUMBER) | ||
| 4594 | (forall (?PATH) | 4615 | (forall (?PATH) | ||
| 4595 | (=> | 4616 | (=> | ||
| 4596 | (instance ?PATH ?PATHCLASS) | 4617 | (instance ?PATH ?PATHCLASS) | ||
| 4597 | (pathLength ?PATH ?NUMBER))))) | 4618 | (pathLength ?PATH ?NUMBER))))) | ||
| 4598 | 4619 | ||||
| 4599 | (not (exists (?PATH1 ?PATH2) | 4620 | (not (exists (?PATH1 ?PATH2) | ||
| 4600 | (and | 4621 | (and | ||
| 4601 | (instance ?PATH1 (CutSetFn ?GRAPH)) | 4622 | (instance ?PATH1 (CutSetFn ?GRAPH)) | ||
| 4602 | (instance ?PATH2 (MinimalCutSetFn ?GRAPH)) | 4623 | (instance ?PATH2 (MinimalCutSetFn ?GRAPH)) | ||
| 4603 | (pathLength ?PATH1 ?NUMBER1) | 4624 | (pathLength ?PATH1 ?NUMBER1) | ||
| 4604 | (pathLength ?PATH2 ?NUMBER2) | 4625 | (pathLength ?PATH2 ?NUMBER2) | ||
| 4605 | (lessThan ?NUMBER1 ?NUMBER2)))) | 4626 | (lessThan ?NUMBER1 ?NUMBER2)))) | ||
| 4606 | 4627 | ||||
| 4607 | ;; END FILE | 4628 | ;; END FILE | ||
| 4608 | 4629 | ||||
| 4609 | ;; BEGIN FILE | 4630 | ;; BEGIN FILE | ||
| 4610 | 4631 | ||||
| 4611 | 4632 | ||||
| 4612 | ;;;;;;;;;;;;;;;;;;;;;;;;; | 4633 | ;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 4613 | ;; UNITS OF MEASURE ;; | 4634 | ;; UNITS OF MEASURE ;; | ||
| 4614 | ;;;;;;;;;;;;;;;;;;;;;;;;; | 4635 | ;;;;;;;;;;;;;;;;;;;;;;;;; | ||
| 4615 | 4636 | ||||
| 4616 | ;; INCLUDES 'NUMERIC FUNCTIONS' | 4637 | ;; INCLUDES 'NUMERIC FUNCTIONS' | ||
| 4617 | 4638 | ||||
| 4618 | ;; This section was originally based on the relations in the Quantities | 4639 | ;; This section was originally based on the relations in the Quantities | ||
| 4619 | ;; ontology (developed by ITBM-CNR) and the units of measure in the | 4640 | ;; ontology (developed by ITBM-CNR) and the units of measure in the | ||
| 4620 | ;; "Standard Units" and "Standard Dimensions" ontologies on the Ontolingua | 4641 | ;; "Standard Units" and "Standard Dimensions" ontologies on the Ontolingua | ||
| 4621 | ;; server. This content has been extensively revised by Helena Sofia Pinto | 4642 | ;; server. This content has been extensively revised by Helena Sofia Pinto | ||
| 4622 | ;; of the Instituto Superior Tecnico in Portugal. The sources for these | 4643 | ;; of the Instituto Superior Tecnico in Portugal. The sources for these | ||
| 4623 | ;; revisions were: | 4644 | ;; revisions were: | ||
| 4624 | ;; - Barry Taylor, NIST Special Publication 811, Guide for the Use of the | 4645 | ;; - Barry Taylor, NIST Special Publication 811, Guide for the Use of the | ||
| 4625 | ;; International System of Units (SI), 1995. | 4646 | ;; International System of Units (SI), 1995. | ||
| 4626 | ;; - Encyclopaedia Britannica (on-line version at http://www.britannica.com) | 4647 | ;; - Encyclopaedia Britannica (on-line version at http://www.britannica.com) | ||
| 4627 | 4648 | ||||
| 4628 | (subclass UnitOfMeasure PhysicalQuantity) | 4649 | (subclass UnitOfMeasure PhysicalQuantity) | ||
| 4629 | (documentation UnitOfMeasure "A standard of measurement for some dimension. | 4650 | (documentation UnitOfMeasure "A standard of measurement for some dimension. | ||
| 4630 | For example, the &%Meter is a &%UnitOfMeasure for the dimension of length, | 4651 | For example, the &%Meter is a &%UnitOfMeasure for the dimension of length, | ||
| 4631 | as is the &%Inch. There is no intrinsic property of a &%UnitOfMeasure that | 4652 | as is the &%Inch. There is no intrinsic property of a &%UnitOfMeasure that | ||
| 4632 | makes it primitive or fundamental; rather, a system of units (e.g. | 4653 | makes it primitive or fundamental; rather, a system of units (e.g. | ||
| 4633 | &%SystemeInternationalUnit) defines a set of orthogonal dimensions and | 4654 | &%SystemeInternationalUnit) defines a set of orthogonal dimensions and | ||
| 4634 | assigns units for each.") | 4655 | assigns units for each.") | ||
| 4635 | 4656 | ||||
| 4636 | (subclass SystemeInternationalUnit UnitOfMeasure) | 4657 | (subclass SystemeInternationalUnit UnitOfMeasure) | ||
| 4637 | (documentation SystemeInternationalUnit "The &%Class of Systeme | 4658 | (documentation SystemeInternationalUnit "The &%Class of Systeme | ||
| 4638 | International (SI) units.") | 4659 | International (SI) units.") | ||
| 4639 | 4660 | ||||
| 4640 | (subclass LengthMeasure ConstantQuantity) | 4661 | (subclass LengthMeasure ConstantQuantity) | ||
| 4641 | (documentation LengthMeasure "The &%Class of &%ConstantQuantities relating | 4662 | (documentation LengthMeasure "The &%Class of &%ConstantQuantities relating | ||
| 4642 | to length.") | 4663 | to length.") | ||
| 4643 | 4664 | ||||
| 4644 | (subclass MassMeasure ConstantQuantity) | 4665 | (subclass MassMeasure ConstantQuantity) | ||
| 4645 | (documentation MassMeasure "The &%Class of &%ConstantQuantities relating | 4666 | (documentation MassMeasure "The &%Class of &%ConstantQuantities relating | ||
| 4646 | to the amount of matter in an &%Object.") | 4667 | to the amount of matter in an &%Object.") | ||
| 4647 | 4668 | ||||
| 4648 | (subclass AreaMeasure ConstantQuantity) | 4669 | (subclass AreaMeasure ConstantQuantity) | ||
| 4649 | (documentation AreaMeasure "Measures of the amount of space in two | 4670 | (documentation AreaMeasure "Measures of the amount of space in two | ||
| 4650 | dimensions.") | 4671 | dimensions.") | ||
| 4651 | 4672 | ||||
| 4652 | (subclass VolumeMeasure ConstantQuantity) | 4673 | (subclass VolumeMeasure ConstantQuantity) | ||
| 4653 | (documentation VolumeMeasure "Measures of the amount of space in three | 4674 | (documentation VolumeMeasure "Measures of the amount of space in three | ||
| 4654 | dimensions.") | 4675 | dimensions.") | ||
| 4655 | 4676 | ||||
| 4656 | (subclass TemperatureMeasure ConstantQuantity) | 4677 | (subclass TemperatureMeasure ConstantQuantity) | ||
| 4657 | (documentation TemperatureMeasure "Measures of temperature. | 4678 | (documentation TemperatureMeasure "Measures of temperature. | ||
| 4658 | In scientific circles, the temperature of something is understood as the | 4679 | In scientific circles, the temperature of something is understood as the | ||
| 4659 | average velocity of the atoms or molecules that make up the thing.") | 4680 | average velocity of the atoms or molecules that make up the thing.") | ||
| 4660 | 4681 | ||||
| 4661 | (subclass CurrencyMeasure ConstantQuantity) | 4682 | (subclass CurrencyMeasure ConstantQuantity) | ||
| 4662 | (documentation CurrencyMeasure "Includes all standard measures of monetary | 4683 | (documentation CurrencyMeasure "Includes all standard measures of monetary | ||
| 4663 | value, including &%UnitedStatesDollar, &%UnitedStatesCent, Lire, Yen, etc.") | 4684 | value, including &%UnitedStatesDollar, &%UnitedStatesCent, Lire, Yen, etc.") | ||
| 4664 | 4685 | ||||
| 4665 | (subclass AngleMeasure ConstantQuantity) | 4686 | (subclass AngleMeasure ConstantQuantity) | ||
| 4666 | (documentation AngleMeasure "The value of an angle in a plane or in a | 4687 | (documentation AngleMeasure "The value of an angle in a plane or in a | ||
| 4667 | solid.") | 4688 | solid.") | ||
| 4668 | 4689 | ||||
| 4669 | (subclass PlaneAngleMeasure AngleMeasure) | 4690 | (subclass PlaneAngleMeasure AngleMeasure) | ||
| 4670 | (documentation PlaneAngleMeasure "The value of an angle in a plane.") | 4691 | (documentation PlaneAngleMeasure "The value of an angle in a plane.") | ||
| 4671 | 4692 | ||||
| 4672 | (subclass SolidAngleMeasure AngleMeasure) | 4693 | (subclass SolidAngleMeasure AngleMeasure) | ||
| 4673 | (disjoint SolidAngleMeasure PlaneAngleMeasure) | 4694 | (disjoint SolidAngleMeasure PlaneAngleMeasure) | ||
| 4674 | (documentation SolidAngleMeasure "The value of an angle in a solid.") | 4695 | (documentation SolidAngleMeasure "The value of an angle in a solid.") | ||
| 4675 | 4696 | ||||
| 4676 | (instance MeasureFn BinaryFunction) | 4697 | (instance MeasureFn BinaryFunction) | ||
| 4677 | (instance MeasureFn TotalValuedRelation) | 4698 | (instance MeasureFn TotalValuedRelation) | ||
| 4678 | (domain MeasureFn 1 RealNumber) | 4699 | (domain MeasureFn 1 RealNumber) | ||
| 4679 | (domain MeasureFn 2 UnitOfMeasure) | 4700 | (domain MeasureFn 2 UnitOfMeasure) | ||
| 4680 | (range MeasureFn ConstantQuantity) | 4701 | (range MeasureFn ConstantQuantity) | ||
| 4681 | (documentation MeasureFn "This &%BinaryFunction maps a &%RealNumber and | 4702 | (documentation MeasureFn "This &%BinaryFunction maps a &%RealNumber and | ||
| 4682 | a &%UnitOfMeasure to that &%Number of units. It is used for expressing | 4703 | a &%UnitOfMeasure to that &%Number of units. It is used for expressing | ||
| 4683 | &%ConstantQuantities. For example, the concept of three meters is | 4704 | &%ConstantQuantities. For example, the concept of three meters is | ||
| 4684 | represented as (&%MeasureFn 3 &%Meter).") | 4705 | represented as (&%MeasureFn 3 &%Meter).") | ||
| 4685 | 4706 | ||||
| 4686 | (=> | 4707 | (=> | ||
| 4687 | (and | 4708 | (and | ||
| 4688 | (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT) | 4709 | (equal (MeasureFn ?NUMBER ?UNIT) ?QUANT) | ||
| 4689 | (subclass ?UNIT ?QUANTTYPE)) | 4710 | (subclass ?UNIT ?QUANTTYPE)) | ||
| 4690 | (instance ?QUANT ?QUANTTYPE)) | 4711 | (instance ?QUANT ?QUANTTYPE)) | ||
| 4691 | 4712 | ||||
| 4692 | (=> | 4713 | (=> | ||
| 4693 | (and | 4714 | (and | ||
| 4694 | (instance ?REL RelationExtendedToQuantities) | 4715 | (instance ?REL RelationExtendedToQuantities) | ||
| 4695 | (instance ?REL TernaryRelation) | 4716 | (instance ?REL TernaryRelation) | ||
| 4696 | (instance ?NUMBER1 RealNumber) | 4717 | (instance ?NUMBER1 RealNumber) | ||
| 4697 | (instance ?NUMBER2 RealNumber) | 4718 | (instance ?NUMBER2 RealNumber) | ||
| 4698 | (holds ?REL ?NUMBER1 ?NUMBER2 ?VALUE)) | 4719 | (holds ?REL ?NUMBER1 ?NUMBER2 ?VALUE)) | ||
| 4699 | (forall (?UNIT) | 4720 | (forall (?UNIT) | ||
| 4700 | (=> | 4721 | (=> | ||
| 4701 | (instance ?UNIT UnitOfMeasure) | 4722 | (instance ?UNIT UnitOfMeasure) | ||
| 4702 | (holds ?REL (MeasureFn ?NUMBER1 ?UNIT) (MeasureFn ?NUMBER2 ?UNIT) (MeasureFn ?VALUE ?UNIT))))) | 4723 | (holds ?REL (MeasureFn ?NUMBER1 ?UNIT) (MeasureFn ?NUMBER2 ?UNIT) (MeasureFn ?VALUE ?UNIT))))) | ||
| 4703 | 4724 | ||||
| 4704 | (=> | 4725 | (=> | ||
| 4705 | (and | 4726 | (and | ||
| 4706 | (instance ?REL RelationExtendedToQuantities) | 4727 | (instance ?REL RelationExtendedToQuantities) | ||
| 4707 | (instance ?REL BinaryRelation) | 4728 | (instance ?REL BinaryRelation) | ||
| 4708 | (instance ?NUMBER1 RealNumber) | 4729 | (instance ?NUMBER1 RealNumber) | ||
| 4709 | (instance ?NUMBER2 RealNumber) | 4730 | (instance ?NUMBER2 RealNumber) | ||
| 4710 | (holds ?REL ?NUMBER1 ?NUMBER2)) | 4731 | (holds ?REL ?NUMBER1 ?NUMBER2)) | ||
| 4711 | (forall (?UNIT) | 4732 | (forall (?UNIT) | ||
| 4712 | (=> | 4733 | (=> | ||
| 4713 | (instance ?UNIT UnitOfMeasure) | 4734 | (instance ?UNIT UnitOfMeasure) | ||
| 4714 | (holds ?REL (MeasureFn ?NUMBER1 ?UNIT) (MeasureFn ?NUMBER2 ?UNIT))))) | 4735 | (holds ?REL (MeasureFn ?NUMBER1 ?UNIT) (MeasureFn ?NUMBER2 ?UNIT))))) | ||
| 4715 | 4736 | ||||
| 4716 | (instance KiloFn UnaryFunction) | 4737 | (instance KiloFn UnaryFunction) | ||
| 4717 | (instance KiloFn TotalValuedRelation) | 4738 | (instance KiloFn TotalValuedRelation) | ||
| 4718 | (domain KiloFn 1 UnitOfMeasure) | 4739 | (domain KiloFn 1 UnitOfMeasure) | ||
| 4719 | (range KiloFn UnitOfMeasure) | 4740 | (range KiloFn UnitOfMeasure) | ||
| 4720 | (documentation KiloFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | 4741 | (documentation KiloFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | ||
| 4721 | a &%UnitOfMeasure that is equal to 1,000 units of the original &%UnitOfMeasure. | 4742 | a &%UnitOfMeasure that is equal to 1,000 units of the original &%UnitOfMeasure. | ||
| 4722 | For example, (&%KiloFn &%Gram) is 1,000 &%Grams.") | 4743 | For example, (&%KiloFn &%Gram) is 1,000 &%Grams.") | ||
| 4723 | 4744 | ||||
| 4724 | (=> | 4745 | (=> | ||
| 4725 | (instance ?UNIT UnitOfMeasure) | 4746 | (instance ?UNIT UnitOfMeasure) | ||
| 4726 | (equal (KiloFn ?UNIT) (MeasureFn 1000 ?UNIT))) | 4747 | (equal (KiloFn ?UNIT) (MeasureFn 1000 ?UNIT))) | ||
| 4727 | 4748 | ||||
| 4728 | (instance MegaFn UnaryFunction) | 4749 | (instance MegaFn UnaryFunction) | ||
| 4729 | (instance MegaFn TotalValuedRelation) | 4750 | (instance MegaFn TotalValuedRelation) | ||
| 4730 | (domain MegaFn 1 UnitOfMeasure) | 4751 | (domain MegaFn 1 UnitOfMeasure) | ||
| 4731 | (range MegaFn UnitOfMeasure) | 4752 | (range MegaFn UnitOfMeasure) | ||
| 4732 | (documentation MegaFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | 4753 | (documentation MegaFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | ||
| 4733 | a &%UnitOfMeasure that is equal to 1,000,000 units of the original | 4754 | a &%UnitOfMeasure that is equal to 1,000,000 units of the original | ||
| 4734 | &%UnitOfMeasure. For example, (&%MegaFn &%Hertz) is 1,000,000 &%Hertz.") | 4755 | &%UnitOfMeasure. For example, (&%MegaFn &%Hertz) is 1,000,000 &%Hertz.") | ||
| 4735 | 4756 | ||||
| 4736 | (=> | 4757 | (=> | ||
| 4737 | (instance ?UNIT UnitOfMeasure) | 4758 | (instance ?UNIT UnitOfMeasure) | ||
| 4738 | (equal (MegaFn ?UNIT) (MeasureFn 1000000 ?UNIT))) | 4759 | (equal (MegaFn ?UNIT) (MeasureFn 1000000 ?UNIT))) | ||
| 4739 | 4760 | ||||
| 4740 | (instance GigaFn UnaryFunction) | 4761 | (instance GigaFn UnaryFunction) | ||
| 4741 | (instance GigaFn TotalValuedRelation) | 4762 | (instance GigaFn TotalValuedRelation) | ||
| 4742 | (domain GigaFn 1 UnitOfMeasure) | 4763 | (domain GigaFn 1 UnitOfMeasure) | ||
| 4743 | (range GigaFn UnitOfMeasure) | 4764 | (range GigaFn UnitOfMeasure) | ||
| 4744 | (documentation GigaFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | 4765 | (documentation GigaFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | ||
| 4745 | a &%UnitOfMeasure that is equal to 1,000,000,000 units of the original | 4766 | a &%UnitOfMeasure that is equal to 1,000,000,000 units of the original | ||
| 4746 | &%UnitOfMeasure. For example, (&%GigaFn &%Hertz) is 1,000,000,000 &%Hertz.") | 4767 | &%UnitOfMeasure. For example, (&%GigaFn &%Hertz) is 1,000,000,000 &%Hertz.") | ||
| 4747 | 4768 | ||||
| 4748 | (=> | 4769 | (=> | ||
| 4749 | (instance ?UNIT UnitOfMeasure) | 4770 | (instance ?UNIT UnitOfMeasure) | ||
| 4750 | (equal (GigaFn ?UNIT) (MeasureFn 1000000000 ?UNIT))) | 4771 | (equal (GigaFn ?UNIT) (MeasureFn 1000000000 ?UNIT))) | ||
| 4751 | 4772 | ||||
| 4752 | (instance TeraFn UnaryFunction) | 4773 | (instance TeraFn UnaryFunction) | ||
| 4753 | (instance TeraFn TotalValuedRelation) | 4774 | (instance TeraFn TotalValuedRelation) | ||
| 4754 | (domain TeraFn 1 UnitOfMeasure) | 4775 | (domain TeraFn 1 UnitOfMeasure) | ||
| 4755 | (range TeraFn UnitOfMeasure) | 4776 | (range TeraFn UnitOfMeasure) | ||
| 4756 | (documentation TeraFn "A &%UnaryFunction that maps a &%UnitOfMeasure | 4777 | (documentation TeraFn "A &%UnaryFunction that maps a &%UnitOfMeasure | ||
| 4757 | into a &%UnitOfMeasure that is equal to 1,000,000,000,000 units of the original | 4778 | into a &%UnitOfMeasure that is equal to 1,000,000,000,000 units of the original | ||
| 4758 | &%UnitOfMeasure. For example, (&%TeraFn &%Hertz) is 1,000,000,000,000 &%Hertz.") | 4779 | &%UnitOfMeasure. For example, (&%TeraFn &%Hertz) is 1,000,000,000,000 &%Hertz.") | ||
| 4759 | 4780 | ||||
| 4760 | (=> | 4781 | (=> | ||
| 4761 | (instance ?UNIT UnitOfMeasure) | 4782 | (instance ?UNIT UnitOfMeasure) | ||
| 4762 | (equal (TeraFn ?UNIT) (MeasureFn 1000000000000 ?UNIT))) | 4783 | (equal (TeraFn ?UNIT) (MeasureFn 1000000000000 ?UNIT))) | ||
| 4763 | 4784 | ||||
| 4764 | (instance MilliFn UnaryFunction) | 4785 | (instance MilliFn UnaryFunction) | ||
| 4765 | (instance MilliFn TotalValuedRelation) | 4786 | (instance MilliFn TotalValuedRelation) | ||
| 4766 | (domain MilliFn 1 UnitOfMeasure) | 4787 | (domain MilliFn 1 UnitOfMeasure) | ||
| 4767 | (range MilliFn UnitOfMeasure) | 4788 | (range MilliFn UnitOfMeasure) | ||
| 4768 | (documentation MilliFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | 4789 | (documentation MilliFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | ||
| 4769 | a &%UnitOfMeasure that is equal to .001 units of the original &%UnitOfMeasure. | 4790 | a &%UnitOfMeasure that is equal to .001 units of the original &%UnitOfMeasure. | ||
| 4770 | For example, (&%MilliFn &%Ampere) is .001 &%Amperes.") | 4791 | For example, (&%MilliFn &%Ampere) is .001 &%Amperes.") | ||
| 4771 | 4792 | ||||
| 4772 | (=> | 4793 | (=> | ||
| 4773 | (instance ?UNIT UnitOfMeasure) | 4794 | (instance ?UNIT UnitOfMeasure) | ||
| 4774 | (equal (MilliFn ?UNIT) (MeasureFn 0.001 ?UNIT))) | 4795 | (equal (MilliFn ?UNIT) (MeasureFn 0.001 ?UNIT))) | ||
| 4775 | 4796 | ||||
| 4776 | (instance MicroFn UnaryFunction) | 4797 | (instance MicroFn UnaryFunction) | ||
| 4777 | (instance MicroFn TotalValuedRelation) | 4798 | (instance MicroFn TotalValuedRelation) | ||
| 4778 | (domain MicroFn 1 UnitOfMeasure) | 4799 | (domain MicroFn 1 UnitOfMeasure) | ||
| 4779 | (range MicroFn UnitOfMeasure) | 4800 | (range MicroFn UnitOfMeasure) | ||
| 4780 | (documentation MicroFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | 4801 | (documentation MicroFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | ||
| 4781 | a &%UnitOfMeasure that is equal to .000001 units of the original &%UnitOfMeasure. | 4802 | a &%UnitOfMeasure that is equal to .000001 units of the original &%UnitOfMeasure. | ||
| 4782 | For example, (&%MicroFn &%Meter) is .000001 &%Meters.") | 4803 | For example, (&%MicroFn &%Meter) is .000001 &%Meters.") | ||
| 4783 | 4804 | ||||
| 4784 | (=> | 4805 | (=> | ||
| 4785 | (instance ?UNIT UnitOfMeasure) | 4806 | (instance ?UNIT UnitOfMeasure) | ||
| 4786 | (equal (MicroFn ?UNIT) (MeasureFn 0.000001 ?UNIT))) | 4807 | (equal (MicroFn ?UNIT) (MeasureFn 0.000001 ?UNIT))) | ||
| 4787 | 4808 | ||||
| 4788 | (instance NanoFn UnaryFunction) | 4809 | (instance NanoFn UnaryFunction) | ||
| 4789 | (instance NanoFn TotalValuedRelation) | 4810 | (instance NanoFn TotalValuedRelation) | ||
| 4790 | (domain NanoFn 1 UnitOfMeasure) | 4811 | (domain NanoFn 1 UnitOfMeasure) | ||
| 4791 | (range NanoFn UnitOfMeasure) | 4812 | (range NanoFn UnitOfMeasure) | ||
| 4792 | (documentation NanoFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | 4813 | (documentation NanoFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | ||
| 4793 | a &%UnitOfMeasure that is equal to .000000001 units of the original | 4814 | a &%UnitOfMeasure that is equal to .000000001 units of the original | ||
| 4794 | &%UnitOfMeasure. For example, (&%MicroFn &%SecondDuration) is .000000001 | 4815 | &%UnitOfMeasure. For example, (&%MicroFn &%SecondDuration) is .000000001 | ||
| 4795 | &%SecondDurations.") | 4816 | &%SecondDurations.") | ||
| 4796 | 4817 | ||||
| 4797 | (=> | 4818 | (=> | ||
| 4798 | (instance ?UNIT UnitOfMeasure) | 4819 | (instance ?UNIT UnitOfMeasure) | ||
| 4799 | (equal (NanoFn ?UNIT) (MeasureFn 0.000000001 ?UNIT))) | 4820 | (equal (NanoFn ?UNIT) (MeasureFn 0.000000001 ?UNIT))) | ||
| 4800 | 4821 | ||||
| 4801 | (instance PicoFn UnaryFunction) | 4822 | (instance PicoFn UnaryFunction) | ||
| 4802 | (instance PicoFn TotalValuedRelation) | 4823 | (instance PicoFn TotalValuedRelation) | ||
| 4803 | (domain PicoFn 1 UnitOfMeasure) | 4824 | (domain PicoFn 1 UnitOfMeasure) | ||
| 4804 | (range PicoFn UnitOfMeasure) | 4825 | (range PicoFn UnitOfMeasure) | ||
| 4805 | (documentation PicoFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | 4826 | (documentation PicoFn "A &%UnaryFunction that maps a &%UnitOfMeasure into | ||
| 4806 | a &%UnitOfMeasure that is equal to .000000000001 units of the original | 4827 | a &%UnitOfMeasure that is equal to .000000000001 units of the original | ||
| 4807 | &%UnitOfMeasure. For example, (&%PicoFn &%Ampere) is .000000000001 | 4828 | &%UnitOfMeasure. For example, (&%PicoFn &%Ampere) is .000000000001 | ||
