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Alan turing invented binary options

Archived from the original on 20 October Retrieved 20 October Alan Turing: The Enigma. Archived from the original on 14 October Retrieved 2 January The Irish Times , 23 June English Heritage. Archived from the original on 3 September Retrieved 10 February Archived from the original on 20 July Retrieved 26 September Leonards Observer.

Archived from the original on 12 September Retrieved 3 July Archived from the original on 3 December James 11 December System Toolbox. Archived from the original on 3 August Retrieved 27 July The Guildford Dragon. Archived from the original on 19 October Retrieved 31 October Sherborne School, Dorset.

Archived PDF from the original on 26 December Retrieved 5 February The Old Shirburnian Society. Retrieved 10 October Basic Books. New York Review of Books. Archived from the original on 7 January Princeton University Press. King's College, Cambridge. Archived from the original on 7 December Retrieved 8 December Jack Copeland; Carl J. Posy; Oron Shagrir MIT Press. Mathematics and Computation.

Archived from the original on 4 March Retrieved 28 February Proceedings of the London Mathematical Society. Princeton University. Archived from the original PDF on 23 October Retrieved 4 February Britain's Greatest Codebreaker TV broadcast. UK Channel 4. In Smith, Michael; Erskine, Ralph eds. Action This Day. Archived from the original on 2 November Archived from the original on 7 April Retrieved 25 March Archived from the original on 8 April Archived from the original on 4 October Retrieved 20 April Archived PDF from the original on 29 August Archived from the original on 29 August The Lyons Press.

The Guardian. Archived from the original on 1 December Retrieved 10 December Globe Runner. Archived from the original on 18 August Retrieved 23 June Archived from the original on 14 September Retrieved 12 June Archived from the original on 8 November The MacTutor History of Mathematics archive. Archived from the original on 13 November Archived from the original on 7 July Retrieved 21 June Archived from the original on 26 June Retrieved 6 February Archived from the original on 9 July Archived from the original on 30 June Retrieved 30 June Prologue Magazine.

Fall — Archived PDF from the original on 26 June Retrieved 13 April — via National Archives. Retrieved 7 April Archived PDF from the original on 27 January Retrieved 27 January Archived from the original on 5 July Archived PDF from the original on 21 May Retrieved 7 February Alan Turing's Manchester. Manchester: Infang Publishing. Retrieved 18 March Retrieved 11 November Retrieved 22 May Minds and Machines.

Archived from the original on 23 August Retrieved 28 November Bibcode : Sci Archived from the original on 5 September Retrieved 16 December Retrieved 11 October Random House. Archived from the original on 17 January Retrieved 16 January Archived from the original on 23 June We have But the evidence is not there.

Series of 11 autograph letters to Robin Gandy, Guilford, 28 July — 11 June most before , altogether 29 pages, 8vo 2 letters dated 17 May and 26 May incomplete, lacking continuation leaves, occasional light soiling ". Archived from the original on 7 February London: Andre Deutsch. Archived from the original on 31 August Retrieved 31 August Archived from the original on 5 October Retrieved 1 September Archived from the original on 4 February Archived from the original on 27 May Retrieved 11 September Archived from the original on 10 January Archived from the original on 19 June The Independent.

Archived from the original on 24 December Retrieved 21 August Parliament of the United Kingdom. Archived from the original on 6 July Retrieved 29 August Archived from the original on 16 August Retrieved 25 September Archived from the original on 25 September Archived from the original on 2 July Archived from the original on 19 July Retrieved 19 July Archived from the original on 16 July Liberal Democrat Voice.

Archived from the original on 24 June Retrieved 24 June Manchester Evening News. Dunfermline Press. University of Manchester. Retrieved 15 December Archived from the original on 4 January Retrieved 24 December Retrieved 20 July Pink News. Archived from the original on 25 December Archived from the original on 12 June Retrieved 20 June The Daily Telegraph.

Archived from the original on 2 May Retrieved 5 April Archived from the original on 1 November Retrieved 1 November Time Magazine, vol. Retrieved 6 January The Huffington Post UK. Archived from the original on 29 December Retrieved 29 December Should Britain boycott Sochi?

Archived from the original on 15 February Retrieved 14 February Archived from the original on 22 September Retrieved 22 September Government of the United Kingdom. Archived from the original on 5 March Random Hacks.

Archived from the original on 28 June Retrieved 28 June Archived from the original on 4 November Retrieved 7 December Gay Star News. Retrieved 8 May Agar, Jon Turing and the Universal Machine. Duxford: Icon. The government machine: a revolutionary history of the computer. Alexander, C. Hugh O'D. In Cooper, S. Barry; van Leeuwen, Jan eds. Alan Turing: His Work and Impact. Waltham: Elsevier. Beniger, James The control revolution: technological and economic origins of the information society.

Cambridge, Massachusetts: Harvard University Press. Babbage, Charles Campbell-Kelly, Martin ed. Passages from the life of a philosopher. Rough Draft Printing published Bodanis, David New York: Three Rivers Press. Bruderer, Herbert: Konrad Zuse und die Schweiz. Wer hat den Computer erfunden? Computer: A History of the Information Machine. New York: Basic Books.

Ceruzzi, Paul E. A History of Modern Computing. Chandler, Alfred Cambridge, Massachusetts: Belknap Press. Church, Alonzo American Journal of Mathematics. Cooper, S. Barry; van Leeuwen, Jan New York: Elsevier. Copeland, B. Jack a. Jack, ed. The Essential Turing. Oxford: Oxford University Press. Alan Turing's Automatic Computing Engine. Jack Colossus: The secrets of Bletchley Park's code-breaking computers.

Hilton, Peter The closed world: computers and the politics of discourse in Cold War America. Gannon, Paul []. Colossus: Bletchley Park's Greatest Secret. London: Atlantic Books. Hodges, Andrew London: Burnett Books. Hochhuth, Rolf Leavitt, David The man who knew too much: Alan Turing and the invention of the computer.

Levin, Janna A Madman Dreams of Turing Machines. New York: Knopf. Lewin, Ronald Lubar, Steven Mahon, A. Wynne Press. O'Connell, H; Fitzgerald, M Irish Journal of Psychological Medicine. Irish Institute of Psychological Medicine. O'Connor, John J. Petzold, Charles Indianapolis : Wiley Publishing. Fontana History of the Human Sciences.

London: Fontana. Sipser, Michael Introduction to the Theory of Computation. PWS Publishing. Weizenbaum, Joseph Computer Power and Human Reason. London: W. Turing, Sara Stoney Alan M Turing. W Heffer. Turing's mother, who survived him by many years, wrote this page biography of her son, glorifying his life. It was published in , and so could not cover his war work. The six-page foreword by Lyn Irvine includes reminiscences and is more frequently quoted.

It was re-published by Cambridge University Press in , to honour the centenary of his birth, and included a new foreword by Martin Davis , as well as a never-before-published memoir by Turing's older brother John F. Whitemore, Hugh ; Hodges, Andrew Breaking the code. This Hugh Whitemore play tells the story of Turing's life and death. London: London Science Museum. Fellows of the Royal Society elected in Prince Philip, Duke of Edinburgh. Timelines of computing.

Before — s s s s s Scientific Women in computing. Internet conflicts Web browsers Web search engines. Namespaces Article Talk. Views Read View source View history. Help Learn to edit Community portal Recent changes Upload file. Download as PDF Printable version. Wikimedia Commons Wikinews Wikiquote.

Turing c. Suicide disputed by cyanide poisoning. Ashes scattered in gardens of Woking Crematorium. Joan Clarke engaged in ; did not marry. Alonzo Church [2]. Robin Gandy , [2] [3] Beatrice Worsley [4]. Max Newman [5]. These potential solutions are then tested by an auxiliary method to find out if any is actually a solution. Nowadays in AI both processes, generate and test, are typically carried out by the same program.

The Bombe mechanized the first process. The testing of the potential solutions the 'stops' was then carried out manually—by setting up a replica Enigma accordingly, typing in the cipher text, and seeing whether or not German words emerged.

In designing the ACE, machine intelligence was not far from Turing's thoughts—he described himself as building 'a brain' 69 and declared 'In working on the ACE I am more interested in the possibility of producing models of the action of the brain than in the practical applications to computing'. Turing's point was probably that the use of heuristic search brings with it the risk of the machine's sometimes making mistakes. In February in the rooms of the Royal Astronomical Society in Burlington House, London 71 Turing gave what is, so far as is known, the earliest public lecture to mention computer intelligence, providing a breathtaking glimpse of a new field.

He stated that '[w]hat we want is a machine that can learn from experience' and that '[t]he possibility of letting the machine alter its own instructions provides the mechanism for this'. At the end of this lecture Turing set out what he later called the 'Mathematical Objection' to the view that minds are machines. In the middle of , with little progress on the physical construction of the ACE, a thoroughly disheartened Turing applied for a twelve-month period of sabbatical leave to be spent in Cambridge.

