two other uses the test of artificial intelligence Turing test the instrumental rock band TuringMachine band turing Image Maquina.png thumb An artistic representation of a Turingmachine Rules table not represented A Turingmachine is a device that manipulates symbols on a strip of tape according to a table of rules. Despite its simplicity, a Turingmachine can be adapted to simulate the logic of any .... The Turingmachine was described by Alan Turing in 1936, ref The idea came to him in mid 1935 ... Hodges 1983 129 . ref who called it an a utomatic machine . The Turingmachine is not intended as a practical ... 1936 publication, Turing wrote that the Turingmachine, here called a Logical Computing Machine ... blockquote A Turingmachine that is able to simulate any other Turingmachine is called a universal Turingmachine UTM , or simply a universal machine . A more mathematically oriented definition with a similar ... authorlink Paul Vitanyi title Turingmachine year 2009 journal Scholarpedia volume 4 url http www.scholarpedia.org article Turingmachine Importance of the Turingmachine accessdate 23 April 2010 issn 1941 6016 quote In the last three quarter of a century the Turingmachine model has proven to be of priceless ... description For visualizations of Turing machines, see Turingmachine gallery . The Turingmachine ... it, in a desultory manner . Image Turingmachine 2a.svg thumb right 300px The head is always over ... q sub 4 sub is shown over the scanned square. Drawing after Kleene 1952 p.375. Image Turingmachine ... Minsky 1967 p. 121 . More precisely, a Turingmachine consists of ol li A tape which is divided ... to be arbitrarily extendable to the left and to the right, i.e., the Turingmachine is always supplied ... the state of the Turingmachine, one of finitely many. There is one special start state with which ..., see Turingmachine examples Turing s very first machine Copy routine 3 state busy beaver Formal definition Hopcroft and Ullman 1979, p. 148 formally define a one tape Turingmachine as a 7 tuple ... more details
Mergeto Turingmachine equivalents discuss Talk Turingmachine .7Bmergefrom.7CMulti track Turing machine.7D date September 2009 turing A Multitrack Turingmachine is a specific type of Multi tape Turingmachine . In a standard n tape Turingmachine, n heads move independently along n tracks. In a n track Turingmachine, one head reads and writes on all tracks simultaneously. A tape position in a n track TuringMachine contains n symbols from the tape alphabet. It is equivalent to the standard Turingmachine and therefore accepts precisely the recursively enumerable languages. Formal definition A multitape Turingmachine can be formally defined as a 6 tuple math M langle Q, Sigma, Gamma, delta, q 0, F rangle math , where math Q math is a finite set of states math Sigma math is a finite set of symbols called the tape alphabet math Gamma in Q math math q 0 in Q math is the initial state math F subseteq Q math is the set of final or accepting states . math delta subseteq left Q backslash A times Sigma right times left Q times Sigma times d right math is a relation on states and symbols called ... math d in L,R math Proof of equivalency to standard Turingmachine This will prove that a two track Turingmachine is equivalent to a standard Turingmachine. This can be generalized to a n track Turingmachine. Let L be a recursively enumerable language. Let M math langle Q, Sigma, Gamma, delta, q 0, F rangle math be standard Turingmachine that accepts L. Let M is a two track Turingmachine ... M math The tape alphabet of a one track Turingmachine equivalent to a two track Turingmachine consists of an ordered pair. The input symbol a of a Turingmachine M can be identified as an ordered pair x,y of Turingmachine M. The one track Turingmachine is M math langle Q, Sigma times B , Gamma ... Machines pp 269 271 Category Turingmachine ... delta left q i, x 1,x 2 right math This machine also accepts L. References Thomas A. Sudkamp 2006 ... more details
refimprove date August 2010 In computational complexity , a field of computer science , random access Turing machines are an extension of Turing machine s used to speak about small complexity classes, especially for classes using logarithmic time, like DLOGTIME and the LH complexity Logarithmic Hierarchy . Definition On a random access Turing machine, there is a special pointer tape of logarithmic space accepting a binary vocabulary. The Turing machine has a special state such that when the binary number on the pointer tape is p , the Turing machine write on the working tape the p th symbol of the input. This lets the Turing machine read any letter of the input without taking time to move over the entire input. This is mandatory for complexity classes using less than linear time. References N. Immerman Descriptive complexity 1999 Springer , chapter 5 DEFAULTSORT Random Access Turing Machine Category Complexity classes Comp sci theory stub zh ... more details
