Grundstruktur bis Lambda, Auswertungsreihenfolge

.gitignore

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+### LaTeX ###
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merkzettel.tex

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+\documentclass[11pt,a4paper]{scrartcl}
+\usepackage[a4paper,left=1.5cm,right=3.0cm,top=2.5cm,bottom=2.5cm]{geometry}
+\usepackage[ngerman]{babel}
+\usepackage{amssymb}
+\usepackage{amsthm}
+\usepackage{mathrsfs}
+\usepackage{scrextend}
+\usepackage[utf8]{inputenc}
+\usepackage{amsmath}
+\usepackage{enumitem}
+\usepackage{tikz-qtree}
+\usepackage{mathtools}
+\usepackage{latexsym}
+\usepackage{algorithmicx}
+\usepackage{csquotes}
+\usepackage{pdfpages}
+\usepackage{pgfplots}
+\usepackage{hyperref}
+\usepackage{tikz}
+\usetikzlibrary{positioning}
+\usetikzlibrary{arrows.meta}
+
+\newcommand{\siehe}[1]{\marginpar{\footnotesize \textit{#1}}}
+\newcommand{\app}{\ensuremath{\rightarrow_a}}
+\newcommand{\norm}{\ensuremath{\rightarrow_n}}
+
+\theoremstyle{definition}
+\newtheorem{definition}{Definition}[section]
+
+\title{Merkzettel für \enquote{Theorie der Programmierung}}
+\author{Marco Ammon}
+\date{\today}
+
+\begin{document}
+\maketitle
+\section*{Termersetzungssysteme}
+\subsection*{Terminierung}
+\subsubsection*{Polynomordnungen}
+\subsection*{Konfluenz}
+\subsection*{Critical Pairs}
+
+\section*{$\lambda$-Kalkül}
+\subsection*{Ungetypt}
+\subsubsection*{Rekursion}
+\subsubsection*{Auswertungsstrategien}
+\begin{itemize}
+	\item applikativ (\textit{leftmost-innermost}) \app
+	\begin{itemize}
+		\item $\lambda x.t \app \lambda x.t'$, wenn $t \app t'$
+		\item $ts \app t's$, wenn $t \app t'$
+		\item $ts \app ts'$, wenn $s\app s'$ und $t$ normal ist
+		\item $(\lambda x.t)s \app t\lbrack s/x\rbrack$, wenn $t$ und $s$ normal sind
+	\end{itemize}	
+	\item normal (\textit{leftmost-outermost}) \norm
+	\begin{itemize}
+		\item $(\lambda x.t) s \norm t\lbrack s/x\rbrack$
+		\item $\lambda x.t \norm \lambda x.t'$, wenn $t\norm t'$
+		\item $ts \norm t's$m wenn $t\norm t'$ und $t$ keine $\lambda$-Abstraktion ist
+		\item $ts \norm ts'$, wenn $s\norm s'$ und $t$ normal und keine $\lambda$-Abstraktion ist
+	\end{itemize}
+\end{itemize}
+\subsection*{Getypt}
+
+\end{document}