diff -r e85600529ca5 -r 4794759139ea slides09.tex
--- a/slides09.tex	Sat Jun 15 09:11:11 2013 -0400
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,853 +0,0 @@
-\documentclass[dvipsnames,14pt,t]{beamer}
-\usepackage{beamerthemeplainculight}
-\usepackage[T1]{fontenc}
-\usepackage[latin1]{inputenc}
-\usepackage{mathpartir}
-\usepackage[absolute,overlay]{textpos}
-\usepackage{ifthen}
-\usepackage{tikz}
-\usepackage{pgf}
-\usepackage{calc} 
-\usepackage{ulem}
-\usepackage{courier}
-\usepackage{listings}
-\renewcommand{\uline}[1]{#1}
-\usetikzlibrary{arrows}
-\usetikzlibrary{automata}
-\usetikzlibrary{shapes}
-\usetikzlibrary{shadows}
-\usetikzlibrary{positioning}
-\usetikzlibrary{calc}
-\usetikzlibrary{plotmarks}
-\usepackage{graphicx} 
-\usepackage{pgfplots}
-
-
-\definecolor{javared}{rgb}{0.6,0,0} % for strings
-\definecolor{javagreen}{rgb}{0.25,0.5,0.35} % comments
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-
-\lstset{language=Java,
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-
-\lstdefinelanguage{scala}{
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-    private,protected,requires,return,sealed,%
-    super,this,throw,trait,true,try,%
-    type,val,var,while,with,yield},
-  otherkeywords={=>,<-,<\%,<:,>:,\#,@},
-  sensitive=true,
-  morecomment=[l]{//},
-  morecomment=[n]{/*}{*/},
-  morestring=[b]",
-  morestring=[b]',
-  morestring=[b]"""
-}
-
-
-\lstset{language=Scala,
-	basicstyle=\ttfamily,
-	keywordstyle=\color{javapurple}\bfseries,
-	stringstyle=\color{javagreen},
-	commentstyle=\color{javagreen},
-	morecomment=[s][\color{javadocblue}]{/**}{*/},
-	numbers=left,
-	numberstyle=\tiny\color{black},
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-	numbersep=10pt,
-	tabsize=2,
-	showspaces=false,
-	showstringspaces=false}
-
-\lstdefinelanguage{while}{
-  morekeywords={if,then,else,while,do,true,false,write},
-  otherkeywords={=,!=,:=,<,>,;},
-  sensitive=true,
-  morecomment=[n]{/*}{*/},
-}
-
-
-\lstset{language=While,
-	basicstyle=\ttfamily,
-	keywordstyle=\color{javapurple}\bfseries,
-	stringstyle=\color{javagreen},
-	commentstyle=\color{javagreen},
-	morecomment=[s][\color{javadocblue}]{/**}{*/},
-	numbers=left,
-	numberstyle=\tiny\color{black},
-	stepnumber=1,
-	numbersep=10pt,
-	tabsize=2,
-	showspaces=false,
-	showstringspaces=false}
-
-
-% beamer stuff 
-\renewcommand{\slidecaption}{AFL 09, King's College London, 28.~November 2012}
-\newcommand{\bl}[1]{\textcolor{blue}{#1}}       
-\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}% for definitions
-
-
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-\end{filecontents}
-
-\begin{document}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}<1>[t]
-\frametitle{%
-  \begin{tabular}{@ {}c@ {}}
-  \\[-3mm]
-  \LARGE Automata and \\[-2mm] 
-  \LARGE Formal Languages (9)\\[3mm] 
-  \end{tabular}}
-
-  \normalsize
-  \begin{center}
-  \begin{tabular}{ll}
-  Email:  & christian.urban at kcl.ac.uk\\
-  Of$\!$fice: & S1.27 (1st floor Strand Building)\\
-  Slides: & KEATS (also home work is there)\\
-  \end{tabular}
-  \end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-
-Imagine the following situation: You talk to somebody
-and you find out that she/he has implemented a compiler.\smallskip