| 4808 | &%Amperes.") | 4829 | &%Amperes.") | ||
| 4809 | 4830 | ||||
| 4810 | (=> | 4831 | (=> | ||
| 4811 | (instance ?UNIT UnitOfMeasure) | 4832 | (instance ?UNIT UnitOfMeasure) | ||
| 4812 | (equal (PicoFn ?UNIT) (MeasureFn 0.000000000001 ?UNIT))) | 4833 | (equal (PicoFn ?UNIT) (MeasureFn 0.000000000001 ?UNIT))) | ||
| 4813 | 4834 | ||||
| 4814 | (instance IntervalFn BinaryFunction) | 4835 | (instance IntervalFn BinaryFunction) | ||
| 4815 | (domain IntervalFn 1 ConstantQuantity) | 4836 | (domain IntervalFn 1 ConstantQuantity) | ||
| 4816 | (domain IntervalFn 2 ConstantQuantity) | 4837 | (domain IntervalFn 2 ConstantQuantity) | ||
| 4817 | (rangeSubclass IntervalFn ConstantQuantity) | 4838 | (rangeSubclass IntervalFn ConstantQuantity) | ||
| 4818 | (relatedInternalConcept IntervalFn RecurrentTimeIntervalFn) | 4839 | (relatedInternalConcept IntervalFn RecurrentTimeIntervalFn) | ||
| 4819 | (documentation IntervalFn "A &%BinaryFunction that maps two &%ConstantQuantities | 4840 | (documentation IntervalFn "A &%BinaryFunction that maps two &%ConstantQuantities | ||
| 4820 | to the &%Class of &%ConstantQuantities that comprise the interval from the first | 4841 | to the &%Class of &%ConstantQuantities that comprise the interval from the first | ||
| 4821 | &%ConstantQuantity to the second &%ConstantQuantity. For example, (&%IntervalFn | 4842 | &%ConstantQuantity to the second &%ConstantQuantity. For example, (&%IntervalFn | ||
| 4822 | (&%MeasureFn 8 &%Meter) (&%MeasureFn 14 &%Meter)) would return the &%Class of | 4843 | (&%MeasureFn 8 &%Meter) (&%MeasureFn 14 &%Meter)) would return the &%Class of | ||
| 4823 | &%ConstantQuantities between 8 and 14 meters in length.") | 4844 | &%ConstantQuantities between 8 and 14 meters in length.") | ||
| 4824 | 4845 | ||||
| 4825 | (<=> | 4846 | (<=> | ||
| 4826 | (instance ?QUANTITY (IntervalFn ?FROM ?TO)) | 4847 | (instance ?QUANTITY (IntervalFn ?FROM ?TO)) | ||
| 4827 | (and | 4848 | (and | ||
| 4828 | (greaterThanOrEqualTo ?QUANTITY ?FROM) | 4849 | (greaterThanOrEqualTo ?QUANTITY ?FROM) | ||
| 4829 | (lessThanOrEqualTo ?QUANTITY ?TO))) | 4850 | (lessThanOrEqualTo ?QUANTITY ?TO))) | ||
| 4830 | 4851 | ||||
| 4831 | (instance MagnitudeFn UnaryFunction) | 4852 | (instance MagnitudeFn UnaryFunction) | ||
| 4832 | (domain MagnitudeFn 1 ConstantQuantity) | 4853 | (domain MagnitudeFn 1 ConstantQuantity) | ||
| 4833 | (range MagnitudeFn RealNumber) | 4854 | (range MagnitudeFn RealNumber) | ||
| 4834 | (documentation MagnitudeFn "The magnitude of a &%ConstantQuantity is the | 4855 | (documentation MagnitudeFn "The magnitude of a &%ConstantQuantity is the | ||
| 4835 | numeric value for the quantity. In other words, &%MagnitudeFn converts | 4856 | numeric value for the quantity. In other words, &%MagnitudeFn converts | ||
| 4836 | a &%ConstantQuantity with an associated &%UnitOfMeasure into an ordinary | 4857 | a &%ConstantQuantity with an associated &%UnitOfMeasure into an ordinary | ||
| 4837 | &%RealNumber. For example, the magnitude of the &%ConstantQuantity 2 | 4858 | &%RealNumber. For example, the magnitude of the &%ConstantQuantity 2 | ||
| 4838 | &%Kilometers is the &%RealNumber 2. Note that the magnitude of a | 4859 | &%Kilometers is the &%RealNumber 2. Note that the magnitude of a | ||
| 4839 | quantity in a given unit times that unit is equal to the original | 4860 | quantity in a given unit times that unit is equal to the original | ||
| 4840 | quantity.") | 4861 | quantity.") | ||
| 4841 | 4862 | ||||
| 4842 | (=> | 4863 | (=> | ||
| 4843 | (and | 4864 | (and | ||
| 4844 | (instance ?NUMBER RealNumber) | 4865 | (instance ?NUMBER RealNumber) | ||
| 4845 | (instance ?UNIT UnitOfMeasure)) | 4866 | (instance ?UNIT UnitOfMeasure)) | ||
| 4846 | (equal (MagnitudeFn (MeasureFn ?NUMBER ?UNIT)) ?NUMBER)) | 4867 | (equal (MagnitudeFn (MeasureFn ?NUMBER ?UNIT)) ?NUMBER)) | ||
| 4847 | 4868 | ||||
| 4848 | (instance PerFn BinaryFunction) | 4869 | (instance PerFn BinaryFunction) | ||
| 4849 | (instance PerFn TotalValuedRelation) | 4870 | (instance PerFn TotalValuedRelation) | ||
| 4850 | (domain PerFn 1 ConstantQuantity) | 4871 | (domain PerFn 1 ConstantQuantity) | ||
| 4851 | (domain PerFn 2 ConstantQuantity) | 4872 | (domain PerFn 2 ConstantQuantity) | ||
| 4852 | (range PerFn FunctionQuantity) | 4873 | (range PerFn FunctionQuantity) | ||
| 4853 | (documentation PerFn "&%PerFn maps two instances of &%ConstantQuantity to the &%FunctionQuantity composed of these two instances. For example, (&%PerFn (&%MeasureFn 2 (&%MicroFn &%Gram)) (&%MeasureFn 1 (&%KiloFn &%Gram))) denotes the &%FunctionQuantity of | 4874 | (documentation PerFn "&%PerFn maps two instances of &%ConstantQuantity to the &%FunctionQuantity composed of these two instances. For example, (&%PerFn (&%MeasureFn 2 (&%MicroFn &%Gram)) (&%MeasureFn 1 (&%KiloFn &%Gram))) denotes the &%FunctionQuantity of | ||
| 4854 | 2 micrograms per kiogram. This function is useful, because it allows the knowledge | 4875 | 2 micrograms per kiogram. This function is useful, because it allows the knowledge | ||
| 4855 | engineer to dynamically generate instances of &%FunctionQuantity.") | 4876 | engineer to dynamically generate instances of &%FunctionQuantity.") | ||
| 4856 | 4877 | ||||
| 4857 | (subrelation DensityFn PerFn) | 4878 | (subrelation DensityFn PerFn) | ||
| 4858 | (instance DensityFn TotalValuedRelation) | 4879 | (instance DensityFn TotalValuedRelation) | ||
| 4859 | (domain DensityFn 1 MassMeasure) | 4880 | (domain DensityFn 1 MassMeasure) | ||
| 4860 | (domain DensityFn 2 VolumeMeasure) | 4881 | (domain DensityFn 2 VolumeMeasure) | ||
| 4861 | (range DensityFn FunctionQuantity) | 4882 | (range DensityFn FunctionQuantity) | ||
| 4862 | (documentation DensityFn "&%DensityFn maps an instance of &%MassMeasure | 4883 | (documentation DensityFn "&%DensityFn maps an instance of &%MassMeasure | ||
| 4863 | and an instance of &%VolumeMeasure to the density represented by this | 4884 | and an instance of &%VolumeMeasure to the density represented by this | ||
| 4864 | proportion of mass and volume. For example, (&%DensityFn (&%MeasureFn 3 &%Gram) | 4885 | proportion of mass and volume. For example, (&%DensityFn (&%MeasureFn 3 &%Gram) | ||
| 4865 | (&%MeasureFn 1 &%Liter)) represents the density of 3 grams per liter.") | 4886 | (&%MeasureFn 1 &%Liter)) represents the density of 3 grams per liter.") | ||
| 4866 | 4887 | ||||
| 4867 | (subrelation SpeedFn PerFn) | 4888 | (subrelation SpeedFn PerFn) | ||
| 4868 | (instance SpeedFn TotalValuedRelation) | 4889 | (instance SpeedFn TotalValuedRelation) | ||
| 4869 | (domain SpeedFn 1 LengthMeasure) | 4890 | (domain SpeedFn 1 LengthMeasure) | ||
| 4870 | (domain SpeedFn 2 TimeDuration) | 4891 | (domain SpeedFn 2 TimeDuration) | ||
| 4871 | (range SpeedFn FunctionQuantity) | 4892 | (range SpeedFn FunctionQuantity) | ||
| 4872 | (documentation SpeedFn "Maps an instance of &%LengthMeasure and an instance of | 4893 | (documentation SpeedFn "Maps an instance of &%LengthMeasure and an instance of | ||
| 4873 | &%TimeDuration to the speed represented by this proportion of distance and time. | 4894 | &%TimeDuration to the speed represented by this proportion of distance and time. | ||
| 4874 | For example, (&%SpeedFn (&%MeasureFn 55 &%Mile)(&%MeasureFn 1 &%HourDuration)) | 4895 | For example, (&%SpeedFn (&%MeasureFn 55 &%Mile)(&%MeasureFn 1 &%HourDuration)) | ||
| 4875 | represents the velocity of 55 miles per hour.") | 4896 | represents the velocity of 55 miles per hour.") | ||
| 4876 | 4897 | ||||
| 4877 | (instance VelocityFn QuaternaryFunction) | 4898 | (instance VelocityFn QuaternaryFunction) | ||
| 4878 | (instance VelocityFn TotalValuedRelation) | 4899 | (instance VelocityFn TotalValuedRelation) | ||
| 4879 | (domain VelocityFn 1 LengthMeasure) | 4900 | (domain VelocityFn 1 LengthMeasure) | ||
| 4880 | (domain VelocityFn 2 TimeDuration) | 4901 | (domain VelocityFn 2 TimeDuration) | ||
| 4881 | (domain VelocityFn 3 Region) | 4902 | (domain VelocityFn 3 Region) | ||
| 4882 | (domain VelocityFn 4 DirectionalAttribute) | 4903 | (domain VelocityFn 4 DirectionalAttribute) | ||
| 4883 | (range VelocityFn FunctionQuantity) | 4904 | (range VelocityFn FunctionQuantity) | ||
| 4884 | (documentation VelocityFn "Specifies the velocity of an object, i.e. the speed | 4905 | (documentation VelocityFn "Specifies the velocity of an object, i.e. the speed | ||
| 4885 | and the direction of the speed. For example (&%VelocityFn (&%MeasureFn 55 &%Mile) | 4906 | and the direction of the speed. For example (&%VelocityFn (&%MeasureFn 55 &%Mile) | ||
| 4886 | (&%MeasureFn 2 &%HourDuration) ?REFERENCE &%North) denotes the velocity of 55 miles | 4907 | (&%MeasureFn 2 &%HourDuration) ?REFERENCE &%North) denotes the velocity of 55 miles | ||
| 4887 | per hour North of the given reference point ?REFERENCE.") | 4908 | per hour North of the given reference point ?REFERENCE.") | ||
| 4888 | 4909 | ||||
| 4889 | (=> | 4910 | (=> | ||
| 4890 | (measure ?OBJECT (VelocityFn ?DISTANCE ?TIME ?REF ?DIRECTION)) | 4911 | (measure ?OBJECT (VelocityFn ?DISTANCE ?TIME ?REF ?DIRECTION)) | ||
| 4891 | (measure ?OBJECT (SpeedFn ?DISTANCE ?TIME))) | 4912 | (measure ?OBJECT (SpeedFn ?DISTANCE ?TIME))) | ||
| 4892 | 4913 | ||||
| 4893 | ;; Now the units of measure: | 4914 | ;; Now the units of measure: | ||
| 4894 | 4915 | ||||
| 4895 | ;; First base units for the SI system. No conversion functions are | 4916 | ;; First base units for the SI system. No conversion functions are | ||
| 4896 | ;; provided for these units. | 4917 | ;; provided for these units. | ||
| 4897 | 4918 | ||||
| 4898 | ;; Length Base Unit | 4919 | ;; Length Base Unit | ||
| 4899 | 4920 | ||||
| 4900 | (subclass Meter LengthMeasure) | 4921 | (subclass Meter LengthMeasure) | ||
| 4901 | (instance Meter SystemeInternationalUnit) | 4922 | (instance Meter SystemeInternationalUnit) | ||
| 4902 | (documentation Meter "SI &%LengthMeasure. Symbol: m. It is one of the | 4923 | (documentation Meter "SI &%LengthMeasure. Symbol: m. It is one of the | ||
| 4903 | base units in SI, and it is currently defined as follows: the &%Meter | 4924 | base units in SI, and it is currently defined as follows: the &%Meter | ||
| 4904 | is the length of the path traveled by light in a vacuum during a time | 4925 | is the length of the path traveled by light in a vacuum during a time | ||
| 4905 | interval of 1/299792458 of a &%SecondDuration.") | 4926 | interval of 1/299792458 of a &%SecondDuration.") | ||
| 4906 | 4927 | ||||
| 4907 | ;; Mass Base Unit | 4928 | ;; Mass Base Unit | ||
| 4908 | 4929 | ||||
| 4909 | (subclass Gram MassMeasure) | 4930 | (subclass Gram MassMeasure) | ||
| 4910 | (instance Gram SystemeInternationalUnit) | 4931 | (instance Gram SystemeInternationalUnit) | ||
| 4911 | (documentation Gram "Submultiple of kilogram. Symbol: g. | 4932 | (documentation Gram "Submultiple of kilogram. Symbol: g. | ||
| 4912 | 1 kilogram = 1000 &%Grams.") | 4933 | 1 kilogram = 1000 &%Grams.") | ||
| 4913 | 4934 | ||||
| 4914 | ;; Time Base Unit | 4935 | ;; Time Base Unit | ||
| 4915 | 4936 | ||||
| 4916 | (subclass SecondDuration TimeDuration) | 4937 | (subclass SecondDuration TimeDuration) | ||
| 4917 | (instance SecondDuration SystemeInternationalUnit) | 4938 | (instance SecondDuration SystemeInternationalUnit) | ||
| 4918 | (documentation SecondDuration "SI &%TimeDuration. Symbol: s. | 4939 | (documentation SecondDuration "SI &%TimeDuration. Symbol: s. | ||
| 4919 | It is one of the base units in SI, and it is currently defined as | 4940 | It is one of the base units in SI, and it is currently defined as | ||
| 4920 | follows: the &%SecondDuration is the duration of 9192631770 periods of | 4941 | follows: the &%SecondDuration is the duration of 9192631770 periods of | ||
| 4921 | the radiation corresponding to the transition between the two hyperfine | 4942 | the radiation corresponding to the transition between the two hyperfine | ||
| 4922 | levels of the ground state of the cesium 133 atom.") | 4943 | levels of the ground state of the cesium 133 atom.") | ||
| 4923 | 4944 | ||||
| 4924 | ;; Electric Current Base Unit | 4945 | ;; Electric Current Base Unit | ||
| 4925 | 4946 | ||||
| 4926 | (subclass Ampere FunctionQuantity) | 4947 | (subclass Ampere FunctionQuantity) | ||
| 4927 | (instance Ampere SystemeInternationalUnit) | 4948 | (instance Ampere SystemeInternationalUnit) | ||
| 4928 | (documentation Ampere "SI electric current measure. Symbol: A. It is | 4949 | (documentation Ampere "SI electric current measure. Symbol: A. It is | ||
| 4929 | one of the base units in SI. It is defined as follows: the &%Ampere is | 4950 | one of the base units in SI. It is defined as follows: the &%Ampere is | ||
| 4930 | that constant current which, if maintained in two straight parallel | 4951 | that constant current which, if maintained in two straight parallel | ||
| 4931 | conductors of infinite length, of negligible circular cross-section, and | 4952 | conductors of infinite length, of negligible circular cross-section, and | ||
| 4932 | placed 1 &%Meter apart in a vacuum, would produce between these conductors | 4953 | placed 1 &%Meter apart in a vacuum, would produce between these conductors | ||
| 4933 | a force equal to 2*10^(-7) &%Newton per &%Meter of length.") | 4954 | a force equal to 2*10^(-7) &%Newton per &%Meter of length.") | ||
| 4934 | 4955 | ||||
| 4935 | ;; Thermodynamic Temperature Base Unit | 4956 | ;; Thermodynamic Temperature Base Unit | ||
| 4936 | 4957 | ||||
| 4937 | (subclass KelvinDegree TemperatureMeasure) | 4958 | (subclass KelvinDegree TemperatureMeasure) | ||
| 4938 | (instance KelvinDegree SystemeInternationalUnit) | 4959 | (instance KelvinDegree SystemeInternationalUnit) | ||
| 4939 | (documentation KelvinDegree "SI &%TemperatureMeasure. Symbol: K. | 4960 | (documentation KelvinDegree "SI &%TemperatureMeasure. Symbol: K. | ||
| 4940 | It is one of the base units in SI (it is also a unit in the ITS system). | 4961 | It is one of the base units in SI (it is also a unit in the ITS system). | ||
| 4941 | Kelvin differs from the Celsius scale in that the triple point of water | 4962 | Kelvin differs from the Celsius scale in that the triple point of water | ||
| 4942 | is defined to be 273.16 &%KelvinDegrees while it is 0 &%CelsiusDegrees. | 4963 | is defined to be 273.16 &%KelvinDegrees while it is 0 &%CelsiusDegrees. | ||
| 4943 | The magnitudes of intervals in the two scales are the same. By definition | 4964 | The magnitudes of intervals in the two scales are the same. By definition | ||
| 4944 | the conversion constant is 273.15.") | 4965 | the conversion constant is 273.15.") | ||
| 4945 | 4966 | ||||
| 4946 | ;; Amount Of Substance Base Unit | 4967 | ;; Amount Of Substance Base Unit | ||
| 4947 | 4968 | ||||
| 4948 | (subclass Mole MassMeasure) | 4969 | (subclass Mole MassMeasure) | ||
| 4949 | (instance Mole SystemeInternationalUnit) | 4970 | (instance Mole SystemeInternationalUnit) | ||
| 4950 | (documentation Mole "SI amount of substance unit. symbol: mol. It is one | 4971 | (documentation Mole "SI amount of substance unit. symbol: mol. It is one | ||
| 4951 | of the base units in SI. It is defined as follows: the &%Mole is the | 4972 | of the base units in SI. It is defined as follows: the &%Mole is the | ||
| 4952 | amount of substance of a system which contains as many elementary entities | 4973 | amount of substance of a system which contains as many elementary entities | ||
| 4953 | as there are atoms in 0.012 &%Kilograms of carbon 12. Note that, when this | 4974 | as there are atoms in 0.012 &%Kilograms of carbon 12. Note that, when this | ||
| 4954 | &%UnitOfMeasure is used, the elementary entities must be specified - they | 4975 | &%UnitOfMeasure is used, the elementary entities must be specified - they | ||
| 4955 | may be atoms, molecules, ions, electrons, etc. or groups of such | 4976 | may be atoms, molecules, ions, electrons, etc. or groups of such | ||
| 4956 | particles.") | 4977 | particles.") | ||
| 4957 | 4978 | ||||
| 4958 | ;; Luminosity Intensity Base Unit | 4979 | ;; Luminosity Intensity Base Unit | ||
| 4959 | 4980 | ||||
| 4960 | (subclass Candela FunctionQuantity) | 4981 | (subclass Candela FunctionQuantity) | ||
| 4961 | (instance Candela SystemeInternationalUnit) | 4982 | (instance Candela SystemeInternationalUnit) | ||
| 4962 | (documentation Candela "SI luminosity intensity measure. Symbol: cd. | 4983 | (documentation Candela "SI luminosity intensity measure. Symbol: cd. | ||
| 4963 | It is one of the base units in SI, and it is currently defined as | 4984 | It is one of the base units in SI, and it is currently defined as | ||
| 4964 | follows: the &%Candela is the luminous intensity, in a given direction, | 4985 | follows: the &%Candela is the luminous intensity, in a given direction, | ||
| 4965 | of a source that emits monochromatic radiation of frequency 540*10^12 | 4986 | of a source that emits monochromatic radiation of frequency 540*10^12 | ||
| 4966 | &%Hertz and that has a radiant intensity in that direction of 1/683 | 4987 | &%Hertz and that has a radiant intensity in that direction of 1/683 | ||
| 4967 | &%Watt per &%Steradian.") | 4988 | &%Watt per &%Steradian.") | ||
| 4968 | 4989 | ||||
| 4969 | (subclass Liter VolumeMeasure) | 4990 | (subclass Liter VolumeMeasure) | ||
| 4970 | (instance Liter UnitOfMeasure) | 4991 | (instance Liter UnitOfMeasure) | ||
| 4971 | (documentation Liter "Unit of volume in the metric system. It is currently | 4992 | (documentation Liter "Unit of volume in the metric system. It is currently | ||
| 4972 | defined to be equal to one cubic decimeter (0.001 cubic meter). Symbol: l.") | 4993 | defined to be equal to one cubic decimeter (0.001 cubic meter). Symbol: l.") | ||
| 4973 | 4994 | ||||
| 4974 | (subclass Centimeter LengthMeasure) | 4995 | (subclass Centimeter LengthMeasure) | ||
| 4975 | (instance Centimeter UnitOfMeasure) | 4996 | (instance Centimeter UnitOfMeasure) | ||
| 4976 | (documentation Centimeter "Submultiple of &%Meter. Symbol: cm. It is | 4997 | (documentation Centimeter "Submultiple of &%Meter. Symbol: cm. It is | ||
| 4977 | the 100th part of a &%Meter") | 4998 | the 100th part of a &%Meter") | ||
| 4978 | 4999 | ||||
| 4979 | (=> | 5000 | (=> | ||
| 4980 | (instance ?NUMBER RealNumber) | 5001 | (instance ?NUMBER RealNumber) | ||
| 4981 | (equal | 5002 | (equal | ||
| 4982 | (MeasureFn ?NUMBER Centimeter) | 5003 | (MeasureFn ?NUMBER Centimeter) | ||
| 4983 | (MeasureFn (MultiplicationFn ?NUMBER 0.01) Meter))) | 5004 | (MeasureFn (MultiplicationFn ?NUMBER 0.01) Meter))) | ||
| 4984 | 5005 | ||||
| 4985 | ;; What follows are derived SI units with special names and symbols | 5006 | ;; What follows are derived SI units with special names and symbols | ||
| 4986 | ;; (multiples and submultiples are together since they represent | 5007 | ;; (multiples and submultiples are together since they represent | ||
| 4987 | ;; quantities of the same kind). | 5008 | ;; quantities of the same kind). | ||
| 4988 | 5009 | ||||
| 4989 | ;; Plane angle unit | 5010 | ;; Plane angle unit | ||
| 4990 | 5011 | ||||
| 4991 | (subclass Radian PlaneAngleMeasure) | 5012 | (subclass Radian PlaneAngleMeasure) | ||
| 4992 | (instance Radian SystemeInternationalUnit) | 5013 | (instance Radian SystemeInternationalUnit) | ||
| 4993 | (documentation Radian "SI plane angle measure. Symbol: rad. It is the | 5014 | (documentation Radian "SI plane angle measure. Symbol: rad. It is the | ||
| 4994 | angle of a circle subtended by an arc equal in length to the circle's | 5015 | angle of a circle subtended by an arc equal in length to the circle's | ||
| 4995 | radius. Another definition is: the plane angle between two radii of a | 5016 | radius. Another definition is: the plane angle between two radii of a | ||
