Logicandapplications2023/summary.txt

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2023-10-16 15:39:20 +05:30
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)).