The purpose of the leave, as described by Darwin in July , was to enable Turing to. In the summer of Turing completed a report describing the outcomes of this research. It was entitled ' Intelligent Machinery '. The headmasterly Darwin—who once complained about the 'smudgy' appearance of Turing's work 81 —was, as Turing predicted, displeased with 'Intelligent Machinery', describing it as a 'schoolboy's essay' 82 and 'not suitable for publication'.

In it Turing brilliantly introduced a number of the concepts that were later to become central in AI, in some cases after reinvention by others. These included the logic-based approach to problem-solving, now widely used in expert systems, and, in a brief passage concerning what he called 'genetical or evolutionary search' 84 , the concept of a genetic algorithm—important in both AI and Artificial Life.

The term 'genetic algorithm' was only introduced circa It contains too his intriguing claim that the concept of intelligence is an 'emotional concept'. In his article 'Computing Machinery and Intelligence' Turing described an imitation game involving an interrogator and two subjects, one male A and one female B.

The interrogator communicates with A and B from a separate room nowadays this would probably be by means of a keyboard and screen ; apart from this the three participants have no contact with each other. The interrogator's task is to find out, by asking questions, which of A and B is the man. A 's aim is that the interrogator make the wrong identification. As to B , Turing said 'The object of the game for the third player The best strategy for her is probably to give truthful answers. Turing then asked, 'What will happen when a machine takes the part of A in this game?

The interrogator's task is to discover which of A or B is the computer; to do so he or she is permitted to ask any question or put any point on any topic. The computer is allowed to do everything possible to force a wrong identification. If the computer in the computer-imitates-human game does no worse than the man in the man-imitates-woman game , it succeeds in the game.

The ability to play the imitation game successfully is Turing's proposed 'criterion for "thinking"'. The game is part of the protocol for scoring the test. This question, Turing said, replaces the question 'Can machines think? Some commentators claim that what Turing was doing in 'Computing Machinery and Intelligence' was presenting a test in which the computer is to impersonate a woman rather than a human being , its degree of success being compared with a male player's degree of success at the same task.

However, when describing his test in a radio broadcast Turing said that '[t]he idea of the test is that the machine has to try and pretend to be a man Both during and after the war Turing experimented with machine routines for playing chess: in the absence of a computer, the machine's behaviour was simulated by hand, using paper and pencil.

In Turing and David Champernowne, the mathematical economist, constructed the loose system of rules dubbed the 'Turochamp'. Turing began to program the Turochamp for the Manchester Ferranti Mark I but unfortunately never completed the task. Dietrich Prinz, who worked for Ferranti, wrote the first chess program to be implemented. In and Ferranti built two small experimental special-purpose computers for theorem-proving and other logical work.

Christopher Strachey 's Draughts Player was—apart from Turing's 'paper' chess-players—the first AI program to use heuristic search. When he returned to the NPL with a debugged version of the program, he found that a major hardware change had been made, with the result that the program would not run without substantial revision. The first AI programs to incorporate learning, written by Anthony Oettinger at the University of Cambridge, ran in Oettinger was considerably influenced by Turing's views on machine learning , and suggested that the shopping program—which simulated the behaviour of 'a small child sent on a shopping tour' —could pass a version of the Turing test in which 'the questions are restricted to Turing did not only invent the concept of the stored-program digital computer; he also pioneered the idea of computing by artificial neural networks.

The major part of his paper ' Intelligent Machinery ' is a discussion, anticipating the modern field of connectionism , of what Turing called 'unorganised machines'. Standard digital computers are superb number crunchers. Ask them to predict a rocket's trajectory or calculate the financial figures for a large multinational corporation, and they can churn out the answers in seconds.

But seemingly simple actions that people routinely perform, such as recognising a face or reading handwriting, have proved extremely difficult to program. Perhaps the networks of neurons that make up the brain have a natural facility for such tasks that standard computers lack.

Connectionism, still in its infancy, is the science of computing with networks of neurons. Researchers typically simulate the artificial neurons and their interconnections using an ordinary digital computer—just as an engineer may use a computer to simulate an aircraft wing or a weather analyst to simulate a storm system. Connectionism came to the fore in the mids, when a group based at the University of California at San Diego reported some striking experiments.

In one, an artificial neural network learned to form the past tenses of English verbs. The term 'connectionism' highlights the fact that what an artificial neural network learns is stored in its pattern of inter-neural connections. His A-type and B-type unorganised machines consist of randomly connected two-state 'neurons' whose operation is synchronised by means of a central digital clock; we call these 'Turing Nets'.

It is Turing's discussion of B-types that anticipates modern connectionism. Turing's P-type unorganised machines are not neuron-like but are modified Turing machines: they have, Turing said, 'two interfering inputs, one for "pleasure" or "reward" It is a P-type machine that Turing was speaking of when, in the course of his famous discussion of strategies for building machines to pass the Turing test, he said 'I have done some experiments with one such child-machine, and succeeded in teaching it a few things'.

B-types too can be taught, and the most significant aspect of Turing's discussion of B-types is undoubtedly his idea that an initially random network can learn to perform a specified task by means of what he described as 'interfering training' :.

In a B-type, the training process renders certain neural pathways effective and others ineffective—training hones the network for a specific task by selectively disabling and enabling connections. Turing theorized that 'the cortex of the infant is an unorganised machine, which can be organised by suitable interfering training', and he described A-type unorganised machines as 'about the simplest model of a nervous system with a random arrangement of neurons'.

Of Turing Nets, he said. In its treatment of learning, Turing's 'Intelligent Machinery' goes importantly beyond the famous paper on neural networks by McCulloch and Pitts. McCulloch said in 'I started at entirely the wrong angle What we thought we were doing and I think we succeeded fairly well was treating the brain as a Turing machine. Turing also envisaged the procedure—nowadays used extensively by connectionists—of programming training algorithms into a computer simulation of an unorganised machine.

In modern connectionism, repeated applications of a training algorithm such as the backprop or 'back propagation' algorithm cause the required pattern of connectivity to develop gradually within the network during the training phase. Turing had no algorithm for training his B-types, however. He saw the development of training algorithms for unorganised machines as a central problem.

With characteristic farsightedness Turing ended his discussion of unorganised machines by sketching the research programme that connectionists are now pursuing:. Turing was unable to pursue his research into unorganised machines very far. At the time, the only electronic stored-program computer in existence was the tiny Manchester Baby.

By the time Turing had access to the Ferranti Mark I , in , his interests had shifted and he devoted his time to modelling biological growth. Their Cybernetic Model, constructed in , was a hardware simulation of six Boolean neurons. Clark and Farley were able to train their networks—which contained a maximum of neurons—to recognise simple patterns.

The work begun by Clark and Farley was developed very considerably by Frank Rosenblatt at Cornell University, who built neural network-like computers that he called 'Perceptrons'. Modern connectionists regard Rosenblatt as the founding father of their approach, and it is still not widely realised that Turing wrote a blueprint for much of the connectionist project as early as The central aim of Artificial Life is a theoretical understanding of naturally-occurring biological life—in particular of the most conspicuous feature of living matter, its ability to self-organise i.

A-Life characteristically makes use of computers to simulate living and life-like systems. Christopher Langton, who coined the term 'Artificial Life', wrote. Turing was the first to use computer simulation to investigate a theory of 'morphogenesis'—the development of organisation and pattern in living things.

In February Turing wrote:. Shortly before the Ferranti computer arrived, Turing wrote about his work on morphogenesis in a letter to the biologist J. The letter connects Turing's work on morphogenesis with his interest in neural networks, and to some extent explains why he did not follow up his suggestion in 'Intelligent Machinery' and use the Ferranti computer to simulate his unorganised machines. In June , while in the midst of this groundbreaking work, Turing died. He left a large pile of handwritten notes concerning morphogenesis, and some programs.

The Manchester Computer Turing and the NPL lost the race to build the world's first stored-program electronic digital computer—an honour that went to the University of Manchester, where the 'Manchester Baby' ran its first program on 21 June As its name implies, the Baby was a very small computer, and the news that it had run what was only a tiny program—just 17 instructions long—for a mathematically trivial task was in Woodger's words 'greeted with hilarity' by Turing's group.

The Manchester computer project was the brainchild of Turing's friend and colleague Max Newman, whose section at Britain's wartime codebreaking headquarters, Bletchley Park, had contained 10 Colossus computers working around the clock to break German codes. It was in Newman's Computing Machine Laboratory that the Baby—the first real-world universal Turing machine—came to life. It was no coincidence that as soon as the war ended Turing and Newman both embarked on projects to create a universal Turing machine in hardware.

Even in the midst of the attack on Tunny , Newman was thinking about the universal Turing machine. As he said in a letter to von Neumann quoted in chapter 2 Codebreaking in World War II , it was just a question of waiting until he 'got out' of Bletchley Park. Moreover, it had been Newman who, in a lecture in Cambridge in , had launched Turing on the research that led to the universal Turing machine. In the lecture, Newman had defined a constructive process as one that a machine can carry out.

