Commit 758e6c92 by Florian Kothmeier

 \section{Automatenminimierung \hfill 6 Punkte} Gegeben sei folgender Automat: \begin{center} \begin{tikzpicture} \tikzstyle{vertex}=[circle,draw=black,minimum size=17pt,inner sep=0pt] \tikzset{edge/.style = {->,> = latex'}} \node[vertex] (q0) at (0,6) {$q_0$}; \node[vertex, accepting] (q1) at (0,0) {$q_1$}; \node[vertex, accepting] (q2) at (-2,4) {$q_2$}; \node[vertex, accepting] (q3) at (0,4) {$q_3$}; \node[vertex, accepting] (q4) at (3.5,3) {$q_4$}; \node[vertex, accepting] (q5) at (2,2) {$q_5$}; \node[vertex] (q6) at (0,2) {$q_6$}; \node[vertex, accepting] (q7) at (-2,2) {$q_7$}; \node[vertex, accepting] (q8) at (2,5) {$q_8$}; \node[vertex, accepting] (q9) at (-3.5,3) {$q_9$}; \path[edge] (q0) edge node [midway, above right] {0} (q8); \path[edge] (q0) edge node [midway, above left] {1} (q2); \path[edge] (q1) edge node [midway, below right] {0|1} (q5); \path[edge] (q2) edge node [midway, above] {0} (q3); \path[edge] (q2) edge node [midway, left] {1} (q7); \path[edge] (q3) edge[bend left=20] node [midway, above right] {0} (q5); \path[edge] (q3) edge node [midway, left] {1} (q0); \path[edge] (q4) edge node [midway, above right] {0} (q8); \path[edge] (q4) edge node [midway, above] {1} (q5); \path[edge] (q5) edge[bend left=20] node [midway, above] {0} (q3); \path[edge] (q5) edge node [midway, above] {1} (q6); \path[edge] (q6) edge [loop below] node [midway, below] {0} (q6); \path[edge] (q6) edge node [midway, left] {1} (q3); \path[edge] (q7) edge node [midway, below] {0} (q1); \path[edge] (q7) edge node [midway, above] {1} (q6); \path[edge] (q8) edge node [midway, right] {0|1} (q5); \path[edge] (q9) edge node [midway, above] {0} (q7); \path[edge] (q9) edge node [midway, below] {1} (q2); \end{tikzpicture} \end{center} Minimieren sie den Automaten und zeichnen sie den resultierenden minimalen Automaten. \ No newline at end of file