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\item \ifassignmentsheet \points{2} \fiGiven is the following formula in predicate logic$$\phi = \exists x \forall y \Bigl(
\bigl(P(x,y) \implies Q(x,y)\bigr)\vee\bigl(P(y, x) \implies R(x,y)\bigr)\Bigr) $$
and the model $\mathcal{M}$:
\begin{itemize}\item $\mathcal{A} = \{a, b\} $\item $P^{M} = \{(a,b), (b,b), (b,a)\}$\item $Q^{M} = \{(a,a)\}$\item $R^{M} = \{(b,b)\}$\end{itemize}
Does the model $\mathcal{M}$ satisfy the formula $\phi$?Evaluate $\Model$ using a syntax tree.
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