Date: Fri, 04 Aug 1995 10:36:46 -0400 (EDT) From: David Eck Subject: xTuringMachine 1.3, a program for simulating Turing Machines A Turing Machine is an type of computing device invented in the 1930s by Alan Turning. Turing Machines are not meant to be built physically. They are "abstract machines" meant to be studied on the theoretical level. The individual steps in a Turing Machine's computations are almost ridiculously simple. Nevertheless, Turing Machines can solve any problem that can be solved by any real computer. The best way to understand Turing Machines--and to convince yourself of their computational power--is to watch them compute. The xTuringMachine program allows you to program Turing Machines and watch as they carry out their programs. It is limited to 20 states and to the symbols i, o, x, y, z, and $. Documentation and sample machines are included. I wrote xTuringMachine, and several other programs, to accompany my introductory computer science book, "The Most Complex Machine: A Survey of Computers and Computing." Information about the book and the programs is available on the World Wide Web at the URL: http://math.hws.edu/TMCM.html This program can be freely distribted for private, non-commercial use. More details on copyright restrictions are included with the program. David J. Eck Department of Mathematics and Computer Science Hobart and William Smith Colleges Geneva, NY 14456 (This file must be converted with BinHex 4.0) :%RK8GA*TEQG0B@0SD@jP,R0TG!"6594%8dP8)3#3")i8!*!%eBT6593K!!%!!)i 8FNaKG3)#!*!$&TmI)#!1H&4eFQPZCdeKBfKTEQ8!N"&Rd!#3$33!N!q'!!!"!2q 3"!%!V%CaJDa(S03!N!8")b`!N!D0MJ#3#X4Z!!dI8N9"4#"045!Y)%PZBfaeC'9 c)'PZFh4bG@0dD@pZFfL5!*!4&J!!'#X!N!-@!*!%9%9B9&)UBfJ!!+a'GfqX4k# C!*!'3%m!N!BA03!!6e%!N!EqhJkL!%q3!!&!eLdjCQ5KhpQJp#),ZB9b6hkaKAY HK(PmBB56#5Ii(S#H,K5I&mF2f0TaJRld!PhI0HMCCHI#"q3fqB8X6e$$bF))E4A B'3"*,KCClGkF($phVdlFCCClPmjQjA+9&TQ[hFe&@fA&eDYdYXJ+[qp5YkV+UbT GZXZb5QCP86G91fY``UA&h&9Y8I!h[HU@HVBqG'l[Z,eUkmBG2ARbq2"ZNMa2hf9 cpqq(lQ4fR6chUl4UPVjSA(RTAUA0`Lr6*T[9!ZSCf'JEAlRc@HD,Q8rq88ja6Vj pQq9j"ME1PeQc`+8mpeHq6VlaKAqAlV[6ljdlH[6SmHF*!'Aj8qIml2VI&Z[kd-r Ej1hEYrM#Z8A6V*lHZiI2(KlDYdqIh,prrak1hFZ+ZEmjA$6,2&'YL%E!I*0Q4He !&D53!1IPQS4R"@4"kXVLD8*SlZ!!YeDh9ADeD)E2ipIeSL5AmhHqDV,DL`K`a8d ZJ1a9#FQ3!2rFhd!ASUC*20h$%6'!$e8MC#NB0ZU0GqHqRPAC5Zp!F(9+J$[4*XR "A`6m5j*R(`A`p&Gi5A*c$N'm6+I1cG,#65'[b[[meXdcX*Y0i34c)AG9CHr5"Tj 8P-8"('[TUeQ@jUkYr@'bpm,96ECUFlQ`+0FHqYU(@Y-'ri'+3B+[H!lkDr-j3$6 %QXl,P3&-!!5%`I*QC9[KYlE)IDf+RjEPYI[K[a6kJ`2!0+r,a1!FhR91[#1L0QU cBTDhFq#&JR(iCZ@,1R[RhE2R"fr1ALAe)Uhm'Rp"!Ca0P3dcIG%%!-Yd$Y,H`G[ 5+54-AFc,GC'Ak4aD6LkVFZQq[RMYkUb"Qp-N)*BF8&hYUhICc0IlG(4i-8J3G45 PQ`(f&FLT%i%hpEFP$YIYE1'QDCh0l!$`e$6#!X5i*PZ##*aCqZA89r8L@lP,$b8 QbI'dE*Xrr1b6%ibQm-+YUl,a(r))LD'fSDN5bUc!*d9!lDiC#CDh59Bd96Q(,jE 9,ILb-&&VQ(#0[fNSCb5"h`6p0$PfjfhecYr5,N-H'G)*12N"'HGEppV,PbqEqEj lkb(D1[Hhqql9mAlbi[bV8eHdP!G5bF(MclriiZMJrZ0("hqrZqrqNq&Se8lcV&j !LP!@N!!1QFQjlmX@ML"ZGBP8![5ZV1B!3dm9eXACa*[J@jC-H-$5#Kf"Ai8)YbH JF@U@3LkhCHYS0C!!Lkpm$GZkUk$&DiJB5ZS$KkJkQU&B#`8Bd)&!jH"Y@B'aYh! 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