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-0,0 +1,17 @@ +Semantics of FOL +-- graph theory +-- \Sigma \entails \alpha +-- Lemma : two assignments agree on FV(\alpha) in a structure L, + then M \entails \alpha under s_1 + iff + M \entails \alpha under s_1 +-- Proof of lemma : terms, atomic formuals. +-- Examples : +-- L =(R(,)) + M1=(\nat, <) + M2=(\nat, divides) + M3=(pow(nat), \subset) + formulas : R(x,y) + : \exists x \forall y (R(x,y)). + +