<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[12pt]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage[ngerman]{babel}
\usepackage{amsmath,amsfonts,amssymb,amsthm}


%Fuer die Graphen:
\usepackage{tikz}
\usetikzlibrary{arrows,automata}

%Fuer die Tabellen:
\usepackage{array}
\usepackage{booktabs}

%Stil fuer Ueberschriften
\setkomafont{disposition}{\normalfont\bfseries}

\begin{document}

\subsection*{Grundlagen}

\begin{tikzpicture}[font=\tiny,-&gt;,&gt;=stealth',auto,node distance=2.0cm,baseline=1.0cm,
                    thick]
                    
  \tikzstyle{every state}=[fill=none,draw=black,text=black,minimum size=10pt]

  \node[state] 				 (A)                    {$A$};
  \node[state]         (B) [below right of=A] 			{$B$};
  \node[state]				 (C) [below left of=A] {$C$};

  \path (A) edge [bend right=15]  node[above=3pt,pos=0.7] {+,2} (C)
            edge [loop above] node {+,1} (A)
        (B) edge [bend right=15] node[above=1pt] {-,1} (A)
            edge [bend left=15]				node {-,2} (C)
        (C) edge [bend left=15] node {+,1} (B);
\end{tikzpicture}
\hfill
{\scriptsize
\begin{tabular}[t]{&gt;{$}c&lt;{$}   l   &gt;{$}l&lt;{$} }
K_C(\cdot)&amp; Einfluss &amp; \text{Zielwert }\\
\midrule
\{B\}     &amp; BC aus, AC aus &amp; 0\\
\{A,B\}   &amp; BC aus, AC an &amp; 1 \text{ (best case)}\\
\emptyset &amp; BC an, AC aus &amp; 0 \text{ (worst case)}\\
\{A\}     &amp; BC an, AC an &amp; 0\\[2mm]
%\end{tabular}
%\multicolumn{3}{c}{} \\
%\tiny
%\begin{tabular}[t]{&gt;{$}c&lt;{$}  | l  | &gt;{$}l&lt;{$} }
K_A(\cdot)&amp; Einfluss &amp; \text{Zielwert }\\
\midrule
\{B\}     &amp; AA aus, BA aus &amp; 1\\
\emptyset &amp; AA aus, BA an &amp; 0 \text{ (worst case)}\\
\{A,B\}   &amp; AA an, BA aus &amp; 2 \text{ (best case)}\\
\{A\}     &amp; AA an, BA an &amp; 1 \\[2mm]
%\multicolumn{3}{c}{} \\
%\end{tabular}
%\begin{tabular}[t]{&gt;{$}c&lt;{$} | l  | &gt;{$}l&lt;{$} }
K_B(\cdot)&amp; Einfluss &amp; \text{Zielwert }\\
\midrule
\emptyset &amp; CB aus &amp; 0\\
\{C\}     &amp; CB an &amp; 1
\end{tabular}
}
\hfill
\begin{tikzpicture}[xscale=1.3,yscale=-1.3,label distance=3pt,&gt;=stealth,baseline=1.0cm,
	every node/.style = {math mode,circle,draw=none,fill=black,minimum size=4pt,inner sep=0pt}]
\tikzset{math mode/.style = {execute at begin node=\tiny $, execute at end node=$}};

\foreach \x in {0,...,2} 
    \foreach \y in {0,...,2} {
    	\node at (\x,\y) [] (\x\y0) {}; %[label=below right:\x\y0 ]
    	\node at (\x+0.4,\y-0.2) [black!60] (\x\y1) {}; %[label=below right:\x\y1 ]
    	%\node at (\x+0.8,\y-0.4) [black!30] (\x\y2) {}; %[label=below right:\x\y2 ]
}
\node at (0,0) [label=below left:000, fill=none] (000) {};
\node at (0,2) [label=above left:020, fill=none] (020) {};
\node at (2,0) [label=below left:200, fill=none] (200) {};
\node at (0.4,-0.2) [label=above right:001, fill=none] (001) {};

\path[-&gt;] (001) edge (101);
\path[-&gt;] (001) edge (011);
\path[-&gt;] (001) edge (000);
\path[-&gt;] (101) edge (100);
\path[-&gt;] (101) edge (201);
\path[-&gt;] (101) edge (111);
\path[-&gt;] (201) edge (211);

