\documentclass[dvipsnames,14pt,t]{beamer}+
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\usepackage{beamerthemeplainculight}+
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\usepackage[T1]{fontenc}+
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\usepackage[latin1]{inputenc}+
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\usepackage{mathpartir}+
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\usepackage[absolute,overlay]{textpos}+
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\usepackage{ifthen}+
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\usepackage{tikz}+
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\usepackage{pgf}+
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\usepackage{calc} +
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\usepackage{ulem}+
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\usepackage{courier}+
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\usepackage{listings}+
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\renewcommand{\uline}[1]{#1}+
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\usetikzlibrary{arrows}+
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\usetikzlibrary{automata}+
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\usetikzlibrary{shapes}+
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\usetikzlibrary{shadows}+
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\usetikzlibrary{positioning}+
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\usetikzlibrary{calc}+
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\usepackage{graphicx} +
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+
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\definecolor{javared}{rgb}{0.6,0,0} % for strings+
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\definecolor{javagreen}{rgb}{0.25,0.5,0.35} % comments+
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\definecolor{javapurple}{rgb}{0.5,0,0.35} % keywords+
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\definecolor{javadocblue}{rgb}{0.25,0.35,0.75} % javadoc+
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+
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\lstset{language=Java,+
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	basicstyle=\ttfamily,+
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	keywordstyle=\color{javapurple}\bfseries,+
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	stringstyle=\color{javagreen},+
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	commentstyle=\color{javagreen},+
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	morecomment=[s][\color{javadocblue}]{/**}{*/},+
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	stepnumber=1,+
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	numbersep=10pt,+
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	tabsize=2,+
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	showspaces=false,+
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	showstringspaces=false}+
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+
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\lstdefinelanguage{scala}{+
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  morekeywords={abstract,case,catch,class,def,%+
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    do,else,extends,false,final,finally,%+
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    for,if,implicit,import,match,mixin,%+
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    new,null,object,override,package,%+
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    private,protected,requires,return,sealed,%+
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    super,this,throw,trait,true,try,%+
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    type,val,var,while,with,yield},+
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  otherkeywords={=>,<-,<\%,<:,>:,\#,@},+
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  sensitive=true,+
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  morecomment=[l]{//},+
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  morecomment=[n]{/*}{*/},+
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  morestring=[b]",+
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  morestring=[b]',+
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  morestring=[b]"""+
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}+
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\lstset{language=Scala,+
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	basicstyle=\ttfamily,+
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	keywordstyle=\color{javapurple}\bfseries,+
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	stringstyle=\color{javagreen},+
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	morecomment=[s][\color{javadocblue}]{/**}{*/},+
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	numbers=left,+
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	stepnumber=1,+
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	tabsize=2,+
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	showstringspaces=false}+
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+
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% beamer stuff +
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\renewcommand{\slidecaption}{AFL 01, King's College London, 26.~September 2012}+
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+
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+
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\begin{document}+
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}<1>[t]+
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\frametitle{%+
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  \begin{tabular}{@ {}c@ {}}+
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  \\[-3mm]+
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  \LARGE Automata and \\[-2mm] +
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  \LARGE Formal Languages (1)\\[-3mm] +
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  \end{tabular}}+
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+
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  \begin{center}+
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  \includegraphics[scale=0.3]{pics/ante1.jpg}\hspace{5mm}+
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  \includegraphics[scale=0.31]{pics/ante2.jpg}\\+
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  \footnotesize\textcolor{gray}{Antikythera automaton, 100 BC (Archimedes?)}+
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  \end{center}+
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+
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\normalsize+
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  \begin{center}+
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  \begin{tabular}{ll}+
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  Email:  & christian.urban at kcl.ac.uk\\+
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  Of$\!$fice: & S1.27 (1st floor Strand Building)\\+
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  Slides: & KEATS+
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  \end{tabular}+
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  \end{center}+
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+
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+
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\end{frame}}+
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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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+
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\begin{textblock}{1}(2,5)+
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\begin{tabular}{c}+