| 4996 | circle which cut off on the circumference an arc equal in length to the | 5017 | circle which cut off on the circumference an arc equal in length to the | ||
| 4997 | radius. &%Radian = m/m = 1.") | 5018 | radius. &%Radian = m/m = 1.") | ||
| 4998 | 5019 | ||||
| 4999 | ;; Solid angle unit | 5020 | ;; Solid angle unit | ||
| 5000 | 5021 | ||||
| 5001 | (subclass Steradian SolidAngleMeasure) | 5022 | (subclass Steradian SolidAngleMeasure) | ||
| 5002 | (instance Steradian SystemeInternationalUnit) | 5023 | (instance Steradian SystemeInternationalUnit) | ||
| 5003 | (documentation Steradian "SI solid angle measure. Symbol: sr. It is | 5024 | (documentation Steradian "SI solid angle measure. Symbol: sr. It is | ||
| 5004 | the solid angle of a sphere subtended by a portion of the surface whose | 5025 | the solid angle of a sphere subtended by a portion of the surface whose | ||
| 5005 | area is equal to the square of the sphere's radius. Another definition | 5026 | area is equal to the square of the sphere's radius. Another definition | ||
| 5006 | is: the solid angle which, having its vertex in the center of the sphere, | 5027 | is: the solid angle which, having its vertex in the center of the sphere, | ||
| 5007 | cuts off an area of the surface of the sphere equal to that of a square | 5028 | cuts off an area of the surface of the sphere equal to that of a square | ||
| 5008 | with sides of length equal to the radius of the sphere. &%Steradian = | 5029 | with sides of length equal to the radius of the sphere. &%Steradian = | ||
| 5009 | m^2/m^2 = 1.") | 5030 | m^2/m^2 = 1.") | ||
| 5010 | 5031 | ||||
| 5011 | ;; Frequency units | 5032 | ;; Frequency units | ||
| 5012 | 5033 | ||||
| 5013 | (subclass Hertz TimeDependentQuantity) | 5034 | (subclass Hertz TimeDependentQuantity) | ||
| 5014 | (instance Hertz SystemeInternationalUnit) | 5035 | (instance Hertz SystemeInternationalUnit) | ||
| 5015 | (documentation Hertz "SI frequency measure. Symbol: Hz. It is the | 5036 | (documentation Hertz "SI frequency measure. Symbol: Hz. It is the | ||
| 5016 | number of cycles per second. &%Hertz = s^(-1). Note that &%Hertz | 5037 | number of cycles per second. &%Hertz = s^(-1). Note that &%Hertz | ||
| 5017 | does not have a conversion function.") | 5038 | does not have a conversion function.") | ||
| 5018 | 5039 | ||||
| 5019 | ; Force Unit | 5040 | ; Force Unit | ||
| 5020 | 5041 | ||||
| 5021 | (subclass Newton FunctionQuantity) | 5042 | (subclass Newton FunctionQuantity) | ||
| 5022 | (instance Newton SystemeInternationalUnit) | 5043 | (instance Newton SystemeInternationalUnit) | ||
| 5023 | (documentation Newton "SI force measure. Symbol: N. It is that force | 5044 | (documentation Newton "SI force measure. Symbol: N. It is that force | ||
| 5024 | which gives to a mass of 1 kilogram an acceleration of 1 &%Meter per | 5045 | which gives to a mass of 1 kilogram an acceleration of 1 &%Meter per | ||
| 5025 | &%SecondDuration. &%Newton = m*kg*s^(-2).") | 5046 | &%SecondDuration. &%Newton = m*kg*s^(-2).") | ||
| 5026 | 5047 | ||||
| 5027 | ; Pressure unit | 5048 | ; Pressure unit | ||
| 5028 | 5049 | ||||
| 5029 | (subclass Pascal FunctionQuantity) | 5050 | (subclass Pascal FunctionQuantity) | ||
| 5030 | (instance Pascal SystemeInternationalUnit) | 5051 | (instance Pascal SystemeInternationalUnit) | ||
| 5031 | (documentation Pascal "SI pressure measure. Symbol:Pa. It is the | 5052 | (documentation Pascal "SI pressure measure. Symbol:Pa. It is the | ||
| 5032 | pressure of one &%Newton per square &%Meter. &%Pascal = N/m^2 | 5053 | pressure of one &%Newton per square &%Meter. &%Pascal = N/m^2 | ||
| 5033 | = m^(-1)*kg*s^(-2).") | 5054 | = m^(-1)*kg*s^(-2).") | ||
| 5034 | 5055 | ||||
| 5035 | ; Energy Unit | 5056 | ; Energy Unit | ||
| 5036 | 5057 | ||||
| 5037 | (subclass Joule FunctionQuantity) | 5058 | (subclass Joule FunctionQuantity) | ||
| 5038 | (instance Joule SystemeInternationalUnit) | 5059 | (instance Joule SystemeInternationalUnit) | ||
| 5039 | (documentation Joule "SI energy measure. Symbol: J. It is the work | 5060 | (documentation Joule "SI energy measure. Symbol: J. It is the work | ||
| 5040 | done when the point of application of 1 &%Newton is displaced a distance | 5061 | done when the point of application of 1 &%Newton is displaced a distance | ||
| 5041 | of 1 &%Meter in the direction of the force. &%Joule = N*m = | 5062 | of 1 &%Meter in the direction of the force. &%Joule = N*m = | ||
| 5042 | m^2*kg*s^(-2).") | 5063 | m^2*kg*s^(-2).") | ||
| 5043 | 5064 | ||||
| 5044 | ; Power Units | 5065 | ; Power Units | ||
| 5045 | 5066 | ||||
| 5046 | (subclass Watt FunctionQuantity) | 5067 | (subclass Watt FunctionQuantity) | ||
| 5047 | (instance Watt SystemeInternationalUnit) | 5068 | (instance Watt SystemeInternationalUnit) | ||
| 5048 | (documentation Watt "SI power measure. Symbol: W. A &%UnitOfMeasure | 5069 | (documentation Watt "SI power measure. Symbol: W. A &%UnitOfMeasure | ||
| 5049 | that measures power, i.e. energy produced or expended divided by | 5070 | that measures power, i.e. energy produced or expended divided by | ||
| 5050 | &%TimeDuration. It is the power which gives rise to the production | 5071 | &%TimeDuration. It is the power which gives rise to the production | ||
| 5051 | of energy (or work) at the rate of one &%Joule per &%SecondDuration. | 5072 | of energy (or work) at the rate of one &%Joule per &%SecondDuration. | ||
| 5052 | &%Watt = J/s = m^2*kg*s^(-3).") | 5073 | &%Watt = J/s = m^2*kg*s^(-3).") | ||
| 5053 | 5074 | ||||
| 5054 | ;;; Note: According to SI one should not use the expression "per unit of." | 5075 | ;;; Note: According to SI one should not use the expression "per unit of." | ||
| 5055 | 5076 | ||||
| 5056 | ; Electric Charge Units | 5077 | ; Electric Charge Units | ||
| 5057 | 5078 | ||||
| 5058 | (subclass Coulomb TimeDependentQuantity) | 5079 | (subclass Coulomb TimeDependentQuantity) | ||
| 5059 | (instance Coulomb SystemeInternationalUnit) | 5080 | (instance Coulomb SystemeInternationalUnit) | ||
| 5060 | (documentation Coulomb "SI electric charge measure. Symbol: C. It is | 5081 | (documentation Coulomb "SI electric charge measure. Symbol: C. It is | ||
| 5061 | the quantity of electric charge transported through a cross section of | 5082 | the quantity of electric charge transported through a cross section of | ||
| 5062 | a conductor in an electric circuit during each &%SecondDuration by a | 5083 | a conductor in an electric circuit during each &%SecondDuration by a | ||
| 5063 | current of 1 &%Ampere. Coulomb = s*A.") | 5084 | current of 1 &%Ampere. Coulomb = s*A.") | ||
| 5064 | 5085 | ||||
| 5065 | ; Electric Potential Units | 5086 | ; Electric Potential Units | ||
| 5066 | 5087 | ||||
| 5067 | (subclass Volt FunctionQuantity) | 5088 | (subclass Volt FunctionQuantity) | ||
| 5068 | (instance Volt SystemeInternationalUnit) | 5089 | (instance Volt SystemeInternationalUnit) | ||
| 5069 | (documentation Volt "SI electric potential measure. Symbol: V. It is | 5090 | (documentation Volt "SI electric potential measure. Symbol: V. It is | ||
| 5070 | the difference of electric potential between two points of a conducting | 5091 | the difference of electric potential between two points of a conducting | ||
| 5071 | wire carrying a constant current of 1 &%Ampere, when the power dissipated | 5092 | wire carrying a constant current of 1 &%Ampere, when the power dissipated | ||
| 5072 | between these points is equal to 1 &%Watt. &%Volt = W/A = | 5093 | between these points is equal to 1 &%Watt. &%Volt = W/A = | ||
| 5073 | m^2*kg*s^(-3)*A^(-1).") | 5094 | m^2*kg*s^(-3)*A^(-1).") | ||
| 5074 | 5095 | ||||
| 5075 | ; Capacitance Units | 5096 | ; Capacitance Units | ||
| 5076 | 5097 | ||||
| 5077 | (subclass Farad FunctionQuantity) | 5098 | (subclass Farad FunctionQuantity) | ||
| 5078 | (instance Farad SystemeInternationalUnit) | 5099 | (instance Farad SystemeInternationalUnit) | ||
| 5079 | (documentation Farad "SI capacitance measure. Symbol: F. It is the | 5100 | (documentation Farad "SI capacitance measure. Symbol: F. It is the | ||
| 5080 | capacitance of a capacitator between the plates of which there appears | 5101 | capacitance of a capacitator between the plates of which there appears | ||
| 5081 | a difference of potential of 1 &%Volt when it is charged by a quantity | 5102 | a difference of potential of 1 &%Volt when it is charged by a quantity | ||
| 5082 | of electricity equal to 1 Coulomb. &%Farad = C/V = | 5103 | of electricity equal to 1 Coulomb. &%Farad = C/V = | ||
| 5083 | m^(-2)*kg(-1)*s^4*A^2.") | 5104 | m^(-2)*kg(-1)*s^4*A^2.") | ||
| 5084 | 5105 | ||||
| 5085 | ;Electric Resistance Units | 5106 | ;Electric Resistance Units | ||
| 5086 | 5107 | ||||
| 5087 | (subclass Ohm FunctionQuantity) | 5108 | (subclass Ohm FunctionQuantity) | ||
| 5088 | (instance Ohm SystemeInternationalUnit) | 5109 | (instance Ohm SystemeInternationalUnit) | ||
| 5089 | (documentation Ohm "SI electric resistance measure. It is the electric | 5110 | (documentation Ohm "SI electric resistance measure. It is the electric | ||
| 5090 | resistance between two points of a conductor when a constant difference | 5111 | resistance between two points of a conductor when a constant difference | ||
| 5091 | of potential of 1 &%Volt, applied between these two points, | 5112 | of potential of 1 &%Volt, applied between these two points, | ||
| 5092 | produces in this conductor a current of 1 &%Ampere, this conductor not | 5113 | produces in this conductor a current of 1 &%Ampere, this conductor not | ||
| 5093 | being the force of any electromotive force. &%Ohm = V/A = | 5114 | being the force of any electromotive force. &%Ohm = V/A = | ||
| 5094 | m^2*kg*s^(-3)*A^(-2).") | 5115 | m^2*kg*s^(-3)*A^(-2).") | ||
| 5095 | 5116 | ||||
| 5096 | ; Electric Conductance Units | 5117 | ; Electric Conductance Units | ||
| 5097 | 5118 | ||||
| 5098 | (subclass Siemens FunctionQuantity) | 5119 | (subclass Siemens FunctionQuantity) | ||
| 5099 | (instance Siemens SystemeInternationalUnit) | 5120 | (instance Siemens SystemeInternationalUnit) | ||
| 5100 | (documentation Siemens "SI electric conductance measure. Symbol: S. | 5121 | (documentation Siemens "SI electric conductance measure. Symbol: S. | ||
| 5101 | In the case of direct current, the conductance in &%Siemens is the | 5122 | In the case of direct current, the conductance in &%Siemens is the | ||
| 5102 | reciprocal of the resistance in &%Ohms; in the case of alternating current, | 5123 | reciprocal of the resistance in &%Ohms; in the case of alternating current, | ||
| 5103 | it is the reciprocal of the impedance in ohms. siemens = A/V = | 5124 | it is the reciprocal of the impedance in ohms. siemens = A/V = | ||
| 5104 | m^(-2)*kg(-1)*s^(3)*A^2.") | 5125 | m^(-2)*kg(-1)*s^(3)*A^2.") | ||
| 5105 | 5126 | ||||
| 5106 | ; Magnetic Flux Units | 5127 | ; Magnetic Flux Units | ||
| 5107 | 5128 | ||||
| 5108 | (subclass Weber FunctionQuantity) | 5129 | (subclass Weber FunctionQuantity) | ||
| 5109 | (instance Weber SystemeInternationalUnit) | 5130 | (instance Weber SystemeInternationalUnit) | ||
| 5110 | (documentation Weber "SI magnetic flux measure. Symbol: Wb. It is the | 5131 | (documentation Weber "SI magnetic flux measure. Symbol: Wb. It is the | ||
| 5111 | magnetic flux which, linking a circuit of one turn, produces in it an | 5132 | magnetic flux which, linking a circuit of one turn, produces in it an | ||
| 5112 | electromotive force of 1 &%Volt as it is reduced to zero at a uniform | 5133 | electromotive force of 1 &%Volt as it is reduced to zero at a uniform | ||
| 5113 | rate in 1 &%SecondDuration. &%Weber = V*s = m^2*kg*s^(-2)*A^(-1)." ) | 5134 | rate in 1 &%SecondDuration. &%Weber = V*s = m^2*kg*s^(-2)*A^(-1)." ) | ||
| 5114 | 5135 | ||||
| 5115 | ; Magnetic Flux Density Units | 5136 | ; Magnetic Flux Density Units | ||
| 5116 | 5137 | ||||
| 5117 | (subclass Tesla FunctionQuantity) | 5138 | (subclass Tesla FunctionQuantity) | ||
| 5118 | (instance Tesla SystemeInternationalUnit) | 5139 | (instance Tesla SystemeInternationalUnit) | ||
| 5119 | (documentation Tesla "SI magnetic flux density measure. Symbol: T. | 5140 | (documentation Tesla "SI magnetic flux density measure. Symbol: T. | ||
| 5120 | One &%Tesla equals one &%Weber per square &%Meter. &%Tesla = Wb/m^2 = | 5141 | One &%Tesla equals one &%Weber per square &%Meter. &%Tesla = Wb/m^2 = | ||
| 5121 | kg*s^(-2)*A^(-1).") | 5142 | kg*s^(-2)*A^(-1).") | ||
| 5122 | 5143 | ||||
| 5123 | ; Inductance Units | 5144 | ; Inductance Units | ||
| 5124 | 5145 | ||||
| 5125 | (subclass Henry FunctionQuantity) | 5146 | (subclass Henry FunctionQuantity) | ||
| 5126 | (instance Henry SystemeInternationalUnit) | 5147 | (instance Henry SystemeInternationalUnit) | ||
| 5127 | (documentation Henry "SI inductance measure. Symbol: H. One &%Henry | 5148 | (documentation Henry "SI inductance measure. Symbol: H. One &%Henry | ||
| 5128 | is equivalent to one &%Volt divided by one &%Ampere per &%SecondDuration. | 5149 | is equivalent to one &%Volt divided by one &%Ampere per &%SecondDuration. | ||
| 5129 | If a current changing at the rate of one &%Ampere per &%SecondDuration | 5150 | If a current changing at the rate of one &%Ampere per &%SecondDuration | ||
| 5130 | induces an electromotive force of one &%Volt, the circuit has an | 5151 | induces an electromotive force of one &%Volt, the circuit has an | ||
| 5131 | inductance of one &%Henry. &%Henry = Wb/A = m^2*kg*s^(-2)*A^(-2).") | 5152 | inductance of one &%Henry. &%Henry = Wb/A = m^2*kg*s^(-2)*A^(-2).") | ||
| 5132 | 5153 | ||||
| 5133 | ; Celsius Temperature unit | 5154 | ; Celsius Temperature unit | ||
| 5134 | 5155 | ||||
| 5135 | (subclass CelsiusDegree TemperatureMeasure) | 5156 | (subclass CelsiusDegree TemperatureMeasure) | ||
| 5136 | (instance CelsiusDegree SystemeInternationalUnit) | 5157 | (instance CelsiusDegree SystemeInternationalUnit) | ||
| 5137 | (documentation CelsiusDegree "A &%TemperatureMeasure. The freezing point | 5158 | (documentation CelsiusDegree "A &%TemperatureMeasure. The freezing point | ||
| 5138 | and the boiling point of water are, respectively, 0 &%CelsiusDegrees and 100 | 5159 | and the boiling point of water are, respectively, 0 &%CelsiusDegrees and 100 | ||
| 5139 | &%CelsiusDegrees.") | 5160 | &%CelsiusDegrees.") | ||
| 5140 | 5161 | ||||
| 5141 | (=> | 5162 | (=> | ||
| 5142 | (instance ?NUMBER RealNumber) | 5163 | (instance ?NUMBER RealNumber) | ||
| 5143 | (equal | 5164 | (equal | ||
| 5144 | (MeasureFn ?NUMBER CelsiusDegree) | 5165 | (MeasureFn ?NUMBER CelsiusDegree) | ||
| 5145 | (MeasureFn (SubtractionFn ?NUMBER 273.15) KelvinDegree))) | 5166 | (MeasureFn (SubtractionFn ?NUMBER 273.15) KelvinDegree))) | ||
| 5146 | 5167 | ||||
| 5147 | (=> | 5168 | (=> | ||
| 5148 | (instance ?NUMBER RealNumber) | 5169 | (instance ?NUMBER RealNumber) | ||
| 5149 | (equal | 5170 | (equal | ||
| 5150 | (MeasureFn ?NUMBER CelsiusDegree) | 5171 | (MeasureFn ?NUMBER CelsiusDegree) | ||
| 5151 | (MeasureFn (DivisionFn (SubtractionFn ?NUMBER 32) 1.8) FahrenheitDegree))) | 5172 | (MeasureFn (DivisionFn (SubtractionFn ?NUMBER 32) 1.8) FahrenheitDegree))) | ||
| 5152 | 5173 | ||||
| 5153 | ; Luminous Flux Units | 5174 | ; Luminous Flux Units | ||
| 5154 | 5175 | ||||
| 5155 | (subclass Lumen FunctionQuantity) | 5176 | (subclass Lumen FunctionQuantity) | ||
| 5156 | (instance Lumen SystemeInternationalUnit) | 5177 | (instance Lumen SystemeInternationalUnit) | ||
| 5157 | (documentation Lumen "SI luminous flux measure. Symbol: lm. It is the | 5178 | (documentation Lumen "SI luminous flux measure. Symbol: lm. It is the | ||
| 5158 | amount streaming outward through one solid angle of 1 &%Steradian from a | 5179 | amount streaming outward through one solid angle of 1 &%Steradian from a | ||
| 5159 | uniform point source having an intensity of one &%Candela. &%Lumen = | 5180 | uniform point source having an intensity of one &%Candela. &%Lumen = | ||
| 5160 | cd*sr = cd * 1.") | 5181 | cd*sr = cd * 1.") | ||
| 5161 | 5182 | ||||
| 5162 | ; Illuminance Units | 5183 | ; Illuminance Units | ||
| 5163 | 5184 | ||||
| 5164 | (subclass Lux FunctionQuantity) | 5185 | (subclass Lux FunctionQuantity) | ||
| 5165 | (instance Lux SystemeInternationalUnit) | 5186 | (instance Lux SystemeInternationalUnit) | ||
| 5166 | (documentation Lux "SI illuminance measure. Symbol: lx. It is the | 5187 | (documentation Lux "SI illuminance measure. Symbol: lx. It is the | ||
| 5167 | amount of illumination provided when one &%Lumen is evenly distributed | 5188 | amount of illumination provided when one &%Lumen is evenly distributed | ||
| 5168 | over an area of 1 square &%Meter. This is also equivalent to the | 5189 | over an area of 1 square &%Meter. This is also equivalent to the | ||
| 5169 | illumination that would exist on a surface all points of which are one | 5190 | illumination that would exist on a surface all points of which are one | ||
| 5170 | &%Meter from a point source of one &%Candela. &%Lux = lm/m^2 = | 5191 | &%Meter from a point source of one &%Candela. &%Lux = lm/m^2 = | ||
| 5171 | m^(-2)*cd.") | 5192 | m^(-2)*cd.") | ||
| 5172 | 5193 | ||||
| 5173 | ; Activity Units | 5194 | ; Activity Units | ||
| 5174 | 5195 | ||||
| 5175 | (subclass Becquerel TimeDependentQuantity) | 5196 | (subclass Becquerel TimeDependentQuantity) | ||
| 5176 | (instance Becquerel SystemeInternationalUnit) | 5197 | (instance Becquerel SystemeInternationalUnit) | ||
| 5177 | (documentation Becquerel "SI activity measure. Symbol: Bq. It measures | 5198 | (documentation Becquerel "SI activity measure. Symbol: Bq. It measures | ||
| 5178 | the amount of radioactivity contained in a given sample of matter. It is | 5199 | the amount of radioactivity contained in a given sample of matter. It is | ||
| 5179 | that quantity of a radioactive element in which there is one atomic | 5200 | that quantity of a radioactive element in which there is one atomic | ||
| 5180 | disintegration per &%SecondDuration. &%Becquerel = s^(-1).") | 5201 | disintegration per &%SecondDuration. &%Becquerel = s^(-1).") | ||
| 5181 | 5202 | ||||
| 5182 | ; Absorbed Dose Units | 5203 | ; Absorbed Dose Units | ||
| 5183 | 5204 | ||||
| 5184 | (subclass Gray FunctionQuantity) | 5205 | (subclass Gray FunctionQuantity) | ||
| 5185 | (instance Gray SystemeInternationalUnit) | 5206 | (instance Gray SystemeInternationalUnit) | ||
| 5186 | (documentation Gray "SI absorbed dose measure. Symbol: Gy. It measures | 5207 | (documentation Gray "SI absorbed dose measure. Symbol: Gy. It measures | ||
| 5187 | the dose of radiation absorbed in living tissue. It is equal approximately | 5208 | the dose of radiation absorbed in living tissue. It is equal approximately | ||
| 5188 | to the absorbed dose delivered when the energy per unit mass imparted to | 5209 | to the absorbed dose delivered when the energy per unit mass imparted to | ||
| 5189 | matter by ionizing radiation is 1 &%Joule per kilogram. &%Gray = J/kg | 5210 | matter by ionizing radiation is 1 &%Joule per kilogram. &%Gray = J/kg | ||
| 5190 | = m^2*s^(-2).") | 5211 | = m^2*s^(-2).") | ||
| 5191 | 5212 | ||||
| 5192 | ; Dose Equivalent Units | 5213 | ; Dose Equivalent Units | ||
| 5193 | 5214 | ||||
| 5194 | (subclass Sievert FunctionQuantity) | 5215 | (subclass Sievert FunctionQuantity) | ||
| 5195 | (instance Sievert SystemeInternationalUnit) | 5216 | (instance Sievert SystemeInternationalUnit) | ||
| 5196 | (documentation Sievert "SI dose equivalent measure. Symbol: Sv. It is | 5217 | (documentation Sievert "SI dose equivalent measure. Symbol: Sv. It is | ||
| 5197 | a unit of biologic dose of ionizing radiation. The &%Sievert makes it | 5218 | a unit of biologic dose of ionizing radiation. The &%Sievert makes it | ||
| 5198 | possible to normalize doses of different types of radiation. It takes | 5219 | possible to normalize doses of different types of radiation. It takes | ||