Infobox musical artist See Wikipedia WikiProject Musicians name TuringMachine image caption image size background group or band origin New York City , New York , USA genre Post rock , Instrumental rock , Math rock , years active 1998 &ndash present label Frenchkiss Records , Jade Tree Records associated acts Pitchblende band Pitchblende , Panthers band Panthers , DFA Records The DFA current members Justin Chearno br Scott de Simon past members Jerry Fuchs TuringMachine is an instrumental rock band formed in New York City in 1998 by Justin Chearno and Scott DeSimon, late of DC s noise rockers Pitchblende band Pitchblende and Jerry Fuchs Gerhardt Jerry Fuchs , who had moved to New York to play with Bitch Magnet guitarist Jon Fine s new band, Vineland. Their music has been described as Angular instrumental indie rock, ref http www.pitchforkmedia.com article record review 22706 TuringMachine A New Machine for Living Schreiber, Ryan, TuringMachine A New Machine for Living from Pitchforkmedia.com ref that draws from influences as vast as vintage prog, Krautrock and post punk. ref Allmusic class artist id p398520 pure url yes Ankeny, Jason, TuringMachine from allmusic.com ref On November ... New York Times ref The last of Fuchs studio work with TuringMachine will be included posthumously ... pitchfork.com news 45520 turingmachine return with new album featuring late drummer jerry fuchs last work Battan, Carrie, TuringMachine Return With New Album Featuring Late Drummer Jerry Fuchs Last Work from Pitchfork ref Discography A New Machine for Living 2000 Juncture album Juncture 2003, appears ... Reflist External links http frenchkissrecords.com bands profile turingmachineTuringMachine on Frenchkiss Records http www.jadetree.com bands artist turingmachineTuringMachine on Jade Tree Records http pirecordings.com artist TuringMachineTuringMachine on Pi Recordings Category American ... sv TuringMachine ... more details
unsolved computer science Is P BPP ? turing In computability theory , a probabilistic Turingmachine is a non deterministic Turingmachine which randomly chooses between the available transitions at each point according to some probability distribution . In the case of equal probabilities for the transitions, it can be defined as a deterministic Turingmachine having an additional write instruction where the value of the write is uniform distribution discrete uniformly distributed in the TuringMachine s alphabet generally, an equal likelihood of writing a 1 or a 0 on to the tape. Another common reformulation is simply a deterministic Turingmachine with an added tape full of random bits called the random tape . As a consequence, a probabilistic Turingmachine can unlike a deterministic TuringMachine have stochastic results on a given input and instruction state machine, it may have different ... Turingmachine can be defined in different ways. Various polynomial time randomized computational ... which can be solved in polynomial time by a probabilistic Turingmachine but not a deterministic Turingmachine? Or can deterministic Turing machines efficiently simulate all probabilistic Turing machines with at most a polynomial slowdown? It is currently widely believed by researchers ... restrict the machine to logarithmic space instead of polynomial time, we obtain the analogous RL complexity ... for the definition of most classes of interactive proof system s, in which the verifier machine depends on randomness to avoid being predicted and tricked by the all powerful prover machine. For example ... dads HTML probablturng.html NIST website on probabilistic Turing machines DEFAULTSORT Probabilistic TuringMachine Category Models of computation Category Probabilistic complexity theory Category Turingmachine ca M quina de Turing probabil stica es M quina de Turing probabil stica eo Probableca ma ino de Turing hr Probabilisti ki Turingov stroj he ja ... more details
Image Maquina.png 200px thumb right An artistic representation of a TuringMachine . The following article is a supplement to the article Turingmachine . Turingmachine as a mechanical device Image Turingmachine 1.JPG 600px right The Turingmachine shown here consists of a special paper tape that can be erased as well as written with a tally mark . Perhaps the TABLE is made out of a similar read only paper tape reader, or perhaps it reads punched card s. Turing s biographer Andrew Hodges 1983 has written that Turing as a child liked typewriter s. A miraculous machine a mechanical process which could work on David Hilbert Hilbert s decision problem Hodges p. 98 had been suggested by G. H. Hardy , one of Turing s teachers. Nevertheless, His machine had no obvious model in anything that existed in 1936, except in general terms of the new electrical industries, with their teleprinter s, television scanning dn date February 2012 , and automatic telephone exchange connections. It was his own invention. Hodges p.109 Davis 2000 says that Turing built a binary multiplier out of electromechanical relays p. 170 . As noted in the history section of algorithm punched or printed paper tape and punched paper cards were commonplace in the 1930 s. George Boolos Boolos and Richard Jeffrey Jeffrey ... gear uppermost... p. 21 . br style clear right Turingmachine as a poor mug inside a box pulling the box along a rail Image Turingmachine from Boolos and Jeffrey.JPG thumbnail 500px right ... of algorithm . This in turn leads him to his description of the Turingmachine and his statement The evidence seems to indicate that every algorithm for any computing device has an equivalent Turingmachine algorithm ... if Church s thesis is true, it is certainly remarkable that Turing machines, with their extremely ... Turingmachine for references. Category Turingmachine ... s formulation was the first of its type to be published it preceded Turing s by a matter of a few ... more details