He explained in an interview. After Newman learned of Turing's universal computing machine early in , he developed an interest in computing machinery which he described as being at that time 'rather theoretical'. It was not until his and Newman's Bletchley days that the dream of building a miraculously fast all-purpose electronic computer took hold of them. Historians who did not know of Colossus tended to assume that Turing and Newman inherited their vision of large-scale electronic computing machinery from the ENIAC group in the U.

In reality, Colossus was the link between Turing's pre-war work and his and Newman's post-war projects to build an electronic stored-program computer. Newman had laid plans for his Computing Machine Laboratory following his appointment to the Fielden Chair of Mathematics at Manchester in September His formidable talent as an organiser, honed in the Newmanry, was now brought to bear on the problem of designing and constructing an electronic stored-program computer.

Newman applied to the Royal Society for a sizeable grant approved in May to develop such a machine. Parts of the Colossi were transferred from Bletchley Park to Manchester, including some of the electronic panels—although not before every indication of their original purpose had been removed!

At Bletchley, Newman had been chief executive of a project with a staff of over He initiated and oversaw the creation of a dazzling array of machines, all lying at the frontier of current technology not only the Robinsons and the Colossi—for descriptions of other Newmanry machines, see General Report on Tunny and Colossus: The Secrets of Bletchley Park's Codebreaking Computers.

Newman, himself no engineer, achieved these outstanding successes by the skilful use of a simple principle: get the right engineers involved, explain to them what needs to be done, and let them get on with it. Once Newman had 'placed his trust in people he cut them loose to manage according to their own judgement' said Donald Michie, Newman's assistant at Bletchley Park.

Williams did not hear about what had gone on at Bletchley until 'we were actually active in the computer field, when they thought they had something to gain from us'. Although, since Williams and Kilburn shared the later patents and shared the royalties equally, the name 'Williams-Kilburn Tube' would be more appropriate.

With his friend Patrick Blackett Langworthy Professor of Physics at Manchester and one of the most powerful figures in the University Newman had a hand in the appointment of the year-old Williams to the recently vacated Chair of Electro-Technics at Manchester.

Both Newman and Blackett were members of the appointing committee. Williams had succeeded in storing a single binary digit in the autumn of , a few weeks before he left TRE in December for the University of Manchester. The walls were of brown glazed brick and the door was labelled "Magnetism Room"'. The first program, stored on the face of a Williams Tube as a pattern of dots, was inserted manually, digit by digit, using a panel of switches.

Turing had mentioned cathode ray tube storage on page 48 of 'Proposed Electronic Calculator' , saying that this was '[m]uch the most hopeful scheme' for storage. In effect Turing anticipated the Williams Tube in some detail, six months or more before Williams first heard of the problem of digital storage.

Turing wrote:. The pattern would persist for a time, but unless a means could be found to regenerate it, the stored information would eventually disappear. Moreover, scanning the stored pattern in order to read it also tended to destroy it. The earliest regenerative memories had used electrical capacitors as the storage units. At Bletchley Park during the war the codebreaking machine Aquarius was equipped with a regenerative memory consisting of a large bank of capacitors details were not declassified until Since the charge would gradually leak away, the pattern was regenerated by means of a periodic pulse that topped up those capacitors already containing some charge—a contemporary account described the process of regeneration as proceeding 'according to the rule "to him that hath shall be given"'.

On the other side of the Atlantic, three or four years earlier, John Atanasoff had also built a capacitor-based regenerative memory capable of storing bits, for use in his largely unsuccessful valve electronic calculator. The cathode ray tube, already in widespread use in the television industry and elsewhere, seemed in theory a better bet than the capacitor as the basis for a high-speed computer memory.

Early unsuccessful experiments with cathode ray tube storage focussed, not on the ordinary type of tube recommended by Turing and later employed by Williams, but on a more complicated type of tube called an iconoscope. The iconoscope was a light-sensitive tube used in television cameras; it converted the optical image produced by the camera lens into electricity.

When the light image fell on the outside surface of a plate or 'mosaic' at the end of the iconoscope, a pattern of electrical charge was created; this pattern was read by a scanning beam of electrons inside the tube and converted into electrical current. Instead of using light, the early storage experiments placed a pattern on the iconoscope's plate by means of the electron beam that read the pattern once stored. These experiments were carried out at the Radiation Laboratory of the Massachusetts Institute of Technology, and the aim was to store, not digital information for use in electronic computers, but analogue information—lines and shapes—in connection with echo cancellation in radar.

The plan was to store a radar trace and then 'subtract' it from subsequent traces, so enabling the operator to see only moving objects. The problem was that storage could not be achieved for more than very short periods. A Radiation Laboratory account dated February reported storage of a spiral pattern 'for nearly a second under suitable conditions'.

Williams a leading expert on radar was shown the storage experiments during a visit to the Radiation Laboratory in June He later summed up what he saw there: 'You could put your signal on, and provided you went and looked for it again within half a second or so, there it was—but if you hoped to find it the next day, there it was gone.

Two iconoscopes were to be connected together and the stored information would be regenerated by means of continually passing it back and forth between the two tubes. However, no method of regeneration was discovered and the experiments did not lead anywhere.

The Moore School team was also interested in the two-tube method of regeneration, but the difficulty was to make the method work in practice. At the MIT Radiation Lab attempts were made to store analogue traces using the two-tube method, but these too were unsuccessful. At TRE Williams decided to tackle the problem of digital storage.

He had seen the unsuccessful attempt at digital storage by Eckert's team at the Moore School, and during his visit to the Radiation Lab had also seen the two-tube experiment aimed at analogue storage. Kilburn explained:. Williams never managed to get the two-tube system to work, but during his efforts to adapt the two-tube system to digital storage he discovered the phenomenon that would make cathode ray tube storage a reality, the anticipation pulse.

In the course of his attempt to store a straight line with a gap in it—effectively one bit—on the face of the cathode ray tube, Williams observed that when the electron beam was turned off at the start of the gap, an electrically charged 'marker' was naturally left on the screen. This advance warning—the anticipation pulse—could be used to control the regeneration of the line-plus-gap, by turning the regenerating beam off at the point where the gap began.

The marker was an artefact of secondary electron emissions and the whole anticipation pulse effect was a quirk of the phosphorescent substance used to coat the face of the tube. One off-the-shelf cathode ray tube was all that was required to make this method work, and Williams successfully stored one bit shortly after his discovery of the anticipation pulse. In the end, the anticipation pulse was not used in the Baby computer. Kilburn soon discovered other methods of regeneration.

Williams and Kilburn reflected in that 'it is amazing how long it took to realize the fact that if one can read a record once, then that is entirely sufficient for storage, provided that what is read can be immediately rewritten in its original position. Williams was sent a copy of 'Proposed Electronic Calculator' by the National Physical Laboratory in October —about the time of his discovery of the anticipation pulse October or November His words 'It will be necessary to At the time of the Baby and its successor, the Manchester Mark I, Williams and Kilburn were given too little credit by the mathematicians at Manchester.

Williams and Kilburn, who had translated the logico-mathematical idea of the stored-program computer into hardware, were regarded as excellent engineers but not as 'ideas men'. Fortunately the words of the late Freddie Williams survive to set the record straight:. Historians have either ignored or underestimated the roles played by Turing and Newman in the development of the stored-program computer at Manchester.

Going by Williams' later description quoted below , Newman's explanation of the stored-program computer to Williams and Kilburn—which took place early in —resembled an account that he gave in an address to the Royal Society on 4 March and which was captured in print:. Here Newman's explanation presents both Turing's three-address format for instructions source 1, source 2, destination, operation and also a single-address format address, operation associated with a central 'accumulator'.

An accumulator is a storage unit able to form the sum of an incoming number and the number already stored; this sum then replaces the previous content of the store. From Turing's point of view, its use enabled one instruction to replace three single-address instructions, so giving greater speed. Newman went on to describe program storage 'the orders shall be in a series of houses X 1, X 2, In his Royal Society lecture Newman then summed up the essentials of a stored-program computer, probably in much the same words that he used when giving his 'few lectures' the previous year to the engineers:.

As Williams and Kilburn described it, the basic rhythm of the Baby was 'four beats to the bar'. In the first beat, this address is transferred to the staticisor in the Princeton idiolect, the staticisor was called the 'function table register'. The staticisor both controls the flow of information to and from the store, and controls the execution of the instructions in the program. Also in the first beat, 1 is added to the address in C. In the second beat, the staticisor selects the line of S designated by the address received from C.

An instruction consists of a single address followed by a numerical code designating an operation called the function code ; and, correspondingly, the staticisor consists of two blocks of equipment, the s-block, which accesses the store S by means of an address as just described , and the f-block, which causes the operation specified by the function code to be carried out.

In the third beat, the present instruction is fed from P. In the fourth beat, the s-block accesses the number stored in the line of S whose address appears in the instruction, and the f-block causes the operation specified by the function code to be executed—e. After the fourth beat of the bar comes the first beat of the next bar. The diagram indicates the potential for adding a number from S to the number stored in C.

