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% !TEX program = xelatex
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\documentclass[dvipsnames,14pt,t]{beamer}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\usepackage{../slides}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\usepackage{../graphics}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\usepackage{../langs}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\usepackage{../data}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\usepackage{../grammar}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\hfuzz=220pt
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\pgfplotsset{compat=1.11}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\newcommand{\bl}[1]{\textcolor{blue}{#1}}
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% beamer stuff
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\renewcommand{\slidecaption}{CFL 05, King's College London}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{document}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{frame}[t]
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\frametitle{%
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\begin{tabular}{@ {}c@ {}}
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\\[-3mm]
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\LARGE Compilers and \\[-2mm]
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\LARGE Formal Languages (5)\\[3mm]
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\end{tabular}}
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\normalsize
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\begin{center}
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\begin{tabular}{ll}
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Email: & christian.urban at kcl.ac.uk\\
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Office Hours: & Thursdays 12 -- 14\\
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Location: & N7.07 (North Wing, Bush House)\\
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Slides \& Progs: & KEATS (also homework is there)\\
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\end{tabular}
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\end{center}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\end{frame}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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667
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c]
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\frametitle{Coursework 1: Submissions}
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\begin{itemize}
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\item Scala (29)
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\item Haskell (1)
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\item Kotlin (1)
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\item Rust (1)
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\end{itemize}\bigskip\bigskip
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\small
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Please get in contact if you intend to do CW Strand 2. No zips please.
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Give definitions also on paper if asked. BTW, simp
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can stay unchanged. Use \texttt{ders} for CW2, not \texttt{ders2}!
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c]
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\frametitle{\begin{tabular}{c}Last Week\\[-2mm]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Regexes and Values\end{tabular}}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Regular expressions and their corresponding values:
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{center}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{columns}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{column}{3cm}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{tabular}{@{}rrl@{}}
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\bl{$r$} & \bl{$::=$} & \bl{$\ZERO$}\\
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& \bl{$\mid$} & \bl{$\ONE$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$c$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$r_1 \cdot r_2$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$r_1 + r_2$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$r^*$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\end{tabular}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\end{column}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{column}{3cm}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{tabular}{@{\hspace{-7mm}}rrl@{}}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\bl{$v$} & \bl{$::=$} & \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& & \bl{$Empty$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$Char(c)$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$Seq(v_1,v_2)$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$Left(v)$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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& \bl{$\mid$} & \bl{$Right(v)$} \\
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& \bl{$\mid$} & \bl{$Stars [v_1,\ldots\,v_n]$} \\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\end{tabular}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\end{column}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\end{columns}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\end{center}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\end{frame}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{frame}[c]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{textblock}{10}(3,5)
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\begin{tikzpicture}[scale=2,node distance=1.3cm,every node/.style={minimum size=8mm}]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\node (r1) {\bl{$r_1$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\node (r2) [right=of r1] {\bl{$r_2$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\draw[->,line width=1mm] (r1) -- (r2) node[above,midway] {\bl{$der\,a$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\node (r3) [right=of r2] {\bl{$r_3$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\draw[->,line width=1mm] (r2) -- (r3) node[above,midway] {\bl{$der\,b$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\node (r4) [right=of r3] {\bl{$r_4$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\draw[->,line width=1mm] (r3) -- (r4) node[above,midway] {\bl{$der\,c$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\draw (r4) node[anchor=west] {\;\raisebox{3mm}{\bl{$nullable$}}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\node (v4) [below=of r4] {\bl{$v_4$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\draw[->,line width=1mm] (r4) -- (v4);
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\node (v3) [left=of v4] {\bl{$v_3$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\draw[->,line width=1mm] (v4) -- (v3) node[below,midway] {\bl{$inj\,c$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\node (v2) [left=of v3] {\bl{$v_2$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\draw[->,line width=1mm] (v3) -- (v2) node[below,midway] {\bl{$inj\,b$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\node (v1) [left=of v2] {\bl{$v_1$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\draw[->,line width=1mm] (v2) -- (v1) node[below,midway] {\bl{$inj\,a$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\draw[->,line width=0.5mm] (r3) -- (v3);
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\draw[->,line width=0.5mm] (r2) -- (v2);
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\draw[->,line width=0.5mm] (r1) -- (v1);
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\draw (r4) node[anchor=north west] {\;\raisebox{-8mm}{\bl{$mkeps$}}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{tikzpicture}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{textblock}
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147
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\begin{textblock}{6}(1,0.8)
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\begin{bubble}[6cm]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\small
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\begin{tabular}{ll}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\bl{$r_1$}: & \bl{$a \cdot (b \cdot c)$}\\
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445
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\bl{$r_2$}: & \bl{$\ONE \cdot (b \cdot c)$}\\
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\bl{$r_3$}: & \bl{$(\ZERO \cdot (b \cdot c)) + (\ONE \cdot c)$}\\
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\bl{$r_4$}: & \bl{$(\ZERO \cdot (b \cdot c)) + ((\ZERO \cdot c) + \ONE)$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{tabular}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{bubble}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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\end{textblock}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\begin{textblock}{6}(1,11.4)
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\begin{bubble}[7.6cm]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\small
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\begin{tabular}{ll}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\bl{$v_1$}: & \bl{$Seq(Char(a), Seq(Char(b), Char(c)))$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\bl{$v_2$}: & \bl{$Seq(Empty, Seq(Char(b), Char(c)))$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\bl{$v_3$}: & \bl{$Right(Seq(Empty, Char(c)))$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\bl{$v_4$}: & \bl{$Right(Right(Empty))$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{tabular}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{bubble}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{textblock}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\begin{textblock}{6}(12,11.4)
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\begin{bubble}[2cm]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\small
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\begin{tabular}{ll}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\bl{$|v_1|$}: & \bl{$abc$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\bl{$|v_2|$}: & \bl{$bc$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\bl{$|v_3|$}: & \bl{$c$}\\
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\bl{$|v_4|$}: & \bl{$[]$}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\end{tabular}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\end{bubble}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\end{textblock}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
163 |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\begin{frame}[c]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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\frametitle{Simplification}
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\begin{itemize}
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
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173 |
\item If we simplify after the derivative, then we are builing the
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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value for the simplified regular expression, but \emph{not} for the original
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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changeset
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regular expression.
