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Date: Wed, 08 Jan 1997 20:38:32 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 8 Due Friday, February 23, 1996</TITLE></HEAD><BODY><meta name="description" value="CSE 322 Assignment 8 Due Friday, February 23, 1996"><meta name="keywords" value="hw8"><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>CSE 322 Assignment 8 Due Friday, February 23, 1996</H1><P><STRONG></STRONG><P><P><STRONG></STRONG><P><P><OL><LI>Consider the NFA <IMG ALIGN=MIDDLE ALT="" SRC="img1.gif"> where <IMG ALIGN=BOTTOM ALT="" SRC="img2.gif"> isgiven by the table:<P><IMG ALIGN=BOTTOM ALT="" SRC="img3.gif"><P><P>Use the ``practical'' form of the subset construction to produce a DFAequivalent to <b>M</b>.<P><LI>For the NFA <b>M</b> of problem 1 use the regular expression diagram method toconstruct a regular expression equivalent to <b>M</b>. Be sure tosimplify regular expressions when possible.<LI>Number 7 (c) on page 182. Start with an NFA <b>M</b> which accepts <b>L</b>,then show the construction of an NFA <IMG ALIGN=BOTTOM ALT="" SRC="img4.gif"> which accepts <IMG ALIGN=BOTTOM ALT="" SRC="img5.gif">.Carefully state a behavioral lemma which relates the behavior of <b>M</b>with the behavior of <IMG ALIGN=BOTTOM ALT="" SRC="img6.gif">. Use the behavioral lemma to prove that<IMG ALIGN=MIDDLE ALT="" SRC="img7.gif">. Do not prove the behavioral lemma, but be sure thatyou could do so.<P></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>Tue Feb 20 11:24:16 PST 1996</I></ADDRESS></BODY>
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