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  AntisymmetricRelation

Sigma KEE - AntisymmetricRelation
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antisymmetric relation
BinaryRelation ?REL is an AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical. Note that it is possible for an AntisymmetricRelation to be a ReflexiveRelation.
Relationships      
Parents binary relation BinaryRelations are relations that are true only of pairs of things. BinaryRelations are represented as slots in frame systems.
Children asymmetric relationA BinaryRelation is asymmetric if and only if it is both an AntisymmetricRelation and an IrreflexiveRelation.
 partial ordering relationA BinaryRelation is a partial ordering if it is a ReflexiveRelation, an AntisymmetricRelation, and a TransitiveRelation.


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