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\includegraphics[scale=0.15]{pics/servers.png}\\[-2mm]+
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\small Server+
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\end{tabular}+
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\end{textblock}+
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+
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\begin{textblock}{1}(5.6,4)+
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  \begin{tikzpicture}[scale=1.1]+
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  \draw[white] (0,1) node (X) {};+
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  \draw[white] (2,1) node (Y) {};+
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   \draw[white] (0,0) node (X1) {};+
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   \draw[white] (0,-1) node (X2) {};+
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  \draw[white] (2,-1) node (Y2) {};+
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  \draw[red, <-, line width = 2mm] (X) -- (Y);+
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  \node [inner sep=5pt,label=above:\textcolor{black}{GET request}] at ($ (X)!.5!(Y) $) {};+
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  \draw[red, ->, line width = 2mm] (X1) -- (Y1);+
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  \node [inner sep=5pt,label=above:\textcolor{black}{webpage}] at ($ (X1)!.5!(Y1) $) {};+
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  \draw[red, <-, line width = 2mm] (X2) -- (Y2);+
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  \node [inner sep=7pt,label=above:\textcolor{black}{POST data}] at ($ (X2)!.5!(Y2) $) {};+
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  \end{tikzpicture}+
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\end{textblock}+
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+
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+
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\begin{textblock}{1}(9,5.5)+
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\begin{tabular}{c}+
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\includegraphics[scale=0.15]{pics/laptop.png}\\[-2mm]+
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\small Browser+
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\end{tabular}+
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\end{textblock}+
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  +
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\only<2>{  +
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\begin{textblock}{10}(2,13.5)+
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\begin{itemize}+
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\item programming languages, compilers+
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\end{itemize}+
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\end{textblock}}+
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  +
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  +
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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+
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transforming strings into structured data\\[10mm]+
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+
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{\LARGE\bf Lexing}\medskip\\+
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\hspace{5mm}(recognising ``words'')\\[6mm]+
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+
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{\LARGE\bf Parsing}\medskip\\+
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\hspace{5mm}(recognising ``sentences'')+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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+
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The subject is quite old:+
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+
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\begin{itemize}+
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\item Turing Machines, 1936+
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\item first compiler for COBOL, 1957 (Grace Hopper)+
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\item but surprisingly research papers are still published now+
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\end{itemize}+
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+
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\begin{flushright}+
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\includegraphics[scale=0.3]{pics/hopper.jpg}\\+
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\footnotesize\textcolor{gray}{Grace Hopper}+
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\end{flushright}+
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+
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{\footnotesize\textcolor{gray}{(she made it to David Letterman's Tonight Show, \url{http://www.youtube.com/watch?v=aZOxtURhfEU})}}+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}This Course\end{tabular}}+
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+
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\begin{itemize}+
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\item the ultimate goal is to implement a small web-browser (really small one)\bigskip+
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\end{itemize}+
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+
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Let's start with:+
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+
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\begin{itemize}+
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\item a web-crawler+
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\item an email harvester+
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\item a web-scraper+
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\end{itemize}+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[t]+
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\frametitle{\begin{tabular}{c}A Web Crawler\end{tabular}}+
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+
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\mbox{}\\[10mm]+
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+
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\begin{enumerate}+
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\item given an URL, read the corresponding webpage+
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\item extract all links from it+
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\item call the web-crawler again for all these links+
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\end{enumerate}+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[t]+
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\frametitle{\begin{tabular}{c}A Web Crawler\end{tabular}}+
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+
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\mbox{}\\[10mm]+
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+
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+
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\begin{enumerate}+
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\item given an URL, read the corresponding webpage+
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\item if not possible print, out a problem+
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\item if possible, extract all links from it+
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\item call the web-crawler again for all these links+
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\end{enumerate}\bigskip\pause+
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+
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\small (we need a bound for the number of recursive calls)+
