When talking about relations, we know that the relation is anti-symmetric if "for all x: for all y: R(x,y) AND R(y,x) IMPLIES (x=y)". But can i rewrite this as "for all x: for all y: R(x,y) EXCLUSIVE OR R(y,x)"? Because don't both of them mean "no 2 way arrows"?
2026-04-06 09:46:44.1775468804
Relations and quantifiers
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