Geometry.Net - Math_Discover: Turing Machine

A Java Turing Machine
A turing machine Applet. For a more interesting example, a turing machinetesting the divisibility of one integer by another, go to this page.
http://www.vislab.usyd.edu.au/photonics/revolution/history/turing/turing1.html

Extractions: fixxx@ix.netcom.com See his Java demonstration site. He has generously allowed it to be used on this site, and you may download for personal use the Java source in this file. The Applet code is ©Graham Stalker-Wilde. This Applet is powerful enough to run any Turing machine with reasonable storage requirements, but at the moment it is only being used on this page to present a very particular, rather trivial Turing machine which performs unary addition. It has the effect of composing two groups of 1's placed on its tape into a single group of 1's But this is enough to illustrate the basic features of the Turing's concept the atomic elements, out of which any possible computation, however complicated, can be composed. Running the machine in the Applet will illustrate these general features of Turing machines:- a finite number of possible states ("configurations" in Turing's original 1936 paper) the scanning of one square at a time moving one place to left or right for the next symbol to be scanned how this motion and the new state is determined by the single scanned symbol.
A Quantum Turing Machine With A Local Hamiltonian
Title A Quantum turing machine with a Local Hamiltonian. Author(s) TinoGramss. Keywords quantum turing machine, quantum lattice system.
http://www.santafe.edu/sfi/publications/wpabstract/199408047

Extractions: Title: A Quantum Turing Machine with a Local Hamiltonian Author(s): Tino Gramss Files: [No electronic files available.] Paper #: Abstract: A universal, deterministic Turing machine can be implemented as a closed, locally interacting quantum lattice system. As a consequence, many questions about the long-term dynamics of a quantum system with only local interactions are undecidable. Furthermore, it follows that every Turing computable function is arbitrarily parallelizible if the computation is performed on the quantum machines described in this article. Keywords: quantum Turing machine, quantum lattice system Return to the 1994 working papers list. SFI Home Page Business Network Education Employment ... Find Us
A Universal Turing Machine
Half's home General Universal turing machine. A Universal turing machine. Thecorrected state table for Hopcroft Ullman's universal turing machine.
http://www.rdrop.com/~half/General/UTM/

Extractions: MLI Home General Universal Turing Machine When I was in junior high school, I became interested in computers. After learning BASIC on TRS-80s and Commodore PETs, I started doing all sorts of projects. One of the more memorable ones originated in the basement of my parents' house. The basement held my parents' library. My mother's taste ran the gamut from art and theology to Anthony Trollope, while my father's collection was mostly textbooks. Since we're both tech types, I found his books more interesting (once I'd learned algebra, of course). One that caught my attention was a book on the theory of computing called Formal Languages and Their Relation to Automata by Hopcroft and Ullman. It taught me about the various kinds of theoretical machines (pushdown machines, multi-tape machines, etc.) and some language theory. I was most interested in the information on Turing machines, though. Imagine: a simple theoretical machine that can in theory calculate anything that any other machine can! Now that's an intellectually exciting notion.
6. Example 2: A Turing Machine
6. Example 2 A turing machine. A For the second example, I wouldlike to describe a generic turing machine as an evolving algebra.
http://www.eecs.umich.edu/gasm/tutorial/sectionstar3_7.html

Extractions: Next: 7. Example 3: Up: EVOLVING ALGEBRAS:AN ATTEMPT TO Previous: 5. Staticdynamic A: For the second example, I would like to describe a generic Turing machine as an evolving algebra. Three universes of the EA, called Control, Char and Displacement , are nonempty finite sets. InitialState and CurrentState are distinguished elements of Control Blank is a distinguished element of Char CurrentState is a dynamic distinguished element; initially, CurrentState = InitialState . Another universe, Tape , is a countable infinite set; call its elements cells Head is a dynamic distinguished cell. Move is a possibly partial function from Tape x Displacement to Tape Q: What kind of Turing machines are you talking about? Is the tape linear? Is it one-way infinite or two-way infinite? A: The kind of Turing machine is determined by further restrictions on Displacement and Move . You can choose Displacement and Move to be such that Tape with unary operations Move(c,+1), Move(c,-1) is isomorphic to natural numbers with the successor and (partial) predecessor operations. This will give you a model with a linear one-way infinite tape. You can choose Displacement and Move in a way that gives rise to two linear tapes or to one two-dimensional tape, and so on.
Turing Machine - A New Machine For Living - Review
Math Rock Schmath Rock turing machine A New Machine For Living (JadeTree). With the explosion in instrumental rock over the past
http://www.almostcool.org/mr/t/t14mu.html