\path[-&gt;] (011) edge (010);
\path[-&gt;] (111) edge (110);
\path[-&gt;] (211) edge (111);

\path[-&gt;] (021) edge (011);
\path[-&gt;] (021) edge (020);
\path[-&gt;] (121) edge (111);
\path[-&gt;] (121) edge (120);
\path[-&gt;] (221) edge (121);
\path[-&gt;] (221) edge (211);
\path[-&gt;] (221) edge (220);

\path[-&gt;] (010) edge (000);
\path[-&gt;] (110) edge (100);

\path[-&gt;] (020) edge (010);
\path[-&gt;] (120) edge (110);
\path[-&gt;] (220) edge (210);
\path[-&gt;] (220) edge (120);

\path[-&gt;] (200) edge (201);

\path[-&gt;] (000) edge (100);
\path[-&gt;] (100) edge (200);
\path[-&gt;] (210) edge (200);
\path[-&gt;] (210) edge (211);
\path[-&gt;] (210) edge (110);

\end{tikzpicture}


\subsection*{Aufgabenblatt 1}
\subsubsection*{Aufgabe 1}

\begin{tikzpicture}[font=\tiny,-&gt;,&gt;=stealth',auto,node distance=2.7cm,
                    thick,every node/.style = {math mode},baseline=0.3cm]
  \tikzset{math mode/.style = {execute at begin node=$, execute at end node=$}};
  \tikzstyle{every state}=[fill=none,draw=black,text=black,minimum size=10pt]
  

  \node[state] 				 (A)                    {A};
  \node[state]               (B) [below left of=A] 			{B};
  \node[state]				 (C) [below right of=A] {C};

  \path (A) edge [bend left=15]  node[below right=-2pt,pos=0.6] {-,1} (B)
            edge [bend left=15]  node[above right=-3pt,pos=0.5] {-,1} (C)
        (B) edge [bend left=15] node[above left=-2pt] {+,2} (A)
            edge [bend right=15]	node[above=-1pt] {-,1} (C)
        (C) edge [bend left=15] node[below left=-2pt,pos=0.4] {+,2} (A)
            edge [loop right] node {+,1} (C);
\end{tikzpicture}
\hfill
{\scriptsize
\begin{tabular}[t]{&gt;{$}c&lt;{$}     &gt;{$}l&lt;{$} }
K_A(\cdot)&amp; \text{Zielwert }\\
\midrule
\emptyset &amp; 0 \\
\{B\}     &amp; 1 \\
\{C\}     &amp; 1 \\
\{B,C\}   &amp; 2 \\[2mm]
%\end{tabular}\quad
%\begin{tabular}[t]{&gt;{$}c&lt;{$} &gt;{$}l&lt;{$} }
K_B(\cdot)  &amp; \text{Zielwert }\\
\midrule
\emptyset  &amp; 0 \\
\{A\}      &amp; 1
\end{tabular}\qquad
\begin{tabular}[t]{&gt;{$}c&lt;{$}  &gt;{$}l&lt;{$} }
K_C(\cdot)  &amp; \text{Zielwert }\\
\midrule
\emptyset  &amp; 0 \\
\{A\}      &amp; 0 \\
\{B\}      &amp; 0 \\
\{C\}      &amp; 0 \\
\{A,B\}    &amp; 1 \\
\{A,C\}    &amp; 1 \\
\{B,C\}    &amp; 1 \\
\{A,B,C\}  &amp; 2
\end{tabular}
}

\subsubsection*{Aufgabe 2}

\begin{tikzpicture}[font=\tiny,-&gt;,&gt;=stealth',auto,node distance=2.7cm,
                    thick,every node/.style = {math mode},baseline=0.9cm]
  \tikzset{math mode/.style = {execute at begin node=$, execute at end node=$}};
  \tikzstyle{every state}=[fill=none,draw=black,text=black,minimum size=10pt]
  

  \node[state] 				 (A)                    {A};
  \node[state]               (B) [below left of=A] 			{B};
  \node[state]				 (C) [below right of=A] {C};