-
-What is your reaction? Check all that apply.\bigskip\pause
-
- \begin{itemize}
- \item[$\Box$] You think she/he is God
- \item[$\Box$] \"Uberhacker
- \item[$\Box$] superhuman
- \item[$\Box$] wizard
- \item[$\Box$] supremo
- \end{itemize}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}While-Language\end{tabular}}
-
-
-\begin{center}
-\bl{\begin{tabular}{@{}lcl@{}}
-$Stmt$ & $\rightarrow$ &  $\text{skip}$\\
-              & $|$ & $Id := AExp$\\
-              & $|$ & $\text{if}\; B\!Exp \;\text{then}\; Block \;\text{else}\; Block$\\
-              & $|$ & $\text{while}\; B\!Exp \;\text{do}\; Block$\\
-               & $|$ & $\alert{\text{write}\; Id}$\medskip\\
-$Stmts$ & $\rightarrow$ &  $Stmt \;\text{;}\; Stmts$\\
-              & $|$ & $Stmt$\medskip\\
-$Block$ & $\rightarrow$ &  $\{ Stmts \}$\\
-                & $|$ & $Stmt$\medskip\\
-$AExp$ & $\rightarrow$ & \ldots\\
-$BExp$ & $\rightarrow$ & \ldots\\
-\end{tabular}}
-\end{center}
-
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}Fibonacci Numbers\end{tabular}}
-
-\mbox{}\\[-18mm]\mbox{}
-
-{\lstset{language=While}\fontsize{10}{12}\selectfont
-\texttt{\lstinputlisting{fib.while}}}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}Interpreter\end{tabular}}
-
-\begin{center}
-\bl{\begin{tabular}{@{}lcl@{}}
-$\text{eval}(n, E)$ & $\dn$ & $n$\\
-$\text{eval}(x, E)$ & $\dn$ & $E(x)$ \;\;\;\textcolor{black}{lookup \bl{$x$} in \bl{$E$}}\\
-$\text{eval}(a_1 + a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) + \text{eval}(a_2, E)$\\
-$\text{eval}(a_1 - a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) - \text{eval}(a_2, E)$\\
-$\text{eval}(a_1 * a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) * \text{eval}(a_2, E)$\bigskip\\
-$\text{eval}(a_1 = a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) = \text{eval}(a_2, E)$\\
-$\text{eval}(a_1\,!\!= a_2, E)$ & $\dn$ & $\neg(\text{eval}(a_1, E) = \text{eval}(a_2, E))$\\
-$\text{eval}(a_1 < a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) < \text{eval}(a_2, E)$\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}Interpreter (2)\end{tabular}}
-
-\begin{center}
-\bl{\begin{tabular}{@{}lcl@{}}
-$\text{eval}(\text{skip}, E)$ & $\dn$ & $E$\\
-$\text{eval}(x:=a, E)$ & $\dn$ & \bl{$E(x \mapsto \text{eval}(a, E))$}\\
-\multicolumn{3}{@{}l@{}}{$\text{eval}(\text{if}\;b\;\text{then}\;cs_1\;\text{else}\;cs_2 , E) \dn$}\\
-\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{if}\;\text{eval}(b,E)\;\text{then}\;
-\text{eval}(cs_1,E)$}\\
-\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\phantom{\text{if}\;\text{eval}(b,E)\;}\text{else}\;\text{eval}(cs_2,E)$}\\
-\multicolumn{3}{@{}l@{}}{$\text{eval}(\text{while}\;b\;\text{do}\;cs, E) \dn$}\\
-\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{if}\;\text{eval}(b,E)$}\\
-\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{then}\;
-\text{eval}(\text{while}\;b\;\text{do}\;cs, \text{eval}(cs,E))$}\\
-\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{else}\; E$}\\
-$\text{eval}(\text{write}\; x, E)$ & $\dn$ & $\{\;\text{println}(E(x))\; ;\;E\;\}$\\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}Test Program\end{tabular}}
-
-\mbox{}\\[-18mm]\mbox{}