| 5199 | into account the relative biologic effectiveness of ionizing radiation, | 5220 | into account the relative biologic effectiveness of ionizing radiation, | ||
| 5200 | since each form of such radiation--e.g., X rays, gamma rays, neutrons-- | 5221 | since each form of such radiation--e.g., X rays, gamma rays, neutrons-- | ||
| 5201 | has a slightly different effect on living tissue for a given absorbed | 5222 | has a slightly different effect on living tissue for a given absorbed | ||
| 5202 | dose. The dose equivalent of a given type of radiation (in &%Sievert) is | 5223 | dose. The dose equivalent of a given type of radiation (in &%Sievert) is | ||
| 5203 | the dose of the radiation in &%Gray multiplied by a quality factor that | 5224 | the dose of the radiation in &%Gray multiplied by a quality factor that | ||
| 5204 | is based on the relative biologic effectiveness of the radiation. | 5225 | is based on the relative biologic effectiveness of the radiation. | ||
| 5205 | Accordingly, one &%Sievert is generally defined as the amount of radiation | 5226 | Accordingly, one &%Sievert is generally defined as the amount of radiation | ||
| 5206 | roughly equivalent in biologic effectiveness to one &%Gray of gamma | 5227 | roughly equivalent in biologic effectiveness to one &%Gray of gamma | ||
| 5207 | radiation. &%Sievert = J/kg = m^2*s^(-2)") | 5228 | radiation. &%Sievert = J/kg = m^2*s^(-2)") | ||
| 5208 | 5229 | ||||
| 5209 | ; Units that are accepted for -use- with SI | 5230 | ; Units that are accepted for -use- with SI | ||
| 5210 | 5231 | ||||
| 5211 | (subclass DayDuration TimeDuration) | 5232 | (subclass DayDuration TimeDuration) | ||
| 5212 | (instance DayDuration UnitOfMeasure) | 5233 | (instance DayDuration UnitOfMeasure) | ||
| 5213 | (documentation DayDuration "Time unit. 1 day = 24 hours.") | 5234 | (documentation DayDuration "Time unit. 1 day = 24 hours.") | ||
| 5214 | 5235 | ||||
| 5215 | (=> | 5236 | (=> | ||
| 5216 | (instance ?NUMBER RealNumber) | 5237 | (instance ?NUMBER RealNumber) | ||
| 5217 | (equal | 5238 | (equal | ||
| 5218 | (MeasureFn ?NUMBER DayDuration) | 5239 | (MeasureFn ?NUMBER DayDuration) | ||
| 5219 | (MeasureFn (MultiplicationFn ?NUMBER 24) HourDuration))) | 5240 | (MeasureFn (MultiplicationFn ?NUMBER 24) HourDuration))) | ||
| 5220 | 5241 | ||||
| 5221 | (subclass HourDuration TimeDuration) | 5242 | (subclass HourDuration TimeDuration) | ||
| 5222 | (instance HourDuration UnitOfMeasure) | 5243 | (instance HourDuration UnitOfMeasure) | ||
| 5223 | (documentation HourDuration "Time unit. 1 hour = 60 minutes.") | 5244 | (documentation HourDuration "Time unit. 1 hour = 60 minutes.") | ||
| 5224 | 5245 | ||||
| 5225 | (=> | 5246 | (=> | ||
| 5226 | (instance ?NUMBER RealNumber) | 5247 | (instance ?NUMBER RealNumber) | ||
| 5227 | (equal | 5248 | (equal | ||
| 5228 | (MeasureFn ?NUMBER HourDuration) | 5249 | (MeasureFn ?NUMBER HourDuration) | ||
| 5229 | (MeasureFn (MultiplicationFn ?NUMBER 60) MinuteDuration))) | 5250 | (MeasureFn (MultiplicationFn ?NUMBER 60) MinuteDuration))) | ||
| 5230 | 5251 | ||||
| 5231 | (subclass MinuteDuration TimeDuration) | 5252 | (subclass MinuteDuration TimeDuration) | ||
| 5232 | (instance MinuteDuration UnitOfMeasure) | 5253 | (instance MinuteDuration UnitOfMeasure) | ||
| 5233 | (documentation MinuteDuration "Time unit. 1 minute = 60 seconds. ") | 5254 | (documentation MinuteDuration "Time unit. 1 minute = 60 seconds. ") | ||
| 5234 | 5255 | ||||
| 5235 | (=> | 5256 | (=> | ||
| 5236 | (instance ?NUMBER RealNumber) | 5257 | (instance ?NUMBER RealNumber) | ||
| 5237 | (equal | 5258 | (equal | ||
| 5238 | (MeasureFn ?NUMBER MinuteDuration) | 5259 | (MeasureFn ?NUMBER MinuteDuration) | ||
| 5239 | (MeasureFn (MultiplicationFn ?NUMBER 60) SecondDuration))) | 5260 | (MeasureFn (MultiplicationFn ?NUMBER 60) SecondDuration))) | ||
| 5240 | 5261 | ||||
| 5241 | (subclass WeekDuration TimeDuration) | 5262 | (subclass WeekDuration TimeDuration) | ||
| 5242 | (instance WeekDuration UnitOfMeasure) | 5263 | (instance WeekDuration UnitOfMeasure) | ||
| 5243 | (documentation WeekDuration "Time unit. A week's duration is seven days.") | 5264 | (documentation WeekDuration "Time unit. A week's duration is seven days.") | ||
| 5244 | 5265 | ||||
| 5245 | (=> | 5266 | (=> | ||
| 5246 | (instance ?NUMBER RealNumber) | 5267 | (instance ?NUMBER RealNumber) | ||
| 5247 | (equal | 5268 | (equal | ||
| 5248 | (MeasureFn ?NUMBER WeekDuration) | 5269 | (MeasureFn ?NUMBER WeekDuration) | ||
| 5249 | (MeasureFn (MultiplicationFn ?NUMBER 7) DayDuration))) | 5270 | (MeasureFn (MultiplicationFn ?NUMBER 7) DayDuration))) | ||
| 5250 | 5271 | ||||
| 5251 | (subclass YearDuration TimeDuration) | 5272 | (subclass YearDuration TimeDuration) | ||
| 5252 | (instance YearDuration UnitOfMeasure) | 5273 | (instance YearDuration UnitOfMeasure) | ||
| 5253 | (documentation YearDuration "Time unit. one calendar year. 1 year = | 5274 | (documentation YearDuration "Time unit. one calendar year. 1 year = | ||
| 5254 | 365 days = 31536000 seconds.") | 5275 | 365 days = 31536000 seconds.") | ||
| 5255 | 5276 | ||||
| 5256 | (=> | 5277 | (=> | ||
| 5257 | (instance ?NUMBER RealNumber) | 5278 | (instance ?NUMBER RealNumber) | ||
| 5258 | (equal | 5279 | (equal | ||
| 5259 | (MeasureFn ?NUMBER YearDuration) | 5280 | (MeasureFn ?NUMBER YearDuration) | ||
| 5260 | (MeasureFn (MultiplicationFn ?NUMBER 365) DayDuration))) | 5281 | (MeasureFn (MultiplicationFn ?NUMBER 365) DayDuration))) | ||
| 5261 | 5282 | ||||
| 5262 | ;; What follows are units that are also accepted for use with SI. The | 5283 | ;; What follows are units that are also accepted for use with SI. The | ||
| 5263 | ;; SI equivalents for these units are obtained experimentally. | 5284 | ;; SI equivalents for these units are obtained experimentally. | ||
| 5264 | 5285 | ||||
| 5265 | (subclass Amu MassMeasure) | 5286 | (subclass Amu MassMeasure) | ||
| 5266 | (instance Amu UnitOfMeasure) | 5287 | (instance Amu UnitOfMeasure) | ||
| 5267 | (documentation Amu "Atomic mass unit. Symbol: u. It is the mass of | 5288 | (documentation Amu "Atomic mass unit. Symbol: u. It is the mass of | ||
| 5268 | the twelfth part of an atom of the Carbon 12 isotope.") | 5289 | the twelfth part of an atom of the Carbon 12 isotope.") | ||
| 5269 | 5290 | ||||
| 5270 | (=> | 5291 | (=> | ||
| 5271 | (instance ?NUMBER RealNumber) | 5292 | (instance ?NUMBER RealNumber) | ||
| 5272 | (equal | 5293 | (equal | ||
| 5273 | (MeasureFn ?NUMBER Amu) | 5294 | (MeasureFn ?NUMBER Amu) | ||
| 5274 | (MeasureFn (MultiplicationFn ?NUMBER 1.6605402E-24) Gram))) | 5295 | (MeasureFn (MultiplicationFn ?NUMBER 1.6605402E-24) Gram))) | ||
| 5275 | 5296 | ||||
| 5276 | (subclass ElectronVolt FunctionQuantity) | 5297 | (subclass ElectronVolt FunctionQuantity) | ||
| 5277 | (instance ElectronVolt UnitOfMeasure) | 5298 | (instance ElectronVolt UnitOfMeasure) | ||
| 5278 | (documentation ElectronVolt "The &%ElectronVolt is an energy measure. | 5299 | (documentation ElectronVolt "The &%ElectronVolt is an energy measure. | ||
| 5279 | Symbol: eV. It is the kinetic energy acquired by an electron in passing | 5300 | Symbol: eV. It is the kinetic energy acquired by an electron in passing | ||
| 5280 | through a potential difference of 1 &%Volt in a vacuum.") | 5301 | through a potential difference of 1 &%Volt in a vacuum.") | ||
| 5281 | 5302 | ||||
| 5282 | (=> | 5303 | (=> | ||
| 5283 | (instance ?NUMBER RealNumber) | 5304 | (instance ?NUMBER RealNumber) | ||
| 5284 | (equal | 5305 | (equal | ||
| 5285 | (MeasureFn ?NUMBER ElectronVolt) | 5306 | (MeasureFn ?NUMBER ElectronVolt) | ||
| 5286 | (MeasureFn (MultiplicationFn ?NUMBER 1.60217733E-19) Joule))) | 5307 | (MeasureFn (MultiplicationFn ?NUMBER 1.60217733E-19) Joule))) | ||
| 5287 | 5308 | ||||
| 5288 | ;; The following units have been temporarily accepted for use with | 5309 | ;; The following units have been temporarily accepted for use with | ||
| 5289 | ;; SI units. | 5310 | ;; SI units. | ||
| 5290 | 5311 | ||||
| 5291 | (subclass Angstrom LengthMeasure) | 5312 | (subclass Angstrom LengthMeasure) | ||
| 5292 | (instance Angstrom UnitOfMeasure) | 5313 | (instance Angstrom UnitOfMeasure) | ||
| 5293 | (documentation Angstrom "The &%Angstrom is a &%LengthMeasure. | 5314 | (documentation Angstrom "The &%Angstrom is a &%LengthMeasure. | ||
| 5294 | 1 &%Angstrom = 10^(-10) m") | 5315 | 1 &%Angstrom = 10^(-10) m") | ||
| 5295 | 5316 | ||||
| 5296 | (=> | 5317 | (=> | ||
| 5297 | (instance ?NUMBER RealNumber) | 5318 | (instance ?NUMBER RealNumber) | ||
| 5298 | (equal | 5319 | (equal | ||
| 5299 | (MeasureFn ?NUMBER Angstrom) | 5320 | (MeasureFn ?NUMBER Angstrom) | ||
| 5300 | (MeasureFn (MultiplicationFn ?NUMBER 1.0E-10) Meter))) | 5321 | (MeasureFn (MultiplicationFn ?NUMBER 1.0E-10) Meter))) | ||
| 5301 | 5322 | ||||
| 5302 | ;; The following units are unacceptable in SI but are part of other | 5323 | ;; The following units are unacceptable in SI but are part of other | ||
| 5303 | ;; systems of measurement that are widely used. | 5324 | ;; systems of measurement that are widely used. | ||
| 5304 | 5325 | ||||
| 5305 | ;; More Length units | 5326 | ;; More Length units | ||
| 5306 | 5327 | ||||
| 5307 | (subclass FootLength LengthMeasure) | 5328 | (subclass FootLength LengthMeasure) | ||
| 5308 | (instance FootLength UnitOfMeasure) | 5329 | (instance FootLength UnitOfMeasure) | ||
| 5309 | (documentation FootLength "English length unit of feet.") | 5330 | (documentation FootLength "English length unit of feet.") | ||
| 5310 | 5331 | ||||
| 5311 | (=> | 5332 | (=> | ||
| 5312 | (instance ?NUMBER RealNumber) | 5333 | (instance ?NUMBER RealNumber) | ||
| 5313 | (equal | 5334 | (equal | ||
| 5314 | (MeasureFn ?NUMBER FootLength) | 5335 | (MeasureFn ?NUMBER FootLength) | ||
| 5315 | (MeasureFn (MultiplicationFn ?NUMBER 0.3048) Meter))) | 5336 | (MeasureFn (MultiplicationFn ?NUMBER 0.3048) Meter))) | ||
| 5316 | 5337 | ||||
| 5317 | (subclass Inch LengthMeasure) | 5338 | (subclass Inch LengthMeasure) | ||
| 5318 | (instance Inch UnitOfMeasure) | 5339 | (instance Inch UnitOfMeasure) | ||
| 5319 | (documentation Inch "English length unit of inches.") | 5340 | (documentation Inch "English length unit of inches.") | ||
| 5320 | 5341 | ||||
| 5321 | (=> | 5342 | (=> | ||
| 5322 | (instance ?NUMBER RealNumber) | 5343 | (instance ?NUMBER RealNumber) | ||
| 5323 | (equal | 5344 | (equal | ||
| 5324 | (MeasureFn ?NUMBER Inch) | 5345 | (MeasureFn ?NUMBER Inch) | ||
| 5325 | (MeasureFn (MultiplicationFn ?NUMBER 0.0254) Meter))) | 5346 | (MeasureFn (MultiplicationFn ?NUMBER 0.0254) Meter))) | ||
| 5326 | 5347 | ||||
| 5327 | (subclass Mile LengthMeasure) | 5348 | (subclass Mile LengthMeasure) | ||
| 5328 | (instance Mile UnitOfMeasure) | 5349 | (instance Mile UnitOfMeasure) | ||
| 5329 | (documentation Mile "English length unit of miles.") | 5350 | (documentation Mile "English length unit of miles.") | ||
| 5330 | 5351 | ||||
| 5331 | (=> | 5352 | (=> | ||
| 5332 | (instance ?NUMBER RealNumber) | 5353 | (instance ?NUMBER RealNumber) | ||
| 5333 | (equal | 5354 | (equal | ||
| 5334 | (MeasureFn ?NUMBER Mile) | 5355 | (MeasureFn ?NUMBER Mile) | ||
| 5335 | (MeasureFn (MultiplicationFn ?NUMBER 1609.344) Meter))) | 5356 | (MeasureFn (MultiplicationFn ?NUMBER 1609.344) Meter))) | ||
| 5336 | 5357 | ||||
| 5337 | ;; More Volume units | 5358 | ;; More Volume units | ||
| 5338 | 5359 | ||||
| 5339 | (subclass UnitedStatesGallon VolumeMeasure) | 5360 | (subclass UnitedStatesGallon VolumeMeasure) | ||
| 5340 | (instance UnitedStatesGallon UnitOfMeasure) | 5361 | (instance UnitedStatesGallon UnitOfMeasure) | ||
| 5341 | (relatedInternalConcept UnitedStatesGallon UnitedKingdomGallon) | 5362 | (relatedInternalConcept UnitedStatesGallon UnitedKingdomGallon) | ||
| 5342 | (documentation UnitedStatesGallon "Unit of volume commonly used in the | 5363 | (documentation UnitedStatesGallon "Unit of volume commonly used in the | ||
| 5343 | United States.") | 5364 | United States.") | ||
| 5344 | 5365 | ||||
| 5345 | (=> | 5366 | (=> | ||
| 5346 | (instance ?NUMBER RealNumber) | 5367 | (instance ?NUMBER RealNumber) | ||
| 5347 | (equal | 5368 | (equal | ||
| 5348 | (MeasureFn ?NUMBER UnitedStatesGallon) | 5369 | (MeasureFn ?NUMBER UnitedStatesGallon) | ||
| 5349 | (MeasureFn (MultiplicationFn ?NUMBER 3.785411784) Liter))) | 5370 | (MeasureFn (MultiplicationFn ?NUMBER 3.785411784) Liter))) | ||
| 5350 | 5371 | ||||
| 5351 | (subclass Quart VolumeMeasure) | 5372 | (subclass Quart VolumeMeasure) | ||
| 5352 | (instance Quart UnitOfMeasure) | 5373 | (instance Quart UnitOfMeasure) | ||
| 5353 | (documentation Quart "English unit of volume equal to 1/4 of a | 5374 | (documentation Quart "English unit of volume equal to 1/4 of a | ||
| 5354 | &%UnitedStatesGallon.") | 5375 | &%UnitedStatesGallon.") | ||
| 5355 | 5376 | ||||
| 5356 | (=> | 5377 | (=> | ||
| 5357 | (instance ?NUMBER RealNumber) | 5378 | (instance ?NUMBER RealNumber) | ||
| 5358 | (equal | 5379 | (equal | ||
| 5359 | (MeasureFn ?NUMBER Quart) | 5380 | (MeasureFn ?NUMBER Quart) | ||
| 5360 | (MeasureFn (DivisionFn ?NUMBER 4) UnitedStatesGallon))) | 5381 | (MeasureFn (DivisionFn ?NUMBER 4) UnitedStatesGallon))) | ||
| 5361 | 5382 | ||||
| 5362 | (subclass Pint VolumeMeasure) | 5383 | (subclass Pint VolumeMeasure) | ||
| 5363 | (instance Pint UnitOfMeasure) | 5384 | (instance Pint UnitOfMeasure) | ||
| 5364 | (documentation Pint "English unit of volume equal to 1/2 of a | 5385 | (documentation Pint "English unit of volume equal to 1/2 of a | ||
| 5365 | &%Quart.") | 5386 | &%Quart.") | ||
| 5366 | 5387 | ||||
| 5367 | (=> | 5388 | (=> | ||
| 5368 | (instance ?NUMBER RealNumber) | 5389 | (instance ?NUMBER RealNumber) | ||
| 5369 | (equal | 5390 | (equal | ||
| 5370 | (MeasureFn ?NUMBER Pint) | 5391 | (MeasureFn ?NUMBER Pint) | ||
| 5371 | (MeasureFn (DivisionFn ?NUMBER 2) Quart))) | 5392 | (MeasureFn (DivisionFn ?NUMBER 2) Quart))) | ||
| 5372 | 5393 | ||||
| 5373 | (subclass Cup VolumeMeasure) | 5394 | (subclass Cup VolumeMeasure) | ||
| 5374 | (instance Cup UnitOfMeasure) | 5395 | (instance Cup UnitOfMeasure) | ||
| 5375 | (documentation Cup "English unit of volume equal to 1/2 of a | 5396 | (documentation Cup "English unit of volume equal to 1/2 of a | ||
| 5376 | &%Pint.") | 5397 | &%Pint.") | ||
| 5377 | 5398 | ||||
| 5378 | (=> | 5399 | (=> | ||
| 5379 | (instance ?NUMBER RealNumber) | 5400 | (instance ?NUMBER RealNumber) | ||
| 5380 | (equal | 5401 | (equal | ||
| 5381 | (MeasureFn ?NUMBER Cup) | 5402 | (MeasureFn ?NUMBER Cup) | ||
| 5382 | (MeasureFn (DivisionFn ?NUMBER 2) Pint))) | 5403 | (MeasureFn (DivisionFn ?NUMBER 2) Pint))) | ||
| 5383 | 5404 | ||||
| 5384 | (subclass Ounce VolumeMeasure) | 5405 | (subclass Ounce VolumeMeasure) | ||
| 5385 | (instance Ounce UnitOfMeasure) | 5406 | (instance Ounce UnitOfMeasure) | ||
| 5386 | (documentation Ounce "English unit of volume equal to 1/8 of a | 5407 | (documentation Ounce "English unit of volume equal to 1/8 of a | ||
| 5387 | &%Cup.") | 5408 | &%Cup.") | ||
| 5388 | 5409 | ||||
| 5389 | (=> | 5410 | (=> | ||
| 5390 | (instance ?NUMBER RealNumber) | 5411 | (instance ?NUMBER RealNumber) | ||
| 5391 | (equal | 5412 | (equal | ||
| 5392 | (MeasureFn ?NUMBER Ounce) | 5413 | (MeasureFn ?NUMBER Ounce) | ||
| 5393 | (MeasureFn (DivisionFn ?NUMBER 8) Cup))) | 5414 | (MeasureFn (DivisionFn ?NUMBER 8) Cup))) | ||
| 5394 | 5415 | ||||
| 5395 | (subclass UnitedKingdomGallon VolumeMeasure) | 5416 | (subclass UnitedKingdomGallon VolumeMeasure) | ||
| 5396 | (instance UnitedKingdomGallon UnitOfMeasure) | 5417 | (instance UnitedKingdomGallon UnitOfMeasure) | ||
| 5397 | (documentation UnitedKingdomGallon "Unit of volume commonly used in the | 5418 | (documentation UnitedKingdomGallon "Unit of volume commonly used in the | ||
| 5398 | United Kingdom.") | 5419 | United Kingdom.") | ||
| 5399 | 5420 | ||||
| 5400 | (=> | 5421 | (=> | ||
| 5401 | (instance ?NUMBER RealNumber) | 5422 | (instance ?NUMBER RealNumber) | ||
| 5402 | (equal | 5423 | (equal | ||
| 5403 | (MeasureFn ?NUMBER UnitedKingdomGallon) | 5424 | (MeasureFn ?NUMBER UnitedKingdomGallon) | ||
| 5404 | (MeasureFn (MultiplicationFn ?NUMBER 4.54609) Liter))) | 5425 | (MeasureFn (MultiplicationFn ?NUMBER 4.54609) Liter))) | ||
| 5405 | 5426 | ||||
| 5406 | ;; More Mass units | 5427 | ;; More Mass units | ||
| 5407 | 5428 | ||||
| 5408 | (subclass AtomGram MassMeasure) | 5429 | (subclass AtomGram MassMeasure) | ||
| 5409 | (instance AtomGram UnitOfMeasure) | 5430 | (instance AtomGram UnitOfMeasure) | ||
| 5410 | (documentation AtomGram "&%MassMeasure that is also known as the gram-atom. | 5431 | (documentation AtomGram "&%MassMeasure that is also known as the gram-atom. | ||
| 5411 | Defined as the mass in grams of 1 &%Mole of pure substance. For example, | 5432 | Defined as the mass in grams of 1 &%Mole of pure substance. For example, | ||
| 5412 | 1 &%AtomGram of Carbon 12 will be 12 &%Grams of pure Carbon 12. 2 &%AtomGrams | 5433 | 1 &%AtomGram of Carbon 12 will be 12 &%Grams of pure Carbon 12. 2 &%AtomGrams | ||
| 5413 | of the same substance will be 24 &%Grams of it. This is an unusual unit in | 5434 | of the same substance will be 24 &%Grams of it. This is an unusual unit in | ||
| 5414 | that it is essentially 1 &%Mole of 'stuff' measured in grams, so that the | 5435 | that it is essentially 1 &%Mole of 'stuff' measured in grams, so that the | ||
| 5415 | actual value (i.e. mass) depends on the type of substance.") | 5436 | actual value (i.e. mass) depends on the type of substance.") | ||
| 5416 | 5437 | ||||
| 5417 | (subclass PoundMass MassMeasure) | 5438 | (subclass PoundMass MassMeasure) | ||
| 5418 | (instance PoundMass UnitOfMeasure) | 5439 | (instance PoundMass UnitOfMeasure) | ||
| 5419 | (documentation PoundMass "English mass unit of pounds.") | 5440 | (documentation PoundMass "English mass unit of pounds.") | ||
| 5420 | 5441 | ||||
| 5421 | (=> | 5442 | (=> | ||
| 5422 | (instance ?NUMBER RealNumber) | 5443 | (instance ?NUMBER RealNumber) | ||
| 5423 | (equal | 5444 | (equal | ||
| 5424 | (MeasureFn ?NUMBER PoundMass) | 5445 | (MeasureFn ?NUMBER PoundMass) | ||
| 5425 | (MeasureFn (MultiplicationFn ?NUMBER 453.59237) Gram))) | 5446 | (MeasureFn (MultiplicationFn ?NUMBER 453.59237) Gram))) | ||
| 5426 | 5447 | ||||
| 5427 | (subclass Slug MassMeasure) | 5448 | (subclass Slug MassMeasure) | ||
| 5428 | (instance Slug UnitOfMeasure) | 5449 | (instance Slug UnitOfMeasure) | ||
| 5429 | (documentation Slug "English mass unit of slugs.") | 5450 | (documentation Slug "English mass unit of slugs.") | ||
| 5430 | 5451 | ||||
| 5431 | (=> | 5452 | (=> | ||
| 5432 | (instance ?NUMBER RealNumber) | 5453 | (instance ?NUMBER RealNumber) | ||
| 5433 | (equal | 5454 | (equal | ||
| 5434 | (MeasureFn ?NUMBER Slug) | 5455 | (MeasureFn ?NUMBER Slug) | ||
| 5435 | (MeasureFn (MultiplicationFn ?NUMBER 14593.90) Gram))) | 5456 | (MeasureFn (MultiplicationFn ?NUMBER 14593.90) Gram))) | ||
| 5436 | 5457 | ||||
| 5437 | ;; More Temperature units | 5458 | ;; More Temperature units | ||
| 5438 | 5459 | ||||
| 5439 | (subclass RankineDegree TemperatureMeasure) | 5460 | (subclass RankineDegree TemperatureMeasure) | ||
| 5440 | (instance RankineDegree UnitOfMeasure) | 5461 | (instance RankineDegree UnitOfMeasure) | ||
| 5441 | (documentation RankineDegree "A &%TemperatureMeasure. Note | 5462 | (documentation RankineDegree "A &%TemperatureMeasure. Note | ||
| 5442 | that 0 &%RankineDegrees is the same as the absolute zero (i.e. 0 | 5463 | that 0 &%RankineDegrees is the same as the absolute zero (i.e. 0 | ||
| 5443 | &%KelvinDegrees).") | 5464 | &%KelvinDegrees).") | ||
| 5444 | 5465 | ||||
| 5445 | (=> | 5466 | (=> | ||
| 5446 | (instance ?NUMBER RealNumber) | 5467 | (instance ?NUMBER RealNumber) | ||
