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36 lines
1.5 KiB
36 lines
1.5 KiB
\begin{minipage}{.65\textwidth}
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\begin{enumerate}
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\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
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following variable assignments.
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\begin{enumerate}
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\item $\mathcal{M}_1: ~ p = \top, r = \bot, q = \top, s=\bot$
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\item $\mathcal{M}_2: ~ p = \bot, r = \bot, q = \bot, s=\top$
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\end{enumerate}
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\item Find the formula $f$ that is represented by the BDD.
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\end{enumerate}
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\end{minipage}
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\begin{minipage}{.3\textwidth}
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\begin{center}
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\begin{forest}
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for tree={circle, draw, no edge,
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minimum size=2em,
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inner sep=0pt,
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s sep=6mm,
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l sep=6mm}
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[$f$, rectangle, draw, tikz={\draw [fulldot=.5] () to (p.north);}
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[$p$, name=p, tikz={\draw [line] () to (r1.north); \draw [fulldot=.5] () to (r2.north);}
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[$r$, name=r1, tikz={\draw [line] () to (254:3.8); \draw [fulldot=.5] () to (q1.north west);}]
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[$r$, name=r2, tikz={\draw [line] () to (q1.north east); \draw [dot=.5] () to (q2.north west);}
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[$q$, name=q1, tikz={\draw [line] () to (s.north); \draw[fulldot=.5] () to (277:5);}
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[$s$, name=s, tikz={\draw [line] () to (260:6.3); \draw[fulldot=.5] () to (268:6.2);}]
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[,phantom]
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]
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[$q$, name=q2, tikz={\draw [line] () to (280:5.03); \draw[fulldot=.5] () to (290:5.23);}]
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]
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]
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]
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\end{forest}
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\end{center}
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\end{minipage}
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