-
-{\lstset{language=While}\fontsize{10}{12}\selectfont
-\texttt{\lstinputlisting{loops.while}}}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Interpreted Code\end{tabular}}
-
-\begin{center}
-\begin{tikzpicture}
-\begin{axis}[axis x line=bottom, axis y line=left, xlabel=n, ylabel=secs, legend style=small]
-\addplot+[smooth] file {interpreted.data};
-\end{axis}
-\end{tikzpicture}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}Java Virtual Machine\end{tabular}}
-
-\begin{itemize}
-\item introduced in 1995
-\item is a stack-based VM (like Postscript, CLR of .Net)
-\item contains a JIT compiler
-\item many languages take advantage of JVM's infrastructure (JRE)
-\item is garbage collected $\Rightarrow$ no buffer overflows
-\item some languages compiled to the JVM: Scala, Clojure\ldots
-\end{itemize}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling AExps\end{tabular}}
-
-{\Large\bl{1 + 2}}
-
-\begin{center}
-\bl{\begin{tabular}{l}
-ldc 1\\
-ldc 2\\
-iadd\\
-\end{tabular}}
-\end{center}\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling AExps\end{tabular}}
-
-{\Large\bl{1 + 2 + 3}}
-
-\begin{center}
-\bl{\begin{tabular}{l}
-ldc 1\\
-ldc 2\\
-iadd\\
-ldc 3\\
-iadd\\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling AExps\end{tabular}}
-
-{\Large\bl{1 + (2 + 3)}}
-
-\begin{center}
-\bl{\begin{tabular}{l}
-ldc 1\\
-ldc 2\\
-ldc 3\\
-iadd\\
-iadd\\
-\end{tabular}}
-\end{center}\bigskip\pause
-\vfill
-
-\bl{dadd, fadd, ladd, \ldots}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling AExps\end{tabular}}
-
-\begin{center}
-\bl{\begin{tabular}{@{}lcl@{}}
-$\text{compile}(n)$ & $\dn$ & $\text{ldc}\;n$\\
-$\text{compile}(a_1 + a_2)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\qquad\text{compile}(a_1) \;@\;\text{compile}(a_2)\;@\; \text{iadd}$}\smallskip\\
-$\text{compile}(a_1 - a_2)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\qquad\text{compile}(a_1) \;@\; \text{compile}(a_2)\;@\; \text{isub}$}\smallskip\\
-$\text{compile}(a_1 * a_2)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\qquad\text{compile}(a_1) \;@\; \text{compile}(a_2)\;@\; \text{imul}$}\smallskip\\
-\end{tabular}}
-\end{center}\pause
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling AExps\end{tabular}}
-
-{\Large\bl{1 + 2 * 3 + (4 - 3)}}
-
-\begin{center}
-\bl{\begin{tabular}{l}
-ldc 1\\
-ldc 2\\
-ldc 3\\
-imul\\
-ldc 4\\
-ldc 3\\
-isub\\
-iadd\\
-iadd\\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Variables\end{tabular}}
-
-{\Large\bl{$x := 5 + y * 2$}}\bigskip\pause   
-
-\begin{itemize}
-\item lookup: \bl{$\text{iload}\; index$}
-\item store: \bl{$\text{istore}\; index$}
-\end{itemize}\bigskip\pause
-
-while compilating we have to maintain a map between our identifiers and the
-Java bytecode indices
-
-\begin{center}
-\bl{$\text{compile}(a, E)$}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling AExps\end{tabular}}
-
-\begin{center}
-\bl{\begin{tabular}{@{}lcl@{}}
-$\text{compile}(n, E)$ & $\dn$ & $\text{ldc}\;n$\\
-$\text{compile}(a_1 + a_2, E)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\qquad\text{compile}(a_1, E) \;@\;\text{compile}(a_2. E)\;@\; \text{iadd}$}\smallskip\\