turing In computer science , a universal Turingmachine UTM is a Turingmachine that can simulate an arbitrary Turingmachine on arbitrary input. The universal machine essentially achieves this by reading .... Alan Turing introduced this machine in 1936 1937. This model is considered by some for example, Martin ... complexity , a multi tape universal Turingmachine need only be slower by logarithmic factor ... Every Turingmachine computes a certain fixed partial function partial computable function from .... However, we can encode the action table of any Turingmachine in a string. Thus we can construct a Turing ... the input tape, and computes the tape that the encoded Turingmachine would have computed. Turing ... who taps at a keyboard... is working on an incarnation of a Turingmachine, and that John ... states that The first interpretive routine may be said to be the Universal TuringMachine ... Interpretive ... of Turingmachine theory in computer like models appears in Wang 1957 Minsky 1967 200 . Minsky goes on to demonstrate Turing equivalence of a counter machine . With respect to the reduction of computers ... 1961 . For much more see Turingmachine equivalents references can be found at Register machine ... question about the output of a Turingmachine is undecidable. A universal Turingmachine can ... reasonable definition of those terms. For these reasons, a universal Turingmachine serves as a standard ... Turingmachine is called Turing complete . An abstract version of the universal Turingmachine is the universal ..., the input of Turingmachine can be assumed to be in the alphabet 0, 1 any other finite alphabet can be encoded over 0, 1 . The behavior of a Turingmachine M is determined by its transition function ... Turingmachine can be encoded as a string over the alphabet 0, 1 . Additionally, we convene that every invalid encoding maps to a trivial Turingmachine that immediately halts, and that every Turingmachine ... string , a Turingmachine M sub sub . Starting from the above encoding, in 1966 F. C. Hennie ... more details
turing Context date October 2009 In theoretical computer science , a Turingmachine is a theoretical machine that is used in thought experiment s to examine the abilities and limitations of computers. In essence, a Turingmachine is imagined to be a simple computer that reads and writes symbols one at a time ... of a TuringMachine s rules might thus be If you are in state 2 and you see an A , change it to a B and move left. In a deterministic Turingmachine , the set of rules prescribes at most one action to be performed for any given situation. A non deterministic Turingmachine NTM , by contrast, may have ... Turingmachine may have both If you are in state 2 and you see an A , change it to a B and move ... set. An ordinary deterministic Turingmachine DTM has a transition function that, for a given state ... position to the right, and switch to state 5. A non deterministic Turingmachine NTM differs in that the state ... in state 3. Definition A nondeterministic Turingmachine can be formally defined as a 6 tuple ... Turingmachine is that for those, the transition relation is a function the transition function ... of the Turingmachine given any possible contents of the tape, are as for standard Turing machines ... a non deterministic Turingmachine accepts a string if Clarification needed as to meaning here is it if and only if abbreviated as iff or is it if , when the machine is started on the configuration ... in polynomial time are NP complete problems. See also Probabilistic Turingmachine References ... Multitape TuringMachine free software . http sourceforge.net projects turingmachine C Simulator of a Nondeterministic Multitape TuringMachine download link from sourceforge.net DEFAULTSORT Non Deterministic TuringMachine Category Turingmachine ca M quina de Turing no determinista de Nichtdeterministische Turingmaschine eo Nedeterminisma ma ino de Turing fr Machine de Turing ... otherwise, at least one of the machine s possible computations from that configuration puts the machine ... more details
accepted by a symmetric Turingmachine running in space O S n SL is the class of problems solvable by a nondeterministic Turingmachine in logarithmic space, such that If the answer is yes, one or more computation paths accept. If the answer is no, all paths reject. If the machine can ... showed that USTCON is complete for SL class. They constructed a nondeterministic machine for USTCON, and they made a lemma for converting this machine into Symmetric TuringMachine. Then the theorem follows as any language can be accepted using a symmetric Turingmachine is logspace reducible ... Jesper Janson Category Alan Turing Category Computational complexity theory Category Turingmachine ... more details