Newman had explained to the engineers what they needed to build. It is also clear that the influence on Newman of Turing's paper, and of Flowers' Colossus, was crucial. Turing's contribution to the development of Kilburn's design for the first computer has not been recognised in orthodox histories of the Manchester project. In a letter written in , Williams described in some detail what he and Kilburn were told by Newman.

Williams said that this was the 'first information' that he received about the organisation of computers, although as we will explain Kilburn had in fact already received a thorough grounding in the basics of computer design in lectures given by Turing in London. Williams said, accurately enough, that the Baby machine was an 'embodiment' of what he and Kilburn were told by Newman in the 'few lectures' that he gave them in Yet in its detailed twists and turns, the story of the coming into existence of the Baby is much more complicated than Williams' summary conveys:.

The use of subtraction as the basic arithmetical operation was a clever idea that simplified the logical design of the Baby computer. In an interview Williams explained why subtraction was chosen:. The detailed design of the Baby was largely done by Kilburn. Nevertheless, the fundamental architectural ideas embodied in the Baby were neither Kilburn's nor Williams'.

Turing's early input to the developments at Manchester, hinted at by Williams in his above-quoted reference to Turing, was via the lectures on computer design that Turing and his assistant Wilkinson gave in London during the period December to February the lecture notes are in Alan Turing's Automatic Computing Engine. Representatives attended from various organisations that planned to use or build an electronic computer.

Among the audience was Kilburn. Kilburn usually said, when asked where he got his basic knowledge of the computer from, that he could not remember ; for example, in a interview he said, 'Between early and early , in that period, somehow or other I knew what a digital computer was Where I got this knowledge from I've no idea'.

In a subsequent report written when the computer was working, Kilburn said 'I wish to acknowledge my indebtedness to Prof. Newman, and Mr. Turing for much helpful discussion of the mathematical requirements of digital computing machines'. Turing's influence on the evolution of Kilburn's design for the Baby machine was in fact considerable.

The hypothetical machine, he said, had 'the sole purpose of demonstrating the function of the storage system'. An instruction consisted of two numbers, a source number s and a destination number d , which control a source tree and a destination tree respectively. In Kilburn's design, as in Version V of the ACE, instructions contained no 'operation code' an operation code is the code-name of a operation, for example addition.

The operation that was to be performed was implied by the destination number. The source tree accesses the number with address s in the main memory, and the destination tree accesses the destination, which is to say accesses the unit that will perform the required operation, e. Each operand is routed from the main memory via the source tree to the destination tree.

There was no central accumulator, and everything was very different from the centralised design being promulgated by von Neumann in the United States. Concerning the provenance of his design, Kilburn said rather vaguely that the design 'contain[ed] the essential framework of proposed machines'. The explanation of how it was that by Kilburn 'somehow or other Here, in briefest outline, is the explanation that Kilburn received, during the lectures, of how to build a computer:.

Certain [delay] lines are used exclusively for certain purposes For example, lines 2 and 3 are always used for addition. In order that a combination of 10 signals It is clear, then, that Turing supplied the central ideas leading to Kilburn's hypothetical machine: the basic design of the machine was that proposed by Turing for the ACE and described in Turing's lectures. In an interview Kilburn said dismissively that the 'only thing' he 'got from' Turing's lectures 'was an absolute certainty that my computer wasn't going to look like that'.

Turing was Kilburn's mentor, but once Kilburn had learned all he neede, he went his own way, and his ACE-like design was in fact a dead end; it bore very little relation to the actual Baby. The Baby was a centralised machine see diagram. All calculations were performed by transfers of numbers between the Store and the central Accumulator.

Kilburn himself, in later life, was an important source of what has unfortunately become the canonical view of the roles of Turing and Newman—or rather their lack of role—in the origin of the Baby. Although in his first papers on the Manchester computer Kilburn gave credit to both Turing and Newman, in later years he was at pains to assert the independence of his and Williams' work from outside influence, presenting the history of the Baby in a way that assigned no role to Turing or to Newman.

In an interview with Copeland in , Kilburn emphasised that Newman 'contributed nothing to the first machine' the Baby. Kilburn said: 'What I'm saying is that the origin is not Newman in any way whatsoever. I know it has been described by others as such—but it wasn't'. Turing's only contributions, Kilburn said, came after the computer was working, and included preparing a 'completely useless' programming manual. Another claim in the orthodox history of computing is that the Manchester computer was a wholly and uniquely British achievement—the very first modern computer, conceived and built by Kilburn, Williams and a couple of lads, in the same city that had given birth to the first industrial revolution nearly two centuries previously.

However, close study of the documentary evidence reveals the considerable extent to which the Baby was indebted to American ideas. The National Science Foundation 'family tree' of computer design 72 Click to enlarge in new window. However, the Tree also mistakenly portrayed the ACE as an outgrowth from the same sturdy trunk. Those who drew the tree in the late s were blissfully ignorant of Colossus, and failed to recognise the other trunk on the opposite side of the Atlantic.

Yet in the case of the Manchester computer, by a mixture of luck and jingoism the authors of the tree got the picture partly right. The key question is: to what extent was the design of the Manchester Baby influenced by the thinking of von Neumann and his associates at the Moore School and Princeton? Presper Eckert's role has already been touched upon in the sub-section The regeneration principle. Kilburn spoke scathingly of the von Neumann 'dictat' and Geoff Tootill said:.

Williams himself, however, was aware that the thinking of the Manchester engineers might have been indirectly influenced by von Neumann. In a letter, after emphasising the fact that his first knowledge of computer design came from Newman, he remarked that the information 'may have derived from America through Newman'. Newman was eager for all the fresh ideas about computers he could gather. In the summer of he and Jack Good visited Turing at the National Physical Laboratory for several days, in order to learn as much as they could about the design of the ACE.

On his return to Manchester from Princeton, Newman gave two or three lectures on computer design to Williams and Kilburn described above. Turing's lecture series had already provided Kilburn with a detailed and extended introduction to the state of the art; but Newman's emphasis on the use of a central accumulator must have opened Kilburn's eyes to the simplicity of a centralised design.

Newman's lectures inspired Good to write a few pages of notes expressing his first ideas on what the basic operations of a general-purpose computer should be. In , in his acceptance speech for the IEEE Computer Pioneer Award, Good announced that he had made a proposal for the Baby machine's basic instructions; the proposal was made 'at Kilburn's request', he said.

The set of basic operations that Good supplied to Kilburn was in fact nothing more than a simplification of the more complex set given in von Neumann's 'Preliminary Discussion of the Logical Design of an Electronic Computing Instrument'. Von Neumann had himself pointed out that the set of operations he listed could be simplified, saying 'many can be programmed by means of the others'.

Kilburn's instruction set for the Baby was a subset of Good's May instruction set. The two shift operations 9 and 10 were logically redundant, and could be dispensed with in a minimal machine as Good noted, the left shift is just multiplication by 2, and the right shift is division by 2. Good's instructions 5 , 6 and 8 were also unnecessary, since there was no arithmetic register R in the Baby.

Once Kilburn had had the idea that the only arithmetical operation should be subtraction, and had reduced Good's instruction set from 12 basic operations to 5, he knew what he needed to build: a minimal machine whose hardware components were the Store, Accumulator, and Control presupposed by Good's operations.

Kilburn never acknowledged a debt to Good—let alone to von Neumann—but as he himself said, 'You can't start building until you have got an instruction code'. He did not mention Good. Kilburn did not realise that Good was in effect acting as a courier, carrying Princeton ideas to himself and Williams—or that Newman had played a similar role in his lectures.

The logical design of the Baby is in fact virtually identical to a Princeton design by von Neumann and his group—a finding that places the Manchester Baby in a very new light. From the beginning Newman's plan had been that, in order to have a computer ready for experimental work as soon as possible, 'one of the types already under construction in should be copied'.

The Princeton design involved 40 memory units working in parallel. Huskey's summary of logical aspects of the Princeton design published in Alan Turing's Automatic Computing Engine makes it obvious that the design of the Baby adhered very closely to American thinking.

Aside from Kilburn's idea of using subtraction as the single basic arithmetical operation, the basic logical structure of the Baby was more or less identical to that being proposed at Princeton. Huskey wrote in The Baby's originality certainly does not lie in its logical design, but in its cathode ray tube memory and its electronic engineering. It was as electronic engineers, not computer architects, that Williams and Kilburn led the world in Just as key logical ideas flowed from Princeton to Manchester, key engineering ideas flowed in the opposite direction.

In the summer of Bigelow travelled to Manchester to see the Williams Tube memory in operation. When the Princeton computer was eventually completed in , its main memory consisted of 40 Williams Tubes. Newman lured a 'very fed up' Turing to Manchester, where he was appointed Deputy Director of the Computing Machine Laboratory there was no Director.