-$\text{compile}(a_1 - a_2, E)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\qquad\text{compile}(a_1, E) \;@\; \text{compile}(a_2, E)\;@\; \text{isub}$}\smallskip\\
-$\text{compile}(a_1 * a_2, E)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\qquad\text{compile}(a_1, E) \;@\; \text{compile}(a_2, E)\;@\; \text{imul}$}\bigskip\\
-$\text{compile}(x, E)$ & $\dn$ & $\text{iload}\;E(x)$\\
-\end{tabular}}
-\end{center}\pause
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling Statements\end{tabular}}
-
-We return a list of instructions and an environment for the variables
-
-\begin{center}
-\bl{\begin{tabular}{@{}l@{\hspace{1mm}}c@{\hspace{1mm}}l@{}}
-$\text{compile}(\text{skip}, E)$ & $\dn$ & $(N\!il, E)$\bigskip\\
-$\text{compile}(x := a, E)$ & $\dn$\\
-\multicolumn{3}{l}{$(\text{compile}(a, E) \;@\;\text{istore}\;index, E(x\mapsto index))$}\\
-\end{tabular}}
-\end{center}\medskip
-
-where \bl{$index$} is \bl{$E(x)$} if it is already defined, or if it is not then the largest index not yet seen
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling AExps\end{tabular}}
-
-{\Large\bl{$x := x + 1$}}
-
-\begin{center}
-\bl{\begin{tabular}{l}
-iload $n_x$\\
-ldc 1\\
-iadd\\
-istore $n_x$\\
-\end{tabular}}
-\end{center}
-
-where \bl{$n_x$} is the index corresponding to the variable \bl{$x$}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling Ifs\end{tabular}}
-
-{\Large\bl{$\text{if}\;b\;\text{else}\;cs_1\;\text{then}\;cs_2$}}\bigskip\bigskip
-
-\onslide<2->{Case }\only<2>{{\bf True}:}\only<3>{{\bf False}:}
-
-\begin{center}
-\begin{tikzpicture}[node distance=2mm and 4mm,
- block/.style={rectangle, minimum size=1cm, draw=black, line width=1mm},
- point/.style={rectangle, inner sep=0mm, minimum size=0mm, fill=red},
- skip loop/.style={red, line width=1mm, to path={-- ++(0,-10mm) -| (\tikztotarget)}}]
-\node (A1) [point] {};
-\node (b) [block, right=of A1] {code of \bl{$b$}};
-\node (A2) [point, right=of b] {};
-\node (cs1) [block, right=of A2] {code of \bl{$cs_1$}};
-\node (A3) [point, right=of cs1] {};
-\node (cs2) [block, right=of A3] {code of \bl{$cs_2$}};
-\node (A4) [point, right=of cs2] {};
-
-\only<2>{
-\draw (A1) edge [->, red, line width=1mm] (b);
-\draw (b) edge [->, red, line width=1mm] (cs1);
-\draw (cs1) edge [->, red, line width=1mm] (A3);
-\draw (A3) edge [->,skip loop] (A4);
-\node [below=of cs2] {\raisebox{-5mm}{\small{}jump}};}
-\only<3>{
-\draw (A1) edge [->, red, line width=1mm] (b);
-\draw (b) edge [->, red, line width=1mm] (A2);
-\draw (A2) edge [skip loop] (A3);
-\draw (A3) edge [->, red, line width=1mm] (cs2);
-\draw (cs2) edge [->,red, line width=1mm] (A4);
-\node [below=of cs1] {\raisebox{-5mm}{\small{}conditional jump}};}
-\end{tikzpicture}
-\end{center}
-
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}Conditional Jumps\end{tabular}}
-
-\begin{minipage}{1.1\textwidth}
-\begin{itemize}
-\item \bl{if\_icmpeq $label$} if two ints are equal, then jump\medskip
-\item \bl{if\_icmpne $label$} if two ints aren't equal, then jump\medskip
-\item \bl{if\_icmpge $label$} if one int is greater or equal then another, then jump
-\item[]\ldots
-\end{itemize}
-\end{minipage}\pause
-
-
-\begin{center}
-\bl{\begin{tabular}{l}
-$L_1$:\\
-\hspace{5mm}if\_icmpeq\;$L_2$\\
-\hspace{5mm}iload 1\\