Extractions: (Jade Tree) With the explosion in instrumental rock over the past couple of years on the indie scene, there have been all kinds of bands come and go. There are the almost freeform bands like Storm And Stress (although not completely instrumental) doing their thing while other bands like Don Caballerro (made up of some of the same members) perform with almost mathlike precision a lot of the time (earning their title of "math rock"). There are other bands like Tristeza who create music in more of the spaced-out realm, with lots of twinkling guitars and nicely layered keyboards. The Turing Machine falls somewhere in-between bands like Don Cab and Tristeza, playing a sort of loose blend of instrumental rock with drums, guitars, bass and the occassional keyboard that isn't actually afraid to rock at times. On this, their debut album, they run through 7 songs in about 42 minutes time and one of those clocks in at less than one minute, leaving them with some pretty lengthy tracks. While it is this length that sometimes helps the group, it's also something that hurts them a bit at some points when the songs simply drag on for a bit too long without direction. After the very short opening track of "4/13/72," the group drops the 7 and a half minute long "Flip Book Oscilloscope" and it's an excellent track that undulates just the right amount and completely rocks out in points. Not letting things stagnate too long, the album then pretty much explodes with the 2-minute track "The Doodler." Like the titled suggests, it's not really much more than a couple chord changes, but the group makes it blister.
WWW Computer Science Concepts: The Turing Machine
WWW Computer Science Concepts The turing machine. In 1935, he began his workin mathematical logic, which led to his creation of the 'turing machine'.
http://www.mills.edu/ACAD_INFO/MCS/CS/cs.wwwturing.html

Extractions: The Turing Machine Cogs96: Turing Machine - Nottingham Andy ( AJN194@psy.soton.ac.uk ) Thu, 23 May 1996 15:12:07 GMT A Turing Machine is a theoretical computer designed by Alan Turing in the 1930's. It consists of an infinite amount of storage space (memory), the ability to access this memory and carry out any computational algorithm. Alan Turing - (Inventor of the Turing Machine) Alan Turing created the concept of the Universial Machine, early computational machines, and computer logic. In 1935, he began his work in mathematical logic, which led to his creation of the 'Turing machine'. Turing Machines - Turing Machines In the 1930's (before the advent of the digital computer) several mathematicians began to think about what it means to be able to compute a function. Alonzo Church and Alan Turing independently arrived at equivalent conclusions. Turing Machine Intro. - By Fatima Nicholls Entscheidungsproblem was a question of decidability posed by the German mathematician, David Hilbert, in an address to the International Congress of Mathematicians in 1928. He asked if in principle, there is any definite mechanical method or process by which all mathematical questions would be decided? Alan Turing- Biography - Alan Turing was born in London on June 23, 1912,he was one of the first pioneers of computer science. He began his career at King's College, Cambridge University in 1931. University. While here he had the idea of a digital computer what was later called the Turing Machine .
Turing Machine And Encodings Of Turing Machines
Encoding of turing machines and the Universal turing machine. We above.Encoding of the AnBn turing machine. Tuples of the AnBn Machine.
http://www.rci.rutgers.edu/~cfs/472_html/TM/TuringEncodings/TuringEncodings.html

Extractions: We have presented a variety of Turing Machines ( AnBn machine and AnBnCn machine ) and in the essay on Machines and Automata briefly discussed the important idea of a Universal Turing Machine. Recall that a Universal Turing Machine (U) is one that can take as input any Turing Machine (T) together with T's input and provide the same result as T. Now there are an infinite number of Turing Machines that can be specified. (Any particular Turing Machine is of finite length, n ; but the set of such machines is infinite.) Note that once we write down a Turing Machine its structure; the sets Q and S , the start state, Q and the set of Halt states , as well as the Tuples are fixed. The fixed structure that defines a Universal Turing Machine must be capable of interpreting any particular Turing Machine, T. Now, T may have finitely but arbitrarily large Q and S , and Tuples The trick, of course, is to devise a language within which any T can be expressed. In this section we will
The Turing Machine Emulator
Configurations and. The turing machine Emulator. The basic form of the TMemulator is shown in figure 6. Figure 6 Cellular Unit of the TM. The
http://www.cs.ualberta.ca/~joe/Preprints/Sokoban/node3.html

