http:^^www.cs.washington.edu^education^courses^322^96w^hw6soln^hw6soln.html

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Date: Wed, 08 Jan 1997 20:40:38 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>CSE 322: Assignment 6 Solution Set</TITLE></HEAD><BODY><meta name="description" value="CSE 322: Assignment 6 Solution Set"><meta name="keywords" value="hw6soln"><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> CSE 322 Winter 1996: Assignment 6 Solution Set<P><OL><LI> Consider the grammar (with the productions numbered 1 through 10):<P><IMG  ALIGN=BOTTOM ALT="" SRC="img1.gif"><P><P>Here is a bottom-up parse of the string <IMG  ALIGN=MIDDLE ALT="" SRC="img2.gif">.  I've reversed thedirection of the stack so that the reductions are easier to see:<P><P><IMG  ALIGN=BOTTOM ALT="" SRC="img3.gif"><P><P><LI>Number 1, page 164.<P><OL><LI> The state diagram of <b>M</b>:<br><img src="hw6p2a.gif"><P><LI> Computations for the following strings:<OL><LI> <b>abaa</b><P><IMG  ALIGN=MIDDLE ALT="" SRC="img4.gif"><P><LI> <b>bbbabb</b><P><IMG  ALIGN=MIDDLE ALT="" SRC="img5.gif"><P><LI> <b>bababa</b><P><IMG  ALIGN=MIDDLE ALT="" SRC="img6.gif"><P><LI> <b>bbbaa</b><P><IMG  ALIGN=MIDDLE ALT="" SRC="img7.gif"></OL><P><LI> Of the above strings, only <b>abaa</b>,<b>bababa</b>, and <b>bbbaa</b> are in <IMG  ALIGN=MIDDLE ALT="" SRC="img8.gif">.<P><LI> One regular expression that describes <IMG  ALIGN=MIDDLE ALT="" SRC="img9.gif"> is <IMG  ALIGN=MIDDLE ALT="" SRC="img10.gif">.</OL><P><LI>Numbers 11 a) and b), page 164<OL><LI> The state diagram for <IMG  ALIGN=MIDDLE ALT="" SRC="img11.gif">:<br><img src="hw6p3a.gif"><P><LI> The state diagram for <IMG  ALIGN=MIDDLE ALT="" SRC="img12.gif">:<br><img src="hw6p3b.gif"><P></OL></OL><BR> <HR><UL> <LI> <A NAME=tex2html3 HREF="node1.html#SECTION00010000000000000000">   About this document ... </A></UL><BR> <HR><P><ADDRESS><I>James Fix <BR>Wed Feb 14 14:46:11 PST 1996</I></ADDRESS></BODY>

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