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24 lines
1.1 KiB
24 lines
1.1 KiB
\item \lect Find a \textit{symbolic encoding} for the \textit{transition relation} of the following \emph{transition system} and
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simplify your formulas. Use a binary encoding to encode the states, e.g.,
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encode the state $s_2$ with the formula $v_1 \land \neg v_0$.
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\begin{center}
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\vspace{-2em}
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\begin{tikzpicture}[auto, node distance=3cm,shorten >=1pt,
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thick,node/.style={circle,draw,minimum size=25pt}]
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\node[node] (s0) {$s_0$};
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\node[node] (s1) [right of=s0] {$s_1$};
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\node[node] (s2) [below of=s1] {$s_2$};
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\node[node] (s3) [below of=s0] {$s_3$};
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%\path[<->] (s0) edge (s1);
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\path[->] (s0) edge (s2);
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\path[<-] (s0) edge (s3);
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%\path[<->] (s1) edge (s2);
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\path[<->] (s1) edge (s3);
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\path[<-] (s2) edge (s3);
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\path[->] (s0.120) edge[bend right=90, looseness=15, out=240, in=300] (s0.150);
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%\path[->] (s1.30) edge[bend right=90, looseness=15, out=240, in=300] (s1.60);
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%\path[->] (s2.30) edge[bend right=90, looseness=15, out=240, in=300] (s2.60);
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% \path[->] (s3.120) edge[bend right=90, looseness=15, out=240, in=300] (s3.150);
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\end{tikzpicture}
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\end{center}
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