Extractions: The shaded boxes are collections of devices representing particular subsystems of the TM. This figure represents the state control system and tape symbol for one tape cell and for only one entry state. Other states would need copies of this structure, sharing only the Tape Symbol section. These ``other states'' are represented by cloud-like regions. On entry, the only pass-reset not in the closed position would be one in the Tape Symbol region; that one would represent the symbol currently held at this tape location. In this construction, only `0', `1' and blank (`b') are represented. The pusher would proceed through the crossover devices to the pass-reset in the Entry State Indicator region, which could then be reset to the open position. Note that to exit this Cellular Unit (to the next or pervious cell) the pusher must pass through this device. The pusher may then proceed only to the Tape Symbol region, and since only one symbol is represented, only one of these devices will be open. This forces the exit route from the Tape Symbol, and passage through it erases the symbol by closing the pass-reset device. Since only one Entry State Indicator device is open, only one path is open to the pusher. Note that this path is determined by the entry state and the tape symbol, thus ensuring the TM emulation.
TIME 100 Scientists Thinkers - Alan Turing
The device in this inspired mindexperiment quickly acquired a name the Turingmachine. 1937 Landmark paper introduces the imaginary turing machine.
http://www.time.com/time/time100/scientist/profile/turing.html

Extractions: While addressing a problem in the arcane field of mathematical logic, he imagined a machine that could mimic human reasoning. Sound familiar? BY PAUL GRAY If all Alan Turing had done was answer, in the negative, a vexing question in the arcane realm of mathematical logic, few nonspecialists today would have any reason to remember him. But the method Turing used to show that certain propositions in a closed logical system cannot be proved within that systema corollary to the proof that made Kurt Godel famoushad enormous consequences in the world at large. For what this eccentric young Cambridge don did was to dream up an imaginary machinea fairly simple typewriter-like contraption capable somehow of scanning, or reading, instructions encoded on a tape of theoretically infinite length. As the scanner moved from one square of the tape to the nextresponding to the sequential commands and modifying its mechanical response if so orderedthe output of such a process, Turing demonstrated, could replicate logical human thought. The device in this inspired mind-experiment quickly acquired a name: the Turing machine. And so did another of Turing's insights. Since the instructions on the tape governed the behavior of the machine, by changing those instructions, one could induce the machine to perform the functions of all such machines. In other words, depending on the tape it scanned, the same machine could calculate numbers or play chess or do anything else of a comparable nature. Hence his device acquired a new and even grander name: the Universal Turing Machine.
Turing Machine From FOLDOC
turing machine. computability A hypothetical machine code instructions.A busy beaver is one kind of turing machine program. Dr. Hava
http://www.instantweb.com/foldoc/foldoc.cgi?Turing Machine
Turing Machine For The HP-67/97
The Museum of HP Calculators. turing machine for the HP67/97. This program isCopyright © 2001 by Alex Fink. Card Labels. turing machine. Shift, Tape start,
http://www.hpmuseum.org/software/67turing.htm

Extractions: The Museum of HP Calculators Alex Fink This program is supplied without representation or warranty of any kind. The author and The Museum of HP Calculators therefore assume no responsibility and shall have no liability, consequential or otherwise, of any kind arising from the use of this program material or any part thereof. Card Labels Turing Machine Shift Tape start Label n Rule Tape Start P? Key A B C D E A Turing machine is a very simple theoretical type of computer; however, anything which any modern computer can compute, a Turing machine with a sufficient number of states will also be able to. The machine moves around on an infinite tape containing a string of symbols; in this program the standard binary bits (0 and 1) are used. The Turing machine's "program" is a sort of table of rules. Depending on the "state" the machine is in, which in this program is a whole number from 1 to 23, and the tape symbol that it is on, it can write a new symbol in its current position (or write the same symbol in order to not change it), move either left or right on its tape, and switch to another state. There is a special state, "halt", which stops the operation of the machine. The machine starts operating in state #1. A sample rule might look like this: "If in state #17:
CSC 4170 Programming A Turing Machine
Overview Previous Next Programming a turing machine. Creating sucha list is often spoken of as programming a turing machine.
http://www.netaxs.com/people/nerp/automata/turing4.html

