File:Example derivation tree of a term from a regular tree grammar.pdf

Summary

Description
English: Shows the derivation tree for an example term and a regular tree grammar given in en:Regular tree grammar#Examples.
Date
Source Own work
Author Jochen Burghardt
Other versions

2-dimensional: File:Example derivation of a term from a regular tree grammar.pdf — File:Example derivation of a term from a regular tree grammar svg.svg,

3-dimensional: File:Example derivation tree of a term from a regular tree grammar.pdf — File:Example derivation tree of a term from a regular tree grammar svg.svg
LaTeX source code
\documentclass[12pt]{article}
\usepackage[pdftex]{color}
\usepackage[paperwidth=225mm,paperheight=115mm]{geometry}
\setlength{\topmargin}{-36mm}
\setlength{\textwidth}{30cm}
\setlength{\textheight}{26cm}
\setlength{\evensidemargin}{-2.7cm}
\setlength{\oddsidemargin}{-2.5cm}
\setlength{\parindent}{0cm}
\setlength{\parskip}{1ex}
\setlength{\unitlength}{1mm}
\sloppy

\begin{document}

% foreground
\definecolor{fN}        {rgb}{0.99,0.00,0.00}   % nonterminal
\definecolor{fT}        {rgb}{0.00,0.00,0.99}   % terminal
\definecolor{fB}        {rgb}{0.00,0.00,0.99}   % branch line
\definecolor{fb}        {rgb}{0.60,0.60,0.99}   % shadow branch line
\definecolor{ft}        {rgb}{0.60,0.60,0.99}   % shadow terminal
\definecolor{fD}        {rgb}{0.40,0.40,0.40}   % derivation line
\definecolor{fd}        {rgb}{0.85,0.85,0.85}   % shadow derivation line
\definecolor{fE}        {rgb}{0.99,0.40,0.40}   % redex derivation line
\definecolor{fe}        {rgb}{0.99,0.85,0.85}   % shadow redex deriv line

% background
\definecolor{bT}        {rgb}{0.50,0.50,0.50}   % term border
\definecolor{bt}        {rgb}{0.90,0.90,0.90}   % term interior
\definecolor{bu}        {rgb}{0.95,0.95,0.95}   % shadow term interior
\definecolor{bR}        {rgb}{0.99,0.50,0.50}   % redex border
\definecolor{br}        {rgb}{0.95,0.90,0.90}   % redex interior

~
\begin{picture}(220,110)

\thicklines%
% backgrounds
% 4
\textcolor{bu}{\multiput(30.000,50)(0.1,-0.1){100}{\line(-1,-1){20.000}}}%
\textcolor{bu}{\multiput(40.000,40)(0.1,-0.1){100}{\line(-1,-1){10.000}}}%
\textcolor{bu}{\multiput(40.000,20)(-0.1,0.1){100}{\line(1,0){20.000}}}%
\textcolor{bu}{\multiput(0.000,20)(0.1,0.0){400}{\line(1,1){10.000}}}%
\textcolor{bu}{\multiput(50,30)(0.1,-0.1){100}{\line(-1,-1){20}}}%
\textcolor{bu}{\multiput(60,20)(0.1,-0.1){100}{\line(-1,-1){10}}}%
\textcolor{bu}{\multiput(60,0)(-0.1,0.1){100}{\line(1,0){20}}}%
\textcolor{bu}{\multiput(20,0)(0.1,0){400}{\line(1,1){10}}}%
% 3
\textcolor{bu}{\multiput(90,70)(0.100,-0.100){100}{\line(-1,-1){20.000}}}%
\textcolor{bu}{\multiput(100,60)(0.100,-0.100){100}{\line(-1,-1){10.000}}}%
\textcolor{bu}{\multiput(100,40)(-0.100,0.100){100}{\line(1,0){20.000}}}%
\textcolor{bu}{\multiput(60,40)(0.100,0.000){400}{\line(1,1){10.000}}}%
\textcolor{bt}{\multiput(110,50)(0.100,-0.100){100}{\line(-1,-1){20.000}}}%
\textcolor{bt}{\multiput(120,40)(0.100,-0.100){100}{\line(-1,-1){10.000}}}%
\textcolor{bt}{\multiput(120,20)(-0.100,0.100){100}{\line(1,0){20.000}}}%
\textcolor{bt}{\multiput(80,20)(0.100,0.000){400}{\line(1,1){10.000}}}%
% 2
\textcolor{bt}{\multiput(120,60)(0.1,0){400}{\line(1,1){10}}}%
\textcolor{bt}{\multiput(150,90)(-0.1,-0.1){100}{\line(1,-1){20}}}%
\textcolor{bt}{\multiput(140,80)(-0.1,-0.1){100}{\line(1,-1){10}}}%
\textcolor{br}{\multiput(160,60)(0.1,0){100}{\line(1,1){5}}}%
\textcolor{br}{\multiput(170,70)(-0.1,-0.1){50}{\line(1,-1){5}}}%
\textcolor{br}{\multiput(180,60)(-0.1,0){100}{\line(-1,1){5}}}%
% 1
\textcolor{br}{\multiput(200,100)(0.1,0){100}{\line(1,1){5}}}%
\textcolor{br}{\multiput(210,110)(-0.1,-0.1){50}{\line(1,-1){5}}}%
\textcolor{br}{\multiput(220,100)(-0.1,0){100}{\line(-1,1){5}}}%