turing The following article is a referral from the article Turingmachine . Many of the machines described here have articles that offer much more information. Machines equivalent to the Turingmachine ... than a simple universal Turingmachine can be shown to have no more power Hopcroft and Ullman p. ... by some Turingmachine. While none of the following models have been shown to have more power than the single tape, one way infinite, multi symbol Turingmachine model, their authors defined ... stayed with Turing s a machine model. The sequential machine models All of the following are called .... 18 . Tape based Turing machines Mergefrom Multi track Turingmachine discuss Talk Turingmachine ... TuringmachineTuring s a machine model Turing s 1936 a machine his name was left ended, right end infinite .... Post s Formulation 1 model of computation For more see the article Post Turingmachine Emil Post ... instruction execution. His extremely simple model can emulate any Turingmachine, and although his ... Turingmachine 1936 Post model formulation 1 to machines that still use a two way infinite binary ... machine language P For details see the article P In keeping with Wang s project to seek a Turing ... tape machines. Two stack Turingmachine Two stack Turing machines have a read only input and two ... from a library can be printed. Formal definition multi tape Turingmachine A k tape Turingmachine ... is a deterministic Turingmachine DTM . If the action table contains multiple entries for a combination of symbol and state then the machine is a non deterministic Turingmachine NDTM ... versa . Oblivious Turing machines An oblivious Turingmachine is a Turingmachine where movement ... and Fischer 1979 showed that any computation that can be performed by a multi tape Turingmachine in n steps can be performed by an oblivious two tape Turingmachine in O n log n steps. Register machine ... machine . The primitive model register machine is, in effect, a multitape 2 symbol Post Turingmachine ... more details
of a Linear Quantum TuringMachine LQTM . This is a generalization of a classical QTM that has mixed ... Turingmachine with postselection was defined by Scott Aaronson , who showed that the class of polynomial time on such a machine PostBQP is equal to the classical complexity class PP complexity ... TuringMachine and its Application to the SAT Chaos Algorithm eprint quant ph 0405191 date 2004 ... history quantum computing Comp sci theory stub Category Turingmachine Category Quantum complexity theory ...&ndash 361 year 1993 ref Quantum Turing machines can be related to classical and probabilistic Turing ... more details
turing A read only Turingmachine or Two way deterministic finite state automaton 2DFA is class of models of computability that behave like a standard Turingmachine and can move in both directions across input, except cannot write to its input tape. The machine in its bare form is equivalent to a Deterministic finite automaton in computational power, and therefore can only parse a regular language . Theory We define a standard Turingmachine by the 9 tuple math M Q, Sigma, Gamma, vdash, , delta, s, t, r math where math Q math is a finite set of states math Sigma math is the finite set of the input alphabet math Gamma math is the finite tape alphabet math vdash in Gamma Sigma math is the left endmarker math in Gamma Sigma math is the blank symbol math delta Q times Gamma rightarrow Q times Gamma times L,R math is the transition function math s in Q math is the start state math t in Q math ... by a Turingmachine in linear time . ref Computational Complexity by Wagner and Wechsung, section ... finite automaton nondeterminism the machine can parse any context free language . With two infinite stacks the machine is Turing equivalent and can parse any recursive formal language . If the machine ... and Wechsung, section 13.1 1986, isbn 9027721467 ref Applications A read only Turingmachine is used in the definition of a Universal Turingmachine to accept the definition of the Turingmachine that is to be modelled, after which computation continues with a standard Turingmachine. In modern research ... 2009 10 26 ref See also Computability Turingmachine equivalents Stack machine Queue automaton ... Lecture on finite state automata by Adam Webber DEFAULTSORT Read Only TuringMachine Category Turingmachine ... location New York isbn 0 387 94907 0 pages 158, 210, 224 ref In our 2DFA read only machine, however ... finite state machine. This machine, however, will never need to backtrack, and hence is a DFA ... more details
