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typst/lec-logic.typ

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== Semantic Entailment
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#definition[
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A set of formulas $Gamma$ _semantically entails_ (or _logically implies_) a formula $phi$, written $Gamma models phi$, if every interpretation that satisfies all formulas in $Gamma$ also satisfies $phi$:
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A set of formulas $Gamma$ _semantically entails_ (or _logically implies_) a formula $phi$, written #box[$Gamma models phi$], if every interpretation that satisfies all formulas in $Gamma$ also satisfies $phi$:
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$
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Gamma models phi
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quad "iff" quad

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