Questionnaire-2024/bdds/1030.tex

\begin{minipage}{.65\textwidth}
\begin{enumerate}
\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{enumerate}
         \item $\mathcal{M}_1: ~ p = \top, r = \bot, q = \top, s=\bot$
         \item $\mathcal{M}_2: ~ p = \bot, r = \bot, q = \bot, s=\top$
\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=6mm,
                l sep=6mm}
    [$f$, rectangle, draw,  tikz={\draw [fulldot=.5] () to (p.north);}
        [$p$, name=p, tikz={\draw [line] () to (r1.north); \draw [fulldot=.5] () to (r2.north);}
            [$r$, name=r1, tikz={\draw [line] () to (254:3.8); \draw [fulldot=.5] () to (q1.north west);}]
            [$r$, name=r2, tikz={\draw [line] () to (q1.north east); \draw [dot=.5] () to (q2.north west);}
                [$q$, name=q1, tikz={\draw [line] () to (s.north); \draw[fulldot=.5] () to (277:5);}
                    [$s$, name=s, tikz={\draw [line] () to (260:6.3); \draw[fulldot=.5] () to (268:6.2);}]
                    [,phantom]
                ]
                [$q$, name=q2, tikz={\draw [line] () to (280:5.03); \draw[fulldot=.5] () to (290:5.23);}]
            ]
        ]
    ]
    \end{forest}
    \end{center}
\end{minipage}