The article Turingmachine gives a general introduction to Turing machines, while this article covers a specific class of Turing machines. A Post Turingmachine is a program formulation of an especially simple type of Turingmachine , comprising a variant of Emil Post s Turing completeness Turing equivalent ... in May 1936, followed by Post s in October. A Post Turingmachine uses a Binary numeral system binary ... this paper. Post s model of a computation differs from the Turingmachine model in a further atomization ... in the article Turingmachine , Post, in his paper of 1947 Recursive Unsolvability of a Problem of Thue ... At this time he was still retaining the Turing state machine convention he had not formalized the notion ... binary tape Turingmachine is readily converted to an equivalent Wang program using the above instructions ... Turingmachine with its Post Turing language . The instructions are assumed to be executed sequentially ...? in Steen pages 241 267. For some reason Davis has renamed his model a Turing Post machine with one ... immediately left of the square currently scanned Examples of the Post Turingmachine Atomizing Turing ... bold style font weight bold style font weight bold B Per the Post Turingmachine conventions each of the Print ... Table action go to next instruction in sequence And per the Post Turingmachine conventions the conditional ... And per the Post Turingmachine conventions the unconditional jump Jxxx consists of a single action ... the head is stationary . State table for a 2 state Turingmachine busy beaver class wikitable style ... to the equivalent Post Turingmachine with the substitution of 7 Post Turing instructions per Turing ... the intermediate steps of the Post Turingmachine shown Image 2 state busy beaver.JPG location left ... task a Post Turingmachine will usually require fewer Post Turing states than a Turingmachine ... on a P T machine Example Multiply 3 × 4 with a Post Turingmachine Image Algorithm P T multiply ... Post Turingmachine model. This particular multiply algorithm is recursive through two loops. The head ... more details
turing The following are examples to supplement the article Turingmachine . Turing s very first example The following table is Turing s very first example Turing 1937 1. A machine can be constructed to compute ... With regard to what actions the machine actually does, Turing 1936 Undecidable p. 121 states the following ... b As observed by a number of commentators including Turing 1937 himself, e.g., Post 1936 , Post 1947 , Kleene 1952 , Wang 1954 the Turing instructions are not atomic &mdash further simplifications of the model can be made without reducing its computational power see more at Post Turingmachine . As stated in the article Turingmachine , Turing proposed that his table be further atomized by allowing ... for that symbol Because a Turingmachine s actions are not atomic, a simulation of the machine must ... example of what the machine does, we will note some peculiarities of Turing s models The convention ... . 0 The same run with all the intermediate tape printing and movements is shown here Image Turingmachine ... tape was not initially blank. What would happen? The Turingmachine would read different values than .... The example Turingmachine handles a string of 0s and 1s, with 0 represented by the blank symbol ... to accomplish its task, this Turingmachine will need only 5 states of operation, which are called ... 16 machine configurations aka Turing states class wikitable style text align center Sequence Instruction ... Image Turingmachine copy example.JPG location left 900px 3 state Busy Beaver The following Turing ... about the atomization of Turing 5 tuples see Post Turingmachine Image State diagram 3 state ... s instructions columns AF AU Image Turingmachine example 3 state busy beaver.JPG location left 900px References For complete references see Turingmachine . Ivars Peterson, 1988, The Mathematical ... Turingmachine ... out successively, and the machine then goes over into the m configuration in the final column. Undecidable ... more details
morefootnotes date May 2011 null date May 2011 In computational complexity theory , an alternating Turingmachine ATM is a non deterministic Turingmachine NTM with a rule for accepting computations that generalizes ... computation accepts. An alternating Turingmachine or to be more precise, the definition of acceptance for such a machine alternates between these modes. An alternating Turingmachine is a non deterministic Turingmachine whose states are divided into two sets existential states and universal ... . The machine as a whole accepts if the initial state is accepting. Formal definition Formally, a one tape alternating Turingmachine is a 5 tuple math M Q, Gamma, delta,q 0,g math where math Q math ... , and EXPTIME , considering the resources used by an ATM rather than a deterministic Turingmachine ... An alternating Turingmachine with k alternations is an alternating Turingmachine which switches ... Turingmachine whose states are divided into k sets. The states in even numbered sets are universal and the states in odd numbered sets are existential or vice versa . The machine has no transitions ... with at most n gates that computes the same function f . An alternating Turingmachine, with one ... cases An alternating Turingmachine in polynomial time with k alternations, starting in an existential .... DEFAULTSORT Alternating TuringMachine Category Models of computation de Alternierende Turingmaschine .... The alternating machine branches existentially to try all possible values of an existentially ..., the machine accepts or rejects according as the resulting boolean formula evaluates to true or false. Thus at an existentially quantified variable the machine is accepting if a value can be substituted ... variable the machine is accepting if any value can be substituted and the remaining problem is satisfiable. Such a machine decides quantified boolean formulas in time math n 2 math and space ..., to solve it efficiently. Complexity classes and comparison to deterministic Turing machines The following ... more details
