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.
 
 

6 lines
356 B

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