  \path (A) edge [bend left=15]  node[below right=-2pt,pos=0.3] {-,1} (B)
            edge [loop above] node {+,2} (A)
            edge [bend left=15]  node[above right=-2pt,pos=0.5] {+,3} (C)
        (B) edge [bend left=15] node[above left=-2pt] {-,2} (A)
            edge [bend left=15]	node[below=-1pt] {+,1} (C)
        (C) edge [bend left=15] node[below=-1pt] {-,1} (B)
            edge [loop right] node {-,2} (C);
\end{tikzpicture}
\hfill
{\scriptsize
\begin{tabular}[t]{&gt;{$}c&lt;{$}     &gt;{$}l&lt;{$} }
K_A(\cdot)&amp; \text{Zielwert }\\
\midrule
\emptyset &amp; 0 \\
\{A\}     &amp; 1 \\
\{B\}     &amp; 2\\
\{A,B\}   &amp; 3\\[2mm]
%\end{tabular}\quad
%\begin{tabular}[t]{&gt;{$}c&lt;{$} &gt;{$}l&lt;{$} }
K_B(\cdot)  &amp; \text{Zielwert }\\
\midrule
\emptyset  &amp; 0 \\
\{A\}      &amp; 0 \\
\{C\}      &amp; 1 \\
\{A,C\}    &amp; 2 
\end{tabular}\qquad
\begin{tabular}[t]{&gt;{$}c&lt;{$}  &gt;{$}l&lt;{$} }
K_C(\cdot)  &amp; \text{Zielwert }\\
\midrule
\emptyset  &amp; 0 \\
\{A\}      &amp; 0 \\
\{B\}      &amp; 0 \\
\{C\}      &amp; 1 \\
\{A,B\}    &amp; 1 \\
\{A,C\}    &amp; 0 \\
\{B,C\}    &amp; 0 \\
\{A,B,C\}  &amp; 2
\end{tabular}
}


\subsection*{Aufgabenblatt 2}
\subsubsection*{Beispiel 1 (variable Level)}

\begin{tikzpicture}[font=\scriptsize,-&gt;,&gt;=stealth',auto,node distance=2.70cm,
                    thick,every node/.style = {math mode},baseline=2.0cm]
  \tikzset{math mode/.style = {execute at begin node=$, execute at end node=$}};
  \tikzstyle{every state}=[fill=none,draw=black,text=black,minimum size=10pt]
  

  \node[state] 			 (A)                    {A};
  \node[state]           (B) [below of=A] 	{B};
  \node[state]				 (C) [right of=B] {C};
  \node[state]				 (D) [right of=A] {D};

  \path (A) edge [loop left ]    node {+,a_1} (A)
            edge [bend left=0]   node[rotate=-45,above=-2pt,pos=0.27] {+,a_3} (C)
            edge [bend left=15]  node[above=-2pt,pos=0.5] {-,a_2} (D)
        (B) edge [loop left ]    node {-,b_1} (B)
            edge [bend left=0]   node[rotate=90,above=-2pt] {+,b_2} (A)
            edge [bend left=15]	node[below=-2pt] {-,b_3} (C)
        (C) edge [loop right]    node {-,c_1} (C)
            edge [bend left=15]  node[below=-2pt] {-,c_2} (B)
            edge [bend left=15]  node[rotate=-90,above=-2pt] {+,c_3} (D)
        (D) edge [bend left=15]  node[above=-2pt] {+,d_1} (A)
            edge [bend left=0 ]  node[rotate=45,above=-2pt,pos=0.73] {+,d_3} (B)
            edge [bend left=15]  node[rotate=-90,above=-2pt] {+,d_2} (C);

