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23 lines
640 B
23 lines
640 B
\item
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\ifassignmentsheet \point{1}
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\else \prac
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\fi
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Consider the sentence $\phi = \exists x \forall y (P(x,y) \implies (Q(x,y) \lor R(x,y)))$.
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Does the following model satisfy $\phi$?
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The model $M$ consists of:
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\begin{itemize}
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\item $A = \{a, b, c\} $
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\item $P^{M} = \{(a,a), (a,b), (b,a), (b,b), (c,a), (c,b)\}$
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\item $Q^{M} = \{(a,m) | m \in A \}$
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\item $R^{M} = \{(a,a), (b,a), (a,c), (b,c), (c,c)\}$
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\end{itemize}
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% \item The model $M'$ consists of:
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%\begin{itemize}
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%\item $A = \mathbb{Z} $
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%\item $P^{M} = \{(m,n) | m \ge n \}$
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%\item $Q^{M} = \{(m,n) | m \le n \}$
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%\item $R^{M} = \{(m,n) | m = -n \}$
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%\end{itemize}
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