| 5447 | (equal | 5468 | (equal | ||
| 5448 | (MeasureFn ?NUMBER RankineDegree) | 5469 | (MeasureFn ?NUMBER RankineDegree) | ||
| 5449 | (MeasureFn (MultiplicationFn ?NUMBER 1.8) KelvinDegree))) | 5470 | (MeasureFn (MultiplicationFn ?NUMBER 1.8) KelvinDegree))) | ||
| 5450 | 5471 | ||||
| 5451 | (subclass FahrenheitDegree TemperatureMeasure) | 5472 | (subclass FahrenheitDegree TemperatureMeasure) | ||
| 5452 | (instance FahrenheitDegree UnitOfMeasure) | 5473 | (instance FahrenheitDegree UnitOfMeasure) | ||
| 5453 | (documentation FahrenheitDegree "A &%TemperatureMeasure that is commonly | 5474 | (documentation FahrenheitDegree "A &%TemperatureMeasure that is commonly | ||
| 5454 | used in the United States. On the Fahrenheit scale, the freezing point | 5475 | used in the United States. On the Fahrenheit scale, the freezing point | ||
| 5455 | of water is 32 &%FahrenheitDegrees, and the boiling point of water is | 5476 | of water is 32 &%FahrenheitDegrees, and the boiling point of water is | ||
| 5456 | 212 &%FahrenheitDegrees.") | 5477 | 212 &%FahrenheitDegrees.") | ||
| 5457 | 5478 | ||||
| 5458 | ;; More Force units | 5479 | ;; More Force units | ||
| 5459 | 5480 | ||||
| 5460 | (subclass PoundForce FunctionQuantity) | 5481 | (subclass PoundForce FunctionQuantity) | ||
| 5461 | (instance PoundForce UnitOfMeasure) | 5482 | (instance PoundForce UnitOfMeasure) | ||
| 5462 | (documentation PoundForce "English pound of force. The conversion | 5483 | (documentation PoundForce "English pound of force. The conversion | ||
| 5463 | factor depends on the local value of the acceleration of free fall. A | 5484 | factor depends on the local value of the acceleration of free fall. A | ||
| 5464 | mean value is used in the conversion axiom associated with this | 5485 | mean value is used in the conversion axiom associated with this | ||
| 5465 | constant.") | 5486 | constant.") | ||
| 5466 | 5487 | ||||
| 5467 | (=> | 5488 | (=> | ||
| 5468 | (instance ?NUMBER RealNumber) | 5489 | (instance ?NUMBER RealNumber) | ||
| 5469 | (equal | 5490 | (equal | ||
| 5470 | (MeasureFn ?NUMBER PoundForce) | 5491 | (MeasureFn ?NUMBER PoundForce) | ||
| 5471 | (MeasureFn (MultiplicationFn ?NUMBER 4.448222) Newton))) | 5492 | (MeasureFn (MultiplicationFn ?NUMBER 4.448222) Newton))) | ||
| 5472 | 5493 | ||||
| 5473 | ;; More Energy units | 5494 | ;; More Energy units | ||
| 5474 | 5495 | ||||
| 5475 | (subclass Calorie FunctionQuantity) | 5496 | (subclass Calorie FunctionQuantity) | ||
| 5476 | (instance Calorie UnitOfMeasure) | 5497 | (instance Calorie UnitOfMeasure) | ||
| 5477 | (documentation Calorie "A &%Calorie is an energy measure.") | 5498 | (documentation Calorie "A &%Calorie is an energy measure.") | ||
| 5478 | 5499 | ||||
| 5479 | (=> | 5500 | (=> | ||
| 5480 | (instance ?NUMBER RealNumber) | 5501 | (instance ?NUMBER RealNumber) | ||
| 5481 | (equal | 5502 | (equal | ||
| 5482 | (MeasureFn ?NUMBER Calorie) | 5503 | (MeasureFn ?NUMBER Calorie) | ||
| 5483 | (MeasureFn (MultiplicationFn ?NUMBER 4.1868) Joule))) | 5504 | (MeasureFn (MultiplicationFn ?NUMBER 4.1868) Joule))) | ||
| 5484 | 5505 | ||||
| 5485 | (subclass BritishThermalUnit FunctionQuantity) | 5506 | (subclass BritishThermalUnit FunctionQuantity) | ||
| 5486 | (instance BritishThermalUnit UnitOfMeasure) | 5507 | (instance BritishThermalUnit UnitOfMeasure) | ||
| 5487 | (documentation BritishThermalUnit "An energy measure.") | 5508 | (documentation BritishThermalUnit "An energy measure.") | ||
| 5488 | 5509 | ||||
| 5489 | (=> | 5510 | (=> | ||
| 5490 | (instance ?NUMBER RealNumber) | 5511 | (instance ?NUMBER RealNumber) | ||
| 5491 | (equal | 5512 | (equal | ||
| 5492 | (MeasureFn ?NUMBER BritishThermalUnit) | 5513 | (MeasureFn ?NUMBER BritishThermalUnit) | ||
| 5493 | (MeasureFn (MultiplicationFn ?NUMBER 1055.05585262) Joule))) | 5514 | (MeasureFn (MultiplicationFn ?NUMBER 1055.05585262) Joule))) | ||
| 5494 | 5515 | ||||
| 5495 | ;; More plane angle units | 5516 | ;; More plane angle units | ||
| 5496 | 5517 | ||||
| 5497 | (subclass AngularDegree PlaneAngleMeasure) | 5518 | (subclass AngularDegree PlaneAngleMeasure) | ||
| 5498 | (instance AngularDegree UnitOfMeasure) | 5519 | (instance AngularDegree UnitOfMeasure) | ||
| 5499 | (documentation AngularDegree "A plane angle measure.") | 5520 | (documentation AngularDegree "A plane angle measure.") | ||
| 5500 | 5521 | ||||
| 5501 | (=> | 5522 | (=> | ||
| 5502 | (instance ?NUMBER RealNumber) | 5523 | (instance ?NUMBER RealNumber) | ||
| 5503 | (equal | 5524 | (equal | ||
| 5504 | (MeasureFn ?NUMBER AngularDegree) | 5525 | (MeasureFn ?NUMBER AngularDegree) | ||
| 5505 | (MeasureFn (MultiplicationFn ?NUMBER (DivisionFn Pi 180)) Radian))) | 5526 | (MeasureFn (MultiplicationFn ?NUMBER (DivisionFn Pi 180)) Radian))) | ||
| 5506 | 5527 | ||||
| 5507 | ; Other interesting units of measure | 5528 | ; Other interesting units of measure | ||
| 5508 | 5529 | ||||
| 5509 | ; Currency units | 5530 | ; Currency units | ||
| 5510 | 5531 | ||||
| 5511 | (subclass UnitedStatesDollar CurrencyMeasure) | 5532 | (subclass UnitedStatesDollar CurrencyMeasure) | ||
| 5512 | (instance UnitedStatesDollar UnitOfMeasure) | 5533 | (instance UnitedStatesDollar UnitOfMeasure) | ||
| 5513 | (documentation UnitedStatesDollar "A currency measure.") | 5534 | (documentation UnitedStatesDollar "A currency measure.") | ||
| 5514 | 5535 | ||||
| 5515 | (subclass UnitedStatesCent CurrencyMeasure) | 5536 | (subclass UnitedStatesCent CurrencyMeasure) | ||
| 5516 | (instance UnitedStatesCent UnitOfMeasure) | 5537 | (instance UnitedStatesCent UnitOfMeasure) | ||
| 5517 | (documentation UnitedStatesCent "A currency measure. 1 &%UnitedStatesCent is | 5538 | (documentation UnitedStatesCent "A currency measure. 1 &%UnitedStatesCent is | ||
| 5518 | equal to .01 &%UnitedStatesDollars.") | 5539 | equal to .01 &%UnitedStatesDollars.") | ||
| 5519 | 5540 | ||||
| 5520 | (=> | 5541 | (=> | ||
| 5521 | (instance ?NUMBER RealNumber) | 5542 | (instance ?NUMBER RealNumber) | ||
| 5522 | (equal | 5543 | (equal | ||
| 5523 | (MeasureFn ?NUMBER UnitedStatesCent) | 5544 | (MeasureFn ?NUMBER UnitedStatesCent) | ||
| 5524 | (MeasureFn (MultiplicationFn ?NUMBER 0.01) UnitedStatesDollar))) | 5545 | (MeasureFn (MultiplicationFn ?NUMBER 0.01) UnitedStatesDollar))) | ||
| 5525 | 5546 | ||||
| 5526 | (subclass EuroDollar CurrencyMeasure) | 5547 | (subclass EuroDollar CurrencyMeasure) | ||
| 5527 | (instance EuroDollar UnitOfMeasure) | 5548 | (instance EuroDollar UnitOfMeasure) | ||
| 5528 | (documentation EuroDollar "A currency measure of most European Union countries. | 5549 | (documentation EuroDollar "A currency measure of most European Union countries. | ||
| 5529 | It is based on the &%UnitedStatesDollar.") | 5550 | It is based on the &%UnitedStatesDollar.") | ||
| 5530 | 5551 | ||||
| 5531 | (subclass EuroCent CurrencyMeasure) | 5552 | (subclass EuroCent CurrencyMeasure) | ||
| 5532 | (instance EuroCent UnitOfMeasure) | 5553 | (instance EuroCent UnitOfMeasure) | ||
| 5533 | (documentation EuroCent "A currency measure. 1 &%EuroCent is equal to .01 | 5554 | (documentation EuroCent "A currency measure. 1 &%EuroCent is equal to .01 | ||
| 5534 | &%EuroDollars.") | 5555 | &%EuroDollars.") | ||
| 5535 | 5556 | ||||
| 5536 | (=> | 5557 | (=> | ||
| 5537 | (instance ?NUMBER RealNumber) | 5558 | (instance ?NUMBER RealNumber) | ||
| 5538 | (equal | 5559 | (equal | ||
| 5539 | (MeasureFn ?NUMBER EuroCent) | 5560 | (MeasureFn ?NUMBER EuroCent) | ||
| 5540 | (MeasureFn (MultiplicationFn ?NUMBER 0.01) EuroDollar))) | 5561 | (MeasureFn (MultiplicationFn ?NUMBER 0.01) EuroDollar))) | ||
| 5541 | 5562 | ||||
| 5542 | ; Information units | 5563 | ; Information units | ||
| 5543 | 5564 | ||||
| 5544 | (subclass InformationMeasure ConstantQuantity) | 5565 | (subclass InformationMeasure ConstantQuantity) | ||
| 5545 | (documentation InformationMeasure "Measures of the amount of information. | 5566 | (documentation InformationMeasure "Measures of the amount of information. | ||
| 5546 | Includes &%Bit, &%Byte, and multiples of these, e.g. &%KiloByte and | 5567 | Includes &%Bit, &%Byte, and multiples of these, e.g. &%KiloByte and | ||
| 5547 | &%MegaByte.") | 5568 | &%MegaByte.") | ||
| 5548 | 5569 | ||||
| 5549 | (subclass Bit InformationMeasure) | 5570 | (subclass Bit InformationMeasure) | ||
| 5550 | (instance Bit UnitOfMeasure) | 5571 | (instance Bit UnitOfMeasure) | ||
| 5551 | (documentation Bit "One &%Bit of information. A one or a zero.") | 5572 | (documentation Bit "One &%Bit of information. A one or a zero.") | ||
| 5552 | 5573 | ||||
| 5553 | (subclass Byte InformationMeasure) | 5574 | (subclass Byte InformationMeasure) | ||
| 5554 | (instance Byte UnitOfMeasure) | 5575 | (instance Byte UnitOfMeasure) | ||
| 5555 | (documentation Byte "One &%Byte of information. A &%Byte is eight | 5576 | (documentation Byte "One &%Byte of information. A &%Byte is eight | ||
| 5556 | &%Bits.") | 5577 | &%Bits.") | ||
| 5557 | 5578 | ||||
| 5558 | (=> | 5579 | (=> | ||
| 5559 | (instance ?NUMBER RealNumber) | 5580 | (instance ?NUMBER RealNumber) | ||
| 5560 | (equal | 5581 | (equal | ||
| 5561 | (MeasureFn ?NUMBER Byte) | 5582 | (MeasureFn ?NUMBER Byte) | ||
| 5562 | (MeasureFn (MultiplicationFn ?NUMBER 8) Bit))) | 5583 | (MeasureFn (MultiplicationFn ?NUMBER 8) Bit))) | ||
| 5563 | 5584 | ||||
| 5564 | (subclass KiloByte InformationMeasure) | 5585 | (subclass KiloByte InformationMeasure) | ||
| 5565 | (instance KiloByte UnitOfMeasure) | 5586 | (instance KiloByte UnitOfMeasure) | ||
| 5566 | (documentation KiloByte "One &%KiloByte (KB) of information. One | 5587 | (documentation KiloByte "One &%KiloByte (KB) of information. One | ||
| 5567 | &%KiloByte is 1024 &%Bytes. Note that this sense of 'kilo' is | 5588 | &%KiloByte is 1024 &%Bytes. Note that this sense of 'kilo' is | ||
| 5568 | different from the one accepted in the SI system.") | 5589 | different from the one accepted in the SI system.") | ||
| 5569 | 5590 | ||||
| 5570 | (=> | 5591 | (=> | ||
| 5571 | (instance ?NUMBER RealNumber) | 5592 | (instance ?NUMBER RealNumber) | ||
| 5572 | (equal | 5593 | (equal | ||
| 5573 | (MeasureFn ?NUMBER KiloByte) | 5594 | (MeasureFn ?NUMBER KiloByte) | ||
| 5574 | (MeasureFn (MultiplicationFn ?NUMBER 1024) Byte))) | 5595 | (MeasureFn (MultiplicationFn ?NUMBER 1024) Byte))) | ||
| 5575 | 5596 | ||||
| 5576 | (subclass MegaByte InformationMeasure) | 5597 | (subclass MegaByte InformationMeasure) | ||
| 5577 | (instance MegaByte UnitOfMeasure) | 5598 | (instance MegaByte UnitOfMeasure) | ||
| 5578 | (documentation MegaByte "One &%MegaByte (MB) of information. One | 5599 | (documentation MegaByte "One &%MegaByte (MB) of information. One | ||
| 5579 | &%MegaByte is 1024 &%KiloBytes. Note that this sense of 'mega' is | 5600 | &%MegaByte is 1024 &%KiloBytes. Note that this sense of 'mega' is | ||
| 5580 | different from the one accepted in the SI system.") | 5601 | different from the one accepted in the SI system.") | ||
| 5581 | 5602 | ||||
| 5582 | (=> | 5603 | (=> | ||
| 5583 | (instance ?NUMBER RealNumber) | 5604 | (instance ?NUMBER RealNumber) | ||
| 5584 | (equal | 5605 | (equal | ||
| 5585 | (MeasureFn ?NUMBER MegaByte) | 5606 | (MeasureFn ?NUMBER MegaByte) | ||
| 5586 | (MeasureFn (MultiplicationFn ?NUMBER 1024) KiloByte))) | 5607 | (MeasureFn (MultiplicationFn ?NUMBER 1024) KiloByte))) | ||
| 5587 | 5608 | ||||
| 5588 | ;; The following content was inspired by the Quantities ontology | 5609 | ;; The following content was inspired by the Quantities ontology | ||
| 5589 | ;; developed by ITBM-CNR. | 5610 | ;; developed by ITBM-CNR. | ||
| 5590 | 5611 | ||||
| 5591 | (instance measure BinaryPredicate) | 5612 | (instance measure BinaryPredicate) | ||
| 5592 | (instance measure AsymmetricRelation) | 5613 | (instance measure AsymmetricRelation) | ||
| 5593 | (domain measure 1 Object) | 5614 | (domain measure 1 Object) | ||
| 5594 | (domain measure 2 PhysicalQuantity) | 5615 | (domain measure 2 PhysicalQuantity) | ||
| 5595 | (documentation measure "A very general &%Predicate for asserting that a | 5616 | (documentation measure "A very general &%Predicate for asserting that a | ||
| 5596 | particular &%Object is measured by a particular &%ConstantQuantity. | 5617 | particular &%Object is measured by a particular &%ConstantQuantity. | ||
| 5597 | In general, the second argument of this &%Predicate will be an instance | 5618 | In general, the second argument of this &%Predicate will be an instance | ||
| 5598 | of the &%Function &%MeasureFn.") | 5619 | of the &%Function &%MeasureFn.") | ||
| 5599 | 5620 | ||||
| 5600 | (instance age SingleValuedRelation) | 5621 | (instance age SingleValuedRelation) | ||
| 5601 | (subrelation age measure) | 5622 | (subrelation age measure) | ||
| 5602 | (domain age 2 TimeDuration) | 5623 | (domain age 2 TimeDuration) | ||
| 5603 | (documentation age "Simply relates an &%Object to a &%ConstantQuantity | 5624 | (documentation age "Simply relates an &%Object to a &%ConstantQuantity | ||
| 5604 | specifying the age of the &%Object.") | 5625 | specifying the age of the &%Object.") | ||
| 5605 | 5626 | ||||
| 5606 | (subrelation length measure) | 5627 | (subrelation length measure) | ||
| 5607 | (domain length 2 LengthMeasure) | 5628 | (domain length 2 LengthMeasure) | ||
| 5608 | (documentation length "&%BinaryPredicate that is used to state the measure | 5629 | (documentation length "&%BinaryPredicate that is used to state the measure | ||
| 5609 | of an &%Object from one point to another point along its surface. Note | 5630 | of an &%Object from one point to another point along its surface. Note | ||
| 5610 | that the difference between the predicates &%length and &%distance is that | 5631 | that the difference between the predicates &%length and &%distance is that | ||
| 5611 | the &%length is used to state the &%LengthMeasure of one of the dimensions of | 5632 | the &%length is used to state the &%LengthMeasure of one of the dimensions of | ||
| 5612 | a single object, while &%distance is used to state the &%LengthMeasure that | 5633 | a single object, while &%distance is used to state the &%LengthMeasure that | ||
| 5613 | separates two distinct objects") | 5634 | separates two distinct objects") | ||
| 5614 | 5635 | ||||
| 5615 | (instance width SingleValuedRelation) | 5636 | (instance width SingleValuedRelation) | ||
| 5616 | (subrelation width length) | 5637 | (subrelation width length) | ||
| 5617 | (documentation width "&%BinaryPredicate that is used to state the measure | 5638 | (documentation width "&%BinaryPredicate that is used to state the measure | ||
| 5618 | of an &%Object from side to side at its widest span.") | 5639 | of an &%Object from side to side at its widest span.") | ||
| 5619 | 5640 | ||||
| 5620 | (subrelation diameter width) | 5641 | (subrelation diameter width) | ||
| 5621 | (documentation diameter "&%BinaryPredicate that is used to state the | 5642 | (documentation diameter "&%BinaryPredicate that is used to state the | ||
| 5622 | measure of a circular &%Object from side to side.") | 5643 | measure of a circular &%Object from side to side.") | ||
| 5623 | 5644 | ||||
| 5624 | (instance distance SingleValuedRelation) | 5645 | (instance distance SingleValuedRelation) | ||
| 5625 | (instance distance SpatialRelation) | 5646 | (instance distance SpatialRelation) | ||
| 5626 | (instance distance TernaryPredicate) | 5647 | (instance distance TernaryPredicate) | ||
| 5627 | (domain distance 1 Physical) | 5648 | (domain distance 1 Physical) | ||
| 5628 | (domain distance 2 Physical) | 5649 | (domain distance 2 Physical) | ||
| 5629 | (domain distance 3 LengthMeasure) | 5650 | (domain distance 3 LengthMeasure) | ||
| 5630 | (documentation distance "(&%distance ?OBJ1 ?OBJ2 ?QUANT) means that the | 5651 | (documentation distance "(&%distance ?OBJ1 ?OBJ2 ?QUANT) means that the | ||
| 5631 | shortest distance between the two objects ?OBJ1 and ?OBJ2 is ?QUANT. Note | 5652 | shortest distance between the two objects ?OBJ1 and ?OBJ2 is ?QUANT. Note | ||
| 5632 | that the difference between the predicates &%length and &%distance is that | 5653 | that the difference between the predicates &%length and &%distance is that | ||
| 5633 | the &%length is used to state the &%LengthMeasure of one of the dimensions of | 5654 | the &%length is used to state the &%LengthMeasure of one of the dimensions of | ||
| 5634 | a single object, while &%distance is used to state the &%LengthMeasure that | 5655 | a single object, while &%distance is used to state the &%LengthMeasure that | ||
| 5635 | separates two distinct objects.") | 5656 | separates two distinct objects.") | ||
| 5636 | 5657 | ||||
| 5637 | (=> | 5658 | (=> | ||
| 5638 | (distance ?OBJ1 ?OBJ2 ?QUANT) | 5659 | (distance ?OBJ1 ?OBJ2 ?QUANT) | ||
| 5639 | (distance ?OBJ2 ?OBJ1 ?QUANT)) | 5660 | (distance ?OBJ2 ?OBJ1 ?QUANT)) | ||
| 5640 | 5661 | ||||
| 5641 | (subrelation altitude distance) | 5662 | (subrelation altitude distance) | ||
| 5642 | (instance altitude SingleValuedRelation) | 5663 | (instance altitude SingleValuedRelation) | ||
| 5643 | (documentation altitude "A &%TernaryPredicate that is used to state the &%distance | 5664 | (documentation altitude "A &%TernaryPredicate that is used to state the &%distance | ||
| 5644 | between the &%top of an &%Object and another point that is below the &%top of the | 5665 | between the &%top of an &%Object and another point that is below the &%top of the | ||
| 5645 | &%Object (often this other point will be sea level). Note that this &%Predicate can | 5666 | &%Object (often this other point will be sea level). Note that this &%Predicate can | ||
| 5646 | be used to specify, for example, the height of geographic features, e.g. mountains, | 5667 | be used to specify, for example, the height of geographic features, e.g. mountains, | ||
| 5647 | the altitude of aircraft, and the orbit of satellites around the Earth.") | 5668 | the altitude of aircraft, and the orbit of satellites around the Earth.") | ||
| 5648 | 5669 | ||||
| 5649 | (=> | 5670 | (=> | ||
| 5650 | (altitude ?OBJ1 ?OBJ2 ?HEIGHT) | 5671 | (altitude ?OBJ1 ?OBJ2 ?HEIGHT) | ||
| 5651 | (orientation ?OBJ1 ?OBJ2 Above)) | 5672 | (orientation ?OBJ1 ?OBJ2 Above)) | ||
| 5652 | 5673 | ||||
| 5653 | (=> | 5674 | (=> | ||
| 5654 | (altitude ?OBJ1 ?OBJ2 ?HEIGHT) | 5675 | (altitude ?OBJ1 ?OBJ2 ?HEIGHT) | ||
| 5655 | (exists (?TOP) | 5676 | (exists (?TOP) | ||
| 5656 | (and | 5677 | (and | ||
| 5657 | (top ?TOP ?OBJ1) | 5678 | (top ?TOP ?OBJ1) | ||
| 5658 | (distance ?TOP ?OBJ2 ?HEIGHT)))) | 5679 | (distance ?TOP ?OBJ2 ?HEIGHT)))) | ||
| 5659 | 5680 | ||||
| 5660 | (subrelation depth distance) | 5681 | (subrelation depth distance) | ||
| 5661 | (instance depth SingleValuedRelation) | 5682 | (instance depth SingleValuedRelation) | ||
| 5662 | (documentation depth "A &%TernaryPredicate that is used to state the &%distance | 5683 | (documentation depth "A &%TernaryPredicate that is used to state the &%distance | ||
| 5663 | between the &%top of an &%Object and another point that is above the &%top of the | 5684 | between the &%top of an &%Object and another point that is above the &%top of the | ||
| 5664 | &%Object (often this other point will be sea level). Note that this &%Predicate can | 5685 | &%Object (often this other point will be sea level). Note that this &%Predicate can | ||
| 5665 | be used to specify, for example, the depth of marine life or submarines, for example.") | 5686 | be used to specify, for example, the depth of marine life or submarines, for example.") | ||
| 5666 | 5687 | ||||
| 5667 | (=> | 5688 | (=> | ||
| 5668 | (depth ?OBJ1 ?OBJ2 ?DEPTH) | 5689 | (depth ?OBJ1 ?OBJ2 ?DEPTH) | ||
| 5669 | (orientation ?OBJ1 ?OBJ2 Below)) | 5690 | (orientation ?OBJ1 ?OBJ2 Below)) | ||
| 5670 | 5691 | ||||
| 5671 | (=> | 5692 | (=> | ||