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\end{itemize}
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44
|
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147
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\begin{center}
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\begin{tikzpicture}[scale=2,node distance=1.3cm,every node/.style={minimum size=8mm}]
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\node (r1) {\bl{$r_1$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\node (r2) [right=of r1] {\bl{$r_2$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
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\draw[->,line width=1mm] (r1) -- (r2) node[above,midway] {\bl{$der\,a$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
183 |
\node (r3) [right=of r2] {\bl{$r_3$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
184 |
\draw[->,line width=1mm] (r2) -- (r3) node[above,midway] {\bl{$der\,b$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
185 |
\node (r4) [right=of r3] {\bl{$r_4$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
186 |
\draw[->,line width=1mm] (r3) -- (r4) node[above,midway] {\bl{$der\,c$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
187 |
\draw (r4) node[anchor=west] {\;\raisebox{3mm}{\bl{$nullable$}}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
188 |
\node (v4) [below=of r4] {\bl{$v_4$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
189 |
\draw[->,line width=1mm] (r4) -- (v4);
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
190 |
\node (v3) [left=of v4] {\bl{$v_3$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
191 |
\draw[->,line width=1mm] (v4) -- (v3) node[below,midway] {\bl{$inj\,c$}};
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Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
192 |
\node (v2) [left=of v3] {\bl{$v_2$}};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
193 |
\draw[->,line width=1mm] (v3) -- (v2) node[below,midway] {\bl{$inj\,b$}};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
194 |
\node (v1) [left=of v2] {\bl{$v_1$}};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
195 |
\draw[->,line width=1mm] (v2) -- (v1) node[below,midway] {\bl{$inj\,a$}};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
196 |
\draw[->,line width=0.5mm] (r3) -- (v3);
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
197 |
\draw[->,line width=0.5mm] (r2) -- (v2);
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
198 |
\draw[->,line width=0.5mm] (r1) -- (v1);
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
199 |
\draw (r4) node[anchor=north west] {\;\raisebox{-8mm}{\bl{$mkeps$}}};
|
147
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
200 |
\end{tikzpicture}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
201 |
\end{center}
|
|
44
|
202 |
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
203 |
\small
|
|
445
|
204 |
\hspace{4.5cm}\bl{$(b \cdot c) + (\ZERO + \ONE)$}
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
205 |
$\mapsto$
|
|
445
|
206 |
\bl{$(b \cdot c) + \ONE$}
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
207 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
208 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
209 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
210 |
|
|
528
|
211 |
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
212 |
% \begin{frame}[t]
|
361
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
213 |
|
|
528
|
214 |
% \begin{center}
|
|
|
215 |
% \bl{$\only<1>{(b \cdot c)}%
|
|
|
216 |
% \only<2-3>{(\underline{b \cdot c})}%
|
|
|
217 |
% \only<1-3>{+}%
|
|
|
218 |
% \only<1>{(\ZERO + \ONE)}%
|
|
|
219 |
% \only<2-3>{(\underline{\ZERO + \ONE})}$}%
|
|
|
220 |
% \only<4->{%
|
|
|
221 |
% \bl{$\underline{(b \cdot c) + (\ZERO + \ONE)}$}%
|
|
|
222 |
% }
|
|
|
223 |
% $\mapsto$
|
|
|
224 |
% \bl{$(b \cdot c) + \ONE$}
|
|
|
225 |
% \end{center}\bigskip
|
361
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
226 |
|
|
528
|
227 |
% \onslide<3->{%
|
|
|
228 |
% \begin{center}
|
|
|
229 |
% \begin{tabular}{lcl}
|
|
|
230 |
% \bl{$f_{s1}$} & \bl{$=$} & \bl{$\lambda v.v$}\\
|
|
|
231 |
% \bl{$f_{s2}$} & \bl{$=$} & \bl{$\lambda v. \textit{Right}(v)$}
|
|
|
232 |
% \end{tabular}
|
|
|
233 |
% \end{center}}
|
361
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
234 |
|
|
528
|
235 |
% \only<4>{%
|
|
|
236 |
% \begin{center}
|
|
|
237 |
% \begin{tabular}{@{}l@{\hspace{1mm}}l@{}}
|
|
|
238 |
% \bl{$f_{alt}(f_{s1}, f_{s2}) \dn$}\\
|
|
|
239 |
% \quad \bl{$\lambda v.\,$}
|
|
|
240 |
% case \bl{$v = Left(v')$}:
|
|
|
241 |
% & return \bl{$Left(f_{s1}(v'))$}\\
|
|
|
242 |
% \quad \phantom{$\lambda v.\,$}
|
|
|
243 |
% case \bl{$v = Right(v')$}:
|
|
|
244 |
% & return \bl{$Right(f_{s2}(v'))$}\\
|
|
|
245 |
% \end{tabular}
|
|
|
246 |
% \end{center}}%
|
|
|
247 |
% \only<5->{%
|
|
|
248 |
% \begin{center}
|
|
|
249 |
% \begin{tabular}{@{}l@{\hspace{1mm}}l@{}}
|
|
|
250 |
% \only<5->{\phantom{\bl{$f_{alt}(f_{s1}, f_{s2}) \dn$}}}\\
|
|
|
251 |
% \quad \bl{$\lambda v.\,$}
|
|
|
252 |
% case \bl{$v = Left(v')$}:
|
|
|
253 |
% & return \bl{$Left(v')$}\\
|
|
|
254 |
% \quad \phantom{$\lambda v.\,$}
|
|
|
255 |
% case \bl{$v = Right(v')$}:
|
|
|
256 |
% & return \bl{$Right(Right(v'))$}\\
|
|
|
257 |
% \end{tabular}
|
|
|
258 |
% \end{center}}%
|
361
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
259 |
|
|
528
|
260 |
% \only<6->{%
|
|
|
261 |
% \begin{center}
|
|
|
262 |
% \begin{tabular}{@{}l@{\hspace{4mm}}l@{}}
|
|
|
263 |
% \bl{$\textit{mkeps}$} simplified case: &
|
|
|
264 |
% \bl{$\textit{Right}(\textit{Empty})$}\\
|
|
|
265 |
% rectified case: &
|
|
|
266 |
% \bl{$\textit{Right}(\textit{Right}(\textit{Empty}))$}
|
|
|
267 |
% \end{tabular}
|
|
|
268 |
% \end{center}}%
|
361
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
269 |
|
|
528
|
270 |
% \end{frame}
|
|
|
271 |
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
361
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
272 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
273 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
274 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
275 |
\frametitle{Records}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
276 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
277 |
\begin{itemize}
|
|
583
|
278 |
\item new regex: \bl{$(x:r)$}\hspace{7mm}new value: \bl{$Rec(x,v)$}\medskip\pause
|
|
44
|
279 |
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
280 |
\item \bl{$nullable(x:r) \dn nullable(r)$}
|
|
583
|
281 |
\item \bl{$der\,c\,(x:r) \dn (x:der\,c\,r)$}
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
282 |
\item \bl{$mkeps(x:r) \dn Rec(x, mkeps(r))$}
|
|
583
|
283 |
\item \bl{$inj\,(x:r)\,c\,Rec(x, v) \dn Rec(x, inj\,r\,c\,v)$}
|
|
|
284 |
\end{itemize}\bigskip\bigskip\pause
|
|
44
|
285 |
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
286 |
\small
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
287 |
for extracting subpatterns \bl{$(z: ((x:ab) + (y:ba))$}
|
|
44
|
288 |
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
289 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
290 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
46
|
291 |
|
|
583
|
292 |
|
148
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
293 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
294 |
\begin{frame}[c]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
295 |
\frametitle{Environments}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
296 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
297 |
Obtaining the ``recorded'' parts of a value:
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
298 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
299 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
300 |
\begin{tabular}{lcl}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
301 |
\bl{$env(Empty)$} & \bl{$\dn$} & \bl{$[]$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
302 |
\bl{$env(Char(c))$} & \bl{$\dn$} & \bl{$[]$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
303 |
\bl{$env(Left(v))$} & \bl{$\dn$} & \bl{$env(v)$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
304 |
\bl{$env(Right(v))$} & \bl{$\dn$} & \bl{$env(v)$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
305 |
\bl{$env(Seq(v_1,v_2))$}& \bl{$\dn$} & \bl{$env(v_1) \,@\, env(v_2)$}\\
|
|
664
|
306 |
\bl{$env(Stars [v_1,\ldots ,v_n])$} & \bl{$\dn$} &
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
307 |
\bl{$env(v_1) \,@\ldots @\, env(v_n)$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
308 |
\bl{$env(Rec(x:v))$} & \bl{$\dn$} & \bl{$(x:|v|) :: env(v)$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
309 |
\end{tabular}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
310 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
311 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
312 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
313 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
314 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
