| author | Christian Urban <christian.urban@kcl.ac.uk> | 
| Mon, 17 Aug 2020 17:42:37 +0100 | |
| changeset 744 | a33ce6c8e2c3 | 
| parent 743 | f063a6cd5d91 | 
| child 745 | 905b60a029bf | 
| permissions | -rw-r--r-- | 
| 631 | 1 | % !TEX program = xelatex | 
| 743 | 2 | \documentclass[dvipsnames,14pt,t,xelatex,aspectratio=169,xcolor={table}]{beamer}
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changeset | 3 | \usepackage{../slides}
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changeset | 4 | \usepackage{../graphics}
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changeset | 5 | \usepackage{../langs}
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changeset | 6 | \usepackage{../data}
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| 743 | 8 | |
| 9 | ||
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changeset | 10 | \hfuzz=220pt | 
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changeset | 11 | |
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changeset | 12 | \lstset{language=Scala,
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changeset | 13 | style=mystyle, | 
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changeset | 16 | xleftmargin=0mm} | 
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changeset | 17 | |
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changeset | 18 | \newcommand{\bl}[1]{\textcolor{blue}{#1}}     
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| 559 | 19 | |
| 0 | 20 | % beamer stuff | 
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changeset | 21 | \renewcommand{\slidecaption}{CFL 01, King's College London}
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| 0 | 22 | |
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changeset | 23 | %% https://cs.rit.edu/~hh/teaching/_media/cc18/lectures/lect1/main.pdf | 
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changeset | 24 | %% https://cs.rit.edu/~hh/teaching/_media/cc18/lectures/lect2/main.pdf | 
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changeset | 25 | %% https://cs.rit.edu/~hh/teaching/_media/cc18/lectures/lect3/main.pdf | 
| 0 | 26 | |
| 27 | \begin{document}
 | |
| 28 | ||
| 743 | 29 | |
| 30 | ||
| 0 | 31 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
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changeset | 32 | \begin{frame}[t]
 | 
| 510 | 33 | \frametitle{%  
 | 
| 0 | 34 |   \begin{tabular}{@ {}c@ {}}
 | 
| 1 | 35 | \\[-3mm] | 
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changeset | 36 | \LARGE Compilers and \\[-1mm] | 
| 743 | 37 | \LARGE Formal Languages\\[-3mm] | 
| 0 | 38 |   \end{tabular}}
 | 
| 39 | ||
| 40 |   \begin{center}
 | |
| 507 | 41 |   %\includegraphics[scale=0.3]{pics/ante1.jpg}\hspace{5mm}
 | 
| 42 |   %\includegraphics[scale=0.31]{pics/ante2.jpg}\\
 | |
| 43 |   %\footnotesize\textcolor{gray}{Antikythera automaton, 100 BC (Archimedes?)}
 | |
| 0 | 44 |   \end{center}
 | 
| 45 | ||
| 510 | 46 | \normalsize | 
| 0 | 47 |   \begin{center}
 | 
| 48 |   \begin{tabular}{ll}
 | |
| 49 | Email: & christian.urban at kcl.ac.uk\\ | |
| 743 | 50 | %Office Hours: & Thursdays 12 -- 14\\ | 
| 51 | %Location: & N7.07 (North Wing, Bush House)\\ | |
| 631 | 52 | Slides \& Progs: & KEATS\\ | 
| 0 | 53 |   \end{tabular}
 | 
| 54 |   \end{center}
 | |
| 55 | ||
| 743 | 56 |   \begin{center}
 | 
| 57 |     \begin{tikzpicture}
 | |
| 58 | \node[drop shadow,fill=white,inner sep=0pt] | |
| 59 |       {\footnotesize\rowcolors{1}{capri!10}{white}
 | |
| 60 |         \begin{tabular}{|p{4.8cm}|p{4.8cm}|}\hline
 | |
| 61 |           \cellcolor{blue!50}
 | |
| 62 | 1 Introduction, Languages & 6 While-Language \\ | |
| 63 | 2 Regular Expressions, Derivatives & 7 Compilation, JVM \\ | |
| 64 | 3 Automata, Regular Languages & 8 Compiling Functional Languages \\ | |
| 65 | 4 Lexing, Tokenising & 9 Optimisations \\ | |
| 66 | 5 Grammars, Parsing & 10 LLVM \\ \hline | |
| 67 |         \end{tabular}%
 | |
| 68 | }; | |
| 69 |     \end{tikzpicture}
 | |
| 70 |   \end{center}
 | |
| 71 | ||
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changeset | 72 | \end{frame}
 | 
| 559 | 73 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 0 | 74 | |
| 75 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 744 | 76 | \begin{frame}<1-11>[c]
 | 
| 77 | \frametitle{The Goal of this Module\ldots}
 | |
| 78 | ||
| 79 | \begin{center}
 | |
| 80 |   \begin{tikzpicture}[scale=1,
 | |
| 81 |                       node/.style={
 | |
| 82 | rectangle,rounded corners=3mm, | |
| 83 | very thick,draw=black!50,minimum height=18mm, minimum width=20mm, | |
| 84 | top color=white,bottom color=black!20,drop shadow}] | |
| 85 | ||
| 86 |   \node at (3.05, 1.8) {\Large\bf \ldots{} you write a compiler};
 | |
| 87 | ||
| 88 |   \node (0) at (-2.3,0) {};  
 | |
| 89 | \node [above=5mm of 0] | |
| 90 |   {\makebox[0mm]{\footnotesize
 | |
| 91 |       \begin{tabular}{@{}l@{}}input\\[-1mm]program\end{tabular}}}; 
 | |
| 92 | ||
| 93 |   \node (A) at (0,0)  [node] {};
 | |
| 94 |   \node [below right] at (A.north west) {lexer};
 | |
| 95 | ||
| 96 |   \node (B) at (3,0)  [node] {};
 | |
| 97 |   \node [below right=1mm] at (B.north west) {\mbox{}\hspace{-1mm}parser};
 | |
| 98 | ||
| 99 |   \node (C) at (6,0)  [node] {};
 | |
| 100 |   \node [below right] at (C.north west) {\mbox{}\hspace{-1mm}code gen};
 | |
| 101 | ||
| 102 |   \node (1) at (8.4,0) {};
 | |
| 103 | \node [above=5mm of 1] | |
| 104 |   {\makebox[0mm]{\footnotesize
 | |
| 105 |       \begin{tabular}{@{}r@{}}binary\\[-1mm]code\end{tabular}}};
 | |
| 106 | ||
| 107 | \draw [->,line width=4mm] (0) -- (A); | |
| 108 | \draw [->,line width=4mm] (A) -- (B); | |
| 109 | \draw [->,line width=4mm] (B) -- (C); | |
| 110 | \draw [->,line width=4mm] (C) -- (1); | |
| 111 |   \end{tikzpicture}
 | |
| 112 |   \end{center}
 | |
| 113 | ||
| 114 | \only<2,3,4>{
 | |
| 115 | \begin{textblock}{1}(1,2.1)
 | |
| 116 | \begin{bubble}[9.8cm]
 | |
| 117 | \normalsize | |
| 118 | lexer input: a string\smallskip\\ | |
| 119 | \hspace{5mm}\code{"read(n);"}\medskip\\
 | |
| 120 | lexer output: a sequence of tokens\smallskip\\ | |
| 121 | \hspace{5mm}\code{key(read) lpar id(n) rpar semi}
 | |
| 122 | \end{bubble}
 | |
| 123 | \end{textblock}} 
 | |
| 124 | ||
| 125 | \only<3,4>{
 | |
| 126 | \begin{textblock}{1}(6,7.8)
 | |
| 127 | \begin{tabular}{c}
 | |
| 128 | \includegraphics[scale=0.2]{../pics/rosetta.jpg}\\[-2mm]
 | |
| 129 | \footnotesize lexing $\Rightarrow$ recognising words (Stone of Rosetta) | |
| 130 | \end{tabular}
 | |
| 131 | \end{textblock}}
 | |
| 132 | ||
| 133 | \only<4>{
 | |
| 134 | \begin{textblock}{1}(0.5,12)\small
 | |
| 135 | \begin{tabular}{l@{}c@{}l}
 | |
| 136 |   \pcode{if}    & $\;\Rightarrow\;$ & keyword\\
 | |
| 137 |   \pcode{iffoo} & $\;\Rightarrow\;$ & identifier\\
 | |
| 138 | \end{tabular}  
 | |
| 139 | \end{textblock}}
 | |
| 140 | ||
| 141 | \only<6>{
 | |
| 142 | \begin{textblock}{1}(1,1.5)
 | |
| 143 | \begin{bubble}[8.5cm]
 | |
| 144 | \normalsize | |
| 145 | parser input: a sequence of tokens\smallskip\\ | |
| 146 | ||
| 147 | {\small\hspace{5mm}\code{key(read) lpar id(n) rpar semi}}\smallskip\\
 | |
| 148 | ||
| 149 | parser output: an abstract syntax tree\smallskip\\ | |
| 150 | \footnotesize | |
| 151 | \hspace{2cm}\begin{tikzpicture}
 | |
| 152 |   \node {\code{read}}
 | |
| 153 |     child {node {\code{lpar}}}
 | |
| 154 |     child {node {\code{n}}}
 | |
| 155 |     child {node {\code{rpar}}};
 | |
| 156 | \end{tikzpicture}
 | |
| 157 | \end{bubble}
 | |
| 158 | \end{textblock}}
 | |
| 159 | ||
| 160 | \only<8,9>{
 | |
| 161 | \begin{textblock}{1}(1,1.5)
 | |
| 162 | \begin{bubble}[4cm]
 | |
| 163 | \normalsize | |
| 164 | code generation:\smallskip\\ | |
| 165 | \hspace{5mm}\code{istore 2}\\ 
 | |
| 166 | \hspace{5mm}\code{iload 2}\\ 
 | |
| 167 | \hspace{5mm}\code{ldc 10}\\
 | |
| 168 | \hspace{5mm}\code{isub}\\
 | |
| 169 | \hspace{5mm}\code{ifeq Label2}\\ 
 | |
| 170 | \hspace{5mm}\code{iload 2}\\
 | |
| 171 | \hspace{5mm}\code{...}\\
 | |
| 172 | \end{bubble}
 | |
| 173 | \end{textblock}}
 | |
| 174 | ||
| 175 | \only<9>{
 | |
| 176 | \begin{textblock}{6}(8.4,7)
 | |
| 177 | \begin{bubble}[5cm]
 | |
| 178 | \mbox{\begin{tikzpicture}[scale=0.58,rounded corners=0mm]
 | |