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+
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\small (the purpose is to check all links on my own webpage)+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}Scala\end{tabular}}+
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+
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\footnotesize a simple Scala function for reading webpages\\[-3mm]+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app0.scala}}}\pause+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinline{get_page("""http://www.inf.kcl.ac.uk/staff/urbanc/""")}}}\pause\bigskip+
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+
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+
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\footnotesize slightly more complicated for handling errors properly:\\[-3mm]+
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+
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\footnotesize+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app1.scala}}}+
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+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[t]+
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\frametitle{\begin{tabular}{c}A Regular Expression\end{tabular}}+
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+
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\begin{itemize}+
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\item \ldots{} is a pattern or template for specifying strings+
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\end{itemize}\bigskip+
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  +
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\begin{center}  +
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\only<1>{{\lstset{language=Scala}\fontsize{18}{19}\selectfont\bf+
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\texttt{"https?://[$\hat{\hspace{2mm}}$"]*"}}}%+
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\only<2>{{\lstset{language=Scala}\fontsize{18}{19}\selectfont\bf+
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\texttt{"""\textbackslash{}"https?://[$\hat{\hspace{2mm}}$\textbackslash{}"]*\textbackslash{}"""".r}}}+
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\end{center}\bigskip\bigskip+
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+
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matches for example\\  +
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\;{\lstset{language=Scala}\fontsize{12}{14}\selectfont\bf+
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\texttt{"http://www.foobar.com"}}\\+
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\;{\lstset{language=Scala}\fontsize{12}{14}\selectfont\bf+
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\texttt{"https://www.tls.org"}}\\+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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+
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{\lstset{language=Scala}\fontsize{18}{19}\selectfont\bf+
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\texttt{rexp.findAllIn(string)}}\medskip+
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  +
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returns a list of all (sub)strings that match the regular expression\bigskip\bigskip  +
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  +
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{\lstset{language=Scala}\fontsize{18}{19}\selectfont\bf+
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\texttt{rexp.findFirstIn(string)}}\medskip+
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  +
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returns either {\bf\texttt{None}} if no (sub)string matches +
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or {\bf\texttt{Some(s)}} with the first (sub)string+
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  +
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app2.scala}}}\medskip+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{crawl(some\_start\_URL, 2)}}\+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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+
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\footnotesize+
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a version that only ``crawls'' links in my domain:+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app3.scala}}}+
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+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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+
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\footnotesize+
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a little email ``harvester'':+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app4.scala}}}\bigskip+
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+
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\tiny+
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\textcolor{gray}{\url{http://net.tutsplus.com/tutorials/other/8-regular-expressions-you-should-know/}}+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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\newcommand{\bl}[1]{\textcolor{blue}{#1}}       +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}Regular Expressions\end{tabular}}+
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+
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\begin{textblock}{6}(2,4)+
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  \begin{tabular}{@ {}rrl@ {\hspace{13mm}}l}+
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  \bl{r} & \bl{$::=$}  & \bl{$\varnothing$}  & null\\+
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         & \bl{$\mid$} & \bl{$\epsilon$}        & empty string / "" / []\\+
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         & \bl{$\mid$} & \bl{c}                         & character\\+
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         & \bl{$\mid$} & \bl{r$_1$ $\cdot$ r$_2$} & sequence\\+
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         & \bl{$\mid$} & \bl{r$_1$ + r$_2$}  & alternative / choice\\+
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         & \bl{$\mid$} & \bl{r$^*$}                   & star (zero or more)\\+
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  \end{tabular}+
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  \end{textblock}+
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  +
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[t]+
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\frametitle{\begin{tabular}{c}Regular Expressions\end{tabular}}+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app4.scala}}}+
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+
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  +
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}% for definitions+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}The Meaning of a\\[-2mm] Regular Expression\end{tabular}}+
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+
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\begin{textblock}{15}(1,4)+
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 \begin{tabular}{@ {}rcl}+
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 \bl{$L$($\varnothing$)}  & \bl{$\dn$} & \bl{$\varnothing$}\\+
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 \bl{$L$($\epsilon$)}        & \bl{$\dn$} & \bl{$\{$""$\}$}\\+
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 \bl{$L$(c)}                         & \bl{$\dn$} & \bl{$\{$"c"$\}$}\\+
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 \bl{$L$(r$_1$ + r$_2$)} & \bl{$\dn$} & \bl{$L$(r$_1$) $\cup$ $L$(r$_2$)}\\+
