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Questionnaire-2024/predicate_logic/0014.tex

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added predlogic chapter
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  1. \item \lect Consider the formula $$\phi = \exists x \forall y \; \big( P(x,y) \imp (Q(x,y) \lor R(x,y))\big).$$
  2. Does the following model $\mathcal{M}$ satisfy the formula? \\
  3. $\mathcal{A} = \{a,b\}$ \\
  4. $P^\mathcal{M} = \{(a,a),(a,b)\}$ \\
  5. $Q^\mathcal{M} = \{(a,a),(b,a)\}$\\
  6. $R^\mathcal{M} = \{(a,a),(b,b)\}$