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KB Term:  Term intersection
English Word: 

Sigma KEE - Relation
Relation

appearance as argument number 1
-------------------------


(disjointDecomposition Relation BinaryRelation TernaryRelation QuaternaryRelation QuintaryRelation VariableArityRelation) Merge.kif 2067-2068 disjointDecomposition Relation, BinaryRelation, TernaryRelation, QuaternaryRelation, QuintaryRelation and VariableArityRelation
(documentation Relation ChineseLanguage "这是关系的 Class。现有三类的 Relation: PredicateFunctionListPredicateFunction 皆表示有序的n元组集合, 这两个 Class 的差别在于 Predicate 包括组成公式的运算符,而Function 则包括组成 术语的运算符,而一个 List 却是一个特定的有序n元组。") chinese_format.kif 1816-1819
(documentation Relation EnglishLanguage "The Class of relations. There are three kinds of Relation: Predicate, Function, and List. Predicates and Functions both denote sets of ordered n-tuples. The difference between these two Classes is that Predicates cover formula-forming operators, while Functions cover term-forming operators. A List, on the other hand, is a particular ordered n-tuple.") Merge.kif 2071-2076
(partition Relation Predicate Function List) Merge.kif 2068-2068 partition Relation, Predicate, Function and List
(partition Relation TotalValuedRelation PartialValuedRelation) Merge.kif 2069-2069 partition Relation, TotalValuedRelation and PartialValuedRelation
(subclass Relation Abstract) Merge.kif 2066-2066 subclass Relation and Abstract

appearance as argument number 2
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(subclass BinaryRelation Relation) Merge.kif 2138-2138 subclass BinaryRelation and Relation
(subclass InheritableRelation Relation) Merge.kif 2458-2458 subclass InheritableRelation and Relation
(subclass IntentionalRelation Relation) Merge.kif 2572-2572 subclass IntentionalRelation and Relation
(subclass List Relation) Merge.kif 2764-2764 subclass List and Relation
(subclass PPPBasedEconomicValuation Relation) Economy.kif 961-961 subclass PPPBasedEconomicValuation and Relation
(subclass PartialValuedRelation Relation) Merge.kif 2129-2129 subclass PartialValuedRelation and Relation
(subclass Predicate Relation) Merge.kif 3096-3096 subclass Predicate and Relation
(subclass ProbabilityRelation Relation) Merge.kif 2464-2464 subclass ProbabilityRelation and Relation
(subclass QuaternaryRelation Relation) Merge.kif 2750-2750 subclass QuaternaryRelation and Relation
(subclass QuintaryRelation Relation) Merge.kif 2757-2757 subclass QuintaryRelation and Relation
(subclass RelationExtendedToQuantities Relation) Merge.kif 3288-3288 subclass RelationExtendedToQuantities and Relation
(subclass SingleValuedRelation Relation) Merge.kif 2083-2083 subclass SingleValuedRelation and Relation
(subclass SpatialRelation Relation) Merge.kif 2557-2557 subclass SpatialRelation and Relation
(subclass TemporalRelation Relation) Merge.kif 2564-2564 subclass TemporalRelation and Relation
(subclass TernaryRelation Relation) Merge.kif 2743-2743 subclass TernaryRelation and Relation
(subclass TotalValuedRelation Relation) Merge.kif 2101-2101 subclass TotalValuedRelation and Relation
(subclass VariableArityRelation Relation) Merge.kif 3277-3277 subclass VariableArityRelation and Relation
(termFormat ChineseLanguage Relation "关系") chinese_format.kif 888-888 termFormat ChineseLanguage, Relation and "关系"
(termFormat EnglishLanguage Relation "relation") english_format.kif 983-983 termFormat EnglishLanguage, Relation and "relation"

appearance as argument number 3
-------------------------


(domain disjointRelation 1 Relation) Merge.kif 411-411 domain disjointRelation, 1 and Relation
(domain disjointRelation 2 Relation) Merge.kif 412-412 domain disjointRelation, 2 and Relation
(domain domain 1 Relation) Merge.kif 206-206 domain domain, 1 and Relation
(domain domainSubclass 1 Relation) Merge.kif 228-228 domain domainSubclass, 1 and Relation
(domain exactCardinality 1 Relation) Media.kif 2071-2071 domain exactCardinality, 1 and Relation
(domain maxCardinality 1 Relation) Media.kif 2189-2189 domain maxCardinality, 1 and Relation
(domain minCardinality 1 Relation) Media.kif 2153-2153 domain minCardinality, 1 and Relation
(domain subrelation 1 Relation) Merge.kif 169-169 domain subrelation, 1 and Relation
(domain subrelation 2 Relation) Merge.kif 170-170 domain subrelation, 2 and Relation
(domain valence 1 Relation) Merge.kif 360-360 domain valence, 1 and Relation

appearance as argument number 5
-------------------------


(disjointDecomposition Abstract Quantity Attribute SetOrClass Relation Proposition) Merge.kif 1577-1577 disjointDecomposition Abstract, Quantity, Attribute, SetOrClass, Relation and Proposition

consequent
-------------------------


(<=>
    (and
        (instance ?REL TotalValuedRelation)
        (instance ?REL Predicate))
    (exists (?VALENCE)
        (and
            (instance ?REL Relation)
            (valence ?REL ?VALENCE)
            (=>
                (forall (?NUMBER ?ELEMENT ?CLASS)
                    (=>
                        (and
                            (lessThan ?NUMBER ?VALENCE)
                            (domain ?REL ?NUMBER ?CLASS)
                            (equal ?ELEMENT
                                (ListOrderFn
                                    (ListFn @ROW) ?NUMBER)))
                        (instance ?ELEMENT ?CLASS)))
                (exists (?ITEM)
                    (?REL @ROW ?ITEM))))))
Merge.kif 2110-2127 instance Relation and TotalValuedRelation instance Relation and Predicate PositiveInteger instance Relation and Relation valence Relation and PositiveInteger


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