uni/fgi2/Blatt11/Aufgabenblatt11.tex

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\begin{document}
\author{Benjamin Kuffel, Jim Martens\\Gruppe 6}
\title{Hausaufgaben zum 12. Januar}
\maketitle

\setcounter{section}{2}
\section{} %11.3
\subsection{}
Mithilfe der Regeln können Workflownetze soweit vergröbert werden, bis nur noch der Start- und Endplatz und eine Transition übrig bleiben. Lässt sich ein Netz nicht in einer solchen Weise mit den gegebenen Regeln vergröbern, dann ist es kein Workflownetz.

\subsection{}
Das kleinste korrekte Workflownetz besteht aus zwei Plätzen und einer Transition, wobei die beiden Plätze den Start- bzw. Endplatz darstellen.

\setcounter{subsection}{3}
\subsection{}
\begin{tabular}{l|l|l}
    Nr. & Transformationsregel & Hinzugekommene Elemente \\
    \hline
    0 & - & p17 \\
    1 & P-Seq & p16, t9 \\
    2 & P-Seq & p14, t8 \\
    3 & Par & p15 \\
    4 & P-Seq & p6, t7 \\
    5 & Par & p13 \\
    6 & P-Seq & a, t1 \\
    7 & Par & p12 \\
    8 & P-Seq & p8, t6 \\
    9 & Par & p11 \\
    10 & P-Seq & p3, t4 \\
    11 & Par & p10 \\
    12 & P-Seq & p7, t5 \\
    13 & Par & p9 \\
    14 & P-Seq & p2, t2 \\
    15 & Par & p5 \\
    16 & P-Seq & p4, t3
\end{tabular}

\setcounter{subsection}{5}
\subsection{}
\begin{tabular}{l|l|l|l}
    Nr. & Transformationsregel & Verbliebene Knoten & Entfernte Knoten \\
    \hline
   1 & Zusammenfassung & p17,t10,t11,p18,p19,t12,p20,t15,p23 & t14,p22,t21,p31,t22,p32 \\
   & & p24,t16,t17,p25,p26,t13,p21,t18,p27 & p33,t23,p34,t25\\
   & & t19,p28,p29,t20,p30,t24,p35,t26,p36,t28,e & \\
   \hline
   2 & P-Seq & p17,t10,t11,p18,p19,t12,p20,t15,p23 & t19,p27 \\
   & & p24,t16,t17,p25,p26,t13,p21,t18,p28 &\\
   & & p29,t20,p30,t24,p35,t26,p36,t28,e & \\
   \hline
   3 & Par & p17,t10,t11,p18,p19,t12,p20,t15,p23 & p28 \\
   & & p24,t16,t17,p25,p26,t13,p21,t18,p29 &\\
   & & t20,p30,t24,p35,t26,p36,t28,e & \\
   \hline
   4 & P-Seq & p17,t10,t11,p18,p19,t12,p20,t15,p23,p24 & p29,t20 \\
   & & t16,t17,p25,p26,t13,p21,t18 &\\
   & & p30,t24,p35,t26,p36,t28,e & \\
   \hline
   5 & P-Seq & p17,t10,t11,p18,p19,t12,p20,t15,p23,p24 & p30,t24 \\
   & & t16,t17,p25,p26,t13,p21,t18 &\\
   & & p35,t26,p36,t28,e &\\
   \hline
   6 & T-Seq & p17,t10,t11,p18,p19,t12,p20,t15,p23,p24 & p35,t26 \\
   & & t16,t17,p25,p26,t13,p21,t18 &\\
   & & p36,t28,e &\\
   \hline
   7 & P-Seq & p17,t10,t11,p18,p19,t12,p20,t15,p24 & p23,t16 \\
   & & t17,p25,p26,t13,p21,t18 &\\
   & & p36,t28,e &\\
   \hline
   8 & Par & p17,t10,t11,p18,p19,t12,p20,t15,p24 & p25 \\
   & & t17,p26,t13,p21,t18 &\\
   & & p36,t28,e &\\
   \hline
   9 & Zusammenfassen & p17,t10,p18,t12,p20,t13,p21 & t11,p19,t15,p24 \\
   & & t18,p36,t28,e &t17,p26,t27\\
   \hline
   10 & T-Seq & p17,t10,p18,t12,p20,t13,p21 & p36,t28 \\
   & & t18,e &\\
   \hline
   11 & T-Seq & p17,t10,p18,t12,p21,t18,e & p20,t13 \\
   \hline
   12 & T-Seq & p17,t10,p21,t18,e & p18,t12 \\
   \hline
   13 & T-Seq & p17,t10,e & p21,t18 \\
   \hline
   14 & P-Seq & e & p17,t10
\end{tabular}

\section{} %11.4
\end{document}