| 5672 | (depth ?OBJ1 ?OBJ2 ?DEPTH) | 5693 | (depth ?OBJ1 ?OBJ2 ?DEPTH) | ||
| 5673 | (exists (?BOTTOM) | 5694 | (exists (?BOTTOM) | ||
| 5674 | (and | 5695 | (and | ||
| 5675 | (bottom ?BOTTOM ?OBJ1) | 5696 | (bottom ?BOTTOM ?OBJ1) | ||
| 5676 | (distance ?BOTTOM ?OBJ2 ?DEPTH)))) | 5697 | (distance ?BOTTOM ?OBJ2 ?DEPTH)))) | ||
| 5677 | 5698 | ||||
| 5678 | (instance larger BinaryPredicate) | 5699 | (instance larger BinaryPredicate) | ||
| 5679 | (instance larger SpatialRelation) | 5700 | (instance larger SpatialRelation) | ||
| 5680 | (instance larger TransitiveRelation) | 5701 | (instance larger TransitiveRelation) | ||
| 5681 | (instance larger IrreflexiveRelation) | 5702 | (instance larger IrreflexiveRelation) | ||
| 5682 | (domain larger 1 Object) | 5703 | (domain larger 1 Object) | ||
| 5683 | (domain larger 2 Object) | 5704 | (domain larger 2 Object) | ||
| 5684 | (documentation larger "(&%larger ?OBJ1 ?OBJ2) simply means that ?OBJ1 is | 5705 | (documentation larger "(&%larger ?OBJ1 ?OBJ2) simply means that ?OBJ1 is | ||
| 5685 | larger, with respect to all &%LengthMeasures, than ?OBJ2.") | 5706 | larger, with respect to all &%LengthMeasures, than ?OBJ2.") | ||
| 5686 | 5707 | ||||
| 5687 | (=> | 5708 | (=> | ||
| 5688 | (larger ?OBJ1 ?OBJ2) | 5709 | (larger ?OBJ1 ?OBJ2) | ||
| 5689 | (forall (?QUANT1 ?QUANT2) | 5710 | (forall (?QUANT1 ?QUANT2) | ||
| 5690 | (=> | 5711 | (=> | ||
| 5691 | (and | 5712 | (and | ||
| 5692 | (measure ?OBJ1 (MeasureFn ?QUANT1 LengthMeasure)) | 5713 | (measure ?OBJ1 (MeasureFn ?QUANT1 LengthMeasure)) | ||
| 5693 | (measure ?OBJ2 (MeasureFn ?QUANT2 LengthMeasure))) | 5714 | (measure ?OBJ2 (MeasureFn ?QUANT2 LengthMeasure))) | ||
| 5694 | (greaterThan ?QUANT1 ?QUANT2)))) | 5715 | (greaterThan ?QUANT1 ?QUANT2)))) | ||
| 5695 | 5716 | ||||
| 5696 | (instance smaller BinaryPredicate) | 5717 | (instance smaller BinaryPredicate) | ||
| 5697 | (instance smaller SpatialRelation) | 5718 | (instance smaller SpatialRelation) | ||
| 5698 | (instance smaller TransitiveRelation) | 5719 | (instance smaller TransitiveRelation) | ||
| 5699 | (instance smaller IrreflexiveRelation) | 5720 | (instance smaller IrreflexiveRelation) | ||
| 5700 | (domain smaller 1 Object) | 5721 | (domain smaller 1 Object) | ||
| 5701 | (domain smaller 2 Object) | 5722 | (domain smaller 2 Object) | ||
| 5702 | (inverse smaller larger) | 5723 | (inverse smaller larger) | ||
| 5703 | (documentation smaller "(&%smaller ?OBJ1 ?OBJ2) simply means that ?OBJ1 | 5724 | (documentation smaller "(&%smaller ?OBJ1 ?OBJ2) simply means that ?OBJ1 | ||
| 5704 | is smaller, with respect to all &%LengthMeasures, than ?OBJ2.") | 5725 | is smaller, with respect to all &%LengthMeasures, than ?OBJ2.") | ||
| 5705 | 5726 | ||||
| 5706 | (instance monetaryValue SingleValuedRelation) | 5727 | (instance monetaryValue SingleValuedRelation) | ||
| 5707 | (subrelation monetaryValue measure) | 5728 | (subrelation monetaryValue measure) | ||
| 5708 | (domain monetaryValue 1 Object) | 5729 | (domain monetaryValue 1 Object) | ||
| 5709 | (domain monetaryValue 2 CurrencyMeasure) | 5730 | (domain monetaryValue 2 CurrencyMeasure) | ||
| 5710 | (documentation monetaryValue "A &%BinaryPredicate that associates an | 5731 | (documentation monetaryValue "A &%BinaryPredicate that associates an | ||
| 5711 | &%Object with its value expressed as an instance of &%CurrencyMeasure.") | 5732 | &%Object with its value expressed as an instance of &%CurrencyMeasure.") | ||
| 5712 | 5733 | ||||
| 5713 | (instance WealthFn UnaryFunction) | 5734 | (instance WealthFn UnaryFunction) | ||
| 5714 | (domain WealthFn 1 Agent) | 5735 | (domain WealthFn 1 Agent) | ||
| 5715 | (range WealthFn CurrencyMeasure) | 5736 | (range WealthFn CurrencyMeasure) | ||
| 5716 | (documentation WealthFn "A &%UnaryFunction that maps an &%Agent to a &%CurrencyMeasure specifying the value of the property owned by the &%Agent. Note that this &%Function is generally used in conjunction with the &%Function &%PropertyFn, e.g. (&%WealthFn (&%PropertyFn BillGates)) would return the monetary value of the sum of Bill Gates' holdings.") | 5737 | (documentation WealthFn "A &%UnaryFunction that maps an &%Agent to a &%CurrencyMeasure specifying the value of the property owned by the &%Agent. Note that this &%Function is generally used in conjunction with the &%Function &%PropertyFn, e.g. (&%WealthFn (&%PropertyFn BillGates)) would return the monetary value of the sum of Bill Gates' holdings.") | ||
| 5717 | 5738 | ||||
| 5718 | (<=> | 5739 | (<=> | ||
| 5719 | (equal (WealthFn ?PERSON) ?AMOUNT) | 5740 | (equal (WealthFn ?PERSON) ?AMOUNT) | ||
| 5720 | (monetaryValue (PropertyFn ?PERSON) ?AMOUNT)) | 5741 | (monetaryValue (PropertyFn ?PERSON) ?AMOUNT)) | ||
| 5721 | 5742 | ||||
| 5722 | ;; END FILE | 5743 | ;; END FILE | ||
| 5723 | 5744 | ||||
| 5724 | ;; BEGIN FILE | 5745 | ;; BEGIN FILE | ||
| 5725 | 5746 | ||||
| 5726 | 5747 | ||||
| 5727 | ;;;;;;;;;;;;;;;;;;;;;;; | 5748 | ;;;;;;;;;;;;;;;;;;;;;;; | ||
| 5728 | ;; TEMPORAL CONCEPTS ;; | 5749 | ;; TEMPORAL CONCEPTS ;; | ||
| 5729 | ;;;;;;;;;;;;;;;;;;;;;;; | 5750 | ;;;;;;;;;;;;;;;;;;;;;;; | ||
| 5730 | 5751 | ||||
| 5731 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | 5752 | ;; INCLUDES 'STRUCTURAL ONTOLOGY' | ||
| 5732 | ;; INCLUDES 'BASE ONTOLOGY' | 5753 | ;; INCLUDES 'BASE ONTOLOGY' | ||
| 5733 | 5754 | ||||
| 5734 | ;; The first part of this section contains definitions relations involving | 5755 | ;; The first part of this section contains definitions relations involving | ||
| 5735 | ;; temporal notions. Most of these definitions and axioms were derived from | 5756 | ;; temporal notions. Most of these definitions and axioms were derived from | ||
| 5736 | ;; James Allen's work. This part of the section was extensively revised on | 5757 | ;; James Allen's work. This part of the section was extensively revised on | ||
| 5737 | ;; the basis of comments from Pat Hayes. The second part of this section | 5758 | ;; the basis of comments from Pat Hayes. The second part of this section | ||
| 5738 | ;; is an attempt to incorporate the Simple-Time ontology from the | 5759 | ;; is an attempt to incorporate the Simple-Time ontology from the | ||
| 5739 | ;; Ontolingua server into the SUMO. | 5760 | ;; Ontolingua server into the SUMO. | ||
| 5740 | 5761 | ||||
| 5741 | (instance PositiveInfinity TimePoint) | 5762 | (instance PositiveInfinity TimePoint) | ||
| 5742 | (documentation PositiveInfinity "The &%TimePoint that is after | 5763 | (documentation PositiveInfinity "The &%TimePoint that is after | ||
| 5743 | all other &%TimePoints.") | 5764 | all other &%TimePoints.") | ||
| 5744 | 5765 | ||||
| 5745 | (=> | 5766 | (=> | ||
| 5746 | (and | 5767 | (and | ||
| 5747 | (instance ?POINT TimePoint) | 5768 | (instance ?POINT TimePoint) | ||
| 5748 | (not (equal ?POINT PositiveInfinity))) | 5769 | (not (equal ?POINT PositiveInfinity))) | ||
| 5749 | (before ?POINT PositiveInfinity)) | 5770 | (before ?POINT PositiveInfinity)) | ||
| 5750 | 5771 | ||||
| 5751 | (=> | 5772 | (=> | ||
| 5752 | (and | 5773 | (and | ||
| 5753 | (instance ?POINT TimePoint) | 5774 | (instance ?POINT TimePoint) | ||
| 5754 | (not (equal ?POINT PositiveInfinity))) | 5775 | (not (equal ?POINT PositiveInfinity))) | ||
| 5755 | (exists (?OTHERPOINT) | 5776 | (exists (?OTHERPOINT) | ||
| 5756 | (temporallyBetween ?POINT ?OTHERPOINT PositiveInfinity))) | 5777 | (temporallyBetween ?POINT ?OTHERPOINT PositiveInfinity))) | ||
| 5757 | 5778 | ||||
| 5758 | (instance NegativeInfinity TimePoint) | 5779 | (instance NegativeInfinity TimePoint) | ||
| 5759 | (documentation NegativeInfinity "The &%TimePoint that is before | 5780 | (documentation NegativeInfinity "The &%TimePoint that is before | ||
| 5760 | all other &%TimePoints.") | 5781 | all other &%TimePoints.") | ||
| 5761 | 5782 | ||||
| 5762 | (=> | 5783 | (=> | ||
| 5763 | (and | 5784 | (and | ||
| 5764 | (instance ?POINT TimePoint) | 5785 | (instance ?POINT TimePoint) | ||
| 5765 | (not (equal ?POINT NegativeInfinity))) | 5786 | (not (equal ?POINT NegativeInfinity))) | ||
| 5766 | (before NegativeInfinity ?POINT)) | 5787 | (before NegativeInfinity ?POINT)) | ||
| 5767 | 5788 | ||||
| 5768 | (=> | 5789 | (=> | ||
| 5769 | (and | 5790 | (and | ||
| 5770 | (instance ?POINT TimePoint) | 5791 | (instance ?POINT TimePoint) | ||
| 5771 | (not (equal ?POINT NegativeInfinity))) | 5792 | (not (equal ?POINT NegativeInfinity))) | ||
| 5772 | (exists (?OTHERPOINT) | 5793 | (exists (?OTHERPOINT) | ||
| 5773 | (temporallyBetween NegativeInfinity ?OTHERPOINT ?POINT))) | 5794 | (temporallyBetween NegativeInfinity ?OTHERPOINT ?POINT))) | ||
| 5774 | 5795 | ||||
| 5775 | (instance duration BinaryPredicate) | 5796 | (instance duration BinaryPredicate) | ||
| 5776 | (instance duration AsymmetricRelation) | 5797 | (instance duration AsymmetricRelation) | ||
| 5777 | (instance duration TotalValuedRelation) | 5798 | (instance duration TotalValuedRelation) | ||
| 5778 | (domain duration 1 TimeInterval) | 5799 | (domain duration 1 TimeInterval) | ||
| 5779 | (domain duration 2 TimeDuration) | 5800 | (domain duration 2 TimeDuration) | ||
| 5780 | (documentation duration "(&%duration ?POS ?TIME) means that the | 5801 | (documentation duration "(&%duration ?POS ?TIME) means that the | ||
| 5781 | duration of the &%TimePosition ?POS is ?TIME. Note that this | 5802 | duration of the &%TimePosition ?POS is ?TIME. Note that this | ||
| 5782 | &%Predicate can be used in conjunction with the &%Function &%WhenFn | 5803 | &%Predicate can be used in conjunction with the &%Function &%WhenFn | ||
| 5783 | to specify the duration of any instance of &%Physical.") | 5804 | to specify the duration of any instance of &%Physical.") | ||
| 5784 | 5805 | ||||
| 5785 | (instance frequency BinaryPredicate) | 5806 | (instance frequency BinaryPredicate) | ||
| 5786 | (instance frequency AsymmetricRelation) | 5807 | (instance frequency AsymmetricRelation) | ||
| 5787 | (domainSubclass frequency 1 Process) | 5808 | (domainSubclass frequency 1 Process) | ||
| 5788 | (domain frequency 2 TimeDuration) | 5809 | (domain frequency 2 TimeDuration) | ||
| 5789 | (documentation frequency "(frequency ?PROC ?TIME) means that the | 5810 | (documentation frequency "(frequency ?PROC ?TIME) means that the | ||
| 5790 | &%Process type of ?PROC recurs after every interval of ?TIME.") | 5811 | &%Process type of ?PROC recurs after every interval of ?TIME.") | ||
| 5791 | 5812 | ||||
| 5792 | (=> | 5813 | (=> | ||
| 5793 | (frequency ?PROC ?TIME1) | 5814 | (frequency ?PROC ?TIME1) | ||
| 5794 | (forall (?TIME2) | 5815 | (forall (?TIME2) | ||
| 5795 | (=> | 5816 | (=> | ||
| 5796 | (duration ?TIME2 ?TIME1) | 5817 | (duration ?TIME2 ?TIME1) | ||
| 5797 | (exists (?POSITION) | 5818 | (exists (?POSITION) | ||
| 5798 | (and | 5819 | (and | ||
| 5799 | (temporalPart ?POSITION ?TIME2) | 5820 | (temporalPart ?POSITION ?TIME2) | ||
| 5800 | (holdsDuring ?POSITION (exists (?INST) (instance ?INST ?PROC)))))))) | 5821 | (holdsDuring ?POSITION (exists (?INST) (instance ?INST ?PROC)))))))) | ||
| 5801 | 5822 | ||||
| 5802 | (instance temporalPart BinaryPredicate) | 5823 | (instance temporalPart BinaryPredicate) | ||
| 5803 | (instance temporalPart TemporalRelation) | 5824 | (instance temporalPart TemporalRelation) | ||
| 5804 | (instance temporalPart PartialOrderingRelation) | 5825 | (instance temporalPart PartialOrderingRelation) | ||
| 5805 | (domain temporalPart 1 TimePosition) | 5826 | (domain temporalPart 1 TimePosition) | ||
| 5806 | (domain temporalPart 2 TimePosition) | 5827 | (domain temporalPart 2 TimePosition) | ||
| 5807 | (documentation temporalPart "The temporal analogue of the spatial &%part predicate. | 5828 | (documentation temporalPart "The temporal analogue of the spatial &%part predicate. | ||
| 5808 | (&%temporalPart ?POS1 ?POS2) means that &%TimePosition ?POS1 is part of &%TimePosition ?POS2. Note that since &%temporalPart is a &%ReflexiveRelation every &%TimePostion is a | 5829 | (&%temporalPart ?POS1 ?POS2) means that &%TimePosition ?POS1 is part of &%TimePosition ?POS2. Note that since &%temporalPart is a &%ReflexiveRelation every &%TimePostion is a | ||
| 5809 | &%temporalPart of itself.") | 5830 | &%temporalPart of itself.") | ||
| 5810 | 5831 | ||||
| 5811 | (=> | 5832 | (=> | ||
| 5812 | (instance ?POINT TimePoint) | 5833 | (instance ?POINT TimePoint) | ||
| 5813 | (exists (?INTERVAL) | 5834 | (exists (?INTERVAL) | ||
| 5814 | (and | 5835 | (and | ||
| 5815 | (instance ?INTERVAL TimeInterval) | 5836 | (instance ?INTERVAL TimeInterval) | ||
| 5816 | (temporalPart ?POINT ?INTERVAL)))) | 5837 | (temporalPart ?POINT ?INTERVAL)))) | ||
| 5817 | 5838 | ||||
| 5818 | (=> | 5839 | (=> | ||
| 5819 | (instance ?INTERVAL TimeInterval) | 5840 | (instance ?INTERVAL TimeInterval) | ||
| 5820 | (exists (?POINT) | 5841 | (exists (?POINT) | ||
| 5821 | (and | 5842 | (and | ||
| 5822 | (instance ?POINT TimePoint) | 5843 | (instance ?POINT TimePoint) | ||
| 5823 | (temporalPart ?POINT ?INTERVAL)))) | 5844 | (temporalPart ?POINT ?INTERVAL)))) | ||
| 5824 | 5845 | ||||
| 5825 | (=> | 5846 | (=> | ||
| 5826 | (and | 5847 | (and | ||
| 5827 | (holdsDuring ?TIME1 ?SITUATION) | 5848 | (holdsDuring ?TIME1 ?SITUATION) | ||
| 5828 | (temporalPart ?TIME2 ?TIME1)) | 5849 | (temporalPart ?TIME2 ?TIME1)) | ||
| 5829 | (holdsDuring ?TIME2 ?SITUATION)) | 5850 | (holdsDuring ?TIME2 ?SITUATION)) | ||
| 5830 | 5851 | ||||
| 5831 | (=> | 5852 | (=> | ||
| 5832 | (and | 5853 | (and | ||
| 5833 | (holdsDuring ?INTERVAL (holds ?REL ?INST1 ?INST2)) | 5854 | (holdsDuring ?INTERVAL (holds ?REL ?INST1 ?INST2)) | ||
| 5834 | (instance ?INST1 Physical) | 5855 | (instance ?INST1 Physical) | ||
| 5835 | (instance ?INST2 Physical)) | 5856 | (instance ?INST2 Physical)) | ||
| 5836 | (and | 5857 | (and | ||
| 5837 | (time ?INST1 ?INTERVAL) | 5858 | (time ?INST1 ?INTERVAL) | ||
| 5838 | (time ?INST2 ?INTERVAL))) | 5859 | (time ?INST2 ?INTERVAL))) | ||
| 5839 | 5860 | ||||
| 5840 | (<=> | 5861 | (<=> | ||
| 5841 | (temporalPart ?POS (WhenFn ?THING)) | 5862 | (temporalPart ?POS (WhenFn ?THING)) | ||
| 5842 | (time ?THING ?POS)) | 5863 | (time ?THING ?POS)) | ||
| 5843 | 5864 | ||||
| 5844 | (instance BeginFn TemporalRelation) | 5865 | (instance BeginFn TemporalRelation) | ||
| 5845 | (instance BeginFn UnaryFunction) | 5866 | (instance BeginFn UnaryFunction) | ||
| 5846 | (instance BeginFn TotalValuedRelation) | 5867 | (instance BeginFn TotalValuedRelation) | ||
| 5847 | (domain BeginFn 1 TimeInterval) | 5868 | (domain BeginFn 1 TimeInterval) | ||
| 5848 | (range BeginFn TimePoint) | 5869 | (range BeginFn TimePoint) | ||
| 5849 | (documentation BeginFn "A &%UnaryFunction that maps a &%TimeInterval to | 5870 | (documentation BeginFn "A &%UnaryFunction that maps a &%TimeInterval to | ||
| 5850 | the &%TimePoint at which the interval begins.") | 5871 | the &%TimePoint at which the interval begins.") | ||
| 5851 | 5872 | ||||
| 5852 | (=> | 5873 | (=> | ||
| 5853 | (origin ?PROCESS ?OBJ) | 5874 | (origin ?PROCESS ?OBJ) | ||
| 5854 | (located (WhereFn ?PROCESS (BeginFn (WhenFn ?PROCESS))) (WhereFn ?OBJ (BeginFn (WhenFn ?OBJ))))) | 5875 | (located (WhereFn ?PROCESS (BeginFn (WhenFn ?PROCESS))) (WhereFn ?OBJ (BeginFn (WhenFn ?OBJ))))) | ||
| 5855 | 5876 | ||||
| 5856 | (=> | 5877 | (=> | ||
| 5857 | (equal (BeginFn ?INTERVAL) ?POINT) | 5878 | (equal (BeginFn ?INTERVAL) ?POINT) | ||
| 5858 | (forall (?OTHERPOINT) | 5879 | (forall (?OTHERPOINT) | ||
| 5859 | (=> | 5880 | (=> | ||
| 5860 | (and | 5881 | (and | ||
| 5861 | (temporalPart ?OTHERPOINT ?INTERVAL) | 5882 | (temporalPart ?OTHERPOINT ?INTERVAL) | ||
| 5862 | (not (equal ?OTHERPOINT ?POINT))) | 5883 | (not (equal ?OTHERPOINT ?POINT))) | ||
| 5863 | (before ?POINT ?OTHERPOINT)))) | 5884 | (before ?POINT ?OTHERPOINT)))) | ||
| 5864 | 5885 | ||||
| 5865 | (instance EndFn TemporalRelation) | 5886 | (instance EndFn TemporalRelation) | ||
| 5866 | (instance EndFn UnaryFunction) | 5887 | (instance EndFn UnaryFunction) | ||
| 5867 | (instance EndFn TotalValuedRelation) | 5888 | (instance EndFn TotalValuedRelation) | ||
| 5868 | (domain EndFn 1 TimeInterval) | 5889 | (domain EndFn 1 TimeInterval) | ||
| 5869 | (range EndFn TimePoint) | 5890 | (range EndFn TimePoint) | ||
| 5870 | (documentation EndFn "A &%UnaryFunction that maps a &%TimeInterval to | 5891 | (documentation EndFn "A &%UnaryFunction that maps a &%TimeInterval to | ||
| 5871 | the &%TimePoint at which the interval ends.") | 5892 | the &%TimePoint at which the interval ends.") | ||
| 5872 | 5893 | ||||
| 5873 | (=> | 5894 | (=> | ||
| 5874 | (equal (EndFn ?INTERVAL) ?POINT) | 5895 | (equal (EndFn ?INTERVAL) ?POINT) | ||
| 5875 | (forall (?OTHERPOINT) | 5896 | (forall (?OTHERPOINT) | ||
| 5876 | (=> | 5897 | (=> | ||
| 5877 | (and | 5898 | (and | ||
| 5878 | (temporalPart ?OTHERPOINT ?INTERVAL) | 5899 | (temporalPart ?OTHERPOINT ?INTERVAL) | ||
| 5879 | (not (equal ?OTHERPOINT ?POINT))) | 5900 | (not (equal ?OTHERPOINT ?POINT))) | ||
| 5880 | (before ?OTHERPOINT ?POINT)))) | 5901 | (before ?OTHERPOINT ?POINT)))) | ||
| 5881 | 5902 | ||||
| 5882 | (=> | 5903 | (=> | ||
| 5883 | (and | 5904 | (and | ||
| 5884 | (resource ?PROC ?OBJ) | 5905 | (resource ?PROC ?OBJ) | ||
| 5885 | (holdsDuring (BeginFn (WhenFn ?PROC)) (measure ?OBJ ?QUANT1)) | 5906 | (holdsDuring (BeginFn (WhenFn ?PROC)) (measure ?OBJ ?QUANT1)) | ||
| 5886 | (holdsDuring (EndFn (WhenFn ?PROC)) (measure ?OBJ ?QUANT2))) | 5907 | (holdsDuring (EndFn (WhenFn ?PROC)) (measure ?OBJ ?QUANT2))) | ||
| 5887 | (greaterThan ?QUANT1 ?QUANT2)) | 5908 | (greaterThan ?QUANT1 ?QUANT2)) | ||
| 5888 | 5909 | ||||
| 5889 | (instance starts BinaryPredicate) | 5910 | (instance starts BinaryPredicate) | ||
| 5890 | (instance starts TransitiveRelation) | 5911 | (instance starts TransitiveRelation) | ||
| 5891 | (instance starts IrreflexiveRelation) | 5912 | (instance starts IrreflexiveRelation) | ||
| 5892 | (domain starts 1 TimeInterval) | 5913 | (domain starts 1 TimeInterval) | ||
| 5893 | (domain starts 2 TimeInterval) | 5914 | (domain starts 2 TimeInterval) | ||
| 5894 | (documentation starts "(&%starts ?INTERVAL1 ?INTERVAL2) means that | 5915 | (documentation starts "(&%starts ?INTERVAL1 ?INTERVAL2) means that | ||
| 5895 | ?INTERVAL1 and ?INTERVAL2 are both &%TimeIntervals that have the same | 5916 | ?INTERVAL1 and ?INTERVAL2 are both &%TimeIntervals that have the same | ||
| 5896 | initial &%TimePoint and that ?INTERVAL1 ends before ?INTERVAL2.") | 5917 | initial &%TimePoint and that ?INTERVAL1 ends before ?INTERVAL2.") | ||
| 5897 | 5918 | ||||
| 5898 | (<=> | 5919 | (<=> | ||
| 5899 | (starts ?INTERVAL1 ?INTERVAL2) | 5920 | (starts ?INTERVAL1 ?INTERVAL2) | ||
| 5900 | (and | 5921 | (and | ||
| 5901 | (equal | 5922 | (equal | ||
| 5902 | (BeginFn ?INTERVAL1) | 5923 | (BeginFn ?INTERVAL1) | ||
| 5903 | (BeginFn ?INTERVAL2)) | 5924 | (BeginFn ?INTERVAL2)) | ||
| 5904 | (before | 5925 | (before | ||
| 5905 | (EndFn ?INTERVAL1) | 5926 | (EndFn ?INTERVAL1) | ||
| 5906 | (EndFn ?INTERVAL2)))) | 5927 | (EndFn ?INTERVAL2)))) | ||
| 5907 | 5928 | ||||
| 5908 | (instance finishes BinaryPredicate) | 5929 | (instance finishes BinaryPredicate) | ||
| 5909 | (instance finishes TemporalRelation) | 5930 | (instance finishes TemporalRelation) | ||
| 5910 | (instance finishes TransitiveRelation) | 5931 | (instance finishes TransitiveRelation) | ||
| 5911 | (instance finishes IrreflexiveRelation) | 5932 | (instance finishes IrreflexiveRelation) | ||
| 5912 | (domain finishes 1 TimeInterval) | 5933 | (domain finishes 1 TimeInterval) | ||
| 5913 | (domain finishes 2 TimeInterval) | 5934 | (domain finishes 2 TimeInterval) | ||
| 5914 | (documentation finishes "(&%finishes ?INTERVAL1 ?INTERVAL2) means that | 5935 | (documentation finishes "(&%finishes ?INTERVAL1 ?INTERVAL2) means that | ||