Extractions: Overview Previous Next Just as the productions are the "heart" of a grammar, in that most of the other components can be figured out by looking at the productions, the transitions are the heart of a Turing machine. These transitions are often given as a table or list of 5-tuples, where each tuple has the form (current state, symbol read, symbol written, direction, next state) Creating such a list is often spoken of as "programming" a Turing machine. A Turing machine is often defined to start with the read head positioned over the first (leftmost) input symbol. This isn't really necessary, because if the Turing machine starts anywhere on the nonblank portion of the tape, it's simple to get to the first input symbol. For the input alphabet (q0, a, a, L, q0) (q0, b, b, L, q0) (q0, #, #, R, q1)
LinuxGuruz Foldoc Page
Cheap Web Hosting. Was our site helpfull? Want to make a donation? $. LinuxGuruzFoldoc. turing machine. A busy beaver is one kind of turing machine program.
http://foldoc.linuxguruz.org/foldoc.php?Turing machine
Roman VEROSTKO Manchester Illuminated Universal Turing Machine At The Digital Ar
Roman VEROSTKO Manchester Illuminated Universal turing machine at theDigital Art Museum. Manchester Illuminated Universal turing machine.
http://www.dam.org/verostko/turing.htm

Extractions: Illuminated Universal Turing Machine A family of algorithmic pen plotted drawings, each presented with the binary text for a Universal Turing Machine (UTM), were created for an exhibition in Manchester on the occasion of the Ninth International Symposium on Electronic Art (1998). These drawings, reminiscent of medieval manuscript illuminations, celebrate Alan Turing's work with universal problem solver procedures. They were created especially for the Manchester-Liverpool context as homage to Alan Turing in memory of his historic work in Manchester. Executed on hot pressed Arches, each piece includes a burnished gold leaf enhancement. The following links to the Verostko site provide further information on the commitment and depth to the Alan Turing UTM by Roman Verostko Essay on the UTM in 1998 that addresses parallels between the nature of "undecidable" propositions, UTM's, and the "Cloud of Unknowing" The Manchester 1998 show The 1995 SIGGRAPH art show in LA Illumininated UTM's were shown at the Tempe show Web presentation of a UTM as a self portrait of the computer with which it is viewed Manchester Illuminated Universal Turing Machine, #23
Www.hopf.demon.co.uk/demon/turing.txt
From pvh@leftside.wcape.school.za (Peter van Heusden) Newsgroups alt.sysadmin.recoverySubject turing machine in Sendmail (v. 2) Date 18 Sep 1998 072944
http://www.hopf.demon.co.uk/demon/turing.txt

Extractions: From: pvh@leftside.wcape.school.za (Peter van Heusden) Newsgroups: alt.sysadmin.recovery Subject: Turing Machine in Sendmail (v. 2) Date: 18 Sep 1998 07:29:44 GMT Organization: Adamastor Message-ID: X-Newsreader: slrn (0.9.5.2 UNIX) After posting my initial efforts at creating a Turing Machine simulator in sendmail, I had another look at it, and now I present to the world a generalised Turing Machine simulator, written entirely in sendmail! The sendmail.cf rulesets below implement the machine. To run it, all you need is a state machine representation, and sendmail's rule testing mode. For example, here is a state machine to substract two numbers expressed in unary form - i.e. given 1 1 1 1 1 1, the result would be 1 1. 1 M R M 2 ! 1 M R M 1 ! H M H M H 2 M R M 2 ! M L M 3 ! H M H M H 3 M L M 3 ! M R M 2 ! H M H M H compile this into a map with the command 'makemap hash turing ' where tape is a sequence like that shown about (or read the rulesets for more info). If you try anything more than say 3 - 2, your sendmail will probably hit a recursion limit - read the ruleset for info on that. Of course, this proves that sendmail can do ANYTHING. Anyone going to write an operating system in sendmail now? Peter P.S. check the ruleset for line wraps before you use it, and replace spaces with tabs appropriately (i.e. between each LHS and RHS of each rule, and between the RHS of the rule and the comment) # turing machine - implement a turing machine simulator # machine representations: # # alphabet: # 1, and blank (N) # # state machine input map: #
LogBank: Database In "CALCULEMUS" --- Turing Machine - LIPS Workshop'98 * Index
CALCULEMUS Higher Level Directory LogBank Main Menu turing machine and Mechanizationof Reasoning A HalfCentury Survey Since Turing's Intelligent Machinery
http://www.calculemus.org/LogBank/Meetings/Turing98/

