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symmetrical relationships are those hold for a and b, and also for b and a.
if a r b => b r a
asymmetric反对称关系
if a r b => not[b r a]
antisymmetric非对称关系
transitive传递关系
negatively transitive或intransitive反传递关系
non-transitive非传递关系neither transitive nor intransitive
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