-\hspace{5mm}ldc 1\\
-\hspace{5mm}iadd\\
-\hspace{5mm}if\_icmpeq\;$L_1$\\
-$L_2$:
-\end{tabular}}
-\end{center}
-
-\begin{textblock}{3.5}(11,12)
-\only<3>{labels must be unique}
-\end{textblock}
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling BExps\end{tabular}}
-
-{\Large\bl{$a_1 = a_2$}}
-
-\begin{center}
-\bl{\begin{tabular}{lcl}
-$\text{compile}(a_1 = a_2, E, lab)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\quad\text{compile}(a_1, E) \;@\;\text{compile}(a_2, E)\;@\; \text{if\_icmpne}\;lab$}
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling Ifs\end{tabular}}
-
-{\Large\bl{if $b$ then $cs_1$ else $cs_2$}}
-
-\begin{center}
-\bl{\begin{tabular}{lcl}
-$\text{compile}(\text{if}\;b\;\text{then}\; cs_1\;\text{else}\; cs_2, E)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\quad l_{ifelse}\;$ \textcolor{black}{(fresh label)}}\\
-\multicolumn{3}{l}{$\quad l_{ifend}\;$ \textcolor{black}{(fresh label)}}\\
-\multicolumn{3}{l}{$\quad (is_1, E') = \text{compile}(cs_1, E)$}\\
-\multicolumn{3}{l}{$\quad (is_2, E'') = \text{compile}(cs_2, E')$}\\
-\multicolumn{3}{l}{$\quad(\text{compile}(b, E, l_{ifelse})$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\;is_1$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\; \text{goto}\;l_{ifend}$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\;l_{ifelse}:$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\;is_2$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\;l_{ifend}:, E'')$}\\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling Whiles\end{tabular}}
-
-{\Large\bl{$\text{while}\;b\;\text{do}\;cs$}}\bigskip\bigskip
-
-\onslide<2->{Case }\only<2>{{\bf True}:}\only<3>{{\bf False}:}
-
-\begin{center}
-\begin{tikzpicture}[node distance=2mm and 4mm,
- block/.style={rectangle, minimum size=1cm, draw=black, line width=1mm},
- point/.style={rectangle, inner sep=0mm, minimum size=0mm, fill=red},
- skip loop/.style={red, line width=1mm, to path={-- ++(0,-10mm) -| (\tikztotarget)}}]
-\node (A0) [point, left=of A1] {};
-\node (A1) [point] {};
-\node (b) [block, right=of A1] {code of \bl{$b$}};
-\node (A2) [point, right=of b] {};
-\node (cs1) [block, right=of A2] {code of \bl{$cs$}};
-\node (A3) [point, right=of cs1] {};
-\node (A4) [point, right=of A3] {};
-
-\only<2>{
-\draw (A0) edge [->, red, line width=1mm] (b);
-\draw (b) edge [->, red, line width=1mm] (cs1);
-\draw (cs1) edge [->, red, line width=1mm] (A3);
-\draw (A3) edge [->,skip loop] (A1);}
-\only<3>{
-\draw (A0) edge [->, red, line width=1mm] (b);
-\draw (b) edge [->, red, line width=1mm] (A2);
-\draw (A2) edge [skip loop] (A3);
-\draw (A3) edge [->, red, line width=1mm] (A4);}
-\end{tikzpicture}
-\end{center}
-
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling Whiles\end{tabular}}
-
-{\Large\bl{while $b$ do $cs$}}
-
-\begin{center}
-\bl{\begin{tabular}{lcl}
-$\text{compile}(\text{while}\; b\; \text{do} \;cs, E)$ & $\dn$\\ 
-\multicolumn{3}{l}{$\quad l_{wbegin}\;$ \textcolor{black}{(fresh label)}}\\
-\multicolumn{3}{l}{$\quad l_{wend}\;$ \textcolor{black}{(fresh label)}}\\
-\multicolumn{3}{l}{$\quad (is, E') = \text{compile}(cs_1, E)$}\\
