mirror of
https://github.com/MartinThoma/LaTeX-examples.git
synced 2025-04-25 06:18:05 +02:00
50 lines
No EOL
2.3 KiB
TeX
50 lines
No EOL
2.3 KiB
TeX
%!TEX root = Programmierparadigmen.tex
|
|
\markboth{Symbolverzeichnis}{Symbolverzeichnis}
|
|
\chapter*{Symbolverzeichnis}
|
|
\addcontentsline{toc}{chapter}{Symbolverzeichnis}
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
% Reguläre Ausdrücke %
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\section*{Reguläre Ausdrücke}
|
|
|
|
% Set \mylengtha to widest element in first column; adjust
|
|
% \mylengthb so that the width of the table is \columnwidth
|
|
\settowidth\mylengtha{$\alpha^+ = L(\alpha)^+$}
|
|
\setlength\mylengthb{\dimexpr\columnwidth-\mylengtha-2\tabcolsep\relax}
|
|
|
|
\begin{xtabular}{@{} p{\mylengtha} P{\mylengthb} @{}}
|
|
$\emptyset$ & Leere Menge\\
|
|
$\epsilon$ & Das leere Wort\\
|
|
$\alpha, \beta$ & Reguläre Ausdrücke\\
|
|
$L(\alpha)$ & Die durch $\alpha$ beschriebene Sprache\\
|
|
$L(\alpha | \beta)$& $L(\alpha) \cup L(\beta)$\\
|
|
$L^0$ & Die leere Sprache, also $\Set{\varepsilon}$\\
|
|
$L^{n+1}$ & Potenz einer Sprache. Diese ist definiert als\newline $L^n \circ L \text{ für } n \in \mdn_0$\\
|
|
$\alpha^+ = L(\alpha)^+$ & $\bigcup_{i \in \mdn} L(\alpha)^i$\\
|
|
$\alpha^* = L(\alpha)^*$ & $\bigcup_{i \in \mdn_0} L(\alpha)^i$\\
|
|
\end{xtabular}
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
% Logik %
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\section*{Logik}
|
|
|
|
\settowidth\mylengtha{$\mathcal{M} \models \varphi$}
|
|
\setlength\mylengthb{\dimexpr\columnwidth-\mylengtha-2\tabcolsep\relax}
|
|
|
|
\begin{xtabular}{@{} p{\mylengtha} P{\mylengthb} @{}}
|
|
$\mathcal{M} \models \varphi$& Semantische Herleitbarkeit\newline Im Modell $\mathcal{M}$ gilt das Prädikat $\varphi$.\\
|
|
$\psi \vdash \varphi$ & Syntaktische Herleitbarkeit\newline Die Formel $\varphi$ kann aus der Menge der Formeln $\psi$ hergeleitet werden.\\
|
|
\end{xtabular}
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
% Weiteres %
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
\section*{Weiteres}
|
|
|
|
\settowidth\mylengtha{$\bot$}
|
|
\setlength\mylengthb{\dimexpr\columnwidth-\mylengtha-2\tabcolsep\relax}
|
|
|
|
\begin{xtabular}{@{} p{\mylengtha} P{\mylengthb} @{}}
|
|
$\bot$ & Bottom\\
|
|
$\Parr$ & TODO?
|
|
\end{xtabular} |