turing In his book A New Kind of Science , Stephen Wolfram described a universal turingmachine universal 2 state 5 color Turingmachine , and conjectured ref cite book last Wolfram first Stephen authorlink ... nksonline page 709 accessdate 2009 02 10 ref that a particular 2 state 3 color Turingmachine hereinafter 2,3 Turingmachine might be universal Turingmachine universal as well. On May 14, 2007, Wolfram announced a 25,000 prize ref cite web title The Wolfram 2,3 TuringMachine Research Prize url http ... or disprove the universality of the 2,3 Turingmachine. According to Wolfram, the purpose of the prize ... P1,L, A P0,R, A The 2,3 Turingmachine Has no halt state Is trivially related to 23 other machines ... cannot be universal thus, it might seem that the 2,3 Turingmachine would be the smallest possible universal Turingmachine in terms of number of states times number of symbols . However, the results ... the 2, 3 machine does not. More generally, almost all formal definitions of Turing machines differ in details ... of states and symbols there is no single standard formal definition. The 2,3 Turingmachine also ... possible universal Turingmachine , this has not been strictly proven, and the claim is open ... and computing at the University of Birmingham UK , proved that the 2,3 Turingmachine is universal ... 10 college kid pro.html title College Kid Proves That Wolfram s TuringMachine is the Simplest Universal .... Smith first constructed a sequence of rule systems showing that the 2,3 Turingmachine is capable ... one in the sequence. Smith then showed that even though the initial condition of the 2,3 Turingmachine ..., while his construction restarts the Turingmachine automatically with no external intervention ... has unleashed a debate on the precise operational conditions a Turingmachine must satisfy in order for it to be candidate universal machine. A universal 2,3 Turingmachine has conceivable applications ... Turingmachine to compute more rapidly is an open question. See also Turingmachine Universal ... more details
Infobox programming language name Turing logo paradigm Multi paradigm programming language multi paradigm Object oriented programming object oriented , procedural programming procedural , concurrent programming concurrent year 1987 designer Ric Holt and James Cordy developer Ric Holt and James Cordy latest release version X.Y.Z release date mf yes YYYY MM DD latest release date typing static typing static , manifest typing manifest implementations dialects influenced by Concurrent Euclid , Turing programming language Turing influenced Object Oriented Turing operating system license website file ext TuringTuring Plus is a concurrent systems programming language based the Turing programming language designed by James Cordy and Ric Holt , then at the University of Toronto , in 1987. Some, but not all, of the features of Turing were eventually subsumed into Object Oriented Turing . Turing extended original Turing with processes and monitor synchronization monitor s as specified by C.A.R. Hoare as well as language constructs needed for systems programming such as binary input output, separate compilation, variables at absolute addresses, type converters and other features. Turing was explicitly designed to replace Concurrent Euclid programming language Concurrent Euclid in systems programming applications. The TUNIS TUNIS operating system , originally written in Concurrent Euclid, was recoded to Turing in its MiniTunis implementation. Turing has been used to implement several production software systems, including the TXL programming language . References cite book title The Turing Plus Report last1 Holt first1 R C authorlink1 Ric Holt last2 Cordy first2 J R authorlink2 James Cordy edition revised date 1987 09 02 publisher Computer Systems Research Institute, University of Toronto ... the Turing Plus language last1 Holt first1 R C authorlink1 Ric Holt last2 Penny first2 D A year 1988 ... cite book title The concurrent programming of operating systems using the Turing Plus language ... more details
Turing equivalence may refer to Turing completeness , having computational power equivalent to a universal TuringmachineTuring degree equivalence of sets , having the same level of unsolvability See Turingmachine equivalents . disambig ... more details
Turing Tables may refer to Tables of specifications for each instruction in a Turingmachine A misspelling of the song Turning Tables , by Adele disambig ... more details
Alan Turing 1912 1954 was a British mathematician, logician, cryptanalyst, and computer scientist. Turing may also refer to Turingmachine , a basic, abstract symbol manipulating device Church Turing thesis , the hypothesis that recursion, calculus, and the Turingmachine are of equal computational power Turing completeness , a level of computational power of a computational system Turing test , the artificial intelligence test Reverse Turing test Turing Award , the annual computer science award given by the Association for Computing Machinery Turing cipher , a cryptographic stream cipher designed for CDMA Turing programming language , a Pascal based programming language for teaching Turing Number, another term for a CAPTCHA Turing Police, a fictional law enforcement agency in the novel Neuromancer disambig da Turing de Turing el es Turing desambiguaci n fr Turing homonymie gl Turing lt Turing pt Turing ... more details
