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Date: Wed, 08 Jan 1997 20:51:16 GMTServer: NCSA/1.4.2Content-type: text/html<!DOCTYPE HTML PUBLIC "-//W3O//DTD W3 HTML 2.0//EN"><!Converted with LaTeX2HTML 95 (Thu Jan 19 1995) by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds ><HEAD><TITLE>Top-Down Construction of PDA from Context-Free Grammar</TITLE></HEAD><BODY><meta name="description" value="Top-Down Construction of PDA from Context-Free Grammar"><meta name="keywords" value="handout2"><meta name="resource-type" value="document"><meta name="distribution" value="global"><P> <BR> <HR><A NAME=tex2html1 HREF="node1.html"><IMG ALIGN=BOTTOM ALT="next" SRC="http://www.cs.washington.edu/general/latex2html_icons//next_motif.gif"></A>   <IMG ALIGN=BOTTOM ALT="up" SRC="http://www.cs.washington.edu/general/latex2html_icons//up_motif_gr.gif">   <IMG ALIGN=BOTTOM ALT="previous" SRC="http://www.cs.washington.edu/general/latex2html_icons//previous_motif_gr.gif">         <BR><B> Next:</B> <A NAME=tex2html2 HREF="node1.html">   About this document </A><BR> <HR> <P><P><H1>Top-Down Construction of PDA from Context-Free Grammar</H1><P><STRONG></STRONG><P><P><STRONG></STRONG><P><P>Let <IMG  ALIGN=MIDDLE ALT="" SRC="img1.gif">.  Assume all the productions in <b>P</b>, not of the form<IMG  ALIGN=BOTTOM ALT="" SRC="img2.gif">, are numbered 1 to <b>m</b>.<P>The PDA <IMG  ALIGN=MIDDLE ALT="" SRC="img3.gif"> will acceptthe language generated by <b>G</b>.  We need to specify <b>Q</b> and <IMG  ALIGN=BOTTOM ALT="" SRC="img4.gif">.<P><IMG  ALIGN=BOTTOM ALT="" SRC="img5.gif"><P>The function <IMG  ALIGN=BOTTOM ALT="" SRC="img6.gif"> consists of the following rules:<P><IMG  ALIGN=BOTTOM ALT="" SRC="img7.gif"><P><BR> <HR><UL> <LI> <A NAME=tex2html3 HREF="node1.html#SECTION00010000000000000000">   About this document ... </A></UL><BR> <HR><P><ADDRESS><I>James Fix <BR>Mon Mar  4 14:26:16 PST 1996</I></ADDRESS></BODY>

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