| 179 | \begin{axis}[axis x line=bottom, axis y line=left, ylabel=secs,
 | |
| 180 | xlabel=n, | |
| 181 | enlargelimits=0.05, | |
| 182 | ybar interval=0.7, legend style=small] | |
| 183 | \addplot file {interpreted2.data};
 | |
| 184 | \addplot file {compiled2.data};
 | |
| 185 | %\legend{interpreted, compiled}
 | |
| 186 | \end{axis}
 | |
| 187 | \end{tikzpicture}}
 | |
| 188 | \end{bubble}
 | |
| 189 | \end{textblock}}
 | |
| 190 | ||
| 191 | \only<10>{
 | |
| 192 | \begin{textblock}{6}(1,3)
 | |
| 193 |   \begin{bubble}[11cm]
 | |
| 194 |   Compiler explorers, e.g.: \url{https://gcc.godbolt.org}  
 | |
| 195 |   \begin{tikzpicture}[]
 | |
| 196 |   \node (0) at (-2.3,0) {\includegraphics[scale=0.3]{pics/csource.png}};
 | |
| 197 |   \node (1) [right=35mm] at (0) {\includegraphics[scale=0.3]{pics/cassmbl.png}}; 
 | |
| 198 | \draw [->,line width=4mm, red] (0) -- (1); | |
| 199 |   \node (2) [below=20mm] at (0) {\LARGE\bf``source''};
 | |
| 200 |   \node (3) [right=40mm] at (2) {\LARGE\bf``binary''};
 | |
| 201 | \draw [->,line width=1mm] (2) -- (3); | |
| 202 | \end{tikzpicture}
 | |
| 203 | \end{bubble}
 | |
| 204 | \end{textblock}}
 | |
| 205 | ||
| 206 | ||
| 207 | \end{frame}
 | |
| 208 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 209 | ||
| 210 | ||
| 211 | ||
| 212 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 559 | 213 | \begin{frame}[t]
 | 
| 214 | \frametitle{Why Study Compilers?}
 | |
| 0 | 215 | |
| 743 | 216 | |
| 217 | John Regehr {\small(Univ.~Utah, LLVM compiler hacker)}
 | |
| 218 | \here{https://blog.regehr.org/archives/1419}
 | |
| 219 | \smallskip\\ | |
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| 559 | 221 | \begin{bubble}[10.5cm]
 | 
| 222 |   \bf ``\ldots{}It’s effectively a perpetual
 | |
| 223 | employment act for solid compiler hackers.'' | |
| 224 | \end{bubble}
 | |
| 0 | 225 | |
| 559 | 226 | \onslide<1->{
 | 
| 227 | \only<2>{
 | |
| 228 | \begin{itemize}
 | |
| 229 | \item {\bf Hardware is getting weirder
 | |
| 631 | 230 | rather than getting clocked faster.} | 
| 0 | 231 | |
| 559 | 232 | \begin{itemize}
 | 
| 631 | 233 | \item[] ``Almost all processors are multicores nowadays and it looks | 
| 234 | like there is increasing asymmetry in resources across cores. | |
| 235 | Processors come with vector units, crypto accelerators etc. We have | |
| 236 | DSPs, GPUs, ARM big.little, and Xeon Phi. This is only scratching the | |
| 237 | surface.'' | |
| 559 | 238 | \end{itemize}  
 | 
| 239 | \end{itemize}}
 | |
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changeset | 240 | \only<3>{
 | 
| 559 | 241 | \begin{itemize}
 | 
| 242 | \item {\bf We’re getting tired of low-level languages and
 | |
| 631 | 243 | their associated security disasters.} | 
| 559 | 244 | |
| 245 | \begin{itemize}
 | |
| 631 | 246 | \item [] ``We want to write new code, to whatever extent possible, in | 
| 247 | safer, higher-level languages. Compilers are caught right in the | |
| 248 | middle of these opposing trends: one of their main jobs is to help | |
| 249 | bridge the large and growing gap between increasingly high-level | |
| 250 | languages and increasingly wacky platforms.'' | |
| 559 | 251 | \end{itemize}  
 | 
| 252 | \end{itemize}}}
 | |
| 1 | 253 | |
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changeset | 254 | \end{frame}
 | 
| 0 | 255 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 1 | 256 | |
| 631 | 257 | |
| 258 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 259 | \begin{frame}[c]
 | |
| 744 | 260 | \frametitle{Why Bother with Compilers?}
 | 
| 631 | 261 | |
| 744 | 262 | \textbf{Boeings 777}: First flight in 1994. They want to achieve
 | 
| 263 | triple redundancy in hardware faults.\bigskip | |
| 631 | 264 | |
| 265 | They compile 1 Ada program to\medskip | |
| 266 | ||
| 267 | \begin{itemize}
 | |
| 268 | \item Intel 80486 | |
| 269 | \item Motorola 68040 (old Macintosh's) | |
| 270 | \item AMD 29050 (RISC chips used often in laser printers) | |
| 271 | \end{itemize}\medskip\medskip
 | |
| 272 | ||
| 273 | using 3 independent compilers.\bigskip\pause | |
| 274 | ||
| 275 | \small Airbus uses C and static analysers. Recently started using CompCert. | |
| 276 | ||
| 277 | \end{frame}
 | |
| 278 | %%%%%%%%%%% | |
| 279 | ||
| 280 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
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changeset | 281 | \begin{frame}[c]
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changeset | 282 | \frametitle{Why Bother?}
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changeset | 284 | \begin{columns}[t]
 | 
| 744 | 285 | \begin{column}{.4\textwidth}
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| 559 | 286 | Ruby, Python, Java 8\medskip\\ | 
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changeset | 287 | \begin{tikzpicture}\footnotesize
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changeset | 288 | \begin{axis}[
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changeset | 289 |     xlabel={$n$},
 | 
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changeset | 290 |     x label style={at={(1.05,0.0)}},
 | 
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changeset | 291 |     ylabel={time in secs},
 | 
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changeset | 292 | enlargelimits=false, | 
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changeset | 293 |     xtick={0,5,...,30},
 | 
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changeset | 294 | xmax=33, | 
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changeset | 295 | ymax=35, | 
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changeset | 296 |     ytick={0,5,...,30},
 | 
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changeset | 297 | scaled ticks=false, | 
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changeset | 301 |     legend entries={Python,Ruby},  
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changeset | 302 | legend pos=north west, | 
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changeset | 303 | legend cell align=left] | 
| 559 | 304 | \addplot[blue,mark=*, mark options={fill=white}] table {re-python.data};
 | 
| 305 | \addplot[brown,mark=triangle*, mark options={fill=white}] table {re-ruby.data};
 | |
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changeset | 306 | \end{axis}
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changeset | 307 | \end{tikzpicture}
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changeset | 308 | \begin{tikzpicture}\footnotesize
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changeset | 309 | \begin{axis}[
 | 
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changeset | 310 |     xlabel={$n$},
 | 
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changeset | 311 |     x label style={at={(1.05,0.0)}},
 | 
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changeset | 312 |     ylabel={time in secs},
 | 
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changeset | 313 | enlargelimits=false, | 
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changeset | 314 |     xtick={0,5,...,30},
 | 
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changeset | 315 | xmax=33, | 
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changeset | 316 | ymax=35, | 
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changeset | 317 |     ytick={0,5,...,30},
 | 
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changeset | 319 | axis lines=left, | 
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changeset | 320 | width=5.5cm, | 
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changeset | 321 | height=4cm, | 
| 631 | 322 |     legend entries={Python, Java 8, JavaScript},  
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changeset | 323 | legend pos=north west, | 
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334diff
changeset | 324 | legend cell align=left] | 
| 559 | 325 | \addplot[blue,mark=*, mark options={fill=white}] table {re-python2.data};   
 | 
| 428 
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changeset | 326 | \addplot[cyan,mark=*, mark options={fill=white}] table {re-java.data};
 | 
| 631 | 327 | \addplot[red,mark=*, mark options={fill=white}] table {re-js.data};
 | 
| 428 
