Questionnaire-2024/symbolic_encoding/practical_questions/2_05_symbrep_self.tex

\item \self Let $x$ and $y$ be the symbolic representations of the sets $X$ and
    $Y$ respectively, and let $\alpha$ be the symbolic encoding of an
    element $a$. Consider the following operations and relations
    between $x$, $y$, and $\alpha$:

\begin{enumerate}[A.]
\item $x \rightarrow y$
\item $\alpha \models x$ ?
\item $x \wedge \neg y$
\item $\alpha \nvDash y$ ?
\item $x \equiv \bot$ ?
\item $x \vee y$
\end{enumerate}

For each of the following items, state which of the above operations
symbolically performs the respective set operation or answers the
respective set-specific question. Write the letters of the
corresponding operation/question into the boxes of the items below.
Note that some of the items below do not correspond to any of the
above operations or questions. Put a ``--'' in the box of these
items.

\begin{itemize}
\item[\Huge{$\square$}] Union: $X \cup Y$
\item[\Huge{$\square$}] Intersection: $X \cap Y$
\item[\Huge{$\square$}] Set Difference: $X \setminus Y$
\item[\Huge{$\square$}] Containment: $a \in X$?
\item[\Huge{$\square$}] Subset: $X \subseteq Y$?
\item[\Huge{$\square$}] Strict Subset: $X \subset Y$?
\item[\Huge{$\square$}] Emptiness: $X=\emptyset$?
\item[\Huge{$\square$}] Equality: $X=Y$?
\end{itemize}