http:^^www.cs.washington.edu^education^courses^322^96w^hw7^hw7.html

来自「This data set contains WWW-pages collect」· HTML 代码 · 共 62 行

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Date: Wed, 08 Jan 1997 20:40:03 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 7 Due Friday, February 16, 1996</TITLE></HEAD><BODY><meta name="description" value="CSE 322 Assignment 7 Due Friday, February 16, 1996"><meta name="keywords" value="hw7"><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 7 Due Friday, February 16, 1996</H1><P><STRONG></STRONG><P><P><STRONG></STRONG><P><P><OL><LI>Let <IMG  ALIGN=MIDDLE ALT="" SRC="img1.gif"> be a regular grammar which only has productionof the form <IMG  ALIGN=BOTTOM ALT="" SRC="img2.gif"> and <IMG  ALIGN=BOTTOM ALT="" SRC="img3.gif">.Consider the NFA <IMG  ALIGN=MIDDLE ALT="" SRC="img4.gif"> where <IMG  ALIGN=MIDDLE ALT="" SRC="img5.gif"> is a production in <IMG  ALIGN=MIDDLE ALT="" SRC="img6.gif"> and<IMG  ALIGN=MIDDLE ALT="" SRC="img7.gif"> is a production in <IMG  ALIGN=MIDDLE ALT="" SRC="img8.gif">.<OL><LI>Carefully prove the behavioral lemma: For all <IMG  ALIGN=MIDDLE ALT="" SRC="img9.gif">, and <IMG  ALIGN=MIDDLE ALT="" SRC="img10.gif">,<IMG  ALIGN=MIDDLE ALT="" SRC="img11.gif"> if and only if <IMG  ALIGN=BOTTOM ALT="" SRC="img12.gif">.Your proof should be brief, but complete.(Hint: there are two induction proofs, one for each direction in theif and only if statement.)<LI>Use the behavioral lemma to prove that <IMG  ALIGN=MIDDLE ALT="" SRC="img13.gif">.</OL><LI>Number 12 on page 164.<LI>Number 13 (c) on page 165. <LI>Number 21 on page 165.<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>Wed Feb 14 14:37:27 PST 1996</I></ADDRESS></BODY>

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