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changeset | 328 | \end{axis}
 | 
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changeset | 329 | \end{tikzpicture}
 | 
| 
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changeset | 330 | |
| 
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changeset | 331 | \end{column}
 | 
| 744 | 332 | \begin{column}{.4\textwidth}
 | 
| 428 
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changeset | 333 | Us (after next lecture)\medskip\\ | 
| 
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changeset | 334 | \begin{tikzpicture}\footnotesize
 | 
| 
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changeset | 335 | \begin{axis}[
 | 
| 
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changeset | 336 |     xlabel={$n$},
 | 
| 
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changeset | 337 |     x label style={at={(1.07,0.0)}},
 | 
| 
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changeset | 338 |     ylabel={time in secs},
 | 
| 
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changeset | 339 | enlargelimits=false, | 
| 442 
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changeset | 340 |     xtick={0,5000,...,10000},
 | 
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437diff
changeset | 341 | xmax=11000, | 
| 428 
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changeset | 342 | ymax=35, | 
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changeset | 343 |     ytick={0,5,...,30},
 | 
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changeset | 344 | scaled ticks=false, | 
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changeset | 345 | axis lines=left, | 
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changeset | 346 | width=5.5cm, | 
| 
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334diff
changeset | 347 | height=4cm] | 
| 437 
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428diff
changeset | 348 | \addplot[green,mark=square*,mark options={fill=white}] table {re2.data};
 | 
| 428 
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changeset | 349 | \addplot[black,mark=square*,mark options={fill=white}] table {re3.data};
 | 
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changeset | 350 | \end{axis}
 | 
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changeset | 351 | \end{tikzpicture}
 | 
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changeset | 352 | \begin{tikzpicture}\footnotesize
 | 
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changeset | 353 | \begin{axis}[
 | 
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changeset | 354 |     xlabel={$n$},
 | 
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changeset | 355 |     x label style={at={(1.07,0.0)}},
 | 
| 
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changeset | 356 |     ylabel={time in secs},
 | 
| 
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changeset | 357 | enlargelimits=false, | 
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changeset | 358 | ymax=35, | 
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changeset | 359 |     ytick={0,5,...,30},
 | 
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changeset | 360 | scaled ticks=false, | 
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changeset | 361 | axis lines=left, | 
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changeset | 362 | width=5.5cm, | 
| 
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334diff
changeset | 363 | height=4cm] | 
| 
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changeset | 364 | \addplot[black,mark=square*,mark options={fill=white}] table {re3a.data};
 | 
| 
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changeset | 365 | \end{axis}
 | 
| 255 
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changeset | 366 | \end{tikzpicture}
 | 
| 
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changeset | 367 | \end{column}
 | 
| 428 
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changeset | 368 | \end{columns}\bigskip
 | 
| 255 
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changeset | 369 | |
| 428 
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changeset | 370 | \small\centering | 
| 635 | 371 | matching \bl{\texttt{[a?]\{n\}[a]\{n\}}} and \bl{\texttt{(a*)*b}}
 | 
| 372 | against \bl{$\underbrace{\texttt{a}...\texttt{a}}_n$}
 | |
| 510 | 373 | \end{frame} 
 | 
| 255 
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changeset | 374 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 631 | 375 | |
| 376 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 377 | \begin{frame}[c,fragile]
 | |
| 378 |   \frametitle{Incidents}
 | |
| 379 | ||
| 380 |   \begin{itemize}
 | |
| 381 |   \item a global outage on 2 July 2019 at \textbf{Cloudflare} 
 | |
| 382 | (first one for six years)\medskip | |
| 383 | ||
| 384 |   \begin{center}\small\color{blue}
 | |
| 385 |   \begin{verbatim}  
 | |
| 386 | (?:(?:\"|'|\]|\}|\\|\d|(?:nan|infinity|true|false| | |
| 387 | null|undefined|symbol|math)|\`|\-|\+)+[)]*;?((?:\s | |
| 388 |   |-|~|!|{}|\|\||\+)*.*(?:.*=.*)))  
 | |
| 389 |   \end{verbatim}
 | |
| 390 |   \end{center}\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip    
 | |
| 391 | ||
| 392 |   \item on 20 July 2016 the \textbf{Stack Exchange} webpage went down
 | |
| 393 | because of an evil regular expression | |
| 394 |   \end{itemize}
 | |
| 395 | ||
| 396 |   \begin{textblock}{6}(9,7.6)
 | |
| 728 | 397 |     \includegraphics[scale=0.14]{../pics/cloudflare.png}\\
 | 
| 631 | 398 | \footnotesize | 
| 399 | It serves more web traffic than Twitter, Amazon, Apple, Instagram, Bing \& Wikipedia combined. | |
| 400 |     \end{textblock}
 | |
| 401 | ||
| 402 |   \end{frame}
 | |
| 403 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 404 | ||
| 560 | 405 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 406 | \begin{frame}[c]
 | |
| 407 | \frametitle{Evil Regular Expressions}
 | |
| 408 | ||
| 409 | \begin{itemize}
 | |
| 410 | \item \alert{R}egular \alert{e}xpression \alert{D}enial \alert{o}f \alert{S}ervice (ReDoS)\medskip
 | |
| 411 | \item Evil regular expressions\medskip | |
| 412 | \begin{itemize}
 | |
| 413 | \item \bl{$(a^{?\{n\}}) \cdot a^{\{n\}}$}
 | |
| 414 | \item \bl{$(a^*)^*\cdot b$}
 | |
| 630 | 415 | \item \bl{$([a-z]^+)^*$}
 | 
| 560 | 416 | \item \bl{$(a + a \cdot a)^*$}
 | 
| 417 | \item \bl{$(a + a^?)^*$}
 | |
| 418 | \end{itemize}
 | |
| 419 | ||
| 420 | \item sometimes also called \alert{catastrophic backtracking}
 | |
| 421 | \item this is a problem for \alert{N}etwork \alert{I}ntrusion
 | |
| 631 | 422 |   \alert{D}etection systems, Cloudflare, StackExchange, Atom editor
 | 
| 560 | 423 | \item \url{https://vimeo.com/112065252}  
 | 
| 424 | \end{itemize}
 | |
| 425 | ||
| 426 | \end{frame}
 | |
| 427 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 428 
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334diff
changeset | 428 | |
| 255 
96a99237fa42
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254diff
changeset | 429 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 
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254diff
changeset | 430 | \begin{frame}[c]
 | 
| 559 | 431 | \frametitle{The Acad.~Subject is Mature}
 | 
| 432 | ||
| 631 | 433 | \bigskip | 
| 559 | 434 | \begin{itemize}
 | 
| 631 | 435 | \item Turing Machines, 1936 (a tape as memory) | 
| 559 | 436 | \item Regular Expressions, 1956\\ | 
| 631 | 437 | \item The first compiler for COBOL, 1957\\ (Grace Hopper)\medskip | 
| 559 | 438 | \item But surprisingly research papers are still published nowadays\\ | 
| 439 | \item ``Parsing: The Solved Problem That Isn't'' | |
| 440 | \end{itemize}
 | |
| 441 | ||
| 442 | \begin{flushright}
 | |
| 443 | \includegraphics[scale=0.3]{pics/hopper.jpg}\\
 | |
| 444 | \footnotesize\textcolor{gray}{Grace Hopper}
 | |
| 445 | \end{flushright}
 | |
| 446 | ||
| 447 | ||
| 448 | \begin{flushright}
 | |
| 449 | \mbox{}\\[-6mm]
 | |
| 450 | {\footnotesize\textcolor{gray}{(she made it to David Letterman's Tonight Show,\\[-2mm]
 | |
| 722 | 451 |  \url{https://youtu.be/3N_ywhx6_K0?t=31})}}
 | 
| 559 | 452 | \end{flushright}
 | 
| 453 | ||
| 454 | \end{frame}
 | |
| 455 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 456 | ||