Infobox book name The Annotated Turing A Guided Tour Through Alan Turing s Historic Paper on Computability and the TuringMachine image File The Annotated Turing cover.jpg 200px author Charles Petzold language English language English subject Mathematics and computing genre Non fiction publisher John Wiley & Sons pub date 2008 media type Print paperback pages 372 isbn 978 0470229057 oclc 2008022829 dewey 511.3 52 22 congress QA267 .P48 The Annotated Turing A Guided Tour Through Alan Turing s Historic Paper on Computability and the TuringMachine is a book by Charles Petzold , published in 2008 by John Wiley & Sons, Inc. Petzold annotates Alan Turing s paper On Computable Numbers, with an Application to the Entscheidungsproblem . The book takes readers sentence by sentence through Turing s paper providing explanations, further examples, corrections, and biographical information. Table of Contents Part I. Foundations Chapter 1 This Tomb Holds Diophantus Chapter 2 The Irrational and the Transcendental Chapter 3 Centuries of Progress Part II. Computable Numbers Chapter 4 The Education of Alan Turing Chapter 5 Machines at Work Chapter 6 Addition and Multiplication Chapter 7 Also Known as Subroutines Chapter 8 Everything is a Number Chapter 9 The Universal Machine Chapter 10 Computers and Computability Chapter 11 Of Machines and Men Part III. Das Entscheidungsproblem Chapter 12 Logic and Computability Chapter 13 Computable Functions Chapter 14 The Major Proof Chapter 15 The Lambda Calculus Chapter 16 Conceiving the Continuum Part IV. And Beyond Chapter 17 Is Everything a TuringMachine? Chapter 18 Diophantus Awakes External links http theannotatedturing.com The book s website http charlespetzold.com Charles Petzold s website http www.turing.org.uk Alan Turing website maintained by Andrew Hodges http www.alanturing.net The Turing Archive for the History of Computing http www.turingarchive.org The Turing Digital Archive DEFAULTSORT Annotated Turing Category 2008 books Category ... more details
Image Turingswitch.png right thumb 200px Turing switch The Turing switch is a logical construction similar to the Turingmachine . The Turing switch models the operation of a basic network switch in a network of switches, much the same as a Turingmachine models the operation of a basic computational entity. Both are named in honor of the English logician Alan Turing . Some introductory research on the Turing switch was started at the University of Cambridge by http www.cl.cam.ac.uk jac22 Jon Crowcroft . In essence, Crowcroft suggests that instead of using general purpose computers to do packet switching, the required operations should be reduced to application specific logic and then that application specific logic should be implemented using optical components. The work is not actually based on Turing s research. A Turing switch consists of a Switched fabric switching fabric , one or more ingress interfaces also referred to as sources , one or more egress interfaces sinks , and a decision procedure to determine an egress interface given an ingress interface. Interfaces are sometimes referred to as ports. A packet cell or switched unit arrives at an ingress interface, the appropriate egress interface is determined by the decision procedure, and the packet is then transported across the switching fabric to the egress interface. A packet is a symbol or sequence of 1 s and 0 s. An ingress interface is connected to an ingress line, an egress interface to an egress line. The ingress line is said to feed the ingress interface the egress interface feeds the egress line. ref Jon Crowcroft http www.cl.cam.ac.uk techreports UCAM CL TR 556.pdf Turing Switches. Turing machines for all optical Internet routing UCAM CL TR 556 ISSN 1476 2986 January 2003 ref See also Network switch References reflist Category Networks Category Telecommunications systems Category Routers computing Category Turingmachine ... more details
if it can be used to simulate any single taped Turingmachine and thus in principle any computer ... that can simulate a Turingmachine and, per the Church Turing thesis , that any real world computer can be simulated by a Turingmachine, it is Turing equivalent to a Turingmachine. In colloquial ... system such as an abstract machine or programming language Turing completeness A computational ... . Alternatively, such a system is one that can simulate a universal Turingmachine . Turing equivalence ... Turing computable i.e., it computes precisely the same class of functions as do Turingmachine s. Alternatively ... Turingmachine. All known Turing complete systems are Turing equivalent, which adds support to the Church ... machine so as to include input streams with infinitely many 1s. History Turing completeness is significant ... machine . The Church Turing thesis states that this is a law of mathematics that a universal Turing ... Turing complete machine