\thinlines%
% hidden derivation lines
\textcolor{fe}{\put(170.000,70.000){\line(-3,-1){60.000}}}%
\textcolor{fd}{\put(110.000,50.000){\line(-3,-1){60.000}}}%

\thicklines%
% terms
% 4
\textcolor{ft}{\put(30.000,41.000){\makebox(0.000,0.000)[b]{cons}}}%
\textcolor{fb}{\put(30.000,40.000){\vector(-1,-1){15.000}}}%
\textcolor{fb}{\put(30.000,40.000){\vector(1,-1){15.000}}}%
\textcolor{ft}{\put(10.000,21.000){\makebox(0.000,0.000)[b]{false}}}%
\textcolor{ft}{\put(50.000,21.000){\makebox(0.000,0.000)[b]{cons}}}%
\textcolor{fb}{\put(50.000,20.000){\vector(-1,-1){15.000}}}%
\textcolor{fb}{\put(50.000,20.000){\vector(1,-1){15.000}}}%
\textcolor{fT}{\put(30.000,1.000){\makebox(0.000,0.000)[b]{true}}}%
\textcolor{fT}{\put(70.000,1.000){\makebox(0.000,0.000)[b]{nil}}}%
% 3
\textcolor{ft}{\put(90.000,61.000){\makebox(0.000,0.000)[b]{cons}}}%
\textcolor{fb}{\put(90.000,60.000){\vector(-1,-1){15.000}}}%
\textcolor{fb}{\put(90.000,60.000){\vector(1,-1){15.000}}}%
\textcolor{fT}{\put(70.000,41.000){\makebox(0.000,0.000)[b]{false}}}%
\textcolor{fT}{\put(110.000,41.000){\makebox(0.000,0.000)[b]{cons}}}%
\textcolor{fB}{\put(110.000,40.000){\vector(-1,-1){15.000}}}%
\textcolor{fB}{\put(110.000,40.000){\vector(1,-1){15.000}}}%
\textcolor{fN}{\put(90.000,21.000){\makebox(0.000,0.000)[b]{Bool}}}%
\textcolor{fN}{\put(130.000,21.000){\makebox(0.000,0.000)[b]{BList}}}%
% 2
\textcolor{fT}{\put(150.000,81.000){\makebox(0.000,0.000)[b]{cons}}}%
\textcolor{fB}{\put(150.000,80.000){\vector(-1,-1){15.000}}}%
\textcolor{fB}{\put(150.000,80.000){\vector(1,-1){15.000}}}%
\textcolor{fN}{\put(130.000,61.000){\makebox(0.000,0.000)[b]{Bool}}}%
\textcolor{fN}{\put(170.000,61.000){\makebox(0.000,0.000)[b]{BList}}}%
% 1
\textcolor{fN}{\put(210.000,101.000){\makebox(0.000,0.000)[b]{BList}}}%