315 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
316 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
317 |
\begin{frame}[c]
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
318 |
\frametitle{While Tokens}
|
150
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
319 |
|
148
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
320 |
\begin{center}
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
321 |
\begin{tabular}{@{}r@{\hspace{2mm}}c@{\hspace{2mm}}l@{}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
322 |
\pcode{WHILE\_REGS} & $\dn$ & \raisebox{-1mm}{\large(}\pcode{("k" : KEYWORD)} +\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
323 |
& & \phantom{(}\pcode{("i" : ID)} +\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
324 |
& & \phantom{(}\pcode{("o" : OP)} + \\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
325 |
& & \phantom{(}\pcode{("n" : NUM)} + \\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
326 |
& & \phantom{(}\pcode{("s" : SEMI)} +\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
327 |
& & \phantom{(}\pcode{("p" : (LPAREN + RPAREN))} +\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
328 |
& & \phantom{(}\pcode{("b" : (BEGIN + END))} +\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
329 |
& & \phantom{(}\pcode{("w" : WHITESPACE)}\raisebox{-1mm}{\large)$^*$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
330 |
\end{tabular}
|
148
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
331 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
332 |
|
289
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
333 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
334 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
148
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
335 |
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
336 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
337 |
|
148
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
338 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
339 |
\begin{frame}[t]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
340 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
341 |
\consolas
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
342 |
\begin{center}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
343 |
\code{"if true then then 42 else +"}
|
148
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
344 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
345 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
346 |
\only<1>{
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
347 |
\small\begin{tabular}{l}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
348 |
KEYWORD(if),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
349 |
WHITESPACE,\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
350 |
IDENT(true),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
351 |
WHITESPACE,\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
352 |
KEYWORD(then),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
353 |
WHITESPACE,\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
354 |
KEYWORD(then),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
355 |
WHITESPACE,\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
356 |
NUM(42),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
357 |
WHITESPACE,\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
358 |
KEYWORD(else),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
359 |
WHITESPACE,\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
360 |
OP(+)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
361 |
\end{tabular}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
362 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
363 |
\only<2>{
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
364 |
\small\begin{tabular}{l}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
365 |
KEYWORD(if),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
366 |
IDENT(true),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
367 |
KEYWORD(then),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
368 |
KEYWORD(then),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
369 |
NUM(42),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
370 |
KEYWORD(else),\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
371 |
OP(+)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
372 |
\end{tabular}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
373 |
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
374 |
\end{frame}
|
148
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
375 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
376 |
|
|
664
|
377 |
|
|
582
|
378 |
|
|
|
379 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
664
|
380 |
%\begin{frame}[c]
|
|
|
381 |
%\frametitle{Coursework: PLs (16)}
|
|
|
382 |
%
|
|
|
383 |
%\begin{itemize}
|
|
|
384 |
%\item Java (16)
|
|
|
385 |
%\item C++, C, C\# (14)
|
|
|
386 |
%\item JavaScript (10)
|
|
|
387 |
%\item Scala (9)
|
|
|
388 |
%\item Python (9)
|
|
|
389 |
%\item PHP (6)
|
|
|
390 |
%\item Haskell (3)
|
|
|
391 |
%\item Ruby (4)
|
|
|
392 |
%\item Bash, Perl, Powershell (2)
|
|
|
393 |
%\item TypeScript (1)
|
|
|
394 |
%\item R (1)
|
|
|
395 |
%\item Coconut (1)
|
|
|
396 |
%\item Pascal (1)
|
|
|
397 |
%\end{itemize}
|
|
|
398 |
%
|
|
|
399 |
%\end{frame}
|
|
528
|
400 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
150
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
401 |
|
290
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
402 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
664
|
403 |
%\begin{frame}[c]
|
|
|
404 |
%\frametitle{Coursework: Nullable}
|
|
|
405 |
%
|
|
|
406 |
%\begin{center}
|
|
|
407 |
%\begin{tabular}{@ {}l@ {\hspace{2mm}}c@ {\hspace{2mm}}l@ {}}
|
|
|
408 |
% \bl{$nullable([c_1 c_2 \ldots c_n])$} & \bl{$\dn$} & $?$\\
|
|
|
409 |
% \bl{$nullable(r^+)$} & \bl{$\dn$} & $?$\\
|
|
|
410 |
% \bl{$nullable(r^?)$} & \bl{$\dn$} & $?$\\
|
|
|
411 |
% \bl{$nullable(r^{\{n\}})$} & \bl{$\dn$} & $?$\\
|
|
|
412 |
% \bl{$nullable(r^{\{n..\}})$} & \bl{$\dn$} & $?$\\
|
|
|
413 |
% \bl{$nullable(r^{\{..n\}})$} & \bl{$\dn$} & $?$\\
|
|
|
414 |
% \bl{$nullable(r^{\{n..m\}})$} & \bl{$\dn$} & $?$\\
|
|
|
415 |
% \bl{$nullable(\sim{}r)$} & \bl{$\dn$} & $?$\\
|
|
|
416 |
%
|
|
|
417 |
%\end{tabular}
|
|
|
418 |
%\end{center}
|
|
|
419 |
%
|
|
|
420 |
%\end{frame}
|
290
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
421 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
150
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
422 |
|
|
528
|
423 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
664
|
424 |
%\begin{frame}[c]
|
|
|
425 |
%%%\frametitle{Coursework: der}
|
|
|
426 |
%
|
|
|
427 |
%\begin{center}
|
|
|
428 |
%\begin{tabular}{@ {}l@ {\hspace{1mm}}c@ {\hspace{1mm}}l@ {}}
|
|
|
429 |
% \bl{$der\, c\, ([c_1 c_2 \ldots c_n])$} & \bl{$\dn$} & $?$\\
|
|
|
430 |
% \bl{$der\, c\, (r^+)$} & \bl{$\dn$} & $?$\\
|
|
|
431 |
% \bl{$der\, c\, (r^?)$} & \bl{$\dn$} & $?$\\
|
|
|
432 |
% \bl{$der\, c\, (r^{\{n\}})$} & \bl{$\dn$} &
|
|
|
433 |
% \bl{$if\;n=0\;then\;\ZERO\;else\;(der\,c\,r)\cdot r^{\{n-\liningnums{1}\}}$}\\
|
|
|
434 |
% \bl{$der\, c\, (r^{\{n..\}})$} & \bl{$\dn$} &
|
|
|
435 |
% \bl{$if\;n=0\;then (der\,c\,r)\cdot r^*$}\\
|
|
|
436 |
% & & \bl{$\phantom{if\;n=0\;}else \;(der\,c\,r)\cdot r^{\{n-\liningnums{1}..\}}$}\\
|
|
|
437 |
% \bl{$der\, c\, (r^{\{..n\}})$} & \bl{$\dn$} &
|
|
|
438 |
% \bl{$if\;n=0\;then\;\ZERO\;else\;(der\,c\,r)\cdot r^{\{..n-\liningnums{1}\}}$}\\
|
|
|
439 |
%
|
|
|
440 |
% \bl{$der\, c\, (r^{\{n..m\}})$} & \bl{$\dn$} &
|
|
|
441 |
% \bl{$if\;n = 0 \wedge m = 0\;then\;\ZERO\; else$}\\
|
|
|
442 |
% \multicolumn{3}{l}{\bl{$if\;n = 0 \wedge m > 0\;then\;(der\,c\,r)\cdot r^{\{..m-\liningnums{1}\}}$}}\\
|
|
|
443 |
% \multicolumn{3}{l}{\bl{$\phantom{if\;n = 0 \wedge m > 0\;}else
|
|
|
444 |
% \;(der\,c\,r)\cdot r^{\{n-\liningnums{1}..m-\liningnums{1}\}}$}}\\
|
|
|
445 |
% \bl{$der\, c\, (\sim{}r)$} & \bl{$\dn$} & $?$\\
|
|
|
446 |
%\end{tabular}
|
|
|
447 |
%\end{center}
|
|
|
448 |
%
|
|
|
449 |
%\end{frame}
|
|
|
450 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
528
|
451 |
|
|
664
|
452 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
453 |
%\begin{frame}[c]
|
|
|
454 |
%\frametitle{Coursework: CFUN}
|
|
|
455 |
%
|
|
|
456 |
%\begin{center}
|
|
|
457 |
%\begin{tabular}{@ {}l@ {\hspace{2mm}}c@ {\hspace{2mm}}l@ {}}
|
|
|
458 |
% \bl{$nullable(CFUN(\_))$} & \bl{$\dn$} & \bl{$false$}\\
|
|
|
459 |
% \bl{$der\,c\,(CFUN(f))$} & \bl{$\dn$} &
|
|
|
460 |
% \bl{$if\;f(c)\;then\;\ONE\;else\;\ZERO$}\bigskip\\
|
|
|
461 |
% \bl{$CHAR(c)$} & \bl{$\dn$} & \bl{$CFUN(\lambda{}d.\;c=d)$}\\
|
|
|
462 |
% \bl{$CSET([c_1,\ldots,c_n])$} & \bl{$\dn$} & \bl{$CFUN(\lambda{}d.\;d\in [c_1,\ldots,c_n])$}\\
|
|
|
463 |
% \bl{$ALL$} & \bl{$\dn$} & \bl{$CFUN(\lambda{}d.\;true)$}\\
|
|
|
464 |
%\end{tabular}
|
|
|
465 |
%\end{center}
|
|
|
466 |
%
|
|
|
467 |
%\end{frame}
|
|
528
|
468 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
