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51 lines
No EOL
2.4 KiB
TeX
51 lines
No EOL
2.4 KiB
TeX
%!TEX root = Programmierparadigmen.tex
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\markboth{Symbolverzeichnis}{Symbolverzeichnis}
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\chapter*{Symbolverzeichnis}
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\addcontentsline{toc}{chapter}{Symbolverzeichnis}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Reguläre Ausdrücke %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{Reguläre Ausdrücke}
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% Set \mylengtha to widest element in first column; adjust
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% \mylengthb so that the width of the table is \columnwidth
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\settowidth\mylengtha{$\alpha^+ = L(\alpha)^+$}
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\setlength\mylengthb{\dimexpr\columnwidth-\mylengtha-2\tabcolsep\relax}
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\begin{xtabular}{@{} p{\mylengtha} P{\mylengthb} @{}}
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$\emptyset$ & Leere Menge\\
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$\epsilon$ & Das leere Wort\\
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$\alpha, \beta$ & Reguläre Ausdrücke\\
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$L(\alpha)$ & Die durch $\alpha$ beschriebene Sprache\\
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$L(\alpha | \beta)$& $L(\alpha) \cup L(\beta)$\\
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$L^0$ & Die leere Sprache, also $\Set{\varepsilon}$\\
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$L^{n+1}$ & Potenz einer Sprache. Diese ist definiert als\newline $L^n \circ L \text{ für } n \in \mdn_0$\\
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$\alpha^+ = L(\alpha)^+$ & $\bigcup_{i \in \mdn} L(\alpha)^i$\\
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$\alpha^* = L(\alpha)^*$ & $\bigcup_{i \in \mdn_0} L(\alpha)^i$\\
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\end{xtabular}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Logik %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{Logik}
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\settowidth\mylengtha{$\mathcal{M} \models \varphi$}
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\setlength\mylengthb{\dimexpr\columnwidth-\mylengtha-2\tabcolsep\relax}
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\begin{xtabular}{@{} p{\mylengtha} P{\mylengthb} @{}}
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$\mathcal{M} \models \varphi$& Semantische Herleitbarkeit\newline Im Modell $\mathcal{M}$ gilt das Prädikat $\varphi$.\\
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$\psi \vdash \varphi$ & Syntaktische Herleitbarkeit\newline Die Formel $\varphi$ kann aus der Menge der Formeln $\psi$ hergeleitet werden.\\
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\end{xtabular}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Weiteres %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{Weiteres}
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\settowidth\mylengtha{$\bot$}
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\setlength\mylengthb{\dimexpr\columnwidth-\mylengtha-2\tabcolsep\relax}
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\begin{xtabular}{@{} p{\mylengtha} P{\mylengthb} @{}}
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$\bot$ & Bottom\\
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$\Parr$ & TODO?\\
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$\succeq$& Typschemainstanziierung\\
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\end{xtabular} |