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 \bl{$L$(r$_1$ $\cdot$ r$_2$)}  & \bl{$\dn$} & \bl{$\{$ s$_1$ @ s$_2$ $|$ s$_1$ $\in$ $L$(r$_1$) $\wedge$ s$_2$ $\in$ +
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     $L$(r$_2$) $\}$}\\+
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 \bl{$L$(r$^*$)}                   & \bl{$\dn$} & \onslide<4->{\bl{$\bigcup_{n \ge 0}$ $L$(r)$^n$}}\\+
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  \end{tabular}\bigskip+
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  +
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\onslide<2->{+
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\hspace{5mm}\bl{$L$(r)$^0$ $\;\dn\;$ $\{$""$\}$}\\+
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\bl{$L$(r)$^{n+1}$ $\;\dn\;$ $L$(r) @ $L$(r)$^n$}\hspace{9mm}\onslide<3->{\small\textcolor{gray}{(append on sets)}\\+
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\small\hspace{5cm}\textcolor{gray}{$\{$ s$_1$ @ s$_2$ $|$ s$_1$ $\in$ $L$(r) $\wedge$ s$_2$ $\in$ +
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     $L$(r)$^n$ $\}$}}+
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}  +
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    \end{textblock}+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}The Meaning of a Matching\end{tabular}}+
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+
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\large+
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a regular expression \bl{r} matches a string \bl{s} is defined as+
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+
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\begin{center}+
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\bl{s $\in$ $L$(r)}\\ +
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\end{center}+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}Nullability\end{tabular}}+
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+
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\small+
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whether a regular expression matches the empty string:\medskip+
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+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app5.scala}}}+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}Derivative of a Rexp\end{tabular}}+
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+
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\large+
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If \bl{r} matches the string \bl{c::s}, what is a regular expression that matches \bl{s}?\bigskip\bigskip\bigskip\bigskip+
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+
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\small+
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\bl{der c r} gives the answer+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}The Derivative\end{tabular}}+
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+
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\begin{center}+
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\begin{tabular}{@ {}l@ {\hspace{2mm}}c@ {\hspace{2mm}}l@ {\hspace{-10mm}}l@ {}}+
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  \bl{der c ($\varnothing$)}            & \bl{$\dn$} & \bl{$\varnothing$} & \\+
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  \bl{der c ($\epsilon$)}           & \bl{$\dn$} & \bl{$\varnothing$} & \\+
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  \bl{der c (d)}           & \bl{$\dn$} & \bl{if c $=$ d then [] else $\varnothing$} & \\+
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  \bl{der c (r$_1$ + r$_2$)} & \bl{$\dn$} & \bl{(der c r$_1$) + (der c r$_2$)} & \\+
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  \bl{der c (r$_1$ $\cdot$ r$_2$)} & \bl{$\dn$} & \bl{((der c r$_1$) $\cdot$ r$_2$) + } & \\+
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       &          & \bl{\hspace{3mm}(if nullable r$_1$ then der c r$_2$ else $\varnothing$)}\\+
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  \bl{der c (r$^*$)}          & \bl{$\dn$} & \bl{(der c r) $\cdot$ (r$^*$)} &\smallskip\\\pause+
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+
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  \bl{ders [] r}     & \bl{$\dn$} & \bl{r} & \\+
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  \bl{ders (c::s) r} & \bl{$\dn$} & \bl{ders s (der c r)} & \\+
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  \end{tabular}+
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\end{center}+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}The Derivative\end{tabular}}+
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+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app6.scala}}}+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}The Rexp Matcher\end{tabular}}+
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+
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{\lstset{language=Scala}\fontsize{8}{10}\selectfont+
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\texttt{\lstinputlisting{app7.scala}}}+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}This Course\end{tabular}}+
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+
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We will have a look at+
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+
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\begin{itemize}+
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\item regular expression / regular expression matching+
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\item a bit of sets (of strings)+
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\item automata+
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\item the Myhill-Nerode theorem+
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\item parsing+
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\item grammars+
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\item a small interpreter / webbrowser+
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\end{itemize}+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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+
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+
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+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[c]+
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\frametitle{\begin{tabular}{c}Exam\end{tabular}}+
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+
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\begin{itemize}+
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\item The question ``Is this relevant for the exams?'' is not appreciated!\bigskip\\+
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+
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Whatever is in the homework sheets (and is not marked optional) is relevant for the+
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exam.\\ No code needs to be written.+
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\end{itemize}+
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+
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\end{frame}}+
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   +
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+
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\mode<presentation>{+
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\begin{frame}[t]+
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\frametitle{\begin{tabular}{c}Maps in Scala\end{tabular}}+
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+
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\begin{itemize}+
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\item {\bf\texttt{map}} takes a function, say f, and applies it to every element of the list:+
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