582
|
469 |
|
|
528
|
470 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
471 |
\begin{frame}[t]
|
|
|
472 |
\frametitle{Lexer, Parser}
|
|
|
473 |
\mbox{}\\[-16mm]\mbox{}
|
|
|
474 |
|
|
|
475 |
\begin{center}
|
|
|
476 |
\begin{tikzpicture}[scale=1,
|
|
|
477 |
node/.style={
|
|
|
478 |
rectangle,rounded corners=3mm,
|
|
|
479 |
very thick,draw=black!50,
|
|
|
480 |
minimum height=18mm, minimum width=20mm,
|
|
|
481 |
top color=white,bottom color=black!20}]
|
|
|
482 |
\node (0) at (-2.3,0) {};
|
|
|
483 |
|
|
|
484 |
\node (A) at (0,0) [node] {};
|
|
|
485 |
\node [below right] at (A.north west) {lexer};
|
|
|
486 |
|
|
|
487 |
\node (B) at (3,0) [node] {};
|
|
|
488 |
\node [below right=1mm] at (B.north west)
|
|
|
489 |
{\mbox{}\hspace{-1mm}parser};
|
|
|
490 |
|
|
|
491 |
\node (C) at (6,0) [node] {};
|
|
|
492 |
\node [below right] at (C.north west)
|
|
|
493 |
{\mbox{}\hspace{-1mm}code gen};
|
|
|
494 |
|
|
|
495 |
\node (1) at (8.4,0) {};
|
|
|
496 |
|
|
|
497 |
\draw [->,line width=4mm] (0) -- (A);
|
|
|
498 |
\draw [->,line width=4mm] (A) -- (B);
|
|
|
499 |
\draw [->,line width=4mm] (B) -- (C);
|
|
|
500 |
\draw [->,line width=4mm] (C) -- (1);
|
|
|
501 |
\end{tikzpicture}
|
|
|
502 |
\end{center}
|
|
|
503 |
|
|
|
504 |
Today a parser.
|
|
|
505 |
|
|
|
506 |
\end{frame}
|
|
|
507 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
508 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
509 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
510 |
\begin{frame}[c]
|
|
550
|
511 |
\frametitle{What Parsing is Not}
|
|
|
512 |
|
|
|
513 |
Usually parsing does not check semantic correctness, e.g.
|
|
|
514 |
|
|
|
515 |
\begin{itemize}
|
|
|
516 |
\item whether a function is not used before it
|
|
|
517 |
is defined
|
|
|
518 |
\item whether a function has the correct number of arguments
|
|
|
519 |
or are of correct type
|
|
|
520 |
\item whether a variable can be declared twice in a scope
|
|
|
521 |
\end{itemize}
|
|
|
522 |
|
|
|
523 |
\end{frame}
|
|
|
524 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
525 |
|
|
|
526 |
|
|
|
527 |
|
|
|
528 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
529 |
\begin{frame}[c]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
530 |
\frametitle{Regular Languages}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
531 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
532 |
While regular expressions are very useful for lexing, there is
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
533 |
no regular expression that can recognise the language
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
534 |
\bl{$a^nb^n$}.\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
535 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
536 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
537 |
\bl{$(((()()))())$} \;\;vs.\;\; \bl{$(((()()))()))$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
538 |
\end{center}\bigskip\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
539 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
540 |
\small
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
541 |
\noindent So we cannot find out with regular expressions
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
542 |
whether parentheses are matched or unmatched. Also regular
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
543 |
expressions are not recursive, e.g.~\bl{$(1 + 2) + 3$}.
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
544 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
545 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
546 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
547 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
548 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
549 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
550 |
\frametitle{Hierarchy of Languages}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
551 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
552 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
553 |
\begin{tikzpicture}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
554 |
[rect/.style={draw=black!50,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
555 |
top color=white,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
556 |
bottom color=black!20,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
557 |
rectangle,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
558 |
very thick,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
559 |
rounded corners}, scale=1.2]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
560 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
561 |
\draw (0,0) node [rect, text depth=39mm, text width=68mm] {all languages};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
562 |
\draw (0,-0.4) node [rect, text depth=28.5mm, text width=64mm] {decidable languages};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
563 |
\draw (0,-0.85) node [rect, text depth=17mm] {context sensitive languages};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
564 |
\draw (0,-1.14) node [rect, text depth=9mm, text width=50mm] {context-free languages};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
565 |
\draw (0,-1.4) node [rect] {regular languages};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
566 |
\end{tikzpicture}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
567 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
568 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
569 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
570 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
571 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
572 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
573 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
574 |
\begin{frame}[c]
|
360
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
575 |
\frametitle{CF Grammars}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
576 |
|
360
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
577 |
A \alert{\bf context-free grammar} \bl{$G$} consists of
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
578 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
579 |
\begin{itemize}
|
|
664
|
580 |
\item a finite set of nonterminal symbols (e.g.~$\meta{A}$ upper case)
|
|
|
581 |
\item a finite set terminal symbols or tokens (lower case)
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
582 |
\item a start symbol (which must be a nonterminal)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
583 |
\item a set of rules
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
584 |
\begin{center}
|
|
451
|
585 |
\bl{$\meta{A} ::= \textit{rhs}$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
586 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
587 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
588 |
where \bl{\textit{rhs}} are sequences involving terminals and nonterminals,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
589 |
including the empty sequence \bl{$\epsilon$}.\medskip\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
590 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
591 |
We also allow rules
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
592 |
\begin{center}
|
|
451
|
593 |
\bl{$\meta{A} ::= \textit{rhs}_1 | \textit{rhs}_2 | \ldots$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
594 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
595 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
596 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
597 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
598 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
599 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
600 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
582
|
601 |
\begin{frame}[t]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
602 |
\frametitle{Palindromes}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
603 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
604 |
A grammar for palindromes over the alphabet~\bl{$\{a,b\}$}:
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
605 |
|
|
451
|
606 |
\bl{\begin{plstx}[margin=3cm]
|
|
|
607 |
: \meta{S} ::= a\cdot\meta{S}\cdot a\\
|
|
|
608 |
: \meta{S} ::= b\cdot\meta{S}\cdot b\\
|
|
588
|
609 |
: \meta{S} ::= a\\
|
|
|
610 |
: \meta{S} ::= b\\
|
|
|
611 |
: \meta{S} ::= \epsilon\\
|
|
451
|
612 |
\end{plstx}}\pause
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
613 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
614 |
or
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
615 |
|
|
451
|
616 |
\bl{\begin{plstx}[margin=2cm]
|
|
588
|
617 |
: \meta{S} ::= a\cdot \meta{S}\cdot a | b\cdot \meta{S}\cdot b | a | b | \epsilon\\
|
|
451
|
618 |
\end{plstx}}\pause\bigskip
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
619 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
620 |
\small
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
621 |
Can you find the grammar rules for matched parentheses?