\thinlines
% visible derivation lines
\textcolor{fE}{\put(210.000,110.000){\line(-3,-1){60.000}}}%
\textcolor{fD}{\put(150.000,90.000){\line(-3,-1){120.000}}}%
\textcolor{fE}{\put(200.000,100.000){\line(-2,-1){80.000}}}%
\textcolor{fE}{\put(220.000,100.000){\line(-1,-1){80.000}}}%
\textcolor{fE}{\put(160.000,60.000){\line(-2,-1){80.000}}}%
\textcolor{fD}{\put(120.000,60.000){\line(-3,-1){120.000}}}%
\textcolor{fD}{\put(80.000,20.000){\line(-3,-1){60.000}}}%
\textcolor{fD}{\put(140.000,20.000){\line(-3,-1){60.000}}}%
\textcolor{fE}{\put(160.000,60.000){\line(-3,-1){60.000}}}%
\textcolor{fD}{\put(100.000,40.000){\line(-3,-1){60.000}}}%

\thinlines%
% borders
% 4
\textcolor{bT}{\put(30.000,50.000){\line(1,-1){50.000}}}%
\textcolor{bT}{\put(30.000,50.000){\line(-1,-1){30.000}}}%
\textcolor{bT}{\put(0.000,20.000){\line(1,0){40.000}}}%
\textcolor{bT}{\put(20.000,0.000){\line(1,0){60.000}}}%
\textcolor{bT}{\put(40.000,20.000){\line(-1,-1){20.000}}}%
% 3
\textcolor{bT}{\put(90,70){\line(1,-1){50}}}%
\textcolor{bT}{\put(90,70){\line(-1,-1){30}}}%
\textcolor{bT}{\put(60,40){\line(1,0){40}}}%
\textcolor{bT}{\put(80,20){\line(1,0){60}}}%
\textcolor{bT}{\put(100,40){\line(-1,-1){20}}}%
% 2
\textcolor{bT}{\put(150,90){\line(1,-1){20}}}%
\textcolor{bR}{\put(170,70){\line(1,-1){10}}}%
\textcolor{bT}{\put(150,90){\line(-1,-1){30}}}%
\textcolor{bT}{\put(120,60){\line(1,0){40}}}%
\textcolor{bR}{\put(160,60){\line(1,0){20}}}%
% 1
\textcolor{bR}{\put(210.000,110.000){\line(1,-1){10.000}}}%
\textcolor{bR}{\put(210.000,110.000){\line(-1,-1){10.000}}}%
\textcolor{bR}{\put(200.000,100.000){\line(1,0){20.000}}}%

% derivation tree wrt. word grammar
\put(0,110){\makebox(0,0)[tl]{\footnotesize%
        \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|}%
        \hline%
        \multicolumn{11}{|c|}{\textcolor{fN}{Blist}}    \\[2mm]%
        \textcolor{fT}{cons}%
                & \textcolor{fD}{(}%
                & \textcolor{fN}{Bool}%
                & \textcolor{fD}{,}%
                & \multicolumn{6}{|c|}{\textcolor{fN}{Blist}}%
                & \textcolor{fD}{)}     \\[2mm]%
        \textcolor{ft}{cons}%
                & \textcolor{fd}{(}%
                & \textcolor{fT}{false}%
                & \textcolor{fd}{,}%
                & \textcolor{fT}{cons}%
                & \textcolor{fD}{(}%
                & \textcolor{fN}{Bool}%
                & \textcolor{fD}{,}%
                & \textcolor{fN}{Blist}%
                & \textcolor{fD}{)}%
                & \textcolor{fd}{)}     \\[2mm]%
        \textcolor{ft}{cons}%
                & \textcolor{fd}{(}%
                & \textcolor{ft}{false}%
                & \textcolor{fd}{,}%
                & \textcolor{ft}{cons}%
                & \textcolor{fd}{(}%
                & \textcolor{fT}{true}%
                & \textcolor{fd}{,}%
                & \textcolor{fT}{nil}%
                & \textcolor{fd}{)}%
                & \textcolor{fd}{)}     \\%
        \hline%
        \end{tabular}%
        }}%

\end{picture}

\end{document}

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