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Sigma KEE  EquivalenceRelation
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equivalence relation
A
BinaryRelation
is an equivalence relation if it is a
ReflexiveRelation
, a
SymmetricRelation
, and a
TransitiveRelation
.
Relationships
Parents
reflexive relation
Relation
?REL is reflexive iff (?REL ?INST ?INST) for all ?INST.
symmetric relation
A
BinaryRelation
?REL is symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST2.
transitive relation
A
BinaryRelation
?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.
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