Questionnaire-2024/symbolic_encoding/0007.tex

\item \lect
Consider the domain $A=\{Spain, France, Italy, Germany\}$ and
    the two different symbolic encodings for $A$ given below.
    Which one gives a shorter symbolic representation for the set
    $B=\{France, Germany\}$? Illustrate your answer by giving the
    representing formulas for $B$ in both encodings.

\vspace{.5cm}

%  \begin{minipage}
    \begin{tabular}{l|l|l}
    \hline
    \multicolumn{3}{c}{\textbf{Encoding 1}} \\
    \hline
    Element & $v_1$ & $v_0$ \\
    \hline
    Spain & $0$ & $0$ \\
    France & $1$ & $0$ \\
    Italy & $0$ & $1$ \\
    Germany & $1$ & $1$
   \end{tabular}
%\end{minipage}
%\begin{minipage}
\hspace{3cm}
   \begin{tabular}{l|l|l}
    \hline
    \multicolumn{3}{c}{\textbf{Encoding 2}} \\
    \hline
    Element & $v_1$ & $v_0$ \\
    \hline
    Spain & $0$ & $0$ \\
    France & $1$ & $0$ \\
    Italy & $1$ & $1$ \\
    Germany & $0$ & $1$
   \end{tabular}
%\end{minipage}