| 632 | 457 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 458 | \begin{frame}[c]
 | |
| 636 | 459 | \frametitle{Remember BF*** from PEP?}
 | 
| 559 | 460 | |
| 632 | 461 | \begin{center}
 | 
| 462 | \begin{tabular}{lcl}
 | |
| 463 | \bl{\texttt{>}} & $\Rightarrow$ & move one cell right\\
 | |
| 464 | \bl{\texttt{<}} & $\Rightarrow$ & move one cell left\\
 | |
| 465 | \bl{\texttt{+}} & $\Rightarrow$ & increase cell by one\\
 | |
| 466 | \bl{\texttt{-}} & $\Rightarrow$ & decrease cell by one\\
 | |
| 467 | \bl{\texttt{.}} & $\Rightarrow$ & print current cell\\
 | |
| 468 | \bl{\texttt{,}} & $\Rightarrow$ & input current cell\\
 | |
| 469 | \bl{\texttt{[}} & $\Rightarrow$ & loop begin\\
 | |
| 470 | \bl{\texttt{]}} & $\Rightarrow$ & loop end\medskip\\
 | |
| 471 | & $\Rightarrow$ & everything else is a comment\\ | |
| 472 | \end{tabular}  
 | |
| 473 | \end{center}  
 | |
| 474 | ||
| 475 | \end{frame}
 | |
| 476 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 477 | ||
| 478 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 479 | \begin{frame}[c]
 | |
| 636 | 480 |   \frametitle{A ``Compiler'' for BF***}
 | 
| 632 | 481 | |
| 482 |   \begin{center}
 | |
| 483 |   \begin{tabular}{lcl}
 | |
| 484 |   \bl{\texttt{>}} & $\Rightarrow$ & \texttt{ptr++}\\
 | |
| 485 |   \bl{\texttt{<}} & $\Rightarrow$ & \texttt{ptr--}\\
 | |
| 486 |   \bl{\texttt{+}} & $\Rightarrow$ & \texttt{(*ptr)++}\\
 | |
| 487 |   \bl{\texttt{-}} & $\Rightarrow$ & \texttt{(*ptr)--}\\
 | |
| 488 |   \bl{\texttt{.}} & $\Rightarrow$ & \texttt{putchar(*ptr)}\\
 | |
| 489 |   \bl{\texttt{,}} & $\Rightarrow$ & \texttt{*ptr = getchar()}\\
 | |
| 490 |   \bl{\texttt{[}} & $\Rightarrow$ & \texttt{while(*ptr)\{}\\
 | |
| 491 |   \bl{\texttt{]}} & $\Rightarrow$ & \texttt{\}}\medskip\\
 | |
| 492 | & $\Rightarrow$ & ignore everything else\\ | |
| 493 |   \end{tabular}  
 | |
| 494 |   \end{center}\bigskip  
 | |
| 495 | ||
| 743 | 496 |   \texttt{char field[30000]\\ char *ptr = \&field[15000]}
 | 
| 632 | 497 | |
| 498 | \end{frame}
 | |
| 499 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 500 | ||
| 559 | 501 | |
| 502 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 503 | \begin{frame}[c]
 | |
| 327 
9470cd124667
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
255diff
changeset | 504 | \frametitle{Lectures 1 - 5}
 | 
| 255 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 505 | |
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 506 | transforming strings into structured data\\[10mm] | 
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 507 | |
| 506 | 508 | {\LARGE\bf Lexing} {\hfill{}based on regular expressions}\medskip\\
 | 
| 255 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 509 | \hspace{5mm}(recognising ``words'')\\[6mm]
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 510 | |
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 511 | {\LARGE\bf Parsing}\medskip\\
 | 
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 512 | \hspace{5mm}(recognising ``sentences'')
 | 
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 513 | |
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 514 | \begin{textblock}{1}(10,9.1)
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 515 | \begin{tabular}{c}
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 516 | \includegraphics[scale=0.1]{../pics/rosetta.jpg}\\[-2mm]
 | 
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 517 | \footnotesize Stone of Rosetta | 
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 518 | \end{tabular}
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 519 | \end{textblock}
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 520 | |
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 521 | \end{frame}
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 522 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 523 | |
| 636 | 524 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 525 | \begin{frame}[c]
 | |
| 526 |   \frametitle{Lectures 5 - 10}
 | |
| 527 | ||
| 528 | code generation for a small imperative and a small functional languages\\[10mm] | |
| 529 | ||
| 530 |   {\LARGE\bf Interpreters}\medskip\\
 | |
| 531 |   \hspace{5mm}(directly runs a program)\\[6mm]
 | |
| 532 | ||
| 533 |   {\LARGE\bf Compilers}\medskip\\
 | |
| 534 |   \hspace{5mm}(generates JVM code)
 | |
| 535 | ||
| 536 |   \begin{textblock}{1}(10,8.1)
 | |
| 537 |   \begin{tabular}{c}
 | |
| 538 |   \includegraphics[scale=0.4]{../pics/javaduke.png}
 | |
| 539 |   \end{tabular}
 | |
| 540 |   \end{textblock}
 | |
| 541 | ||
| 542 |   \end{frame}
 | |
| 543 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 544 | ||
| 545 | ||
| 546 | ||
| 1 | 547 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 255 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 548 | \begin{frame}[t]
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 549 | \frametitle{Familiar Regular Expr.}
 | 
| 
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 550 | \small | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 551 | \begin{center}
 | 
| 560 | 552 | \texttt{[a-z0-9\_$\backslash{}$.-]+ @ [a-z0-9$\backslash{}$.-]+ . [a-z$\backslash{}$.]\{2,6\}}
 | 
| 255 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 553 | \end{center}\smallskip
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 554 | |
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 555 | \begin{center}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 556 | \begin{tabular}{@{}lp{8.5cm}@{}}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 557 | \pcode{re*} & matches 0 or more times\\
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 558 | \pcode{re+} & matches 1 or more times\\
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 559 | \pcode{re?} & matches 0 or 1 times\\
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 560 | \pcode{re\{n\}}	& matches exactly \pcode{n} number of times\\
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 561 | \pcode{re\{n,m\}} & matches at least \pcode{n} and at most {\tt m} times\\
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 562 | \pcode{[...]} & matches any single character inside the brackets\\
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 563 | \pcode{[^...]} & matches any single character not inside the 
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 564 | brackets\\ | 
| 560 | 565 | \pcode{a-z A-Z} & character ranges\\
 | 
| 255 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 566 | \pcode{\\d} & matches digits; equivalent to \pcode{[0-9]}\\
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 567 | \pcode{.} & matches every character except newline\\
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 568 | \pcode{(re)}	& groups regular expressions and remembers 
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 569 | the matched text | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 570 | \end{tabular}
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 571 | \end{center}
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 572 | |
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 573 | |
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 574 | \end{frame}
 | 
| 
96a99237fa42
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 575 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 
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changeset | 576 | |
| 
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changeset | 577 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 631 | 578 | %\begin{frame}[c]
 | 
| 579 | %\frametitle{Today}
 | |
| 580 | % | |
| 581 | %\begin{itemize}
 | |
| 582 | %\item While the ultimate goal is to implement a small compiler for the JVM | |
| 583 | % \ldots\bigskip | |
| 584 | %\end{itemize}
 | |
| 585 | % | |
| 586 | %Let's start with: | |
| 587 | % | |
| 588 | %\begin{itemize}
 | |
| 589 | %\item a web-crawler | |
| 590 | %\item an email harvester | |
| 559 | 591 | %\item \textcolor{gray}{(a web-scraper)}
 | 
| 631 | 592 | %\end{itemize}
 | 
| 593 | % | |
| 594 | %\end{frame}
 | |
| 255 
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changeset | 595 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 0 | 596 | |