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
622 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
623 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
624 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
625 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
626 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
627 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
628 |
\frametitle{Arithmetic Expressions}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
629 |
|
|
451
|
630 |
\bl{\begin{plstx}[margin=3cm,one per line]
|
|
|
631 |
: \meta{E} ::= num\_token
|
|
|
632 |
| \meta{E} \cdot + \cdot \meta{E}
|
|
|
633 |
| \meta{E} \cdot - \cdot \meta{E}
|
|
|
634 |
| \meta{E} \cdot * \cdot \meta{E}
|
|
|
635 |
| ( \cdot \meta{E} \cdot ) \\
|
|
|
636 |
\end{plstx}}\pause
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
637 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
638 |
\bl{\texttt{1 + 2 * 3 + 4}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
639 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
640 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
641 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
642 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
643 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
644 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
645 |
\frametitle{A CFG Derivation}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
646 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
647 |
\begin{enumerate}
|
|
451
|
648 |
\item Begin with a string containing only the start symbol, say \bl{\meta{S}}\bigskip
|
|
|
649 |
\item Replace any nonterminal \bl{\meta{X}} in the string by the
|
|
|
650 |
right-hand side of some production \bl{$\meta{X} ::= \textit{rhs}$}\bigskip
|
|
582
|
651 |
\item Repeat 2 until there are no nonterminals left
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
652 |
\end{enumerate}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
653 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
654 |
\begin{center}
|
|
451
|
655 |
\bl{$\meta{S} \rightarrow \ldots \rightarrow \ldots \rightarrow \ldots \rightarrow \ldots $}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
656 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
657 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
658 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
659 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
660 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
661 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
451
|
662 |
\begin{frame}[t]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
663 |
\frametitle{Example Derivation}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
664 |
|
|
451
|
665 |
\bl{\begin{plstx}[margin=2cm]
|
|
|
666 |
: \meta{S} ::= \epsilon | a\cdot \meta{S}\cdot a | b\cdot \meta{S}\cdot b \\
|
|
|
667 |
\end{plstx}}\bigskip
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
668 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
669 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
670 |
\begin{tabular}{lcl}
|
|
451
|
671 |
\bl{\meta{S}} & \bl{$\rightarrow$} & \bl{$a\meta{S}a$}\\
|
|
|
672 |
& \bl{$\rightarrow$} & \bl{$ab\meta{S}ba$}\\
|
|
|
673 |
& \bl{$\rightarrow$} & \bl{$aba\meta{S}aba$}\\
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
674 |
& \bl{$\rightarrow$} & \bl{$abaaba$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
675 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
676 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
677 |
\end{tabular}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
678 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
679 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
680 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
681 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
682 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
683 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
451
|
684 |
\begin{frame}[t]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
685 |
\frametitle{Example Derivation}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
686 |
|
|
451
|
687 |
\bl{\begin{plstx}[margin=3cm,one per line]
|
|
|
688 |
: \meta{E} ::= num\_token
|
|
|
689 |
| \meta{E} \cdot + \cdot \meta{E}
|
|
|
690 |
| \meta{E} \cdot - \cdot \meta{E}
|
|
|
691 |
| \meta{E} \cdot * \cdot \meta{E}
|
|
|
692 |
| ( \cdot \meta{E} \cdot ) \\
|
|
|
693 |
\end{plstx}}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
694 |
|
|
451
|
695 |
\small
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
696 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
697 |
\begin{tabular}{@{}c@{}c@{}}
|
|
451
|
698 |
\begin{tabular}{@{\hspace{-2mm}}l@{\hspace{1mm}}l@{\hspace{1mm}}l@{\hspace{4mm}}}
|
|
|
699 |
\bl{\meta{E}} & \bl{$\rightarrow$} & \bl{$\meta{E}*\meta{E}$}\\
|
|
|
700 |
& \bl{$\rightarrow$} & \bl{$\meta{E}+\meta{E}*\meta{E}$}\\
|
|
|
701 |
& \bl{$\rightarrow$} & \bl{$\meta{E}+\meta{E}*\meta{E}+\meta{E}$}\\
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
702 |
& \bl{$\rightarrow^+$} & \bl{$1+2*3+4$}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
703 |
\end{tabular} &\pause
|
|
451
|
704 |
\begin{tabular}{@{}l@{\hspace{0mm}}l@{\hspace{1mm}}l}
|
|
|
705 |
\bl{$\meta{E}$} & \bl{$\rightarrow$} & \bl{$\meta{E}+\meta{E}$}\\
|
|
|
706 |
& \bl{$\rightarrow$} & \bl{$\meta{E}+\meta{E}+\meta{E}$}\\
|
|
|
707 |
& \bl{$\rightarrow$} & \bl{$\meta{E}+\meta{E}*\meta{E}+\meta{E}$}\\
|
|
|
708 |
& \bl{$\rightarrow^+$} & \bl{$1+2*3+4$}\\
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
709 |
\end{tabular}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
710 |
\end{tabular}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
711 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
712 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
713 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
714 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
715 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
716 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
717 |
\begin{frame}[c]
|
|
664
|
718 |
\frametitle{Context Sensitive Grammars}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
719 |
|
360
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
720 |
It is much harder to find out whether a string is parsed
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
721 |
by a context sensitive grammar:
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
722 |
|
|
451
|
723 |
\bl{\begin{plstx}[margin=2cm]
|
|
|
724 |
: \meta{S} ::= b\meta{S}\meta{A}\meta{A} | \epsilon\\
|
|
|
725 |
: \meta{A} ::= a\\
|
|
|
726 |
: b\meta{A} ::= \meta{A}b\\
|
|
|
727 |
\end{plstx}}\pause
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
728 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
729 |
\begin{center}
|
|
451
|
730 |
\bl{$\meta{S} \rightarrow\ldots\rightarrow^? ababaa$}
|
|
665
|
731 |
\end{center}\pause
|
|
|
732 |
|
|
|
733 |
\begin{center}
|
|
|
734 |
\tt Time flies like an arrow;\\
|
|
|
735 |
fruit flies like bananas.
|
|
|
736 |
\end{center}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
737 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
738 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
739 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
740 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
741 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
742 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
743 |
\frametitle{Language of a CFG}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
744 |
|
|
451
|
745 |
Let \bl{$G$} be a context-free grammar with start symbol \bl{\meta{S}}.
