Questionnaire-2024/predicate_logic/0004_sol.tex

$\mathcal{A} = \text{People}$ \\

\begin{enumerate}
    \item $\forall x \big(K(x) \land G(x) \imp \forall y \big(P(y) \land H(y) \big) \big)$ \\
          $K(x) \ldots x $ is a kid \\
          $G(x) \ldots x $ wears gloves \\
          $P(x) \ldots x $ is a parent \\
          $H(x) \ldots x $ is happy \\
    \item $\forall x \big(K(x) \imp P(x) \land S(x) \big)$ \\
          $K(x) \ldots x $ is a kid \\
          $P(x) \ldots x $ loves pizza \\
          $S(x) \ldots x $ loves spaghetti \\
    \item $\forall x \big(K(x) \imp F(x) \land E(x) \land \lnot S(x) \big)$ \\
          $K(x) \ldots x $ is a kid \\
          $F(x) \ldots x $ is fun \\
          $E(x) \ldots x $ is energetic \\
          $S(x) \ldots x $ can sit still
\end{enumerate}