Once Turing arrived in Manchester he got the computer working properly, designing an input mechanism and the programming system for an expanded machine, and he wrote a programming manual. In a letter Williams described what was, from his point of view as an engineer, Turing's 'major contribution' to the full-scale machine:. This five-hole paper tape was the daily bread of Bletchley's attack on Tunny. So too was the five-bit teleprinter code which Turing used at Manchester to express machine-code programs in the form of keyboard characters.

This input machine employed a row of photocells to read the moving teleprinter tape—technology similar to that used in Colossus and Heath Robinson. The device delivered input to the Manchester computer at the rate of five-bit characters per second, which approached the maximum that the computer was able to handle. Turing and Newman also contributed to the instruction set of the full-scale computer. Kilburn reported that at this time Newman contributed another key idea to the plans for the full-scale computer: the concept of multilength numbers.

At Manchester Turing at last had his hands on a stored-program computer. And while the rest of the world was just waking up to the idea that electronics was the new way to do binary arithmetic, Turing was talking very seriously about programming digital computers to think see chapter 9 Turing and Artificial Intelligence.

It was at a conference held in June to celebrate the inauguration of the EDSAC that Turing presented his early paper on what is now called program verification, 'Checking a Large Routine'. Bureau of Standards in Washington D. Womersley had himself been a member of the Interdepartmental Technical Committee that in April had recommended the creation at the NPL of a Mathematics Division whose primary objective was to 'undertake research into new computing methods and machines'.

His proposals were far-sighted at a time when no electronic computers were in existence apart from the—invisible—Colossus. The minutes of the meeting summarize his speech:. In November Womersley wrote a fascinating synopsis of the principal events that led to the establishment of the ACE project:.

Persuading Turing to join the embryonic ACE project was a great coup, testifying to Womersley's vision and initiative even locating Turing, who was at that time engaged in secret work, could not have been straightforward. Turing was even more highly qualified for the job than Womersley realised. While Womersley clearly understood the importance of Turing's pre-war article 'On Computable Numbers, with an Application to the Entscheidungsproblem', he was completely unaware of the highly secret developments in electronic computing that had taken place during the war at Bletchley Park, where Turing was among the few who knew of Colossus.

Turing's employment at the NPL commenced on 1 October , by which time Mathematics Division was 'functioning on a limited scale'. By the end of he had completed his technical report 'Proposed Electronic Calculator'. He wrote to Darwin:. As mentioned previously, Womersley had no knowledge of Colossus.

Consequently his view of the technological developments in computing was distorted, and he tended to exaggerate the intellectual debt owed by the ACE to the ENIAC and to the relay i. Discussion was deferred until the March meeting, when the 'Committee resolved unanimously to support with enthusiasm the proposal that Mathematics Division should undertake the development and construction of an automatic computing engine of the type proposed by Dr.

Notice his claim, mentioned earlier, that a single electronic computer might suffice for 'the whole country':. However, as a result of ineffective management this would take much longer than anyone expected. By the time of Wilkinson's arrival Turing had reached what he called 'Version V' of the design. Woodger explains: 'My understanding is that the original report ['Proposed Electronic Calculator'] was not a Version as such but a general proposal.

In 'Proposed Electronic Calculator' Turing had emphasized that work on writing programs i. Moreover, this policy would, he said, 'avoid some of the delay between the delivery of the machine and the production of results'. Turing made this point again in a letter to Darwin: 'A large body of programming must be completed beforehand, if any serious work is to be done on the machine when it is made'.

An end-of-year report summarized their achievements:. All this work was, of course, directed toward a machine that existed only on paper. The ACE Section, consisting only of three mathematicians, had no facilities to construct the computer. Turing knew that Flowers, who had designed and built Colossus, was uniquely qualified to undertake the construction of the ACE. The 'arrears' mentioned by Radley were backlogs of urgent work on the national telephone system at that time managed by the Post Office.

His section was, Flowers said, 'too busy to do other people's work'. In August Darwin observed that the Post Office was 'not in a position to plunge very deep' and by November he was expressing concern to Radley and others at the Post Office about the 'slow rate of progress' on the ACE.

Initially the NPL persisted with the idea of placing a contract for the construction of the ACE with an outside organization. But this proved very difficult. Engineers experienced in the new art of digital electronics were scarce. Larger firms were 'likely to be too tied up with television and other consumer goods', and a suitable smaller company could not be found.

The NPL also attemped to enlist the help of other public institutions. Williams helping us on our ACE' over two months after Womersley had made his initial approach—the pace of events was slow at the National Physical Laboratory.

Darwin realised that Williams' proposed memory was in Darwin's own words 'a most promising alternative But on the other hand, Turing's design for the ACE was intimately based on the mercury delay line. An enforced collaboration between Turing and the pioneer of cathode ray tube memory might not have worked out well!

Turing', Hartree said. By the beginning of there were no new initiatives to report. As previously mentioned, during Turing kept changing the logical design of the machine, and the NPL even considered using cathode ray tube memory in place of mercury delay lines—a change that would have meant most of the work done by Chandler and Coombs was wasted. Coombs described the situation from the engineers' point of view:. The situation improved when Harry Huskey—an engineer—arrived in Maths Division on a fixed-term contract.

Hartree was one of the few outsiders to know about Colossus; shortly after the end of the war Newman had invited him to Bletchley Park to look at Colossus. Huskey soon suggested that the ACE Section itself make a start on constructing the computer and he proposed to Womersley that a small test assembly be built. With Womersley's blessing, Huskey, Wilkinson and Woodger began work.

The new machine—soon called the 'Test Assembly'—was to be housed in the Babbage Building, a short distance from Maths Division. Turing was not in favour of this development. On the one hand the Test Assembly was to be a small computer in its own right, involving much more equipment than was strictly necessary to test the fundamentals of Turing's design, and yet on the other it fell far short of being the ACE, so possibly Turing saw Huskey's project as diverting effort from his own.

According to Wilkinson, Turing 'tended to ignore the Test Assembly', simply 'standing to one side'. What's Version H? So I said, "It's Huskey's. Huskey and the others pushed ahead with the Test Assembly. By about the middle of , the NPL workshops were fabricating a mercury delay line to Huskey's specifications, valve types had been chosen and circuit block diagrams made, source and destination decisions had been taken, and programs were being written to check these decisions.

Fieller expected—very optimistically—that the Test Assembly would 'be ready by the end of November'. I certainly hoped the group would have it working in In January Turing had gone to the United States, visiting several of the groups that were attempting to build an electronic stored-program computer.

In his report on this visit he wrote:. Darwin decided that NPL's Radio Division was the best place for the experimental engineering work to be carried out. The minutes of the March meeting of the Executive Committee outlined the new arrangements:. The wheels of administration turned slowly and the idea of an in-house electronics section took several months to implement.

At the end of April a joint minute to Darwin from Womersley and R. Smith-Rose, Superintendent of Radio Division, suggested that individuals be transferred from other Divisions to Radio Division in order to form 'the nucleus of a future electronics section':. By August the months of 'careful consideration' finally came to an end and notes were sent out by E.

Hiscocks the Secretary of the NPL to the Superintendents of various Divisions instructing them to transfer staff to Radio Division for a period of six months. Smith-Rose reported to Darwin: 'We are now in a position to commence experimental work in the development of the A.

Both Newman and Clayden were immersed in A. Even before the inaugural meeting, trouble was brewing behind the scenes. On 12 August Hiscocks wrote to Darwin to alert him to what seemed to be empire-building on Thomas's part:. Thomas the empire-builder soon petitioned Darwin to curtail the construction work in the ACE Section.

Wilkinson said in an interview given in 'Thomas particularly didn't like Thomas persuaded the Director to lay it down that all work should be done in the Electronics Section and Darwin decreed that we should stop work on the Test Assembly'. The result was that the construction of the ACE drew almost to a standstill. Although Newman and Clayden were skilled in digital techniques, Thomas's group had much to learn. Thomas's own background was not in digital electronics at all but in radio and industrial electronics.

The group 'began to develop their knowledge of pulse techniques', said Wilkinson, and 'for a while they just did basic things and became more familiar with the electronics they needed to learn to build a computer'. As Womersley summed up the situation shortly afterwards, hardware development was 'probably as far advanced 18 months ago'.

It seems probable that, given better management at the NPL, a minimal computer based on Turing's Version V could have run a program during Turing first proposed an in-house electronics section at the NPL in his report of 3 February The Radio Division group could have been set up in six weeks rather than six months. In August Womersley had pressed for this course of action, but Thomas threw a spanner in the works.

In mid Turing applied for a period of sabbatical leave to be spent at his Cambridge college. He proposed to pursue research on machine intelligence. Turing left for Cambridge in the autumn of The struggle to bring the ACE into existence was now led by Wilkinson. In Wilkinson recollected:. The combined group decided that the best course of action was to revive the Test Assembly, now described as a 'pilot model'.

The group completely redesigned the electronics of the machine. Soon the mathematicians from the ACE Section found themselves in a novel milieu. Woodger recalled: 'We set ourselves up in a little assembly line with Each of us had a soldering iron and we produced these things and passed them down the line. Oh, it was tremendous fun'. Later known affectionately as 'Succ.