| 2 | 597 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 631 | 598 | %\begin{frame}[t]
 | 
| 599 | %\frametitle{A Web-Crawler}
 | |
| 600 | % | |
| 601 | %\mbox{}\\[10mm]
 | |
| 602 | % | |
| 603 | %\begin{enumerate}
 | |
| 604 | %\item given an URL, read the corresponding webpage | |
| 605 | %\item extract all links from it | |
| 606 | %\item call the web-crawler again for all these links | |
| 607 | %\end{enumerate}
 | |
| 608 | % | |
| 609 | %\end{frame}
 | |
| 2 | 610 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 611 | ||
| 612 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 631 | 613 | %\begin{frame}[t]
 | 
| 614 | %\frametitle{A Web-Crawler}
 | |
| 615 | % | |
| 616 | %\mbox{}\\[10mm]
 | |
| 617 | % | |
| 618 | % | |
| 619 | %\begin{enumerate}
 | |
| 620 | %\item given an URL, read the corresponding webpage | |
| 621 | %\item if not possible print, out a problem | |
| 622 | %\item if possible, extract all links from it | |
| 623 | %\item call the web-crawler again for all these links | |
| 624 | %\end{enumerate}\bigskip\pause
 | |
| 625 | % | |
| 626 | %\small (we need a bound for the number of recursive calls) | |
| 627 | % | |
| 628 | %\small (the purpose is to check all links on my own webpage) | |
| 629 | %\end{frame}
 | |
| 2 | 630 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 631 | ||
| 255 
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changeset | 632 | |
| 
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changeset | 633 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 631 | 634 | %\begin{frame}[c]
 | 
| 635 | % | |
| 636 | %\begin{textblock}{1}(2,5)
 | |
| 637 | %\begin{tabular}{c}
 | |
| 638 | %\includegraphics[scale=0.15]{pics/servers.png}\\[-2mm]
 | |
| 639 | %\small Server | |
| 640 | %\end{tabular}
 | |
| 641 | %\end{textblock}
 | |
| 642 | % | |
| 643 | %\begin{textblock}{1}(5.6,4)
 | |
| 644 | %  \begin{tikzpicture}[scale=1.1]
 | |
| 645 | %  \draw[white] (0,1) node (X) {};
 | |
| 646 | %  \draw[white] (2,1) node (Y) {};
 | |
| 647 | %   \draw[white] (0,0) node (X1) {};
 | |
| 648 | %  \draw[white] (2,0) node (Y1) {};
 | |
| 649 | %   \draw[white] (0,-1) node (X2) {};
 | |
| 650 | %  \draw[white] (2,-1) node (Y2) {};
 | |
| 651 | % \draw[red, <-, line width = 2mm] (X) -- (Y); | |
| 652 | %  \node [inner sep=5pt,label=above:\textcolor{black}{GET request}] at ($ (X)!.5!(Y) $) {};
 | |
| 653 | % \draw[red, ->, line width = 2mm] (X1) -- (Y1); | |
| 654 | %  \node [inner sep=5pt,label=above:\textcolor{black}{webpage}] at ($ (X1)!.5!(Y1) $) {};
 | |
| 655 | % \draw[red, <-, line width = 2mm] (X2) -- (Y2); | |
| 656 | %  \node [inner sep=7pt,label=above:\textcolor{black}{POST data}] at ($ (X2)!.5!(Y2) $) {};
 | |
| 657 | %  \end{tikzpicture}
 | |
| 658 | %\end{textblock}
 | |
| 659 | % | |
| 660 | % | |
| 661 | %\begin{textblock}{1}(9,5.5)
 | |
| 662 | %\begin{tabular}{c}
 | |
| 663 | %\includegraphics[scale=0.15]{pics/laptop.png}\\[-2mm]
 | |
| 664 | %\small Browser | |
| 665 | %\end{tabular}
 | |
| 666 | %\end{textblock}
 | |
| 667 | %\end{frame}
 | |
| 668 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 255 
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changeset | 669 | |
| 
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254diff
changeset | 670 | |
| 
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254diff
changeset | 671 | |
| 0 | 672 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 631 | 673 | %\begin{frame}[c]
 | 
| 674 | %\frametitle{Scala}
 | |
| 675 | % | |
| 676 | %\small A simple Scala function for reading webpages: | |
| 677 | %\bigskip | |
| 678 | % | |
| 679 | %\footnotesize | |
| 680 | %\lstinputlisting{../progs/app0.scala}
 | |
| 681 | %\medskip\pause | |
| 682 | % | |
| 683 | %\lstinline{get_page("""https://nms.kcl.ac.uk/christian.urban/""")}
 | |
| 684 | %\bigskip\medskip\pause | |
| 685 | % | |
| 686 | % | |
| 687 | %\small A slightly more complicated version for handling errors: | |
| 688 | %\smallskip | |
| 689 | % | |
| 690 | %\footnotesize | |
| 691 | %\lstinputlisting[xleftmargin=-4mm]{../progs/app1.scala}
 | |
| 692 | % | |
| 693 | % | |
| 694 | %\end{frame}
 | |
| 0 | 695 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 696 | ||
| 98 
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97diff
changeset | 697 | |
| 
1f3d89fe9820
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
97diff
changeset | 698 | |
| 
1f3d89fe9820
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
97diff
changeset | 699 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 3 | 700 | \begin{frame}[t]
 | 
| 253 
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252diff
changeset | 701 | \frametitle{A Regular Expression}
 | 
| 3 | 702 | |
| 703 | \begin{itemize}
 | |
| 704 | \item \ldots{} is a pattern or template for specifying strings
 | |
| 705 | \end{itemize}\bigskip
 | |
| 706 | ||
| 707 | \begin{center}  
 | |
| 254 
dcd4688690ce
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253diff
changeset | 708 | \only<1>{\scode{"https?://[^"]*"}}%
 | 
| 
dcd4688690ce
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
253diff
changeset | 709 | \only<2>{\scode{""""https?://[^"]*"""".r}}
 | 
| 3 | 710 | \end{center}\bigskip\bigskip
 | 
| 711 | ||
| 254 
dcd4688690ce
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253diff
changeset | 712 | matches for example\smallskip\\ | 
| 
dcd4688690ce
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
253diff
changeset | 713 | \hspace{2mm}\code{"http://www.foobar.com"}\\
 | 
| 559 | 714 | \hspace{2mm}\code{"https://www.tls.org"}\smallskip\\
 | 
| 715 | ||
| 716 | but not\smallskip\\ | |
| 717 | \hspace{2mm}\code{"http://www."foo"bar.com"}\\
 | |
| 3 | 718 | |
| 253 
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252diff
changeset | 719 | \end{frame}
 | 
| 3 | 720 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 721 | ||
| 722 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 632 | 723 | %\begin{frame}[c]
 | 
| 724 | %\frametitle{Finding Operations in Scala}
 | |
| 725 | % | |
| 726 | %{\bf\code{rexp.findAllIn(string)}}\medskip
 | |
| 727 | % | |
| 728 | %returns a list of all (sub)strings that match the | |
| 729 | %regular expression | |
| 730 | %\bigskip\bigskip | |
| 731 | % | |
| 732 | % | |
| 733 | %{\bf\code{rexp.findFirstIn(string)}}\medskip
 | |
| 734 | % | |
| 735 | %returns either | |
| 736 | % | |
| 737 | %\begin{itemize}
 | |
| 738 | %\item \code{None} if no (sub)string matches or 
 | |
| 739 | %\item \code{Some(s)} with the first (sub)string
 | |
| 740 | %\end{itemize}
 | |
| 741 | % | |
| 742 | %\end{frame}
 | |
| 0 | 743 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 744 | ||
| 745 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 631 | 746 | %\begin{frame}[c]
 | 
| 747 | % | |
| 748 | %\footnotesize | |
| 749 | %\lstinputlisting{../progs/app2.scala}
 | |
| 750 | % | |
| 751 | %\end{frame}
 | |
| 254 
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253diff
changeset | 752 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 0 | 753 | |
| 254 
dcd4688690ce
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
253diff
changeset | 754 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 631 | 755 | %\begin{frame}[c]
 | 
| 756 | % | |
| 757 | %\small | |
| 758 | %A version that only crawls links in ``my'' domain:\bigskip | |
| 759 | % | |
| 760 | %\footnotesize | |
| 761 | %\lstinputlisting{../progs/app3.scala}
 | |
| 762 | % | |
| 763 | %\end{frame}
 | |
| 0 | 764 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 765 | ||
| 766 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 631 | 767 | %\begin{frame}[c]
 | 
| 768 | %\lstset{xleftmargin=-4mm}
 | |
| 769 | %\small | |
| 770 | %A little email harvester: | |
| 771 | % | |
| 772 | %\footnotesize | |
| 773 | %\lstinputlisting{../progs/app4.scala}\bigskip
 | |
| 774 | % | |
| 775 | %\tiny | |
| 776 | %\url{http://net.tutsplus.com/tutorials/other/8-regular-expressions-you-should-know/}
 | |
| 777 | % | |
| 778 | %\end{frame}
 | |
| 3 | 779 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 780 | ||
| 781 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 14 | 782 | \begin{frame}[t]
 | 
| 506 | 783 | \frametitle{Regular Expressions}
 | 
| 0 | 784 | |
| 330 
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328diff
