Questionnaire-2024/predicate_logic/0003_sol.tex

\begin{enumerate}
    \item $x \land y \land z$ \\
          $x \ldots $ the construction side takes a long time \\
          $y \ldots $ the construction side is noisy \\
          $z \ldots $ the construction side blocks the sun \\
    \item $\lnot a \imp \forall x \exists y \big(K(x) \land P(x,y) \imp V(y) \land \lnot W(y)\big)$ \\
          $a \ldots $ there is school \\
          $K(x) \ldots x$ is a kid \\
          $P(x,y) \ldots y$ is parent of $x$\\
          $V(x) \ldots x $ takes vacation \\
          $W(x) \ldots x $ goes to work \\
	      $\mathcal{A} = \text{$people$}$ \\
    \item $\forall x \big(S(x) \imp E(x) \big)$ \\
    	  $S(x) \ldots x$ is a student \\
	      $E(x) \ldots x$ takes the exam \\
        $\mathcal{A} = \text{People}$
\end{enumerate}