You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
23 lines
504 B
23 lines
504 B
\item
|
|
\ifassignmentsheet \points{2} \fi
|
|
Given 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.
|