changeset | 785 | Their inductive definition: | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 786 | |
| 14 | 787 | |
| 330 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 788 | \begin{textblock}{6}(2,7.5)
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 789 |   \begin{tabular}{@ {}rrl@ {\hspace{13mm}}l}
 | 
| 512 | 790 |   \bl{$r$} & \bl{$::=$}  & \bl{$\ZERO$}  & nothing\\
 | 
| 428 
a47c4227a0c6
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
334diff
changeset | 791 |          & \bl{$\mid$} & \bl{$\ONE$}       & empty string / \pcode{""} / $[]$\\
 | 
| 330 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 792 |          & \bl{$\mid$} & \bl{$c$}                         & character\\
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 793 |          & \bl{$\mid$} & \bl{$r_1 + r_2$}  & alternative / choice\\
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 794 |          & \bl{$\mid$} & \bl{$r_1 \cdot r_2$} & sequence\\
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 795 |          & \bl{$\mid$} & \bl{$r^*$}            & star (zero or more)\\
 | 
| 3 | 796 |   \end{tabular}
 | 
| 797 |   \end{textblock}
 | |
| 798 | ||
| 330 
0806e45d873c
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 799 | |
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 800 | \only<2->{\footnotesize
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 801 | \begin{textblock}{9}(2,0.5)
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 802 | \begin{bubble}[9.8cm]
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 803 | \lstinputlisting{../progs/app01.scala}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 804 | \end{bubble}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 805 | \end{textblock}}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 806 | |
| 254 
dcd4688690ce
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 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
253diff
changeset | 807 | \end{frame}
 | 
| 3 | 808 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 809 | ||
| 810 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 506 | 811 | %\begin{frame}[t]
 | 
| 812 | %\frametitle{Regular Expressions}
 | |
| 813 | % | |
| 814 | %\small | |
| 815 | %In Scala:\bigskip | |
| 816 | % | |
| 817 | %\footnotesize | |
| 818 | %\lstinputlisting{../progs/app51.scala}
 | |
| 819 | % | |
| 820 | % | |
| 821 | %\end{frame}
 | |
| 0 | 822 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 823 | ||
| 824 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 255 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 825 | \begin{frame}[t]
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 826 | \frametitle{Strings}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 827 | |
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 828 | \ldots are lists of characters. For example \code{"hello"}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 829 | |
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 830 | \begin{center}
 | 
| 330 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 831 | \bl{$[h, e, l, l, o]$} or just \bl{$hello$}
 | 
| 255 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 832 | \end{center}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 833 | |
| 330 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 834 | the empty string: \bl{$[]$} or \bl{\pcode{""}}\bigskip\\
 | 
| 255 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 835 | |
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 836 | the concatenation of two strings: | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 837 | |
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 838 | \begin{center}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 839 | \bl{$s_1 \,@\, s_2$}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 840 | \end{center}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 841 | |
| 631 | 842 | \bl{\textit{foo $@$ bar = foobar}}\\
 | 
| 843 | \bl{\textit{baz $@\, []$ = baz}}
 | |
| 255 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 844 | |
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 845 | \end{frame}
 | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 846 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 847 | |
| 
96a99237fa42
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
254diff
changeset | 848 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 330 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 849 | \begin{frame}[c]
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 850 | \frametitle{Languages, Strings}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 851 | |
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 852 | \begin{itemize}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 853 | \item \alert{\bf Strings} are lists of characters, for example
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 854 | \begin{center}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 855 | \bl{$[]$},\;\bl{$abc$}  \hspace{2cm}(Pattern match: \bl{$c\!::\!s$})
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 856 | \end{center}\bigskip
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 857 | |
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 858 | |
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 859 | \item A \alert{\bf language} is a set of strings, for example\medskip
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 860 | \begin{center}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 861 | \bl{$\{[], hello, \textit{foobar}, a, abc\}$}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 862 | \end{center}\bigskip
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 863 | |
| 332 
4755ad4b457b
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
331diff
changeset | 864 | \item \alert{\bf Concatenation} of strings and languages
 | 
| 330 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 865 | |
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 866 | \begin{center}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 867 | \begin{tabular}{rcl}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 868 | \bl{$\textit{foo}\;@\;bar$} & \bl{$=$} & \bl{$\textit{foobar}$}\medskip\\
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 869 | \bl{$A\;@\;B$} & \bl{$\dn$} & \bl{$\{ s_1\,@\,s_2 \;\mid\; s_1 \in A \wedge s_2 \in B\}$}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 870 | \end{tabular}
 | 
| 
0806e45d873c
updated
 Christian Urban <christian dot urban at kcl dot ac dot uk> parents: 
328diff
changeset | 871 | \end{center}
 | 
| 
0806e45d873c
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changeset | 872 | |
| 
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changeset | 873 | %\item The \alert{\bf meaning} of a regular expression is a set of 
 | 
| 
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changeset | 874 | % strings, or language. | 
| 
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changeset | 875 | \end{itemize}  
 | 
| 
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changeset | 876 | |
| 
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changeset | 877 | \end{frame}
 | 
| 
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changeset | 878 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 
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changeset | 879 | |
| 
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changeset | 880 | |
| 
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changeset | 881 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 0 | 882 | \mode<presentation>{
 | 
| 883 | \begin{frame}[c]
 | |
| 253 
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changeset | 884 | \frametitle{\begin{tabular}{c}The Meaning of a\\[-2mm] 
 | 
| 
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changeset | 885 |   Regular Expression\end{tabular}}
 | 
| 0 | 886 | |
| 4 | 887 | \begin{textblock}{15}(1,4)
 | 
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changeset | 888 |  \begin{tabular}{rcl}
 | 
| 428 
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changeset | 889 |  \bl{$L(\ZERO)$}  & \bl{$\dn$} & \bl{$\{\}$}\\
 | 
| 
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changeset | 890 |  \bl{$L(\ONE)$}     & \bl{$\dn$} & \bl{$\{[]\}$}\\
