Questionnaire-2024/predicate_logic/0002_sol.tex

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

\begin{enumerate}
    \item $\forall x \big(A(x) \imp \lnot S(x) \big)$ \\
    	  $A(x) \ldots $ $x$ is Alice \\
	      $S(x) \ldots $ $x$ has a sister \\
    \item $\forall x \big(C(x) \imp K(x) \lor Q(x) \big)$ \\
    	  $C(x) \ldots $ $x$ wears a crown \\
	      $K(x) \ldots $ $x$ is a king \\
	      $Q(x) \ldots $ $x$ is a queen \\
	\item $\lnot \forall x \forall y \big(L(x,y) \big)$ \\
          $L(x, y) \ldots $ $x$ likes $y$ \\
	\item $\forall x \exists y \big(L(x,y) \big)$ \\
          $L(x, y) \ldots $ $x$ loves $y$
\end{enumerate}