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\item \self 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 $B=\{France, Italy\}$? 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}
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