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
746 |
Then the language \bl{$L(G)$} is:
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
747 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
748 |
\begin{center}
|
|
451
|
749 |
\bl{$\{c_1\ldots c_n \;|\; \forall i.\; c_i \in T \wedge \meta{S} \rightarrow^* c_1\ldots c_n \}$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
750 |
\end{center}\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
751 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
752 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
753 |
\item Terminals, because there are no rules for replacing them.
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
754 |
\item Once generated, terminals are ``permanent''.
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
755 |
\item Terminals ought to be tokens of the language\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
756 |
(but can also be strings).
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
757 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
758 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
759 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
760 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
761 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
762 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
451
|
763 |
\begin{frame}[t]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
764 |
\frametitle{Parse Trees}
|
|
582
|
765 |
\mbox{}\\[-12mm]
|
|
451
|
766 |
|
|
593
|
767 |
\bl{\begin{plstx}: \meta{E} ::= \meta{T} | \meta{T} \cdot + \cdot \meta{E} | \meta{T} \cdot - \cdot \meta{E}\\
|
|
529
|
768 |
: \meta{T} ::= \meta{F} | \meta{F} \cdot * \cdot \meta{T}\\
|
|
|
769 |
: \meta{F} ::= num\_token | ( \cdot \meta{E} \cdot )\\
|
|
451
|
770 |
\end{plstx}}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
771 |
|
|
451
|
772 |
\begin{center}\small
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
773 |
\begin{tikzpicture}[level distance=8mm, blue]
|
|
451
|
774 |
\node {$\meta{E}$}
|
|
529
|
775 |
child {node {$\meta{T}$}
|
|
451
|
776 |
child {node {$\meta{T}$}
|
|
|
777 |
child {node {(\,$\meta{E}$\,)}
|
|
|
778 |
child {node{$\meta{F}$ *{} $\meta{F}$}
|
|
|
779 |
child {node {$\meta{T}$} child {node {2}}}
|
|
|
780 |
child {node {$\meta{T}$} child {node {3}}}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
781 |
}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
782 |
}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
783 |
}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
784 |
child {node {+}}
|
|
451
|
785 |
child {node {$\meta{T}$}
|
|
|
786 |
child {node {(\,$\meta{E}$\,)}
|
|
|
787 |
child {node {$\meta{F}$}
|
|
|
788 |
child {node {$\meta{T}$ +{} $\meta{T}$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
789 |
child {node {3}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
790 |
child {node {4}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
791 |
}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
792 |
}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
793 |
}};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
794 |
\end{tikzpicture}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
795 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
796 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
797 |
\begin{textblock}{5}(1, 6.5)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
798 |
\bl{\texttt{(2*3)+(3+4)}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
799 |
\end{textblock}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
800 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
801 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
802 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
803 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
804 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
451
|
805 |
\begin{frame}[t]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
806 |
\frametitle{Arithmetic Expressions}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
807 |
|
|
451
|
808 |
\bl{\begin{plstx}[margin=3cm,one per line]
|
|
|
809 |
: \meta{E} ::= num\_token
|
|
|
810 |
| \meta{E} \cdot + \cdot \meta{E}
|
|
|
811 |
| \meta{E} \cdot - \cdot \meta{E}
|
|
|
812 |
| \meta{E} \cdot * \cdot \meta{E}
|
|
|
813 |
| ( \cdot \meta{E} \cdot ) \\
|
|
|
814 |
\end{plstx}}\pause\bigskip
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
815 |
|
|
451
|
816 |
A CFG is \alert{\bf left-recursive} if it has a nonterminal \bl{$\meta{E}$} such
|
|
|
817 |
that \bl{$\meta{E} \rightarrow^+ \meta{E}\cdot \ldots$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
818 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
819 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
820 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
821 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
822 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
451
|
823 |
\begin{frame}[t]
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
824 |
\frametitle{Ambiguous Grammars}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
825 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
826 |
A grammar is \alert{\bf ambiguous} if there is a string that
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
827 |
has at least two different parse trees.
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
828 |
|
|
451
|
829 |
\bl{\begin{plstx}[margin=3cm,one per line]: \meta{E} ::= num\_token
|
|
|
830 |
| \meta{E} \cdot + \cdot \meta{E}
|
|
|
831 |
| \meta{E} \cdot - \cdot \meta{E}
|
|
|
832 |
| \meta{E} \cdot * \cdot \meta{E}
|
|
|
833 |
| ( \cdot \meta{E} \cdot ) \\
|
|
|
834 |
\end{plstx}}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
835 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
836 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
837 |
\bl{\texttt{1 + 2 * 3 + 4}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
838 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
839 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
840 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
841 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
842 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
843 |
\begin{frame}[c]
|
|
582
|
844 |
\frametitle{`Dangling' Else}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
845 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
846 |
Another ambiguous grammar:\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
847 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
848 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
849 |
\bl{\begin{tabular}{lcl}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
850 |
$E$ & $\rightarrow$ & if $E$ then $E$\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
851 |
& $|$ & if $E$ then $E$ else $E$ \\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
852 |
& $|$ & \ldots
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
853 |
\end{tabular}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
854 |
\end{center}\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
855 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
856 |
\bl{\texttt{if a then if x then y else c}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
857 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
858 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
859 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
860 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
861 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
862 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
863 |
\frametitle{Parser Combinators}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
864 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
865 |
One of the simplest ways to implement a parser, see
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
866 |
{\small\url{https://vimeo.com/142341803}}\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
867 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
868 |
Parser combinators: \bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
869 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
870 |
\begin{minipage}{1.1\textwidth}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
871 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
872 |
\mbox{}\hspace{-12mm}\mbox{}$\underbrace{\text{list of tokens}}_{\text{input}}$ \bl{$\Rightarrow$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
873 |
$\underbrace{\text{set of (parsed input, unparsed input)}}_{\text{output}}$
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
874 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
875 |
\end{minipage}\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
876 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
877 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
878 |
\item atomic parsers
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
879 |
\item sequencing
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
880 |
\item alternative
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
881 |
\item semantic action
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
882 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
883 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
884 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
885 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
886 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
887 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
888 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
889 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
890 |
Atomic parsers, for example, number tokens
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
891 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
892 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
893 |
\bl{$\texttt{Num(123)}::rest \;\Rightarrow\; \{(\texttt{Num(123)}, rest)\}$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
894 |
\end{center}\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
895 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
896 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
897 |
\item you consume one or more token from the\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
898 |
input (stream)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
899 |
\item also works for characters and strings
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
900 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
901 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
902 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
903 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
904 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
905 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
906 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
907 |
Alternative parser (code \bl{$p\;||\;q$})\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
908 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
909 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
910 |
\item apply \bl{$p$} and also \bl{$q$}; then combine
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
911 |
the outputs
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
912 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
913 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
914 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
915 |
\large \bl{$p(\text{input}) \cup q(\text{input})$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
916 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
917 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
918 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
919 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
920 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
921 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
922 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
923 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
924 |
Sequence parser (code \bl{$p\sim q$})\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
925 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
926 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