\end{tikzpicture}
\hfill
{\scriptsize
\begin{tabular}[t]{&gt;{$}c&lt;{$}     &gt;{$}l&lt;{$} }
K_A(\cdot)&amp; \text{Zielwert }\\
\midrule
\emptyset &amp; 0 \\
\{A\}     &amp; 1 \\
\{B\}     &amp; 1\\
\{D\}     &amp; 1\\
\{A,B\}   &amp; 2\\
\{A,D\}   &amp; 2\\
\{B,D\}   &amp; 2\\
\{A,B,D\} &amp; 3\\[15mm]
%\end{tabular}\quad
%\begin{tabular}[t]{&gt;{$}c&lt;{$}     &gt;{$}l&lt;{$} }
K_B(\cdot)&amp; \text{Zielwert }\\
\midrule
\emptyset &amp; 0 \\
\{B\}     &amp; 0 \\
\{C\}     &amp; 1\\
\{D\}     &amp; 1\\
\{B,C\}   &amp; 1\\
\{B,D\}   &amp; 2\\
\{C,D\}   &amp; 2\\
\{B,C,D\} &amp; 3%\\[2mm]
\end{tabular}\quad
\begin{tabular}[t]{&gt;{$}c&lt;{$}  &gt;{$}l&lt;{$} }
K_C(\cdot)  &amp; \text{Zielwert }\\
\midrule
\emptyset  &amp; 0 \\
\{A\}      &amp; 0 \\
\{B\}      &amp; 0 \\
\{C\}      &amp; 0 \\
\{D\}      &amp; 0 \\
\{A,B\}    &amp; 1 \\
\{A,C\}    &amp; 1 \\
\{A,D\}    &amp; 1 \\
\{B,C\}    &amp; 2 \\
\{B,D\}    &amp; 2 \\
\{C,D\}    &amp; 2 \\
\{A,B,C\}  &amp; 3 \\
\{A,B,D\}  &amp; 3 \\
\{A,C,D\}  &amp; 2 \\
\{B,C,D\}  &amp; 2 \\
\{A,B,C,D\}&amp; 3\\[2mm]
%\end{tabular}\quad
%\begin{tabular}[t]{&gt;{$}c&lt;{$} &gt;{$}l&lt;{$} }
K_D(\cdot)  &amp; \text{Zielwert }\\
\midrule
\emptyset  &amp; 0 \\
\{A\}      &amp; 1 \\
\{C\}      &amp; 1 \\
\{A,C\}    &amp; 2 
\end{tabular}
}


\subsubsection*{Beispiel 2 (variable logische Parameter)}

\begin{center}
\begin{tikzpicture}[font=\scriptsize,-&gt;,&gt;=stealth',auto,node distance=2.7cm,
                    thick,every node/.style = {math mode}]
  \tikzset{math mode/.style = {execute at begin node=$, execute at end node=$}};
  \tikzstyle{every state}=[fill=none,draw=black,text=black,minimum size=10pt]
  

  \node[state] 			 (A)                    {A};
  \node[state]           (B) [below of=A] 	{B};
  \node[state]				 (C) [right of=B] {C};
  \node[state]				 (D) [right of=A] {D};

  \path (A) edge [bend left=15]  node[rotate=90,above=-2pt] {+,1} (B)
            edge [bend left=15]  node[rotate=-45,above=-2pt] {+,3} (C)
            edge [bend left=15]  node[above=-2pt] {-,2} (D)
        (B) edge [loop left ]    node {+,1} (B)
            edge [bend left=15]  node[rotate=90,above=-2pt] {+,3} (A)
            edge [bend left=0 ]	node[below=-2pt] {-,2} (C)
        (C) edge [loop right]    node {-,2} (C)
            edge [bend left=15]  node[rotate=-45,above=-2pt] {-,3} (A)
            edge [bend left=15]  node[rotate=-90,above=-2pt] {+,1} (D)
        (D) edge [loop right]    node {-,3} (D)
            edge [bend left=15]  node[above=-2pt] {+,1} (A)
            edge [bend left=15]  node[rotate=-90,above=-2pt] {+,2} (C);

\end{tikzpicture}
\end{center}


\subsubsection*{Beispiel 3 (variable Level, variable logische Parameter)}

\begin{center}
\begin{tikzpicture}[font=\scriptsize,-&gt;,&gt;=stealth',auto,node distance=2.7cm,
                    thick,every node/.style = {math mode}]
  \tikzset{math mode/.style = {execute at begin node=$, execute at end node=$}};
  \tikzstyle{every state}=[fill=none,draw=black,text=black,minimum size=10pt]
  

  \node[state] 			 (A)                    {A};
  \node[state]           (B) [below of=A] 	{B};
  \node[state]				 (C) [right of=B] {C};

  \path (A) edge [loop left ]    node {+,a_1} (A)
            edge [bend left=0]   node[rotate= 90,above=-2pt] {-,a_2} (B)
        (B) edge [loop left ]    node {+,b_1} (B)
            edge [bend left=15]	node[above=-2pt] {-,b_2} (C)
        (C) edge [loop right]    node {-,c_1} (C)
            edge [bend left=15]  node[above=-2pt] {+,c_2} (B);

\end{tikzpicture}
\end{center}


\end{document}
</pre></body></html>