 | 
| 254 
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changeset | 891 |  \bl{$L(c)$}            & \bl{$\dn$} & \bl{$\{[c]\}$}\\
 | 
| 
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changeset | 892 |  \bl{$L(r_1 + r_2)$}    & \bl{$\dn$} & \bl{$L(r_1) \cup L(r_2)$}\\
 | 
| 
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changeset | 893 |  \bl{$L(r_1 \cdot r_2)$} & \bl{$\dn$} & \bl{$\{ s_1 \,@\, s_2 \;|\; s_1 \in L(r_1) \wedge s_2 \in L(r_2) \}$}\\
 | 
| 428 
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changeset | 894 |  \bl{$L(r^*)$}           & \bl{$\dn$} & \onslide<4->{\bl{$\bigcup_{0 \le n} L(r)^n$}}\\
 | 
| 4 | 895 |   \end{tabular}\bigskip
 | 
| 3 | 896 | |
| 4 | 897 | \onslide<2->{
 | 
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changeset | 898 | \hspace{5mm}\bl{$L(r)^0 \;\dn\; \{[]\}$}\\
 | 
| 
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changeset | 899 | \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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changeset | 900 | \small\hspace{5cm}\textcolor{gray}{$\{ s_1 @ s_2 \;|\; s_1\in L(r) \wedge s_2 \in L(r)^n \}$}}
 | 
| 4 | 901 | } | 
| 902 |     \end{textblock}
 | |
| 903 | ||
| 0 | 904 | \end{frame}}
 | 
| 905 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 906 | ||
| 5 | 907 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 908 | \begin{frame}[c]
 | |
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changeset | 909 | \frametitle{The Meaning of Matching}
 | 
| 5 | 910 | |
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changeset | 911 | \begin{bubble}[10cm]
 | 
| 559 | 912 | \large\bf | 
| 507 | 913 | A regular expression \bl{$r$} matches a string~\bl{$s$} 
 | 
| 254 
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changeset | 914 | provided | 
| 5 | 915 | |
| 916 | \begin{center}
 | |
| 254 
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changeset | 917 | \bl{$s \in L(r)$}\\ 
 | 
| 5 | 918 | \end{center}
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changeset | 919 | \end{bubble}\bigskip\bigskip
 | 
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changeset | 920 | |
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changeset | 921 | \ldots and the point of the next lecture is | 
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changeset | 922 | to decide this problem as fast as possible (unlike Python, | 
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changeset | 923 | Ruby, Java) | 
| 5 | 924 | |
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changeset | 925 | \end{frame}
 | 
| 5 | 926 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 927 | ||
| 631 | 928 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 929 | \begin{frame}[c]
 | |
| 930 |   \frametitle{The Power Operation}
 | |
| 931 | ||
| 932 |   \begin{itemize}
 | |
| 933 |   \item The \alert{\textbf{\boldmath$n$th Power}} of a language:
 | |
| 934 | ||
| 935 |   \begin{center}
 | |
| 936 |   \begin{tabular}{lcl}
 | |
| 937 |   \bl{$A^0$}    & \bl{$\dn$} & \bl{$\{[]\}$}\\
 | |
| 938 |   \bl{$A^{n+1}$} & \bl{$\dn$} & \bl{$A \,@\, A^n$}
 | |
| 939 |   \end{tabular}
 | |
| 940 |   \end{center}\bigskip
 | |
| 941 | ||
| 942 | \item[] For example | |
| 943 | ||
| 944 |   \begin{center}
 | |
| 945 |   \begin{tabular}{lcl@{\hspace{10mm}}l}
 | |
| 946 |   \bl{$A^4$} & \bl{$=$} & \bl{$A \,@\, A \,@\, A \,@\, A$} & \bl{$(@\,\{[]\})$}\\
 | |
| 947 |   \bl{$A^1$} & \bl{$=$} & \bl{$A$} & \bl{$(@\,\{[]\})$}\\
 | |
| 948 |   \bl{$A^0$} & \bl{$=$} & \bl{$\{[]\}$}\\
 | |
| 949 |   \end{tabular}
 | |
| 950 |   \end{center}
 | |
| 951 | ||
| 952 |   \end{itemize}  
 | |
| 953 | ||
| 954 |   \end{frame}
 | |
| 955 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 956 | ||
| 957 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 958 | \begin{frame}[c]
 | |
| 959 |   \frametitle{Questions}
 | |
| 960 | ||
| 961 |   \begin{itemize}
 | |
| 962 |   \item Say \bl{$A = \{[a],[b],[c],[d]\}$}.\bigskip
 | |
| 963 | ||
| 964 | \item[] | |
| 965 |   How many strings are in \bl{$A^4$}\,?
 | |
| 966 | \bigskip\medskip\pause | |
| 967 | ||
| 968 | ||
| 969 | \item[] | |
| 970 |   What if \bl{$A = \{[a],[b],[c],[]\}$};\\ 
 | |
| 971 |   how many strings are then in \bl{$A^4$}\,?
 | |
| 972 |   \end{itemize}  
 | |
| 973 | ||
| 974 | \end{frame}
 | |
| 975 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 976 | ||
| 977 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 978 | \begin{frame}[c]
 | |
| 743 | 979 | \frametitle{Languages (Sets of Strings)}
 | 
| 980 | ||
| 981 | \begin{itemize}
 | |
| 982 | ||
| 983 | \item A \alert{\bf Language} is a set of strings, for example\medskip
 | |
| 984 | \begin{center}
 | |
| 985 | \bl{$\{[], hello, foobar, a, abc\}$}
 | |
| 986 | \end{center}\bigskip
 | |
| 987 | ||
| 988 | \item \alert{\bf Concatenation} for strings and languages
 | |
| 989 | ||
| 990 | \begin{center}
 | |
| 991 | \begin{tabular}{rcl}
 | |
| 992 | \bl{$foo\;@\;bar$} & \bl{$=$} & \bl{$foobar$}\medskip\\
 | |
| 993 | \bl{$A\;@\;B$}     & \bl{$\dn$} & \bl{$\{ s_1\,@\,s_2 \;\mid\; s_1 \in A \wedge s_2 \in B\}$}
 | |
| 994 | \end{tabular}
 | |
| 995 | \end{center}
 | |
| 996 | \bigskip | |
| 997 | ||
| 998 | \small | |
| 999 | \item [] For example \bl{$A = \{foo, bar\}$}, \bl{$B = \{a, b\}$}
 | |
| 1000 | ||
| 1001 | \[ | |
| 1002 | \bl{A \,@\, B = \{fooa, foob, bara, barb\}}
 | |
| 1003 | \] | |
| 1004 | ||
| 1005 | \end{itemize}  
 | |
| 1006 | \end{frame}
 | |
| 1007 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1008 | ||
| 1009 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1010 | \begin{frame}[c]
 | |
| 1011 |   \frametitle{Two Corner Cases}
 | |
| 1012 | ||
| 1013 | \Large | |
| 1014 |   \begin{center}
 | |
| 1015 |   \bl{$A \,@\, \{[]\} = \;?$}\bigskip\bigskip\pause\\
 | |
| 1016 |   \bl{$A \,@\, \{\} = \;?$}
 | |
| 1017 |   \end{center}  
 | |
| 1018 | ||
| 1019 |   \end{frame}
 | |
| 1020 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1021 | ||
| 1022 | ||
| 1023 | ||
| 1024 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1025 | \begin{frame}[c]
 | |
| 1026 | \frametitle{
 | |
| 1027 | The Meaning of a\\[-2mm] | |
| 1028 | Regular Expression} | |
| 1029 | ||
| 1030 | ...all the strings a regular expression can match. | |
| 1031 | ||
| 1032 | \begin{center}
 | |
| 1033 |  \begin{tabular}{rcl}
 | |
| 1034 |  \bl{$L(\ZERO)$}  & \bl{$\dn$} & \bl{$\{\}$}\\
 | |
| 1035 |  \bl{$L(\ONE)$}     & \bl{$\dn$} & \bl{$\{[]\}$}\\
 | |
| 1036 |  \bl{$L(c)$}            & \bl{$\dn$} & \bl{$\{[c]\}$}\\
 | |
| 1037 |  \bl{$L(r_1 + r_2)$}    & \bl{$\dn$} & \bl{$L(r_1) \cup L(r_2)$}\\
 | |
| 1038 |  \bl{$L(r_1 \cdot r_2)$} & \bl{$\dn$} & \bl{$L(r_1) \,@\, L(r_2)$}\\
 | |
| 1039 |  \bl{$L(r^*)$}           & \bl{$\dn$} & \\
 | |
| 1040 |   \end{tabular}
 | |
| 1041 | \end{center}
 | |
| 1042 | ||
| 1043 | \begin{textblock}{14}(1.5,13.5)\small
 | |
| 1044 | \bl{$L$} is a function from regular expressions to 
 | |
| 1045 | sets of strings (languages):\smallskip\\ | |
| 1046 | \bl{\quad$L$ : Rexp $\Rightarrow$ Set$[$String$]$}
 | |
| 1047 | \end{textblock}
 | |
| 1048 | ||
| 1049 | \end{frame}
 | |
| 1050 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1051 | ||
| 1052 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1053 | \begin{frame}[c]
 | |
| 1054 | \frametitle{The Power Operation}
 | |
| 1055 | ||
| 1056 | \begin{itemize}
 | |
| 1057 | \item The \alert{\textbf{\boldmath$n$th Power}} of a language:
 | |
| 1058 | ||
| 1059 | \begin{center}
 | |
| 1060 | \begin{tabular}{lcl}
 | |
| 1061 | \bl{$A^0$}    & \bl{$\dn$} & \bl{$\{[]\}$}\\
 | |
| 1062 | \bl{$A^{n+1}$} & \bl{$\dn$} & \bl{$A \,@\, A^n$}
 | |
| 1063 | \end{tabular}
 | |
| 1064 | \end{center}\bigskip
 | |
| 1065 | ||
| 1066 | \item[] For example | |
| 1067 | ||
| 1068 | \begin{center}
 | |
| 1069 | \begin{tabular}{lcl@{\hspace{10mm}}l}
 | |
| 1070 | \bl{$A^4$} & \bl{$=$} & \bl{$A \,@\, A \,@\, A \,@\, A$} & \bl{$(@\,\{[]\})$}\\
 | |
| 1071 | \bl{$A^1$} & \bl{$=$} & \bl{$A$} & \bl{$(@\,\{[]\})$}\\
 | |
| 1072 | \bl{$A^0$} & \bl{$=$} & \bl{$\{[]\}$}\\
 | |
| 1073 | \end{tabular}
 | |
| 1074 | \end{center}
 | |
| 1075 | ||
| 1076 | \end{itemize}  
 | |
| 1077 | ||
| 1078 | \end{frame}
 | |
| 1079 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1080 | ||
