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Sigma KEE - Relation
Relation(relation)accompany, active, active_voice, affiliated, affinity, agreement, alliance, antipode, antithesis, applicability, apposition, arithmetic, arithmetical, arithmetically, aspect, associability, associableness, asymptotically, attach_to, attached, average, bearing, bilinear, bivariate, bond, case_agreement, caught_up, cogency, come_with, commensalism, common_mood, complementarity, complementation, comprehension, concatenation, concerned, concord, conformance, conformity, congener, connected, connectedness, connection, connexion, continuous_tense, coordination, correlate, correlated, correlation, correlational...

appearance as argument number 1
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(disjointDecomposition Relation BinaryRelation TernaryRelation QuaternaryRelation QuintaryRelation VariableArityRelation) Merge.kif 3515-3516 Relation is disjointly decomposed into binary relation, ternary relation, quaternary relation, quintary relation, and variable arity relation
(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。") Merge.kif 3526-3529
(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 3519-3524
(documentation Relation JapaneseLanguage "関係の ClassRelation には、PredicateFunction、と List の3種類がある。 %Predicate と Function の両方が、順序付けされた n タプ ルのセットを示す。これら2つの Class の違いは、Predicate カバー式形成演算子、Function カ バー用語形成演算子である。一方、List は特定の順序付けされた n タプルである。") Merge.kif 3531-3534
(partition Relation Predicate Function List) Merge.kif 3516-3516 Relation is exhaustively partitioned into predicate, function, and list
(partition Relation TotalValuedRelation PartialValuedRelation) Merge.kif 3517-3517 Relation is exhaustively partitioned into total valued relation and partial valued relation
(subclass Relation Abstract) Merge.kif 3514-3514 Relation is a subclass of abstract

appearance as argument number 2
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(subclass BinaryRelation Relation) Merge.kif 3627-3627 Binary relation is a subclass of relation
(subclass InheritableRelation Relation) Merge.kif 4140-4140 Inheritable relation is a subclass of relation
(subclass IntentionalRelation Relation) Merge.kif 4322-4322 Intentional relation is a subclass of relation
(subclass List Relation) Merge.kif 4613-4613 List is a subclass of relation
(subclass PPPBasedEconomicValuation Relation) Economy.kif 961-961 PPP based economic valuation is a subclass of relation
(subclass PartialValuedRelation Relation) Merge.kif 3607-3607 Partial valued relation is a subclass of relation
(subclass Predicate Relation) Merge.kif 5043-5043 Predicate is a subclass of relation
(subclass ProbabilityRelation Relation) Merge.kif 4153-4153 Probability relation is a subclass of relation
(subclass QuaternaryRelation Relation) Merge.kif 4585-4585 Quaternary relation is a subclass of relation
(subclass QuintaryRelation Relation) Merge.kif 4599-4599 Quintary relation is a subclass of relation
(subclass RelationExtendedToQuantities Relation) Merge.kif 5345-5345 Relation extended to quantities is a subclass of relation
(subclass SingleValuedRelation Relation) Merge.kif 3542-3542 Single valued relation is a subclass of relation
(subclass SpatialRelation Relation) Merge.kif 4295-4295 Spatial relation is a subclass of relation
(subclass TemporalRelation Relation) Merge.kif 4308-4308 Temporal relation is a subclass of relation
(subclass TernaryRelation Relation) Merge.kif 4572-4572 Ternary relation is a subclass of relation
(subclass TotalValuedRelation Relation) Merge.kif 3569-3569 Total valued relation is a subclass of relation
(subclass VariableArityRelation Relation) Merge.kif 5328-5328 Variable arity relation is a subclass of relation
(termFormat ChineseLanguage Relation "关系") chinese_format.kif 888-888 "关系" is the printable form of relation in ChineseLanguage
(termFormat EnglishLanguage Relation "relation") english_format.kif 1357-1357 "relation" is the printable form of relation in english language
(termFormat JapaneseLanguage Relation "関係") english_format.kif 1358-1358 "関係" is the printable form of relation in japanese language

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


(domain disjointRelation 1 Relation) Merge.kif 611-611 The number 1 argument of disjoint relation is an instance of relation
(domain disjointRelation 2 Relation) Merge.kif 612-612 The number 2 argument of disjoint relation is an instance of relation
(domain domain 1 Relation) Merge.kif 288-288 The number 1 argument of domain is an instance of relation
(domain domainSubclass 1 Relation) Merge.kif 336-336 The number 1 argument of domain subclass is an instance of relation
(domain exactCardinality 1 Relation) Media.kif 2071-2071 The number 1 argument of exactCardinality is an instance of relation
(domain maxCardinality 1 Relation) Media.kif 2189-2189 The number 1 argument of maxCardinality is an instance of relation
(domain minCardinality 1 Relation) Media.kif 2153-2153 The number 1 argument of minCardinality is an instance of relation
(domain subrelation 1 Relation) Merge.kif 234-234 The number 1 argument of subrelation is an instance of relation
(domain subrelation 2 Relation) Merge.kif 235-235 The number 2 argument of subrelation is an instance of relation
(domain valence 1 Relation) Merge.kif 511-511 The number 1 argument of valence is an instance of relation

appearance as argument number 5
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(disjointDecomposition Abstract Quantity Attribute SetOrClass Relation Proposition) Merge.kif 2693-2693 Abstract is disjointly decomposed into quantity, attribute, set or class, 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 3588-3605 A relation is an instance of total valued relation and the relation is an instance of predicate if and only if there exists a positive integer such that the relation is an instance of relation and the relation %&has the positive integer argument(s) and


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