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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > AsymmetricRelation > valence
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valence
subjectfact 
valencedocumentation Specifies the number of arguments that a relation can take. If a relation does not have a fixed number of arguments, it does not have a valence and it is an instance of VariableArityRelation. For example, holds is a VariableArityRelation2001-11-30 13:35:31.0
has arg2 valence singleValued2001-11-30 13:35:31.0
has axiom
(=>
(instance ?REL VariableArityRelation)
(not
(exists (?INT)
(valence ?REL ?INT))))
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has axiom
(=>
(instance ?FUNCTION UnaryFunction)
(valence ?FUNCTION 1))
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has axiom
(=>
(subrelation ?PRED1 ?PRED2)
(exists (?NUMBER)
(and
(valence ?PRED1 ?NUMBER)
(valence ?PRED2 ?NUMBER))))
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has axiom
(=>
(instance ?FUNCTION BinaryFunction)
(valence ?FUNCTION 2))
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has axiom
(=>
(instance ?FUNCTION TernaryFunction)
(valence ?FUNCTION 3))
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has axiom
(=>
(instance ?REL BinaryPredicate)
(valence ?REL 2))
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has axiom
(=>
(instance ?REL QuaternaryPredicate)
(valence ?REL 4))
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has axiom
(=>
(instance ?REL QuintaryPredicate)
(valence ?REL 5))
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has axiom
(=>
(instance ?REL TernaryPredicate)
(valence ?REL 3))
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has domain1 Relation2001-11-30 13:35:31.0
has domain2 PositiveInteger2001-11-30 13:35:31.0
is an instance of AsymmetricRelation2001-11-30 13:35:31.0
is an instance of BinaryPredicate2001-11-30 13:35:32.0
BinaryRelationis first domain of DomainFn2001-11-30 13:33:44.0
is first domain of equivalenceRelationOn2001-11-30 13:33:44.0
is first domain of inverse2001-11-30 13:33:44.0
is first domain of irreflexiveOn2001-11-30 13:33:44.0
is first domain of partialOrderingOn2001-11-30 13:33:44.0
is first domain of RangeFn2001-11-30 13:33:44.0
is first domain of reflexiveOn2001-11-30 13:33:44.0
is first domain of totalOrderingOn2001-11-30 13:33:44.0
is first domain of trichotomizingOn2001-11-30 13:33:44.0
is second domain of inverse2001-11-30 13:33:44.0
Predicateis first domain of singleValued2001-11-30 13:35:02.0
Classis third domain of domain2001-11-30 13:33:51.0
is third domain of domainSubclass2001-11-30 13:33:51.0
Abstractis disjoint from Physical2001-11-30 13:33:32.0

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