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KB Term:
Sigma KEE - AntisymmetricRelation
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反対称関係
BinaryRelation
?REL は、明確な ?INST1 および ?INST2 の場合は AR であり、(?REL ?INST1 ?INST2) は (?REL ?INST2 ?INST1) を意味 しない。つまり、すべての ?INST1 および ?INST2 に対して (?REL ?INST1 ?INST2) および (?REL ?INST2 ?INST1) は、?INST1 と ?INST2 が同一であることを意味する。 注:
AntisymmetricRelation
が
ReflexiveRelation
になる可能性がある。
Relationships
Parents
2項関係
BinaryRelation
s are relations that are true only of pairs of things.
BinaryRelation
s are represented as slots in frame systems.
Children
非対称関係
A
BinaryRelation
is asymmetric if and only if it is both an
AntisymmetricRelation
and an
IrreflexiveRelation
.
半順序関係
A
BinaryRelation
is a partial ordering if it is a
ReflexiveRelation
, an
AntisymmetricRelation
, and a
TransitiveRelation
.
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Sigma version 3.0 is
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