| 5915 | ?INTERVAL1 and ?INTERVAL2 are both &%TimeIntervals that have the same | 5936 | ?INTERVAL1 and ?INTERVAL2 are both &%TimeIntervals that have the same | ||
| 5916 | ending &%TimePoint and that ?INTERVAL2 begins before ?INTERVAL1.") | 5937 | ending &%TimePoint and that ?INTERVAL2 begins before ?INTERVAL1.") | ||
| 5917 | 5938 | ||||
| 5918 | (<=> | 5939 | (<=> | ||
| 5919 | (finishes ?INTERVAL1 ?INTERVAL2) | 5940 | (finishes ?INTERVAL1 ?INTERVAL2) | ||
| 5920 | (and | 5941 | (and | ||
| 5921 | (before | 5942 | (before | ||
| 5922 | (BeginFn ?INTERVAL2) | 5943 | (BeginFn ?INTERVAL2) | ||
| 5923 | (BeginFn ?INTERVAL1)) | 5944 | (BeginFn ?INTERVAL1)) | ||
| 5924 | (equal | 5945 | (equal | ||
| 5925 | (EndFn ?INTERVAL2) | 5946 | (EndFn ?INTERVAL2) | ||
| 5926 | (EndFn ?INTERVAL1)))) | 5947 | (EndFn ?INTERVAL1)))) | ||
| 5927 | 5948 | ||||
| 5928 | (instance before TemporalRelation) | 5949 | (instance before TemporalRelation) | ||
| 5929 | (instance before IrreflexiveRelation) | 5950 | (instance before IrreflexiveRelation) | ||
| 5930 | (instance before TransitiveRelation) | 5951 | (instance before TransitiveRelation) | ||
| 5931 | (subrelation before beforeOrEqual) | 5952 | (subrelation before beforeOrEqual) | ||
| 5932 | (relatedInternalConcept before earlier) | 5953 | (relatedInternalConcept before earlier) | ||
| 5933 | (domain before 1 TimePoint) | 5954 | (domain before 1 TimePoint) | ||
| 5934 | (domain before 2 TimePoint) | 5955 | (domain before 2 TimePoint) | ||
| 5935 | (documentation before "(&%before ?POINT1 ?POINT2) means that ?POINT1 | 5956 | (documentation before "(&%before ?POINT1 ?POINT2) means that ?POINT1 | ||
| 5936 | precedes ?POINT2 on the universal timeline.") | 5957 | precedes ?POINT2 on the universal timeline.") | ||
| 5937 | 5958 | ||||
| 5938 | ;; An Object exists (and, hence, retains its identity) over time, i.e., | 5959 | ;; An Object exists (and, hence, retains its identity) over time, i.e., | ||
| 5939 | ;; an object exists at every point over some interval of time. | 5960 | ;; an object exists at every point over some interval of time. | ||
| 5940 | 5961 | ||||
| 5941 | (=> | 5962 | (=> | ||
| 5942 | (instance ?OBJ Object) | 5963 | (instance ?OBJ Object) | ||
| 5943 | (exists (?TIME1 ?TIME2) | 5964 | (exists (?TIME1 ?TIME2) | ||
| 5944 | (and | 5965 | (and | ||
| 5945 | (instance ?TIME1 TimePoint) | 5966 | (instance ?TIME1 TimePoint) | ||
| 5946 | (instance ?TIME2 TimePoint) | 5967 | (instance ?TIME2 TimePoint) | ||
| 5947 | (before ?TIME1 ?TIME2) | 5968 | (before ?TIME1 ?TIME2) | ||
| 5948 | (forall (?TIME) | 5969 | (forall (?TIME) | ||
| 5949 | (=> | 5970 | (=> | ||
| 5950 | (and | 5971 | (and | ||
| 5951 | (beforeOrEqual ?TIME1 ?TIME) | 5972 | (beforeOrEqual ?TIME1 ?TIME) | ||
| 5952 | (beforeOrEqual ?TIME ?TIME2)) | 5973 | (beforeOrEqual ?TIME ?TIME2)) | ||
| 5953 | (time ?OBJ ?TIME)))))) | 5974 | (time ?OBJ ?TIME)))))) | ||
| 5954 | 5975 | ||||
| 5955 | (=> | 5976 | (=> | ||
| 5956 | (result ?PROC ?OBJ) | 5977 | (result ?PROC ?OBJ) | ||
| 5957 | (forall (?TIME) | 5978 | (forall (?TIME) | ||
| 5958 | (=> | 5979 | (=> | ||
| 5959 | (before ?TIME (BeginFn (WhenFn ?PROC))) | 5980 | (before ?TIME (BeginFn (WhenFn ?PROC))) | ||
| 5960 | (not | 5981 | (not | ||
| 5961 | (time ?OBJ ?TIME))))) | 5982 | (time ?OBJ ?TIME))))) | ||
| 5962 | 5983 | ||||
| 5963 | (=> | 5984 | (=> | ||
| 5964 | (instance ?INTERVAL TimeInterval) | 5985 | (instance ?INTERVAL TimeInterval) | ||
| 5965 | (before (BeginFn ?INTERVAL) (EndFn ?INTERVAL))) | 5986 | (before (BeginFn ?INTERVAL) (EndFn ?INTERVAL))) | ||
| 5966 | 5987 | ||||
| 5967 | (instance beforeOrEqual BinaryPredicate) | 5988 | (instance beforeOrEqual BinaryPredicate) | ||
| 5968 | (instance beforeOrEqual TemporalRelation) | 5989 | (instance beforeOrEqual TemporalRelation) | ||
| 5969 | (instance beforeOrEqual PartialOrderingRelation) | 5990 | (instance beforeOrEqual PartialOrderingRelation) | ||
| 5970 | (domain beforeOrEqual 1 TimePoint) | 5991 | (domain beforeOrEqual 1 TimePoint) | ||
| 5971 | (domain beforeOrEqual 2 TimePoint) | 5992 | (domain beforeOrEqual 2 TimePoint) | ||
| 5972 | (documentation beforeOrEqual "(&%beforeOrEqual ?POINT1 ?POINT2) means that ?POINT1 | 5993 | (documentation beforeOrEqual "(&%beforeOrEqual ?POINT1 ?POINT2) means that ?POINT1 | ||
| 5973 | is identical with ?POINT2 or occurs before it on the universal timeline.") | 5994 | is identical with ?POINT2 or occurs before it on the universal timeline.") | ||
| 5974 | 5995 | ||||
| 5975 | (=> | 5996 | (=> | ||
| 5976 | (beforeOrEqual ?POINT1 ?POINT2) | 5997 | (beforeOrEqual ?POINT1 ?POINT2) | ||
| 5977 | (or | 5998 | (or | ||
| 5978 | (before ?POINT1 ?POINT2) | 5999 | (before ?POINT1 ?POINT2) | ||
| 5979 | (equal ?POINT1 ?POINT2))) | 6000 | (equal ?POINT1 ?POINT2))) | ||
| 5980 | 6001 | ||||
| 5981 | (instance temporallyBetween TemporalRelation) | 6002 | (instance temporallyBetween TemporalRelation) | ||
| 5982 | (instance temporallyBetween TernaryPredicate) | 6003 | (instance temporallyBetween TernaryPredicate) | ||
| 5983 | (subrelation temporallyBetween temporallyBetweenOrEqual) | 6004 | (subrelation temporallyBetween temporallyBetweenOrEqual) | ||
| 5984 | (domain temporallyBetween 1 TimePoint) | 6005 | (domain temporallyBetween 1 TimePoint) | ||
| 5985 | (domain temporallyBetween 2 TimePoint) | 6006 | (domain temporallyBetween 2 TimePoint) | ||
| 5986 | (domain temporallyBetween 3 TimePoint) | 6007 | (domain temporallyBetween 3 TimePoint) | ||
| 5987 | (documentation temporallyBetween "(&%temporallyBetween ?POINT1 ?POINT2 | 6008 | (documentation temporallyBetween "(&%temporallyBetween ?POINT1 ?POINT2 | ||
| 5988 | ?POINT3) means that the &%TimePoint ?POINT2 is between the &%TimePoints | 6009 | ?POINT3) means that the &%TimePoint ?POINT2 is between the &%TimePoints | ||
| 5989 | ?POINT1 and ?POINT3, i.e. ?POINT1 is before ?POINT2 and ?POINT2 is before | 6010 | ?POINT1 and ?POINT3, i.e. ?POINT1 is before ?POINT2 and ?POINT2 is before | ||
| 5990 | ?POINT3.") | 6011 | ?POINT3.") | ||
| 5991 | 6012 | ||||
| 5992 | (<=> | 6013 | (<=> | ||
| 5993 | (temporallyBetween ?POINT1 ?POINT2 ?POINT3) | 6014 | (temporallyBetween ?POINT1 ?POINT2 ?POINT3) | ||
| 5994 | (and | 6015 | (and | ||
| 5995 | (before ?POINT1 ?POINT2) | 6016 | (before ?POINT1 ?POINT2) | ||
| 5996 | (before ?POINT2 ?POINT3))) | 6017 | (before ?POINT2 ?POINT3))) | ||
| 5997 | 6018 | ||||
| 5998 | (instance temporallyBetweenOrEqual TemporalRelation) | 6019 | (instance temporallyBetweenOrEqual TemporalRelation) | ||
| 5999 | (instance temporallyBetweenOrEqual TernaryPredicate) | 6020 | (instance temporallyBetweenOrEqual TernaryPredicate) | ||
| 6000 | (domain temporallyBetweenOrEqual 1 TimePoint) | 6021 | (domain temporallyBetweenOrEqual 1 TimePoint) | ||
| 6001 | (domain temporallyBetweenOrEqual 2 TimePoint) | 6022 | (domain temporallyBetweenOrEqual 2 TimePoint) | ||
| 6002 | (domain temporallyBetweenOrEqual 3 TimePoint) | 6023 | (domain temporallyBetweenOrEqual 3 TimePoint) | ||
| 6003 | (documentation temporallyBetweenOrEqual "(&%temporallyBetweenOrEqual ?POINT1 ?POINT2 | 6024 | (documentation temporallyBetweenOrEqual "(&%temporallyBetweenOrEqual ?POINT1 ?POINT2 | ||
| 6004 | ?POINT3) means that the &%TimePoint ?POINT1 is before or equal to the | 6025 | ?POINT3) means that the &%TimePoint ?POINT1 is before or equal to the | ||
| 6005 | &%TimePoint ?POINT2 and ?POINT2 is before or equal to the &%TimePoint | 6026 | &%TimePoint ?POINT2 and ?POINT2 is before or equal to the &%TimePoint | ||
| 6006 | ?POINT3.") | 6027 | ?POINT3.") | ||
| 6007 | 6028 | ||||
| 6008 | (<=> | 6029 | (<=> | ||
| 6009 | (temporallyBetweenOrEqual ?POINT1 ?POINT2 ?POINT3) | 6030 | (temporallyBetweenOrEqual ?POINT1 ?POINT2 ?POINT3) | ||
| 6010 | (and | 6031 | (and | ||
| 6011 | (beforeOrEqual ?POINT1 ?POINT2) | 6032 | (beforeOrEqual ?POINT1 ?POINT2) | ||
| 6012 | (beforeOrEqual ?POINT2 ?POINT3))) | 6033 | (beforeOrEqual ?POINT2 ?POINT3))) | ||
| 6013 | 6034 | ||||
| 6014 | (<=> | 6035 | (<=> | ||
| 6015 | (and | 6036 | (and | ||
| 6016 | (time ?PHYS ?TIME) | 6037 | (time ?PHYS ?TIME) | ||
| 6017 | (instance ?TIME TimePoint)) | 6038 | (instance ?TIME TimePoint)) | ||
| 6018 | (temporallyBetweenOrEqual (BeginFn (WhenFn ?PHYS)) ?TIME (EndFn (WhenFn ?PHYS)))) | 6039 | (temporallyBetweenOrEqual (BeginFn (WhenFn ?PHYS)) ?TIME (EndFn (WhenFn ?PHYS)))) | ||
| 6019 | 6040 | ||||
| 6020 | (instance overlapsTemporally BinaryPredicate) | 6041 | (instance overlapsTemporally BinaryPredicate) | ||
| 6021 | (instance overlapsTemporally TemporalRelation) | 6042 | (instance overlapsTemporally TemporalRelation) | ||
| 6022 | (instance overlapsTemporally ReflexiveRelation) | 6043 | (instance overlapsTemporally ReflexiveRelation) | ||
| 6023 | (instance overlapsTemporally SymmetricRelation) | 6044 | (instance overlapsTemporally SymmetricRelation) | ||
| 6024 | (domain overlapsTemporally 1 TimeInterval) | 6045 | (domain overlapsTemporally 1 TimeInterval) | ||
| 6025 | (domain overlapsTemporally 2 TimeInterval) | 6046 | (domain overlapsTemporally 2 TimeInterval) | ||
| 6026 | (documentation overlapsTemporally "(&%overlapsTemporally ?INTERVAL1 | 6047 | (documentation overlapsTemporally "(&%overlapsTemporally ?INTERVAL1 | ||
| 6027 | ?INTERVAL2) means that the &%TimeIntervals ?INTERVAL1 and ?INTERVAL2 | 6048 | ?INTERVAL2) means that the &%TimeIntervals ?INTERVAL1 and ?INTERVAL2 | ||
| 6028 | have a &%TimeInterval as a common part.") | 6049 | have a &%TimeInterval as a common part.") | ||
| 6029 | 6050 | ||||
| 6030 | (<=> | 6051 | (<=> | ||
| 6031 | (overlapsTemporally ?INTERVAL1 ?INTERVAL2) | 6052 | (overlapsTemporally ?INTERVAL1 ?INTERVAL2) | ||
| 6032 | (exists (?INTERVAL3) | 6053 | (exists (?INTERVAL3) | ||
| 6033 | (and | 6054 | (and | ||
| 6034 | (instance ?INTERVAL3 TimeInterval) | 6055 | (instance ?INTERVAL3 TimeInterval) | ||
| 6035 | (temporalPart ?INTERVAL3 ?INTERVAL1) | 6056 | (temporalPart ?INTERVAL3 ?INTERVAL1) | ||
| 6036 | (temporalPart ?INTERVAL3 ?INTERVAL2)))) | 6057 | (temporalPart ?INTERVAL3 ?INTERVAL2)))) | ||
| 6037 | 6058 | ||||
| 6038 | (=> | 6059 | (=> | ||
| 6039 | (and | 6060 | (and | ||
| 6040 | (instance ?REL SpatialRelation) | 6061 | (instance ?REL SpatialRelation) | ||
| 6041 | (holds ?REL ?OBJ1 ?OBJ2)) | 6062 | (holds ?REL ?OBJ1 ?OBJ2)) | ||
| 6042 | (overlapsTemporally (WhenFn ?OBJ1) (WhenFn ?OBJ2))) | 6063 | (overlapsTemporally (WhenFn ?OBJ1) (WhenFn ?OBJ2))) | ||
| 6043 | 6064 | ||||
| 6044 | (subrelation during temporalPart) | 6065 | (subrelation during temporalPart) | ||
| 6045 | (instance during TransitiveRelation) | 6066 | (instance during TransitiveRelation) | ||
| 6046 | (instance during IrreflexiveRelation) | 6067 | (instance during IrreflexiveRelation) | ||
| 6047 | (subrelation during overlapsTemporally) | 6068 | (subrelation during overlapsTemporally) | ||
| 6048 | (domain during 1 TimeInterval) | 6069 | (domain during 1 TimeInterval) | ||
| 6049 | (domain during 2 TimeInterval) | 6070 | (domain during 2 TimeInterval) | ||
| 6050 | (documentation during "(&%during ?INTERVAL1 ?INTERVAL2) means that | 6071 | (documentation during "(&%during ?INTERVAL1 ?INTERVAL2) means that | ||
| 6051 | ?INTERVAL1 starts after and ends before ?INTERVAL2.") | 6072 | ?INTERVAL1 starts after and ends before ?INTERVAL2.") | ||
| 6052 | 6073 | ||||
| 6053 | (=> | 6074 | (=> | ||
| 6054 | (during ?INTERVAL1 ?INTERVAL2) | 6075 | (during ?INTERVAL1 ?INTERVAL2) | ||
| 6055 | (and | 6076 | (and | ||
| 6056 | (before (EndFn ?INTERVAL1) (EndFn ?INTERVAL2)) | 6077 | (before (EndFn ?INTERVAL1) (EndFn ?INTERVAL2)) | ||
| 6057 | (before (BeginFn ?INTERVAL2) (BeginFn ?INTERVAL1)))) | 6078 | (before (BeginFn ?INTERVAL2) (BeginFn ?INTERVAL1)))) | ||
| 6058 | 6079 | ||||
| 6059 | (instance meetsTemporally BinaryPredicate) | 6080 | (instance meetsTemporally BinaryPredicate) | ||
| 6060 | (instance meetsTemporally TemporalRelation) | 6081 | (instance meetsTemporally TemporalRelation) | ||
| 6061 | (instance meetsTemporally AsymmetricRelation) | 6082 | (instance meetsTemporally AsymmetricRelation) | ||
| 6062 | (instance meetsTemporally IntransitiveRelation) | 6083 | (instance meetsTemporally IntransitiveRelation) | ||
| 6063 | (domain meetsTemporally 1 TimeInterval) | 6084 | (domain meetsTemporally 1 TimeInterval) | ||
| 6064 | (domain meetsTemporally 2 TimeInterval) | 6085 | (domain meetsTemporally 2 TimeInterval) | ||
| 6065 | (documentation meetsTemporally "(&%meetsTemporally ?INTERVAL1 ?INTERVAL2) | 6086 | (documentation meetsTemporally "(&%meetsTemporally ?INTERVAL1 ?INTERVAL2) | ||
| 6066 | means that the terminal point of the &%TimeInterval ?INTERVAL1 is the | 6087 | means that the terminal point of the &%TimeInterval ?INTERVAL1 is the | ||
| 6067 | initial point of the &%TimeInterval ?INTERVAL2.") | 6088 | initial point of the &%TimeInterval ?INTERVAL2.") | ||
| 6068 | 6089 | ||||
| 6069 | (<=> | 6090 | (<=> | ||
| 6070 | (meetsTemporally ?INTERVAL1 ?INTERVAL2) | 6091 | (meetsTemporally ?INTERVAL1 ?INTERVAL2) | ||
| 6071 | (equal | 6092 | (equal | ||
| 6072 | (EndFn ?INTERVAL1) | 6093 | (EndFn ?INTERVAL1) | ||
| 6073 | (BeginFn ?INTERVAL2))) | 6094 | (BeginFn ?INTERVAL2))) | ||
| 6074 | 6095 | ||||
| 6075 | (=> | 6096 | (=> | ||
| 6076 | (and | 6097 | (and | ||
| 6077 | (equal | 6098 | (equal | ||
| 6078 | (BeginFn ?INTERVAL1) | 6099 | (BeginFn ?INTERVAL1) | ||
| 6079 | (BeginFn ?INTERVAL2)) | 6100 | (BeginFn ?INTERVAL2)) | ||
| 6080 | (equal | 6101 | (equal | ||
| 6081 | (EndFn ?INTERVAL1) | 6102 | (EndFn ?INTERVAL1) | ||
| 6082 | (EndFn ?INTERVAL2))) | 6103 | (EndFn ?INTERVAL2))) | ||
| 6083 | (equal ?INTERVAL1 ?INTERVAL2)) | 6104 | (equal ?INTERVAL1 ?INTERVAL2)) | ||
| 6084 | 6105 | ||||
| 6085 | (instance earlier BinaryPredicate) | 6106 | (instance earlier BinaryPredicate) | ||
| 6086 | (instance earlier TemporalRelation) | 6107 | (instance earlier TemporalRelation) | ||
| 6087 | (instance earlier TransitiveRelation) | 6108 | (instance earlier TransitiveRelation) | ||
| 6088 | (instance earlier IrreflexiveRelation) | 6109 | (instance earlier IrreflexiveRelation) | ||
| 6089 | (domain earlier 1 TimeInterval) | 6110 | (domain earlier 1 TimeInterval) | ||
| 6090 | (domain earlier 2 TimeInterval) | 6111 | (domain earlier 2 TimeInterval) | ||
| 6091 | (documentation earlier "(&%earlier ?INTERVAL1 ?INTERVAL2) means that | 6112 | (documentation earlier "(&%earlier ?INTERVAL1 ?INTERVAL2) means that | ||
| 6092 | the &%TimeInterval ?INTERVAL1 ends before the &%TimeInterval ?INTERVAL2 | 6113 | the &%TimeInterval ?INTERVAL1 ends before the &%TimeInterval ?INTERVAL2 | ||
| 6093 | begins.") | 6114 | begins.") | ||
| 6094 | 6115 | ||||
| 6095 | (<=> | 6116 | (<=> | ||
| 6096 | (earlier ?INTERVAL1 ?INTERVAL2) | 6117 | (earlier ?INTERVAL1 ?INTERVAL2) | ||
| 6097 | (before (EndFn ?INTERVAL1) (BeginFn ?INTERVAL2))) | 6118 | (before (EndFn ?INTERVAL1) (BeginFn ?INTERVAL2))) | ||
| 6098 | 6119 | ||||
| 6099 | (instance cooccur BinaryPredicate) | 6120 | (instance cooccur BinaryPredicate) | ||
| 6100 | (instance cooccur TemporalRelation) | 6121 | (instance cooccur TemporalRelation) | ||
| 6101 | (instance cooccur EquivalenceRelation) | 6122 | (instance cooccur EquivalenceRelation) | ||
| 6102 | (domain cooccur 1 Physical) | 6123 | (domain cooccur 1 Physical) | ||
| 6103 | (domain cooccur 2 Physical) | 6124 | (domain cooccur 2 Physical) | ||
| 6104 | (documentation cooccur "(&%cooccur ?THING1 ?THING2) means that the | 6125 | (documentation cooccur "(&%cooccur ?THING1 ?THING2) means that the | ||
| 6105 | &%Object or &%Process ?THING1 occurs at the same time as, together with, | 6126 | &%Object or &%Process ?THING1 occurs at the same time as, together with, | ||
| 6106 | or jointly with the &%Object or &%Process ?THING2. This covers the | 6127 | or jointly with the &%Object or &%Process ?THING2. This covers the | ||
| 6107 | following temporal relations: is co-incident with, is concurrent with, | 6128 | following temporal relations: is co-incident with, is concurrent with, | ||
| 6108 | is contemporaneous with, and is concomitant with.") | 6129 | is contemporaneous with, and is concomitant with.") | ||
| 6109 | 6130 | ||||
| 6110 | (<=> | 6131 | (<=> | ||
| 6111 | (cooccur ?PHYS1 ?PHYS2) | 6132 | (cooccur ?PHYS1 ?PHYS2) | ||
| 6112 | (equal (WhenFn ?PHYS1) (WhenFn ?PHYS2))) | 6133 | (equal (WhenFn ?PHYS1) (WhenFn ?PHYS2))) | ||
| 6113 | 6134 | ||||
| 6114 | ;; The following functions generate &%TimeIntervals. | 6135 | ;; The following functions generate &%TimeIntervals. | ||
| 6115 | 6136 | ||||
| 6116 | (instance TimeIntervalFn BinaryFunction) | 6137 | (instance TimeIntervalFn BinaryFunction) | ||
| 6117 | (instance TimeIntervalFn TemporalRelation) | 6138 | (instance TimeIntervalFn TemporalRelation) | ||
| 6118 | (domain TimeIntervalFn 1 TimePoint) | 6139 | (domain TimeIntervalFn 1 TimePoint) | ||
| 6119 | (domain TimeIntervalFn 2 TimePoint) | 6140 | (domain TimeIntervalFn 2 TimePoint) | ||
| 6120 | (range TimeIntervalFn TimeInterval) | 6141 | (range TimeIntervalFn TimeInterval) | ||
| 6121 | (documentation TimeIntervalFn "A &%BinaryFunction that takes two &%TimePoints | 6142 | (documentation TimeIntervalFn "A &%BinaryFunction that takes two &%TimePoints | ||
| 6122 | as arguments and returns the &%TimeInterval defined by these two &%TimePoints. | 6143 | as arguments and returns the &%TimeInterval defined by these two &%TimePoints. | ||
| 6123 | Note that the first &%TimePoint must occur earlier than the second &%TimePoint.") | 6144 | Note that the first &%TimePoint must occur earlier than the second &%TimePoint.") | ||
| 6124 | 6145 | ||||
| 6125 | (=> | 6146 | (=> | ||
| 6126 | (and | 6147 | (and | ||
| 6127 | (instance ?POINT1 TimePoint) | 6148 | (instance ?POINT1 TimePoint) | ||
| 6128 | (instance ?POINT2 TimePoint) | 6149 | (instance ?POINT2 TimePoint) | ||
| 6129 | (instance ?INTERVAL TimeInterval) | 6150 | (instance ?INTERVAL TimeInterval) | ||
| 6130 | (equal (TimeIntervalFn ?POINT1 ?POINT2) ?INTERVAL)) | 6151 | (equal (TimeIntervalFn ?POINT1 ?POINT2) ?INTERVAL)) | ||
| 6131 | (and | 6152 | (and | ||
| 6132 | (equal (BeginFn ?INTERVAL) ?POINT1) | 6153 | (equal (BeginFn ?INTERVAL) ?POINT1) | ||
| 6133 | (equal (EndFn ?INTERVAL) ?POINT2))) | 6154 | (equal (EndFn ?INTERVAL) ?POINT2))) | ||
| 6134 | 6155 | ||||
| 6135 | (=> | 6156 | (=> | ||
| 6136 | (and | 6157 | (and | ||
| 6137 | (instance ?POINT1 TimePoint) | 6158 | (instance ?POINT1 TimePoint) | ||
| 6138 | (instance ?POINT2 TimePoint) | 6159 | (instance ?POINT2 TimePoint) | ||
| 6139 | (instance ?INTERVAL TimeInterval) | 6160 | (instance ?INTERVAL TimeInterval) | ||
| 6140 | (equal (TimeIntervalFn ?POINT1 ?POINT2) ?INTERVAL)) | 6161 | (equal (TimeIntervalFn ?POINT1 ?POINT2) ?INTERVAL)) | ||
| 6141 | (forall (?POINT) | 6162 | (forall (?POINT) | ||
| 6142 | (<=> | 6163 | (<=> | ||
| 6143 | (temporallyBetweenOrEqual ?POINT1 ?POINT ?POINT2) | 6164 | (temporallyBetweenOrEqual ?POINT1 ?POINT ?POINT2) | ||
| 6144 | (temporalPart ?POINT ?INTERVAL)))) | 6165 | (temporalPart ?POINT ?INTERVAL)))) | ||
| 6145 | 6166 | ||||
| 6146 | (instance RecurrentTimeIntervalFn TemporalRelation) | 6167 | (instance RecurrentTimeIntervalFn TemporalRelation) | ||
| 6147 | (instance RecurrentTimeIntervalFn BinaryFunction) | 6168 | (instance RecurrentTimeIntervalFn BinaryFunction) | ||
| 6148 | (domainSubclass RecurrentTimeIntervalFn 1 TimeInterval) | 6169 | (domainSubclass RecurrentTimeIntervalFn 1 TimeInterval) | ||
| 6149 | (domainSubclass RecurrentTimeIntervalFn 2 TimeInterval) | 6170 | (domainSubclass RecurrentTimeIntervalFn 2 TimeInterval) | ||
| 6150 | (rangeSubclass RecurrentTimeIntervalFn TimeInterval) | 6171 | (rangeSubclass RecurrentTimeIntervalFn TimeInterval) | ||
| 6151 | (documentation RecurrentTimeIntervalFn "A function that is useful for generating | 6172 | (documentation RecurrentTimeIntervalFn "A function that is useful for generating | ||