| 1081 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1082 | \begin{frame}[c]
 | |
| 631 | 1083 |   \frametitle{The Star Operation}
 | 
| 1084 | ||
| 1085 |   \begin{itemize}
 | |
| 1086 |   \item The \alert{\bf Kleene Star} of a \underline{language}:
 | |
| 1087 | \bigskip | |
| 1088 | ||
| 1089 |   \begin{center}
 | |
| 1090 |   \begin{tabular}{c}
 | |
| 1091 |   \bl{$A\star \dn \bigcup_{0\le n} A^n$}
 | |
| 1092 |   \end{tabular}
 | |
| 1093 |   \end{center}\bigskip
 | |
| 1094 | ||
| 1095 | \item[] This expands to | |
| 1096 | ||
| 1097 | \[ | |
| 1098 |   \bl{A^0 \cup A^1 \cup A^2 \cup A^3 \cup A^4 \cup \ldots}
 | |
| 1099 | \] | |
| 1100 | ||
| 1101 | or | |
| 1102 | ||
| 1103 | \small | |
| 1104 | \[ | |
| 1105 |   \bl{\{[]\} \;\cup\; A \;\cup\; A\,@\,A \;\cup\; 
 | |
| 1106 | A\,@\,A\,@\,A \;\cup\; A\,@\,A\,@\,A\,@\,A \cup \ldots} | |
| 1107 | \] | |
| 1108 | ||
| 1109 |   \end{itemize}  
 | |
| 1110 | ||
| 1111 |   \end{frame}
 | |
| 1112 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1113 | ||
| 1114 | ||
| 0 | 1115 | |
| 1116 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1117 | \begin{frame}[c]
 | |
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changeset | 1118 | \frametitle{Written Exam}
 | 
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changeset | 1119 | |
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changeset | 1120 | \begin{itemize}
 | 
| 428 
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changeset | 1121 | \item Accounts for 80\%.\bigskip | 
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changeset | 1122 | |
| 559 | 1123 | \item The question ``\textit{Is this relevant for
 | 
| 330 
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changeset | 1124 | the exam?}'' is very demotivating for the lecturer!\bigskip\\ | 
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changeset | 1125 | |
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changeset | 1126 | \item Deal: Whatever is in the homework (and is not marked | 
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changeset | 1127 |       ``\textit{optional}'') is relevant for the exam.\bigskip
 | 
| 
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changeset | 1128 | |
| 
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changeset | 1129 | \item Each lecture has also a handout. There are also handouts about | 
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changeset | 1130 | notation and Scala. | 
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changeset | 1131 | \end{itemize}
 | 
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changeset | 1132 | |
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changeset | 1133 | \end{frame}
 | 
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changeset | 1134 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
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changeset | 1135 | |
| 
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changeset | 1136 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
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changeset | 1137 | \begin{frame}[t]
 | 
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changeset | 1138 | \frametitle{Coursework}
 | 
| 0 | 1139 | |
| 1140 | \begin{itemize}
 | |
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changeset | 1141 | \item Accounts for 20\%. Two strands. Choose \alert{\bf one}!\bigskip
 | 
| 0 | 1142 | \end{itemize}
 | 
| 1143 | ||
| 255 
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changeset | 1144 | \begin{columns}[t]
 | 
| 
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changeset | 1145 | \begin{column}{.5\textwidth}
 | 
| 
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changeset | 1146 | \underline{\bf Strand 1}\medskip
 | 
| 253 
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changeset | 1147 | \begin{itemize}
 | 
| 631 | 1148 | \item 4 programming tasks: | 
| 253 
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changeset | 1149 | \begin{itemize}
 | 
| 631 | 1150 | \item matcher (4\%, 11.10.) | 
| 1151 | \item lexer (5\%, 04.11.) | |
| 1152 | \item parser (5\%, 22.11.) | |
| 1153 | \item compiler (6\%, 13.12.) | |
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changeset | 1154 | \end{itemize}
 | 
| 631 | 1155 | \item in any lang.~you like,\\ but I want to see the\\ code | 
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changeset | 1156 | \end{itemize}
 | 
| 
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changeset | 1157 | \end{column}
 | 
| 
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changeset | 1158 | |
| 
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changeset | 1159 | \hspace{-45pt}\vrule{}\hspace{10pt}
 | 
| 255 
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changeset | 1160 | \begin{column}{.5\textwidth}
 | 
| 
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changeset | 1161 | \underline{\bf Strand 2}\smallskip\begin{itemize}
 | 
| 253 
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changeset | 1162 | \item one task: prove the correctness of a regular expression matcher in | 
| 559 | 1163 | the \underline{Isabelle} theorem prover
 | 
| 631 | 1164 | \item 20\%, submission on~13.12.\hspace{-5mm}\mbox{}
 | 
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changeset | 1165 | \end{itemize}
 | 
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changeset | 1166 | \end{column}
 | 
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changeset | 1167 | \end{columns}\medskip
 | 
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changeset | 1168 | |
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changeset | 1169 | \small | 
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changeset | 1170 | \begin{itemize}
 | 
| 
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changeset | 1171 | \item Solving more than one strand will {\bf not} give you more 
 | 
| 506 | 1172 | marks. | 
| 1173 | ||
| 253 
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changeset | 1174 | \end{itemize}
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| 
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changeset | 1175 | |
| 
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changeset | 1176 | \end{frame}
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| 0 | 1177 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 1178 | ||
| 255 
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changeset | 1180 | \begin{frame}[c]
 | 
| 506 | 1181 | \frametitle{Lecture Capture}
 | 
| 1182 | ||
| 1183 | \begin{itemize}
 | |
| 559 | 1184 | \item Hope it works\ldots\pause actually no, it does not!\medskip\pause | 
| 1185 | \item It is important to use lecture capture wisely\\ (it is only the ``baseline''): | |
| 506 | 1186 | \begin{itemize}  
 | 
| 1187 | \item Lecture recordings are a study and revision aid. | |
| 1188 | \item Statistically, there is a clear and direct link between attendance and | |
| 637 | 1189 | attainment: students who do not attend lectures, do less well in exams. | 
| 506 | 1190 | \end{itemize}
 | 
| 1191 | ||
| 1192 | \item Attending a lecture is more than watching it online -- if you do not | |
| 1193 | attend, you miss out! | |
| 1194 | ||
| 1195 | \end{itemize}
 | |
| 1196 | ||
| 1197 | \end{frame}
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| 1198 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1199 | ||
| 1200 | ||
| 1201 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | |
| 1202 | \begin{frame}[c]
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changeset | 1203 | \frametitle{\begin{tabular}{c}\\[3cm]\alert{Questions?}\end{tabular}}
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changeset | 1204 | |
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changeset | 1205 | \mbox{}
 | 
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changeset | 1206 | \end{frame}
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changeset | 1207 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | 
| 0 | 1208 | \end{document}
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| 1209 | ||
| 1210 | %%% Local Variables: | |
| 1211 | %%% mode: latex | |
| 1212 | %%% TeX-master: t | |
| 1213 | %%% End: | |
| 1214 |