927 |
\item apply first \bl{$p$} producing a set of pairs
|
|
528
|
928 |
\item then apply \bl{$q$} to the unparsed part
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
929 |
\item then combine the results:\medskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
930 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
931 |
((output$_1$, output$_2$), unparsed part)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
932 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
933 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
934 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
935 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
936 |
\begin{tabular}{l}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
937 |
\large \bl{$\{((o_1, o_2), u_2) \;|\;$}\\[2mm]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
938 |
\large\mbox{}\hspace{15mm} \bl{$(o_1, u_1) \in p(\text{input}) \wedge$}\\[2mm]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
939 |
\large\mbox{}\hspace{15mm} \bl{$(o_2, u_2) \in q(u_1)\}$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
940 |
\end{tabular}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
941 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
942 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
943 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
944 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
945 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
946 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
947 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
948 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
949 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
950 |
Function parser (code \bl{$p \Rightarrow f\;$})\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
951 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
952 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
953 |
\item apply \bl{$p$} producing a set of pairs
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
954 |
\item then apply the function \bl{$f$} to each first component
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
955 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
956 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
957 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
958 |
\begin{tabular}{l}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
959 |
\large \bl{$\{(f(o_1), u_1) \;|\; (o_1, u_1) \in p(\text{input})\}$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
960 |
\end{tabular}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
961 |
\end{center}\bigskip\bigskip\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
962 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
963 |
\bl{$f$} is the semantic action (``what to do with the parsed input'')
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
964 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
965 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
966 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
967 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
968 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
969 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
970 |
\mode<presentation>{
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
971 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
972 |
\frametitle{\begin{tabular}{c}Semantic Actions\end{tabular}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
973 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
974 |
Addition
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
975 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
976 |
\begin{center}
|
|
582
|
977 |
\bl{$\meta{T} \sim + \sim \meta{E} \Rightarrow \underbrace{f\,((x,y), z) \Rightarrow x + z}_{\text{semantic action}}$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
978 |
\end{center}\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
979 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
980 |
Multiplication
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
981 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
982 |
\begin{center}
|
|
582
|
983 |
\bl{$\meta{F} \sim * \sim \meta{T} \Rightarrow f\,((x,y), z) \Rightarrow x * z$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
984 |
\end{center}\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
985 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
986 |
Parenthesis
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
987 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
988 |
\begin{center}
|
|
582
|
989 |
\bl{$\text{(} \sim \meta{E} \sim \text{)} \Rightarrow f\,((x,y), z) \Rightarrow y$}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
990 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
991 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
992 |
\end{frame}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
993 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
994 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
995 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
996 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
997 |
\frametitle{Types of Parsers}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
998 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
999 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1000 |
\item {\bf Sequencing}: if \bl{$p$} returns results of type \bl{$T$}, and \bl{$q$} results of type \bl{$S$},
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1001 |
then \bl{$p \sim q$} returns results of type
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1002 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1003 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1004 |
\bl{$T \times S$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1005 |
\end{center}\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1006 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1007 |
\item {\bf Alternative}: if \bl{$p$} returns results of type \bl{$T$} then \bl{$q$} \alert{must} also have results of type \bl{$T$},
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1008 |
and \bl{$p \;||\; q$} returns results of type
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1009 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1010 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1011 |
\bl{$T$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1012 |
\end{center}\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1013 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1014 |
\item {\bf Semantic Action}: if \bl{$p$} returns results of type \bl{$T$} and \bl{$f$} is a function from
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1015 |
\bl{$T$} to \bl{$S$}, then
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1016 |
\bl{$p \Rightarrow f$} returns results of type
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1017 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1018 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1019 |
\bl{$S$}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1020 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1021 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1022 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1023 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1024 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1025 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1026 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1027 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1028 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1029 |
\frametitle{Input Types of Parsers}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1030 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1031 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1032 |
\item input: \alert{token list}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1033 |
\item output: set of (output\_type, \alert{token list})
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1034 |
\end{itemize}\bigskip\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1035 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1036 |
actually it can be any input type as long as it is a kind of
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1037 |
sequence (for example a string)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1038 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1039 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1040 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1041 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1042 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1043 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1044 |
\frametitle{Scannerless Parsers}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1045 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1046 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1047 |
\item input: \alert{string}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1048 |
\item output: set of (output\_type, \alert{string})
|
|
664
|
1049 |
\end{itemize}\bigskip\bigskip
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1050 |
|
|
664
|
1051 |
but using lexers is better because whitespaces or comments can be
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1052 |
filtered out; then input is a sequence of tokens
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1053 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1054 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1055 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1056 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1057 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1058 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1059 |
\frametitle{Successful Parses}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1060 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1061 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1062 |
\item input: string
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1063 |
\item output: \alert{set of} (output\_type, string)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1064 |
\end{itemize}\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1065 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1066 |
a parse is successful whenever the input has been fully
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1067 |
``consumed'' (that is the second component is empty)
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1068 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1069 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1070 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1071 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1072 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1073 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1074 |
\frametitle{Abstract Parser Class}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1075 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1076 |
\small
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1077 |
\lstinputlisting[language=Scala,xleftmargin=1mm]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1078 |
{../progs/app7.scala}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1079 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1080 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1081 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1082 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1083 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1084 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1085 |
\small
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1086 |
\fontsize{10}{12}\selectfont
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1087 |
\lstinputlisting[language=Scala,xleftmargin=1mm]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1088 |
{../progs/app8.scala}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1089 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1090 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1091 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1092 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1093 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1094 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1095 |
