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Sigma KEE  TransitiveRelation
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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.
Relationships
Parents
binary relation
BinaryRelation
s are relations that are true only of pairs of things.
BinaryRelation
s are represented as slots in frame systems.
Children
equivalence relation
A
BinaryRelation
is an equivalence relation if it is a
ReflexiveRelation
, a
SymmetricRelation
, and a
TransitiveRelation
.
partial ordering relation
A
BinaryRelation
is a partial ordering if it is a
ReflexiveRelation
, an
AntisymmetricRelation
, and a
TransitiveRelation
.
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