-\multicolumn{3}{l}{$\quad(l_{wbegin}:$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\;\text{compile}(b, E, l_{wend})$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\;is$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\; \text{goto}\;l_{wbegin}$}\\
-\multicolumn{3}{l}{$\quad\phantom{(}@\;l_{wend}:, E')$}\\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiling Writes\end{tabular}}
-
-{\Large\bl{write $x$}}
-
-\begin{center}
-\small\bl{\begin{tabular}{l}
-.method public static write(I)V\hspace{1cm}\textcolor{black}{(library function)}\\ 
-\;\;    .limit locals 5 \\
-\;\;    .limit stack 5 \\
-\;\;    iload 0 \\
-\;\;    getstatic java/lang/System/out Ljava/io/PrintStream;\\ 
-\;\;    swap \\
-\;\;    invokevirtual java/io/PrintStream/println(I)V \\
-\;\;    return \\
-.end method\bigskip\bigskip\\
-%
-\normalsize
-iload $E(x)$\\
-invokestatic write(I)V\\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-
-\begin{center}
-\small\bl{\begin{tabular}{l}
-.class public XXX.XXX\\
-.super java/lang/Object\\
-\\
-.method public <init>()V\\
-\;\;     aload\_0\\
-\;\;     invokenonvirtual java/lang/Object/<init>()V\\
- \;\;    return\\
-.end method\\
-\\
-.method public static main([Ljava/lang/String;)V\\
-\;\;   .limit locals 200\\
-\;\;     .limit stack 200\\
-\\
-   \textcolor{black}{(here comes the compiled code)}\\
-\\
-\;\;     return\\
-.end method\\
-\end{tabular}}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{\begin{tabular}{c}Next Compiler Phases\end{tabular}}
-
-\begin{itemize}
-\item assembly $\Rightarrow$ byte code (class file)
-\item labels $\Rightarrow$ absolute or relative jumps\bigskip\bigskip
-\item \texttt{javap} is a disassembler for class files
-\end{itemize}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiled Code\end{tabular}}
-
-\begin{center}
-\begin{tikzpicture}
-\begin{axis}[axis x line=bottom, axis y line=left, xlabel=n, ylabel=secs, legend style=small]
-\addplot+[smooth] file {compiled.data};
-\end{axis}
-\end{tikzpicture}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiled vs.~Interpreted Code\end{tabular}}
-
-\begin{center}
-\begin{tikzpicture}
-\begin{loglogaxis}[axis x line=bottom, axis y line=left, xlabel=n, ylabel=secs, legend style=small]
-\addplot+[smooth] file {interpreted.data};
-\addplot+[smooth] file {compiled.data};
-\end{loglogaxis}
-\end{tikzpicture}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}Compiled vs.~Interpreted Code\end{tabular}}
-
-\begin{center}
-\begin{tikzpicture}
-\begin{axis}[axis x line=bottom, axis y line=left, ylabel=secs,
-    xlabel=n,
-    enlargelimits=0.05,
-    ybar interval=0.7, legend style=small]
-\addplot file {interpreted2.data};
-\addplot file {compiled2.data};
-%\legend{interpreted, compiled}
-\end{axis}
-\end{tikzpicture}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[t]
-\frametitle{\begin{tabular}{c}What Next\end{tabular}}
-
-\begin{itemize}
-\item register spilling
-\item dead code removal
-\item loop optimisations
-\item instruction selection
-\item type checking
-\item concurrency
-\item fuzzy testing
-\item verification\bigskip\\
-
-\item GCC, LLVM, tracing JITs
-\end{itemize}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
-
-
-\end{document}
-
-%%% Local Variables:  
-%%% mode: latex
-%%% TeX-master: t
-%%% End: 
-