Questionnaire-2024/bdds/1031.tex

\item Use the BDD shown in the figure on the right to check if  the formula it represents evaluates to \texttt{true} or \texttt{false} with the
following variable assignments.
\begin{minipage}{.65\textwidth}
\begin{enumerate}
\begin{enumerate}
         \item $\mathcal{M}_1: ~ a = \bot, b = \top, c = \bot, d = \top$
         \item $\mathcal{M}_2: ~ a = \top, b = \top, c = \top, d = \top$
\end{enumerate}

\item Find the formula $f$ that is represented by the BDD.
 \end{enumerate}

\end{minipage}
\begin{minipage}{.3\textwidth}
    \begin{center}
\begin{forest}
for tree={circle, draw, no edge,
          minimum size=2em,
          inner sep=0pt,
          s sep=5mm,
          l sep=5mm}
[$f$, rectangle, draw,  tikz={\draw [fulldot=.5] () to (c.north);}
   [$c$, name=c, tikz={\draw [line] () to (d1.north); \draw [dot=.5] () to (d2.north);}
      [$d$, name=d1, tikz={\draw [line] () to (b1.north); \draw [fulldot=.5] () to (261:3.25);}
         [$b$, name=b1, tikz={\draw [line] () to (242:5); \draw [fulldot=.5] () to (256:4.55);}]
         [,phantom]
      ]
      [$d$, name=d2, tikz={\draw [line] () to (b2.north); \draw [dot=.5] () to (299:3.7);}
         [$b$, name=b2, tikz={\draw [line] () to (a.north); \draw [dot=.5] () to (286:4.6);}
            [$a$, name=a, tikz={\draw [line] () to (264:5.7); \draw [fulldot=.5] () to (276:5.7);}]
            [,phantom]
         ]
         [,phantom]
      ]
   ]
]
\end{forest}
    \end{center}
\end{minipage}