| 6152 | recurring time intervals. For example, (&%RecurrentTimeIntervalFn (&%HourFn 6 &%Day) | 6173 | recurring time intervals. For example, (&%RecurrentTimeIntervalFn (&%HourFn 6 &%Day) | ||
| 6153 | (&%HourFn 12 &%Day)) returns the &%Class of &%TimeIntervals beginning at 6 in the | 6174 | (&%HourFn 12 &%Day)) returns the &%Class of &%TimeIntervals beginning at 6 in the | ||
| 6154 | morning and ending at 12 noon. For another example, (&%RecurrentTimeInterval | 6175 | morning and ending at 12 noon. For another example, (&%RecurrentTimeInterval | ||
| 6155 | &%Saturday &%Sunday) returns the &%Class of all weekends. For still another example, | 6176 | &%Saturday &%Sunday) returns the &%Class of all weekends. For still another example, | ||
| 6156 | (&%RecurrentTimeInterval &%June &%August) returns the &%Class containing the academic | 6177 | (&%RecurrentTimeInterval &%June &%August) returns the &%Class containing the academic | ||
| 6157 | summer period.") | 6178 | summer period.") | ||
| 6158 | 6179 | ||||
| 6159 | (=> | 6180 | (=> | ||
| 6160 | (instance ?INTERVAL (RecurrentTimeIntervalFn ?TIMECLASS1 ?TIMECLASS2)) | 6181 | (instance ?INTERVAL (RecurrentTimeIntervalFn ?TIMECLASS1 ?TIMECLASS2)) | ||
| 6161 | (exists (?TIME1 ?TIME2) | 6182 | (exists (?TIME1 ?TIME2) | ||
| 6162 | (and | 6183 | (and | ||
| 6163 | (instance ?TIME1 ?TIMECLASS1) | 6184 | (instance ?TIME1 ?TIMECLASS1) | ||
| 6164 | (instance ?TIME2 ?TIMECLASS2) | 6185 | (instance ?TIME2 ?TIMECLASS2) | ||
| 6165 | (starts ?TIME1 ?INTERVAL) | 6186 | (starts ?TIME1 ?INTERVAL) | ||
| 6166 | (finishes ?TIME2 ?INTERVAL)))) | 6187 | (finishes ?TIME2 ?INTERVAL)))) | ||
| 6167 | 6188 | ||||
| 6168 | (instance WhenFn TemporalRelation) | 6189 | (instance WhenFn TemporalRelation) | ||
| 6169 | (instance WhenFn UnaryFunction) | 6190 | (instance WhenFn UnaryFunction) | ||
| 6170 | (instance WhenFn TotalValuedRelation) | 6191 | (instance WhenFn TotalValuedRelation) | ||
| 6171 | (domain WhenFn 1 Physical) | 6192 | (domain WhenFn 1 Physical) | ||
| 6172 | (range WhenFn TimeInterval) | 6193 | (range WhenFn TimeInterval) | ||
| 6173 | (documentation WhenFn "A &%UnaryFunction that maps an &%Object or | 6194 | (documentation WhenFn "A &%UnaryFunction that maps an &%Object or | ||
| 6174 | &%Process to the exact &%TimeInterval during which it exists. Note | 6195 | &%Process to the exact &%TimeInterval during which it exists. Note | ||
| 6175 | that, for every &%TimePoint ?TIME outside of the &%TimeInterval | 6196 | that, for every &%TimePoint ?TIME outside of the &%TimeInterval | ||
| 6176 | (WhenFn ?THING), (time ?THING ?TIME) does not hold.") | 6197 | (WhenFn ?THING), (time ?THING ?TIME) does not hold.") | ||
| 6177 | 6198 | ||||
| 6178 | (instance PastFn TemporalRelation) | 6199 | (instance PastFn TemporalRelation) | ||
| 6179 | (instance PastFn UnaryFunction) | 6200 | (instance PastFn UnaryFunction) | ||
| 6180 | (instance PastFn TotalValuedRelation) | 6201 | (instance PastFn TotalValuedRelation) | ||
| 6181 | (domain PastFn 1 TimePosition) | 6202 | (domain PastFn 1 TimePosition) | ||
| 6182 | (range PastFn TimeInterval) | 6203 | (range PastFn TimeInterval) | ||
| 6183 | (documentation PastFn "A &%UnaryFunction that maps a &%TimePosition | 6204 | (documentation PastFn "A &%UnaryFunction that maps a &%TimePosition | ||
| 6184 | to the &%TimeInterval that meets it and that begins at | 6205 | to the &%TimeInterval that meets it and that begins at | ||
| 6185 | &%NegativeInfinity.") | 6206 | &%NegativeInfinity.") | ||
| 6186 | 6207 | ||||
| 6187 | (=> | 6208 | (=> | ||
| 6188 | (instance ?INTERVAL TimeInterval) | 6209 | (instance ?INTERVAL TimeInterval) | ||
| 6189 | (meetsTemporally (PastFn ?INTERVAL) ?INTERVAL)) | 6210 | (meetsTemporally (PastFn ?INTERVAL) ?INTERVAL)) | ||
| 6190 | 6211 | ||||
| 6191 | (=> | 6212 | (=> | ||
| 6192 | (instance ?INTERVAL TimeInterval) | 6213 | (instance ?INTERVAL TimeInterval) | ||
| 6193 | (equal (PastFn ?INTERVAL) (TimeIntervalFn NegativeInfinity (BeginFn ?INTERVAL)))) | 6214 | (equal (PastFn ?INTERVAL) (TimeIntervalFn NegativeInfinity (BeginFn ?INTERVAL)))) | ||
| 6194 | 6215 | ||||
| 6195 | (instance ImmediatePastFn TemporalRelation) | 6216 | (instance ImmediatePastFn TemporalRelation) | ||
| 6196 | (instance ImmediatePastFn UnaryFunction) | 6217 | (instance ImmediatePastFn UnaryFunction) | ||
| 6197 | (instance ImmediatePastFn TotalValuedRelation) | 6218 | (instance ImmediatePastFn TotalValuedRelation) | ||
| 6198 | (domain ImmediatePastFn 1 TimePosition) | 6219 | (domain ImmediatePastFn 1 TimePosition) | ||
| 6199 | (range ImmediatePastFn TimeInterval) | 6220 | (range ImmediatePastFn TimeInterval) | ||
| 6200 | (documentation ImmediatePastFn "A &%UnaryFunction that maps a | 6221 | (documentation ImmediatePastFn "A &%UnaryFunction that maps a | ||
| 6201 | &%TimePosition to a short, indeterminate &%TimeInterval that | 6222 | &%TimePosition to a short, indeterminate &%TimeInterval that | ||
| 6202 | immediately precedes the &%TimePosition.") | 6223 | immediately precedes the &%TimePosition.") | ||
| 6203 | 6224 | ||||
| 6204 | (=> | 6225 | (=> | ||
| 6205 | (instance ?INTERVAL TimeInterval) | 6226 | (instance ?INTERVAL TimeInterval) | ||
| 6206 | (finishes (ImmediatePastFn ?INTERVAL) (PastFn ?INTERVAL))) | 6227 | (finishes (ImmediatePastFn ?INTERVAL) (PastFn ?INTERVAL))) | ||
| 6207 | 6228 | ||||
| 6208 | (instance FutureFn TemporalRelation) | 6229 | (instance FutureFn TemporalRelation) | ||
| 6209 | (instance FutureFn UnaryFunction) | 6230 | (instance FutureFn UnaryFunction) | ||
| 6210 | (instance FutureFn TotalValuedRelation) | 6231 | (instance FutureFn TotalValuedRelation) | ||
| 6211 | (domain FutureFn 1 TimePosition) | 6232 | (domain FutureFn 1 TimePosition) | ||
| 6212 | (range FutureFn TimeInterval) | 6233 | (range FutureFn TimeInterval) | ||
| 6213 | (documentation FutureFn "A &%UnaryFunction that maps a &%TimePosition | 6234 | (documentation FutureFn "A &%UnaryFunction that maps a &%TimePosition | ||
| 6214 | to the &%TimeInterval which it meets and which ends at | 6235 | to the &%TimeInterval which it meets and which ends at | ||
| 6215 | &%PositiveInfinity.") | 6236 | &%PositiveInfinity.") | ||
| 6216 | 6237 | ||||
| 6217 | (=> | 6238 | (=> | ||
| 6218 | (instance ?INTERVAL TimeInterval) | 6239 | (instance ?INTERVAL TimeInterval) | ||
| 6219 | (meetsTemporally ?INTERVAL (FutureFn ?INTERVAL))) | 6240 | (meetsTemporally ?INTERVAL (FutureFn ?INTERVAL))) | ||
| 6220 | 6241 | ||||
| 6221 | (=> | 6242 | (=> | ||
| 6222 | (instance ?INTERVAL TimeInterval) | 6243 | (instance ?INTERVAL TimeInterval) | ||
| 6223 | (equal (FutureFn ?INTERVAL) (TimeIntervalFn (EndFn ?INTERVAL) PositiveInfinity))) | 6244 | (equal (FutureFn ?INTERVAL) (TimeIntervalFn (EndFn ?INTERVAL) PositiveInfinity))) | ||
| 6224 | 6245 | ||||
| 6225 | (instance ImmediateFutureFn TemporalRelation) | 6246 | (instance ImmediateFutureFn TemporalRelation) | ||
| 6226 | (instance ImmediateFutureFn UnaryFunction) | 6247 | (instance ImmediateFutureFn UnaryFunction) | ||
| 6227 | (instance ImmediateFutureFn TotalValuedRelation) | 6248 | (instance ImmediateFutureFn TotalValuedRelation) | ||
| 6228 | (domain ImmediateFutureFn 1 TimePosition) | 6249 | (domain ImmediateFutureFn 1 TimePosition) | ||
| 6229 | (range ImmediateFutureFn TimeInterval) | 6250 | (range ImmediateFutureFn TimeInterval) | ||
| 6230 | (documentation ImmediateFutureFn "A &%UnaryFunction that maps a | 6251 | (documentation ImmediateFutureFn "A &%UnaryFunction that maps a | ||
| 6231 | &%TimePosition to a short, indeterminate &%TimeInterval that | 6252 | &%TimePosition to a short, indeterminate &%TimeInterval that | ||
| 6232 | immediately follows the &%TimePosition.") | 6253 | immediately follows the &%TimePosition.") | ||
| 6233 | 6254 | ||||
| 6234 | (=> | 6255 | (=> | ||
| 6235 | (instance ?INTERVAL TimeInterval) | 6256 | (instance ?INTERVAL TimeInterval) | ||
| 6236 | (starts (ImmediateFutureFn ?INTERVAL) (FutureFn ?INTERVAL))) | 6257 | (starts (ImmediateFutureFn ?INTERVAL) (FutureFn ?INTERVAL))) | ||
| 6237 | 6258 | ||||
| 6238 | ;; The following definitions and axioms (down to the next section break) | 6259 | ;; The following definitions and axioms (down to the next section break) | ||
| 6239 | ;; cover the content in the Simple-Time ontology on the Ontolingua server. | 6260 | ;; cover the content in the Simple-Time ontology on the Ontolingua server. | ||
| 6240 | 6261 | ||||
| 6241 | (instance date BinaryPredicate) | 6262 | (instance date BinaryPredicate) | ||
| 6242 | (instance date SingleValuedRelation) | 6263 | (instance date SingleValuedRelation) | ||
| 6243 | (instance date AsymmetricRelation) | 6264 | (instance date AsymmetricRelation) | ||
| 6244 | (domain date 1 Physical) | 6265 | (domain date 1 Physical) | ||
| 6245 | (domain date 2 Day) | 6266 | (domain date 2 Day) | ||
| 6246 | (subrelation date time) | 6267 | (subrelation date time) | ||
| 6247 | (documentation date "A &%BinaryPredicate that specifies a | 6268 | (documentation date "A &%BinaryPredicate that specifies a | ||
| 6248 | &%TimePosition in absolute calendar time, at the resolution | 6269 | &%TimePosition in absolute calendar time, at the resolution | ||
| 6249 | of one day, for a particular &%Object or &%Process.") | 6270 | of one day, for a particular &%Object or &%Process.") | ||
| 6250 | 6271 | ||||
| 6251 | (instance YearFn TemporalRelation) | 6272 | (instance YearFn TemporalRelation) | ||
| 6252 | (instance YearFn UnaryFunction) | 6273 | (instance YearFn UnaryFunction) | ||
| 6253 | (domain YearFn 1 Integer) | 6274 | (domain YearFn 1 Integer) | ||
| 6254 | (rangeSubclass YearFn Year) | 6275 | (rangeSubclass YearFn Year) | ||
| 6255 | (documentation YearFn "A &%UnaryFunction that maps a number to the corresponding calendar | 6276 | (documentation YearFn "A &%UnaryFunction that maps a number to the corresponding calendar | ||
| 6256 | &%Year. For example, (&%YearFn 1912) returns the &%Class containing just one instance, | 6277 | &%Year. For example, (&%YearFn 1912) returns the &%Class containing just one instance, | ||
| 6257 | the year of 1912. As might be expected, positive integers return years in the Common Era, | 6278 | the year of 1912. As might be expected, positive integers return years in the Common Era, | ||
| 6258 | while negative integers return years in B.C.E. Note that this function returns a &%Class | 6279 | while negative integers return years in B.C.E. Note that this function returns a &%Class | ||
| 6259 | as a value. The reason for this is that the related functions, viz. &%MonthFn, &%DayFn, | 6280 | as a value. The reason for this is that the related functions, viz. &%MonthFn, &%DayFn, | ||
| 6260 | &%HourFn, &%MinuteFn, and &%SecondFn, are used to generate both specific &%TimeIntervals | 6281 | &%HourFn, &%MinuteFn, and &%SecondFn, are used to generate both specific &%TimeIntervals | ||
| 6261 | and recurrent intervals, and the only way to do this is to make the domains and ranges of | 6282 | and recurrent intervals, and the only way to do this is to make the domains and ranges of | ||
| 6262 | these functions classes rather than individuals.") | 6283 | these functions classes rather than individuals.") | ||
| 6263 | 6284 | ||||
| 6264 | (instance MonthFn TemporalRelation) | 6285 | (instance MonthFn TemporalRelation) | ||
| 6265 | (instance MonthFn BinaryFunction) | 6286 | (instance MonthFn BinaryFunction) | ||
| 6266 | (domainSubclass MonthFn 1 Month) | 6287 | (domainSubclass MonthFn 1 Month) | ||
| 6267 | (domainSubclass MonthFn 2 Year) | 6288 | (domainSubclass MonthFn 2 Year) | ||
| 6268 | (rangeSubclass MonthFn Month) | 6289 | (rangeSubclass MonthFn Month) | ||
| 6269 | (documentation MonthFn "A &%BinaryFunction that maps a subclass of &%Month and a | 6290 | (documentation MonthFn "A &%BinaryFunction that maps a subclass of &%Month and a | ||
| 6270 | subclass of &%Year to the class containing the &%Months corresponding to thos &%Years. | 6291 | subclass of &%Year to the class containing the &%Months corresponding to thos &%Years. | ||
| 6271 | For example (&%MonthFn &%January (&%YearFn 1912)) is the class containing the eighth | 6292 | For example (&%MonthFn &%January (&%YearFn 1912)) is the class containing the eighth | ||
| 6272 | &%Month, i.e. August, of the &%Year 1912. For another example, (&%MonthFn &%August | 6293 | &%Month, i.e. August, of the &%Year 1912. For another example, (&%MonthFn &%August | ||
| 6273 | &%Year) is equal to &%August, the class of all months of August. Note that this function | 6294 | &%Year) is equal to &%August, the class of all months of August. Note that this function | ||
| 6274 | returns a &%Class as a value. The reason for this is that the related functions, viz. | 6295 | returns a &%Class as a value. The reason for this is that the related functions, viz. | ||
| 6275 | DayFn, HourFn, MinuteFn, and SecondFn, are used to generate both specific &%TimeIntervals | 6296 | DayFn, HourFn, MinuteFn, and SecondFn, are used to generate both specific &%TimeIntervals | ||
| 6276 | and recurrent intervals, and the only way to do this is to make the domains and ranges of | 6297 | and recurrent intervals, and the only way to do this is to make the domains and ranges of | ||
| 6277 | these functions classes rather than individuals.") | 6298 | these functions classes rather than individuals.") | ||
| 6278 | 6299 | ||||
| 6279 | (instance DayFn TemporalRelation) | 6300 | (instance DayFn TemporalRelation) | ||
| 6280 | (instance DayFn BinaryFunction) | 6301 | (instance DayFn BinaryFunction) | ||
| 6281 | (domain DayFn 1 PositiveRealNumber) | 6302 | (domain DayFn 1 PositiveRealNumber) | ||
| 6282 | (domainSubclass DayFn 2 Month) | 6303 | (domainSubclass DayFn 2 Month) | ||
| 6283 | (rangeSubclass DayFn Day) | 6304 | (rangeSubclass DayFn Day) | ||
| 6284 | (documentation DayFn "A &%BinaryFunction that assigns a &%PositiveRealNumber and | 6305 | (documentation DayFn "A &%BinaryFunction that assigns a &%PositiveRealNumber and | ||
| 6285 | a subclass of &%Months to the &%Days within each &%Month corresponding to that | 6306 | a subclass of &%Months to the &%Days within each &%Month corresponding to that | ||
| 6286 | &%PositiveRealNumber. For example, (&%DayFn 16 &%August) is the &%Class of all | 6307 | &%PositiveRealNumber. For example, (&%DayFn 16 &%August) is the &%Class of all | ||
| 6287 | sixteenth days of August. For another example, (&%DayFn 9 &%Month) would return | 6308 | sixteenth days of August. For another example, (&%DayFn 9 &%Month) would return | ||
| 6288 | the class of all ninth days of any month. For still another example, (&%DayFn 18 | 6309 | the class of all ninth days of any month. For still another example, (&%DayFn 18 | ||
| 6289 | (&%MonthFn 8 (YearFn 1912))) denotes the 18th day of August 1912.") | 6310 | (&%MonthFn 8 (YearFn 1912))) denotes the 18th day of August 1912.") | ||
| 6290 | 6311 | ||||
| 6291 | (=> | 6312 | (=> | ||
| 6292 | (instance ?DAY (DayFn ?NUMBER ?MONTH)) | 6313 | (instance ?DAY (DayFn ?NUMBER ?MONTH)) | ||
| 6293 | (lessThanOrEqualTo ?NUMBER 31)) | 6314 | (lessThanOrEqualTo ?NUMBER 31)) | ||
| 6294 | 6315 | ||||
| 6295 | (=> | 6316 | (=> | ||
| 6296 | (and | 6317 | (and | ||
| 6297 | (instance ?DAY1 (DayFn ?NUMBER1 ?MONTH)) | 6318 | (instance ?DAY1 (DayFn ?NUMBER1 ?MONTH)) | ||
| 6298 | (instance ?DAY2 (DayFn ?NUMBER2 ?MONTH)) | 6319 | (instance ?DAY2 (DayFn ?NUMBER2 ?MONTH)) | ||
| 6299 | (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1)) | 6320 | (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1)) | ||
| 6300 | (meetsTemporally ?DAY1 ?DAY2)) | 6321 | (meetsTemporally ?DAY1 ?DAY2)) | ||
| 6301 | 6322 | ||||
| 6302 | (instance HourFn TemporalRelation) | 6323 | (instance HourFn TemporalRelation) | ||
| 6303 | (instance HourFn BinaryFunction) | 6324 | (instance HourFn BinaryFunction) | ||
| 6304 | (domain HourFn 1 PositiveRealNumber) | 6325 | (domain HourFn 1 PositiveRealNumber) | ||
| 6305 | (domainSubclass HourFn 2 Day) | 6326 | (domainSubclass HourFn 2 Day) | ||
| 6306 | (rangeSubclass HourFn Hour) | 6327 | (rangeSubclass HourFn Hour) | ||
| 6307 | (documentation HourFn "A &%BinaryFunction that assigns a &%PositiveRealNumber and | 6328 | (documentation HourFn "A &%BinaryFunction that assigns a &%PositiveRealNumber and | ||
| 6308 | a subclass of &%Days to the &%Hours within each &%Day corresponding to that | 6329 | a subclass of &%Days to the &%Hours within each &%Day corresponding to that | ||
| 6309 | &%PositiveRealNumber. For example, (&%HourFn 12 &%Thursday) is the &%Class of all | 6330 | &%PositiveRealNumber. For example, (&%HourFn 12 &%Thursday) is the &%Class of all | ||
| 6310 | instances of noon Thursday. For another example, (&%HourFn 24 &%Day) would return | 6331 | instances of noon Thursday. For another example, (&%HourFn 24 &%Day) would return | ||
| 6311 | the class of all instances of midnight. For still another example, (&%HourFn 14 | 6332 | the class of all instances of midnight. For still another example, (&%HourFn 14 | ||
| 6312 | (&%DayFn 18 (&%MonthFn 8 (YearFn 1912)))) denotes 2 PM on the 18th day of August | 6333 | (&%DayFn 18 (&%MonthFn 8 (YearFn 1912)))) denotes 2 PM on the 18th day of August | ||
| 6313 | 1912.") | 6334 | 1912.") | ||
| 6314 | 6335 | ||||
| 6315 | (=> | 6336 | (=> | ||
| 6316 | (instance ?HOUR (HourFn ?NUMBER ?DAY)) | 6337 | (instance ?HOUR (HourFn ?NUMBER ?DAY)) | ||
| 6317 | (lessThan ?NUMBER 24)) | 6338 | (lessThan ?NUMBER 24)) | ||
| 6318 | 6339 | ||||
| 6319 | (=> | 6340 | (=> | ||
| 6320 | (and | 6341 | (and | ||
| 6321 | (instance ?HOUR1 (HourFn ?NUMBER1 ?DAY)) | 6342 | (instance ?HOUR1 (HourFn ?NUMBER1 ?DAY)) | ||
| 6322 | (instance ?HOUR2 (HourFn ?NUMBER2 ?DAY)) | 6343 | (instance ?HOUR2 (HourFn ?NUMBER2 ?DAY)) | ||
| 6323 | (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1)) | 6344 | (equal (SubtractionFn ?NUMBER2 ?NUMBER1) 1)) | ||
| 6324 | (meetsTemporally ?HOUR1 ?HOUR2)) | 6345 | (meetsTemporally ?HOUR1 ?HOUR2)) | ||
| 6325 | 6346 | ||||
| 6326 | (instance MinuteFn TemporalRelation) | 6347 | (instance MinuteFn TemporalRelation) | ||
| 6327 | (instance MinuteFn BinaryFunction) | 6348 | (instance MinuteFn BinaryFunction) | ||
| 6328 | (domain MinuteFn 1 PositiveRealNumber) | 6349 | (domain MinuteFn 1 PositiveRealNumber) | ||
| 6329 | (domainSubclass MinuteFn 2 Hour) | 6350 | (domainSubclass MinuteFn 2 Hour) | ||
| 6330 | (rangeSubclass MinuteFn Minute) | 6351 | (rangeSubclass MinuteFn Minute) | ||
| 6331 | (documentation MinuteFn "A &%BinaryFunction that assigns a &%PositiveRealNumber and | 6352 | (documentation MinuteFn "A &%BinaryFunction that assigns a &%PositiveRealNumber and | ||
| 6332 | a subclass of &%Hours to the &%Minutes within each &%Hour corresponding to that | 6353 | a subclass of &%Hours to the &%Minutes within each &%Hour corresponding to that | ||
| 6333 | &%PositiveRealNumber. For example, (&%MinuteFn 30 (&%HourFn 17 &%Day)) is the &%Class | 6354 | &%PositiveRealNumber. For example, (&%MinuteFn 30 (&%HourFn 17 &%Day)) is the &%Class | ||
| 6334 | of all 5:30's in the afternoon. For another example, (&%MinuteFn 15 &%Hour) would return | 6355 | of all 5:30's in the afternoon. For another example, (&%MinuteFn 15 &%Hour) would return | ||
| 6335 | the class of all instances of quarter past the hour. For still another example, | 6356 | the class of all instances of quarter past the hour. For still another example, | ||
| 6336 | (&%MinuteFn 15 (&%HourFn 14 (&%DayFn 18 (&%MonthFn 8 (YearFn 1912))))) denotes 15 | 6357 | (&%MinuteFn 15 (&%HourFn 14 (&%DayFn 18 (&%MonthFn 8 (YearFn 1912))))) denotes 15 | ||
| 6337 | minutes after 2 PM on the 18th day of August 1912.") | 6358 | minutes after 2 PM on the 18th day of August 1912.") | ||
| 6338 | 6359 | ||||
| 6339 | (=> | 6360 | (=> | ||
| 6340 | (instance ?MINUTE (MinuteFn ?NUMBER ?HOUR)) | 6361 | (instance ?MINUTE (MinuteFn ?NUMBER ?HOUR)) | ||
| 6341 | (lessThan ?NUMBER 60)) | & |