Digs' successive digits , the program turned on a row of 32 lights on the control panel at a speed determined by size of the number on the input switches. Unreliable components were a problem and it was September before the machine had an error-free run of half an hour. The Pilot ACE was a huge success. It was used both to carry out research in numerical analysis and to do paid work through Mathematics Division's scientific computing service.

The Pilot ACE remained in continuous service until replaced by the first DEUCE in , by which time 'the amount of maintenance it require[d] preclude[d] it from being used economically as a computer'. Towards the end of , the NPL's efforts to find an engineering company willing to assist with the ACE at last bore fruit. This contract was approved by the Treasury in May In an NPL memorandum set out a number of reasons for desiring to 'continue the collaboration with the E. Work began on a full-scale ACE in the autumn of Illingworth outlined the reasons for proceeding to this final stage of the project:.

Only one was made. Wilkinson, Clayden, Davies, Newman, and Woodger all contributed to the final design. Uttley Superintendent of the Control Mechanisms and Electronics Division, as the Electronics Section had by then become announced: 'Today, Turing's dream has come true'.

The Big ACE was not the revolutionary machine that it would have been if completed six or seven years earlier. Not only did it employ valves in the era of the transistor, the designers also retained the by then outmoded mercury delay line memory proposed by Turing in In Colebrook urged that the proposed full-scale ACE 'be based on well proved components and techniques, even when revolutionary developments seem to be just around the corner'.

Turing's paper 'On Computable Numbers' gave the world the fundamental ingredients of the modern computer: the stored program concept and the concept of a universal machine. In the United States, von Neumann placed Turing's concept of a stored-program universal computer into the hands of the electronic engineers who would build the first American machines. The paper profoundly influenced Newman , in whose Computing Machine Laboratory at Manchester in the first functioning electronic stored-program computer came to life.

Turing taught Kilburn, the designer of this machine, the fundamentals of computer architecture in lectures in The first single-user, desk-side computer—the first personal computer—was also based on the ACE design Huskey's G Huskey's minimal ACE the Test Assembly might well have been the first electronic stored-program computer.

In addition to his remarkable theoretical and practical contributions to the development of the computer, Turing was the first pioneer of the areas of computing now known as Artificial Intelligence and Artificial Life. Artificial Intelligence Oxford: Blackwell, McCulloch's essay, "Where is Fancy Bred? Neurocomputing Reading, Mass. Fowler, H. Meinhardt, and P. James and P.

Redrawn by Parker Bright and Jack Copeland. Digitally restored from a copy of the original by Olwen Harrison and Jack Copeland. Reproduced by permission of the National Science Foundation. Faster Than Thought London: Pitman, A photo of Ed Newman is wrongly identified as Max Newman on p.

This web-book draws extensively on material from our previous publications, including: Copeland, B. Included in Copeland, B. Turing', The Times , 16 June , p. Much additional information about Newman is to be found in this volume, in chs. See also the biographical material on Newman in Copeland, B. Freeman, , p. Burks, A. Alan M. Turing Cambridge: W. Heffer, , p. The quotation is from pp. Audiotape of interview, supplied to Copeland by the archives of the London Science Museum in ; transcribed by Copeland When Ulam and von Neumann were touring in Europe during the summer of , von Neumann devised a mathematical game involving Turing-machine-like descriptions of numbers Ulam reported by William Aspray in his John von Neumann and the Origins of Modern Computing Cambridge, Mass.

Copeland is grateful to Randell for giving him a copy of the letter. See also Aspray, W. Copeland is grateful to Bigelow for sending a transcript of excerpts from the interview. Burks ; the quotation is from p. See also Goldstine, H. Audiotape of interview, supplied to Copeland by the archives of the London Science Museum in The quotation is from p.

On Turing's test, see Proudfoot, D. On philosophical issues in AI, see Proudfoot, D. Copeland is grateful to Prinz's daughter, Daniela Derbyshire, for sending him a copy of Gradwell's article.

For a time he led Hut 8the section that was responsible for German naval cryptanalysis.

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Turing was employed by the British government in its Government Code and Cypher School where he worked on breaking ciphers related to German communications. Winston Churchill stated that Turing's contribution was the "single biggest" contribution in the war against the Nazis. Military strategists estimate that the development of Turing's machine shortened World War II by up to four years. Despite his achievements, Turing was prosecuted for homosexuality in and chemically castrated as punishment.

He committed suicide in at the age of 41 when he ate an apple laced with cyanide. There is also a Bertrand Russell quotation: "Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture. In , Time magazine named Turing as one of the Most Important People of the 20th century and stated, "The fact remains that everyone who taps at a keyboard, opening a spreadsheet or a word-processing program, is working on an incarnation of a Turing machine.

In May it was reported by Gay Star News that a foot 3. Historic England , however, was quoted as saying that the abstract work of 19 steel slabs " This would result in harm, of a less than substantial nature, to the significance of the listed buildings and landscape, and by extension the conservation area. From Wikipedia, the free encyclopedia. English mathematician and computer scientist. For other uses, see Turing disambiguation. Maida Vale , London, England. Wilmslow , Cheshire, England. Logic Mathematics Cryptanalysis Computer science Mathematical and theoretical biology [1].

Main article: Bombe. Main article: Legacy of Alan Turing. See also: List of things named after Alan Turing. Main article: Alan Turing Year. On axiomatic systems in mathematics and theories in physics PhD thesis. University of Cambridge. Archived from the original on 9 December Retrieved 9 December In Bowen, Jonathan P. Engineering Trustworthy Software Systems.

SETSS Lecture Notes in Computer Science. Cham: Springer. In Copeland, B. Jack ; Bowen, Jonathan P. The Turing Guide. Oxford University Press. The British Library. Archived from the original on 23 July Retrieved 29 July Who's Who.

Biographical Memoirs of Fellows of the Royal Society. Archived from the original on 19 January Retrieved 10 January Providing a blueprint for the electronic digital computer. The fact remains that everyone who taps at a keyboard, opening a spreadsheet or a word-processing program, is working on an incarnation of a Turing machine. BBC News Technology.

Archived from the original on 11 October Retrieved 26 October However, both The Churchill Centre and Turing's biographer Andrew Hodges have stated they know of no documentary evidence to support this claim, nor of the date or context in which Churchill supposedly said it, and the Churchill Centre lists it among their Churchill 'Myths', see Schilling, Jonathan 8 January The Churchill Centre: Myths.

Archived from the original on 17 February Retrieved 9 January Update to Alan Turing: The Enigma. Archived from the original on 20 January A BBC News profile piece that repeated the Churchill claim has subsequently been amended to say there is no evidence for it.

See Spencer, Clare 11 September BBC News. Archived from the original on 13 December Retrieved 17 February New York: Oxford University Press. Basingstoke, Hampshire: Macmillan Press. Archived from the original on 20 October Retrieved 20 October Alan Turing: The Enigma.

Archived from the original on 14 October Retrieved 2 January The Irish Times , 23 June English Heritage. Archived from the original on 3 September Retrieved 10 February Archived from the original on 20 July Retrieved 26 September Leonards Observer. Archived from the original on 12 September Retrieved 3 July Archived from the original on 3 December James 11 December System Toolbox.

Archived from the original on 3 August Retrieved 27 July The Guildford Dragon. Archived from the original on 19 October Retrieved 31 October Sherborne School, Dorset. Archived PDF from the original on 26 December Retrieved 5 February The Old Shirburnian Society. Retrieved 10 October Basic Books. New York Review of Books. Archived from the original on 7 January Princeton University Press.

King's College, Cambridge. Archived from the original on 7 December Retrieved 8 December Jack Copeland; Carl J. Posy; Oron Shagrir MIT Press. Mathematics and Computation. Archived from the original on 4 March Retrieved 28 February Proceedings of the London Mathematical Society. Princeton University. Archived from the original PDF on 23 October Retrieved 4 February Britain's Greatest Codebreaker TV broadcast. UK Channel 4. In Smith, Michael; Erskine, Ralph eds. Action This Day.

Archived from the original on 2 November Archived from the original on 7 April Retrieved 25 March Archived from the original on 8 April Archived from the original on 4 October Retrieved 20 April Archived PDF from the original on 29 August Archived from the original on 29 August The Lyons Press.

The Guardian. Archived from the original on 1 December Retrieved 10 December Globe Runner. Archived from the original on 18 August Retrieved 23 June Archived from the original on 14 September Retrieved 12 June Archived from the original on 8 November The MacTutor History of Mathematics archive. Archived from the original on 13 November Archived from the original on 7 July Retrieved 21 June Archived from the original on 26 June Retrieved 6 February Archived from the original on 9 July Archived from the original on 30 June Retrieved 30 June Prologue Magazine.

Fall — Archived PDF from the original on 26 June Retrieved 13 April — via National Archives. Retrieved 7 April Archived PDF from the original on 27 January Retrieved 27 January Archived from the original on 5 July Archived PDF from the original on 21 May Retrieved 7 February Alan Turing's Manchester.

