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Date: Wed, 08 Jan 1997 20:36:24 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 10 Due Friday, March 8, 1996</TITLE></HEAD><BODY><meta name="description" value="CSE 322 Assignment 10 Due Friday, March 8, 1996"><meta name="keywords" value="hw10"><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 10 Due Friday, March 8, 1996</H1><P><STRONG></STRONG><P><P><STRONG></STRONG><P><P><OL><LI>Construct a DPDA which accepts the language <IMG ALIGN=MIDDLE ALT="" SRC="img1.gif"> has an equal number of <b>a</b>'s and <b>b</b>'s<IMG ALIGN=MIDDLE ALT="" SRC="img2.gif">. Run your machine on theinput <b>abba</b>.<LI> Use the construction given in class of a PDA from a context-free grammarto construct a PDA which accepts the language generated by thegrammar <IMG ALIGN=MIDDLE ALT="" SRC="img3.gif">. Recall thatthe language generated by this grammar is the language of number 1 above.Run your machin on the input <b>abba</b><LI> Construct a one-tape Turing machine which accept the language<IMG ALIGN=MIDDLE ALT="" SRC="img4.gif">. Please use the Turing machinediagrams which are defined in Chapter 9. Describe in English whateach of your states does, that is, describe the algorithm implementedby your Turing machine. Run your machine on the input <b>abcab</b>.<LI>Give a construction of the PDA from a context-free grammar where thePDA behaves like the bottom-up parsing method. You will need to ``shift''input onto the stack and ``reduce'' according to the grammar productions.Each reduction will have to broken up into a number of steps governedby a set of states. Try to make your construction as brief and elegant as thetop-down construction handed out.</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>Sun Mar 3 12:20:28 PST 1996</I></ADDRESS></BODY>
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