if it had been built at the time it was designed. Babbage appreciated ... actual implementation of a Turing complete machine appeared in 1941 the program controlled Z3 computer Z3 of Konrad Zuse , but the first machine explicitly designed to be Turing complete and widely ... to an infinite tape of data is sometimes more powerful than a Turingmachine, because the tape can .... So a computer with a random Turing oracle can compute things that a Turingmachine cannot. A machine ..., that it is because the universe itself is computable on a universal Turingmachine. This would imply that no computer more powerful than a universal Turingmachine can be built physically see Church ... of computation. Here are a few Automata theory Universal Turingmachine Lambda calculus Formal grammar language generators Formal language language recognizers Rewrite system Post Turingmachine ... Universal TuringMachine in XSLT publisher unidex.com date accessdate 2010 07 05 ref Esoteric programming ... are generated by finite state machine finite automata . A more powerful but still not Turing complete ... more details
is not dependent on the machine s ability to render words into audio. ref Turing originally suggested a teleprinter , one of the few text only communication systems available in 1950. Harv Turing 1950 p 433 ref The test was introduced by Alan Turing in his 1950 paper Computing Machinery and Intelligence ... to focus exclusively on the machine intelligence. Turing begins the 1950 paper with the claim I ... human version of the game was presented by Turing only to introduce the reader to the machine ... concludes the Turing Test cannot prove that a machine can think. sfn Searle 1980 Searle s argument ... that Turing himself was concerned with whether a machine could think and was providing a simple method ... of a human judge conversing with a human and a machine is referred to as the Standard Turing Test .... However if there was a machine that did have the potential to pass a Turing test, it would ... to give the machine a wide variety of intellectual tasks. Turing wrote that the question ... 1985 p 8 In order to pass a well designed Turing test, the machine must use natural language processing ... form of Turing s question answer game which compares the machine against the abilities of experts ... human behavior is unintelligent The Turing test requires that the machine be able to execute all human ... if the Turing test is a good operational definition of intelligence, it may not indicate that the machine ... test Another variation is described as the subject matter expert Turing test, where a machine s response ...other uses File Turing Test version 3.png thumb The standard interpretation of the Turing Test, in which ... to make the determination. Image adapted from Saygin, 2000. sfn Saygin 2000 The Turing test is a test of a machine s ability to exhibit intelligent behaviour. In Turing s original illustrative example, a human judge engages in a natural language conversation with a human and a machine designed to generate ... from one another. If the judge cannot reliably tell the machine from the human, the machine is said ... more details
B . More formally, a Turing reduction is a function computable by an oracle machine with an oracle for B . Turing reductions can be applied to both decision problem s and function problem s. If a Turing ... relative reducibility, was given by Alan Turing in 1939 in terms of oracle machine s. Later ... A math is Turing reducible to math B math and write math A leq T B math if there is an oracle machine ... then math A math is called Turing complete for math mathcal X math . Relation of Turing completeness to computational universality Turing completeness, as just defined above, corresponds only partially to Turing completeness in the sense of computational universality. Specifically, a Turingmachine is a universal Turingmachine if its halting problem i.e., the set of inputs for which it eventually ... to be computationally universal, is that the machine s halting problem be Turing complete ... of input values for which the Turingmachine with index e halts. Then the sets math A e mid e ...In computability theory , a Turing reduction from a problem A to a problem B , is a reduction complexity ... the algorithm for B at each place where the oracle machine computing A queries the oracle for B . However, because the oracle machine may query the oracle a large number of times, the resulting algorithm may require more time asymptotically than either M or the oracle machine, and may ... function s. In 1944 Emil Post used the term Turing reducibility to refer to the concept. A polynomial time reduction polynomial time Turing reduction is known as a Cook reduction , after Stephen ..., we also say A is B recursive and B computable . If there is an oracle machine that, when run ... set recursively enumerable and B computably enumerable . We say math A math is Turing equivalent ... The equivalence class es of Turing equivalent sets are called Turing degree s . The Turing degree ... P mathbb N math , a set math A subseteq mathbb N math is called Turing hard for math mathcal X math ... more details
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