Manchester: Infang Publishing. Retrieved 18 March Retrieved 11 November Retrieved 22 May Minds and Machines. Archived from the original on 23 August Retrieved 28 November Bibcode : Sci Archived from the original on 5 September Retrieved 16 December Retrieved 11 October Random House. Archived from the original on 17 January Retrieved 16 January Archived from the original on 23 June We have But the evidence is not there.

Series of 11 autograph letters to Robin Gandy, Guilford, 28 July — 11 June most before , altogether 29 pages, 8vo 2 letters dated 17 May and 26 May incomplete, lacking continuation leaves, occasional light soiling ". Archived from the original on 7 February London: Andre Deutsch. Archived from the original on 31 August Retrieved 31 August Archived from the original on 5 October Retrieved 1 September Archived from the original on 4 February Archived from the original on 27 May Retrieved 11 September Archived from the original on 10 January Archived from the original on 19 June The Independent.

Archived from the original on 24 December Retrieved 21 August Parliament of the United Kingdom. Archived from the original on 6 July Retrieved 29 August Archived from the original on 16 August Retrieved 25 September Archived from the original on 25 September Archived from the original on 2 July Archived from the original on 19 July Retrieved 19 July Archived from the original on 16 July Liberal Democrat Voice.

Archived from the original on 24 June Retrieved 24 June Manchester Evening News. Dunfermline Press. University of Manchester. Retrieved 15 December Archived from the original on 4 January Retrieved 24 December Retrieved 20 July Pink News. Archived from the original on 25 December Archived from the original on 12 June Retrieved 20 June The Daily Telegraph. Archived from the original on 2 May Retrieved 5 April Archived from the original on 1 November Retrieved 1 November Time Magazine, vol.

Retrieved 6 January The Huffington Post UK. Archived from the original on 29 December Retrieved 29 December Should Britain boycott Sochi? Archived from the original on 15 February Retrieved 14 February Archived from the original on 22 September Retrieved 22 September Government of the United Kingdom. Archived from the original on 5 March Random Hacks. Archived from the original on 28 June Retrieved 28 June Archived from the original on 4 November Retrieved 7 December Gay Star News.

Retrieved 8 May Agar, Jon Turing and the Universal Machine. Duxford: Icon. The government machine: a revolutionary history of the computer. Alexander, C. Hugh O'D. In Cooper, S. Barry; van Leeuwen, Jan eds. Alan Turing: His Work and Impact. Waltham: Elsevier. Beniger, James The control revolution: technological and economic origins of the information society. Cambridge, Massachusetts: Harvard University Press. Babbage, Charles Campbell-Kelly, Martin ed. Passages from the life of a philosopher.

Rough Draft Printing published Bodanis, David New York: Three Rivers Press. Bruderer, Herbert: Konrad Zuse und die Schweiz. Wer hat den Computer erfunden? Computer: A History of the Information Machine. New York: Basic Books. Ceruzzi, Paul E. A History of Modern Computing. Chandler, Alfred Cambridge, Massachusetts: Belknap Press. Church, Alonzo American Journal of Mathematics. Cooper, S. Barry; van Leeuwen, Jan New York: Elsevier.

Copeland, B. Jack a. Jack, ed. The Essential Turing. Oxford: Oxford University Press. Alan Turing's Automatic Computing Engine. Jack Colossus: The secrets of Bletchley Park's code-breaking computers. Hilton, Peter The closed world: computers and the politics of discourse in Cold War America.

Gannon, Paul []. Colossus: Bletchley Park's Greatest Secret. London: Atlantic Books. Hodges, Andrew

JNGBETTING

Turing's natural inclination towards mathematics and science did not earn him respect from some of the teachers at Sherborne, whose definition of education placed more emphasis on the classics. His headmaster wrote to his parents: "I hope he will not fall between two stools. If he is to stay at public school, he must aim at becoming educated.

If he is to be solely a Scientific Specialist , he is wasting his time at a public school". In , aged 16, Turing encountered Albert Einstein 's work; not only did he grasp it, but it is possible that he managed to deduce Einstein's questioning of Newton's laws of motion from a text in which this was never made explicit. At Sherborne, Turing formed a significant friendship with fellow pupil Christopher Collan Morcom 13 July — 13 February , [35] who has been described as Turing's "first love".

Their relationship provided inspiration in Turing's future endeavours, but it was cut short by Morcom's death, in February , from complications of bovine tuberculosis , contracted after drinking infected cow's milk some years previously. The event caused Turing great sorrow. He coped with his grief by working that much harder on the topics of science and mathematics that he had shared with Morcom.

I am sure I could not have found anywhere another companion so brilliant and yet so charming and unconceited. I regarded my interest in my work, and in such things as astronomy to which he introduced me as something to be shared with him and I think he felt a little the same about me I know I must put as much energy if not as much interest into my work as if he were alive, because that is what he would like me to do.

Turing's relationship with Morcom's mother continued long after Morcom's death, with her sending gifts to Turing, and him sending letters, typically on Morcom's birthdays. I expect you will be thinking of Chris when this reaches you. I shall too, and this letter is just to tell you that I shall be thinking of Chris and of you tomorrow. I am sure that he is as happy now as he was when he was here. Your affectionate Alan.

Some have speculated that Morcom's death was the cause of Turing's atheism and materialism. In a later letter, also written to Morcom's mother, Turing wrote:. Personally, I believe that spirit is really eternally connected with matter but certainly not by the same kind of body When the body is asleep I cannot guess what happens but when the body dies, the 'mechanism' of the body, holding the spirit is gone and the spirit finds a new body sooner or later, perhaps immediately.

After Sherborne, Turing studied as an undergraduate from to at King's College, Cambridge , [7] where he was awarded first-class honours in mathematics. In , at the age of 22, he was elected a Fellow of King's College on the strength of a dissertation in which he proved the central limit theorem. The Entscheidungsproblem decision problem was originally posed by German mathematician David Hilbert in Turing proved that his "universal computing machine" would be capable of performing any conceivable mathematical computation if it were representable as an algorithm.

He went on to prove that there was no solution to the decision problem by first showing that the halting problem for Turing machines is undecidable : it is not possible to decide algorithmically whether a Turing machine will ever halt. This paper has been called "easily the most influential math paper in history". Although Turing's proof was published shortly after Alonzo Church 's equivalent proof using his lambda calculus , [52] Turing's approach is considerably more accessible and intuitive than Church's.

According to the Church—Turing thesis , Turing machines and the lambda calculus are capable of computing anything that is computable. John von Neumann acknowledged that the central concept of the modern computer was due to Turing's paper.

In addition to his purely mathematical work, he studied cryptology and also built three of four stages of an electro-mechanical binary multiplier. John von Neumann wanted to hire him as his postdoctoral assistant , but he went back to the United Kingdom. When Turing returned to Cambridge, he attended lectures given in by Ludwig Wittgenstein about the foundations of mathematics.

The historian and wartime codebreaker Asa Briggs has said, "You needed exceptional talent, you needed genius at Bletchley and Turing's was that genius. Turing's approach was more general, using crib-based decryption for which he produced the functional specification of the bombe an improvement on the Polish Bomba.

By using statistical techniques to optimise the trial of different possibilities in the code breaking process, Turing made an innovative contribution to the subject. A GCHQ mathematician, "who identified himself only as Richard," said at the time that the fact that the contents had been restricted for some 70 years demonstrated their importance, and their relevance to post-war cryptanalysis: [70].

The papers detailed using "mathematical analysis to try and determine which are the more likely settings so that they can be tried as quickly as possible. Richard said that GCHQ had now "squeezed the juice" out of the two papers and was "happy for them to be released into the public domain".

Turing had a reputation for eccentricity at Bletchley Park. He was known to his colleagues as "Prof" and his treatise on Enigma was known as the "Prof's Book". In the first week of June each year he would get a bad attack of hay fever, and he would cycle to the office wearing a service gas mask to keep the pollen off. His bicycle had a fault: the chain would come off at regular intervals.

Instead of having it mended he would count the number of times the pedals went round and would get off the bicycle in time to adjust the chain by hand. Another of his eccentricities is that he chained his mug to the radiator pipes to prevent it being stolen. It is a rare experience to meet an authentic genius.

Those of us privileged to inhabit the world of scholarship are familiar with the intellectual stimulation furnished by talented colleagues. We can admire the ideas they share with us and are usually able to understand their source; we may even often believe that we ourselves could have created such concepts and originated such thoughts.

However, the experience of sharing the intellectual life of a genius is entirely different; one realizes that one is in the presence of an intelligence, a sensibility of such profundity and originality that one is filled with wonder and excitement. Alan Turing was such a genius, and those, like myself, who had the astonishing and unexpected opportunity, created by the strange exigencies of the Second World War, to be able to count Turing as colleague and friend will never forget that experience, nor can we ever lose its immense benefit to us.