Extractions: Komunikat Organizacyjny nr 1 (Organizational Messages, in Polish). Komunikat nr 2: uczestnicy Warsztatów, publikacje etc. Introductory Comment. Komunikat nr 3: Program Warsztatów. Alan Mathison Turing's chronology, with a photo. ... A document of NSF, concerning intelligent-systems research and related topics.
Technomanifestos: Turing Machine
concept of the Gödel number to what is now called the turing machine, which canbe understood either as a number or as a calculating algorithm (a computer).
http://www.technomanifestos.net/index.pl?Turing_machine
John F. Hughes - Personal - Vi Turing Machine Emulation
John F. Hughes Personal - Vi turing machine emulation. home The file tm containsthe macros. The TM* files each contain a turing machine description.
http://www.cs.brown.edu/people/jfh/personal_other/amusements/hitz.html
Turing-machine Na 65 Jaar Nog Niet Met Pensioen
TURINGMACHINE NA 65 JAAR NOG NIET MET PENSIOEN. Dit jaar is de turing machine het standaard model van de computer in de informatica 65 jaar geworden.
http://www.eur.nl/fw/staff/lokhorst/ag2001.html

Extractions: G.J.C. Lokhorst. Turing-machine na 65 jaar nog niet met pensioen. Automatisering Gids , 35 (19): 15, May 11, 2001. ISSN 0165-4683. De Turing machine heeft dit jaar de pensioengerechtigde leeftijd bereikt. Zou de tijd zo langzamerhand niet gekomen zijn om eens over krachtiger rekenmachines na te denken? Ja, zeggen de zogenaamde `hypercomputationalisten', een groeiend internationaal gezelschap van onderzoekers dat zich bezighoudt met `hypercomputers' (ook wel `super Turing machines' genoemd), computers die fundamenteel krachtiger zijn dan de Turing machine. Deze onderzoekers laten steeds meer van zich horen: vorig jaar vond de eerste internationale conferentie over hypercomputation plaats op University College in Londen, het aantal publicaties in de wetenschappelijke literatuur neemt toe, Scientific American heeft het onderwerp opgepikt (april 1999), en er is inmiddels een speciale website aan dit thema gewijd (www.hypercomputation.net). Zoals te verwachten valt, zijn vooral niet-informatici (met name natuurkundigen, filosofen, logici en wiskundigen) met dit onderwerp bezig; de informatica is nog steeds volledig in de ban van Turing. De resultaten zijn op dit moment alleen nog maar van theoretisch belang; men is nog druk bezig om zich te bevrijden van het dominante Turing machine model en andere wegen te verkennen. De eerste toepassingen zijn echter al aangekondigd: Mike Stannett van The Noise Factory (Verenigd Koninkrijk) is van plan de eerste hypercomputer over een paar jaar op de markt te brengen.
CMSC 451 Simulators
download/tm.cpp . turing machine, TM simulator. The C++ source output b_add.chkNondeterministic turing machine, NTM simulator. The C++ source
http://www.csee.umbc.edu/~squire/cs451_sim.html

Extractions: [syllabus] [lecture notes] [HW7-10,Q2,F] [project] ... [computable definitions] CMSC 451 Automata Theory and Formal Languages Contents Turing Machine, TM simulator Nondeterministic Turing Machine, NTM simulator Deterministic Finite Automata, DFA simulator Nondeterministic Finite Automata, NFA simulator ... Other Links The files referenced on this page are all available on UMBC9 (gl) for copying to your directory using a command such as: cp /afs/umbc.edu/users/s/q/squire/pub/download/tm.cpp . Turing Machine, TM simulator

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