\frametitle{Two Grammars}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1096 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1097 |
Which languages are recognised by the following two grammars?
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1098 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1099 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1100 |
\bl{\begin{tabular}{lcl}
|
|
582
|
1101 |
$\meta{S}$ & $\rightarrow$ & $1 \cdot \meta{S} \cdot \meta{S}$\\
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1102 |
& $|$ & $\epsilon$
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1103 |
\end{tabular}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1104 |
\end{center}\bigskip
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1105 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1106 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1107 |
\bl{\begin{tabular}{lcl}
|
|
582
|
1108 |
$\meta{U}$ & $\rightarrow$ & $1 \cdot \meta{U}$\\
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1109 |
& $|$ & $\epsilon$
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1110 |
\end{tabular}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1111 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1112 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1113 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1114 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1115 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1116 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1117 |
\begin{frame}[t]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1118 |
\frametitle{Ambiguous Grammars}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1119 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1120 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1121 |
\begin{tikzpicture}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1122 |
\begin{axis}[xlabel={\pcode{1}s},ylabel={time in secs},
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1123 |
enlargelimits=false,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1124 |
xtick={0,100,...,1000},
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1125 |
xmax=1050,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1126 |
ymax=33,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1127 |
ytick={0,5,...,30},
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1128 |
scaled ticks=false,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1129 |
axis lines=left,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1130 |
width=11cm,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1131 |
height=7cm,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1132 |
legend entries={unambiguous,ambiguous},
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1133 |
legend pos=north east,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1134 |
legend cell align=left,
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1135 |
x tick label style={font=\small,/pgf/number format/1000 sep={}}]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1136 |
\addplot[blue,mark=*, mark options={fill=white}]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1137 |
table {s-grammar1.data};
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1138 |
\only<2>{
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1139 |
\addplot[red,mark=triangle*, mark options={fill=white}]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1140 |
table {s-grammar2.data};}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1141 |
\end{axis}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1142 |
\end{tikzpicture}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1143 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1144 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1145 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1146 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1147 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1148 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1149 |
\begin{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1150 |
\frametitle{While-Language}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1151 |
\mbox{}\\[-23mm]\mbox{}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1152 |
|
370
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1153 |
\bl{\begin{plstx}[rhs style=,one per line]: \meta{Stmt} ::= skip
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1154 |
| \meta{Id} := \meta{AExp}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1155 |
| if \meta{BExp} then \meta{Block} else \meta{Block}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1156 |
| while \meta{BExp} do \meta{Block}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1157 |
: \meta{Stmts} ::= \meta{Stmt} ; \meta{Stmts}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1158 |
| \meta{Stmt}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1159 |
: \meta{Block} ::= \{ \meta{Stmts} \}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1160 |
| \meta{Stmt}\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1161 |
: \meta{AExp} ::= \ldots\\
|
370
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1162 |
: \meta{BExp} ::= \ldots\\\end{plstx}}
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1163 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1164 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1165 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1166 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1167 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1168 |
\begin{frame}[c]
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1169 |
\frametitle{An Interpreter}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1170 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1171 |
\begin{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1172 |
\bl{\begin{tabular}{l}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1173 |
$\{$\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1174 |
\;\;$x := 5 \text{;}$\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1175 |
\;\;$y := x * 3\text{;}$\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1176 |
\;\;$y := x * 4\text{;}$\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1177 |
\;\;$x := u * 3$\\
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1178 |
$\}$
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1179 |
\end{tabular}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1180 |
\end{center}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1181 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1182 |
\begin{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1183 |
\item the interpreter has to record the value of \bl{$x$} before assigning a value to \bl{$y$}\pause
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1184 |
\item \bl{\texttt{eval(stmt, env)}}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1185 |
\end{itemize}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1186 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1187 |
\end{frame}
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1188 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1189 |
|
|
465
|
1190 |
|
|
|
1191 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1192 |
\mode<presentation>{
|
|
|
1193 |
\begin{frame}[c]
|
|
|
1194 |
\frametitle{\begin{tabular}{c}Interpreter\end{tabular}}
|
|
|
1195 |
|
|
|
1196 |
\begin{center}
|
|
|
1197 |
\bl{\begin{tabular}{@{}lcl@{}}
|
|
|
1198 |
$\text{eval}(n, E)$ & $\dn$ & $n$\\
|
|
|
1199 |
$\text{eval}(x, E)$ & $\dn$ & $E(x)$ \;\;\;\textcolor{black}{lookup \bl{$x$} in \bl{$E$}}\\
|
|
|
1200 |
$\text{eval}(a_1 + a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) + \text{eval}(a_2, E)$\\
|
|
|
1201 |
$\text{eval}(a_1 - a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) - \text{eval}(a_2, E)$\\
|
|
|
1202 |
$\text{eval}(a_1 * a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) * \text{eval}(a_2, E)$\bigskip\\
|
|
|
1203 |
$\text{eval}(a_1 = a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) = \text{eval}(a_2, E)$\\
|
|
|
1204 |
$\text{eval}(a_1\,!\!= a_2, E)$ & $\dn$ & $\neg(\text{eval}(a_1, E) = \text{eval}(a_2, E))$\\
|
|
|
1205 |
$\text{eval}(a_1 < a_2, E)$ & $\dn$ & $\text{eval}(a_1, E) < \text{eval}(a_2, E)$\
|
|
|
1206 |
\end{tabular}}
|
|
|
1207 |
\end{center}
|
|
|
1208 |
|
|
|
1209 |
\end{frame}}
|
|
|
1210 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1211 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1212 |
\mode<presentation>{
|
|
|
1213 |
\begin{frame}[c]
|
|
|
1214 |
\frametitle{\begin{tabular}{c}Interpreter (2)\end{tabular}}
|
|
|
1215 |
|
|
|
1216 |
\begin{center}
|
|
|
1217 |
\bl{\begin{tabular}{@{}lcl@{}}
|
|
|
1218 |
$\text{eval}(\text{skip}, E)$ & $\dn$ & $E$\\
|
|
|
1219 |
$\text{eval}(x:=a, E)$ & $\dn$ & \bl{$E(x \mapsto \text{eval}(a, E))$}\\
|
|
|
1220 |
\multicolumn{3}{@{}l@{}}{$\text{eval}(\text{if}\;b\;\text{then}\;cs_1\;\text{else}\;cs_2 , E) \dn$}\\
|
|
|
1221 |
\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{if}\;\text{eval}(b,E)\;\text{then}\;
|
|
|
1222 |
\text{eval}(cs_1,E)$}\\
|
|
|
1223 |
\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\phantom{\text{if}\;\text{eval}(b,E)\;}\text{else}\;\text{eval}(cs_2,E)$}\\
|
|
|
1224 |
\multicolumn{3}{@{}l@{}}{$\text{eval}(\text{while}\;b\;\text{do}\;cs, E) \dn$}\\
|
|
|
1225 |
\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{if}\;\text{eval}(b,E)$}\\
|
|
|
1226 |
\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{then}\;
|
|
|
1227 |
\text{eval}(\text{while}\;b\;\text{do}\;cs, \text{eval}(cs,E))$}\\
|
|
|
1228 |
\multicolumn{3}{@{}l@{}}{\hspace{2cm}$\text{else}\; E$}\\
|
|
|
1229 |
$\text{eval}(\text{write}\; x, E)$ & $\dn$ & $\{\;\text{println}(E(x))\; ;\;E\;\}$\\
|
|
|
1230 |
\end{tabular}}
|
|
|
1231 |
\end{center}
|
|
|
1232 |
|
|
|
1233 |
\end{frame}}
|
|
|
1234 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1235 |
|
|
|
1236 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1237 |
\begin{frame}[c]
|
|
582
|
1238 |
\frametitle{Test Program}
|
|
465
|
1239 |
|
|
|
1240 |
\mbox{}\\[-18mm]\mbox{}
|
|
|
1241 |
|
|
|
1242 |
{\lstset{language=While}%%\fontsize{10}{12}\selectfont
|
|
|
1243 |
\texttt{\lstinputlisting{../progs/loops.while}}}
|
|
|
1244 |
|
|
|
1245 |
\end{frame}
|
|
|
1246 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1247 |
|
|
|
1248 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1249 |
\mode<presentation>{
|
|
|
1250 |
\begin{frame}[t]
|
|
|
1251 |
\frametitle{\begin{tabular}{c}Interpreted Code\end{tabular}}
|
|
|
1252 |
|
|
|
1253 |
\begin{center}
|
|
|
1254 |
\begin{tikzpicture}
|
|
|
1255 |
\begin{axis}[axis x line=bottom, axis y line=left, xlabel=n, ylabel=secs, legend style=small]
|
|
|
1256 |
\addplot+[smooth] file {interpreted.data};
|
|
|
1257 |
\end{axis}
|
|
|
1258 |
\end{tikzpicture}
|
|
|
1259 |
\end{center}
|
|
|
1260 |
|
|
|
1261 |
\end{frame}}
|
|
|
1262 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1263 |
|
|
|
1264 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
1265 |
\mode<presentation>{
|
|
|
1266 |
\begin{frame}[c]
|
|
|
1267 |
\frametitle{\begin{tabular}{c}Java Virtual Machine\end{tabular}}
|
|
|
1268 |
|
|
|
1269 |
\begin{itemize}
|
|
|
1270 |
\item introduced in 1995
|
|
|
1271 |
\item is a stack-based VM (like Postscript, CLR of .Net)
|
|
|
1272 |
\item contains a JIT compiler
|
|
|
1273 |
\item many languages take advantage of JVM's infrastructure (JRE)
|
|
|
1274 |
\item is garbage collected $\Rightarrow$ no buffer overflows
|
|
|
1275 |
\item some languages compile to the JVM: Scala, Clojure\ldots
|
|
|
1276 |
\end{itemize}
|
|
|
1277 |
|
|
|
1278 |
\end{frame}}
|
|
|
1279 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
358
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1280 |
|
Christian Urban <christian dot urban at kcl dot ac dot uk>
diff
changeset
|
1281 |
|
|
44
|
1282 |
\end{document}
|
|
|
1283 |
|
|
|
1284 |
%%% Local Variables:
|
|
|
1285 |
%%% mode: latex
|
|
|
1286 |
%%% TeX-master: t
|
|
|
1287 |
%%% End:
|
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