His tryout time for the marathon was only 11 minutes slower than British silver medallist Thomas Richards' Olympic race time of 2 hours 35 minutes. He was Walton Athletic Club's best runner, a fact discovered when he passed the group while running alone. Within weeks of arriving at Bletchley Park, [67] Turing had specified an electromechanical machine called the bombe , which could break Enigma more effectively than the Polish bomba kryptologiczna , from which its name was derived.

The bombe, with an enhancement suggested by mathematician Gordon Welchman , became one of the primary tools, and the major automated one, used to attack Enigma-enciphered messages. The bombe searched for possible correct settings used for an Enigma message i. For each possible setting of the rotors which had on the order of 10 19 states, or 10 22 states for the four-rotor U-boat variant , [84] the bombe performed a chain of logical deductions based on the crib, implemented electromechanically.

The bombe detected when a contradiction had occurred and ruled out that setting, moving on to the next. Most of the possible settings would cause contradictions and be discarded, leaving only a few to be investigated in detail. A contradiction would occur when an enciphered letter would be turned back into the same plaintext letter, which was impossible with the Enigma.

The first bombe was installed on 18 March Building on the work of the Poles , they had set up a good working system for decrypting Enigma signals, but their limited staff and bombes meant they could not translate all the signals. In the summer, they had considerable success, and shipping losses had fallen to under , tons a month; however, they badly needed more resources to keep abreast of German adjustments. They had tried to get more people and fund more bombes through the proper channels, but had failed.

On 28 October they wrote directly to Winston Churchill explaining their difficulties, with Turing as the first named. They emphasised how small their need was compared with the vast expenditure of men and money by the forces and compared with the level of assistance they could offer to the forces. Make sure they have all they want on extreme priority and report to me that this has been done. Turing decided to tackle the particularly difficult problem of German naval Enigma "because no one else was doing anything about it and I could have it to myself".

That same night, he also conceived of the idea of Banburismus , a sequential statistical technique what Abraham Wald later called sequential analysis to assist in breaking the naval Enigma, "though I was not sure that it would work in practice, and was not, in fact, sure until some days had actually broken. Banburismus could rule out certain sequences of the Enigma rotors, substantially reducing the time needed to test settings on the bombes. The American Bombe programme was to produce Bombes, one for each wheel order.

I used to smile inwardly at the conception of Bombe hut routine implied by this programme, but thought that no particular purpose would be served by pointing out that we would not really use them in that way.

Their test of commutators can hardly be considered conclusive as they were not testing for the bounce with electronic stop finding devices. Nobody seems to be told about rods or offiziers or banburismus unless they are really going to do something about it. During this trip, he also assisted at Bell Labs with the development of secure speech devices. During his absence, Hugh Alexander had officially assumed the position of head of Hut 8, although Alexander had been de facto head for some time Turing having little interest in the day-to-day running of the section.

Turing became a general consultant for cryptanalysis at Bletchley Park. There should be no question in anyone's mind that Turing's work was the biggest factor in Hut 8's success. In the early days, he was the only cryptographer who thought the problem worth tackling and not only was he primarily responsible for the main theoretical work within the Hut, but he also shared with Welchman and Keen the chief credit for the invention of the bombe. It is always difficult to say that anyone is 'absolutely indispensable', but if anyone was indispensable to Hut 8, it was Turing.

The pioneer's work always tends to be forgotten when experience and routine later make everything seem easy and many of us in Hut 8 felt that the magnitude of Turing's contribution was never fully realised by the outside world. In July , Turing devised a technique termed Turingery or jokingly Turingismus [] for use against the Lorenz cipher messages produced by the Germans' new Geheimschreiber secret writer machine.

This was a teleprinter rotor cipher attachment codenamed Tunny at Bletchley Park. Turingery was a method of wheel-breaking , i. Turingery and the statistical approach of Banburismus undoubtedly fed into the thinking about cryptanalysis of the Lorenz cipher , [] [] but he was not directly involved in the Colossus development. Following his work at Bell Labs in the US, [] Turing pursued the idea of electronic enciphering of speech in the telephone system. At the park, he further developed his knowledge of electronics with the assistance of engineer Donald Bayley.

Together they undertook the design and construction of a portable secure voice communications machine codenamed Delilah. In any case, Delilah was completed too late to be used during the war. Though the system worked fully, with Turing demonstrating it to officials by encrypting and decrypting a recording of a Winston Churchill speech, Delilah was not adopted for use. He presented a paper on 19 February , which was the first detailed design of a stored-program computer.

Turing's own". In late he returned to Cambridge for a sabbatical year during which he produced a seminal work on Intelligent Machinery that was not published in his lifetime. The full version of Turing's ACE was not built until after his death. The interrogation had the form of a colloquium. A year later, he became Deputy Director of the Computing Machine Laboratory, where he worked on software for one of the earliest stored-program computers—the Manchester Mark 1.

Turing wrote the first version of the Programmer's Manual for this machine, and was recruited by Ferranti as a consultant in the development of their commercialised machine, the Ferranti Mark 1. He continued to be paid consultancy fees by Ferranti until his death. The idea was that a computer could be said to "think" if a human interrogator could not tell it apart, through conversation, from a human being.

In Turing, working with his former undergraduate colleague, D. Champernowne , began writing a chess program for a computer that did not yet exist. By , the program was completed and dubbed the Turochamp. Instead, Turing "ran" the program by flipping through the pages of the algorithm and carrying out its instructions on a chessboard, taking about half an hour per move.

The game was recorded. His Turing test was a significant, characteristically provocative, and lasting contribution to the debate regarding artificial intelligence, which continues after more than half a century. When Turing was 39 years old in , he turned to mathematical biology , finally publishing his masterpiece " The Chemical Basis of Morphogenesis " in January He was interested in morphogenesis , the development of patterns and shapes in biological organisms.

He suggested that a system of chemicals reacting with each other and diffusing across space, termed a reaction-diffusion system , could account for "the main phenomena of morphogenesis". For example, if a catalyst A is required for a certain chemical reaction to take place, and if the reaction produced more of the catalyst A, then we say that the reaction is autocatalytic , and there is positive feedback that can be modelled by nonlinear differential equations. Turing discovered that patterns could be created if the chemical reaction not only produced catalyst A, but also produced an inhibitor B that slowed down the production of A.

If A and B then diffused through the container at different rates, then you could have some regions where A dominated and some where B did. To calculate the extent of this, Turing would have needed a powerful computer, but these were not so freely available in , so he had to use linear approximations to solve the equations by hand.

These calculations gave the right qualitative results, and produced, for example, a uniform mixture that oddly enough had regularly spaced fixed red spots. The Russian biochemist Boris Belousov had performed experiments with similar results, but could not get his papers published because of the contemporary prejudice that any such thing violated the second law of thermodynamics.

Although published before the structure and role of DNA was understood, Turing's work on morphogenesis remains relevant today and is considered a seminal piece of work in mathematical biology. Turing was published in In , Turing proposed marriage to Hut 8 colleague Joan Clarke , a fellow mathematician and cryptanalyst, but their engagement was short-lived.

In January , Turing was 39 when he started a relationship with Arnold Murray, a year-old unemployed man. On 23 January, Turing's house was burgled. Murray told Turing that he and the burglar were acquainted, and Turing reported the crime to the police. During the investigation, he acknowledged a sexual relationship with Murray. Homosexual acts were criminal offences in the United Kingdom at that time, [] and both men were charged with " gross indecency " under Section 11 of the Criminal Law Amendment Act Turing was later convinced by the advice of his brother and his own solicitor, and he entered a plea of guilty.

Turing and Murray, was brought to trial on 31 March His probation would be conditional on his agreement to undergo hormonal physical changes designed to reduce libido. He accepted the option of injections of what was then called stilboestrol now known as diethylstilbestrol or DES , a synthetic oestrogen ; this feminization of his body was continued for the course of one year.

The treatment rendered Turing impotent and caused breast tissue to form , [] fulfilling in the literal sense Turing's prediction that "no doubt I shall emerge from it all a different man, but quite who I've not found out". He was denied entry into the United States after his conviction in , but was free to visit other European countries. Turing was never accused of espionage but, in common with all who had worked at Bletchley Park, he was prevented by the Official Secrets Act from discussing his war work.

On 8 June , Turing's housekeeper found him dead at the age of 41; he had died the previous day. Cyanide poisoning was established as the cause of death. An inquest determined that he had committed suicide. Andrew Hodges and another biographer, David Leavitt , have both speculated that Turing was re-enacting a scene from the Walt Disney film Snow White and the Seven Dwarfs , his favourite fairy tale.

Both men noted that in Leavitt's words he took "an especially keen pleasure in the scene where the Wicked Queen immerses her apple in the poisonous brew". Philosophy professor Jack Copeland has questioned various aspects of the coroner's historical verdict. He suggested an alternative explanation for the cause of Turing's death: the accidental inhalation of cyanide fumes from an apparatus used to electroplate gold onto spoons. The potassium cyanide was used to dissolve the gold.

Turing had such an apparatus set up in his tiny spare room. Copeland noted that the autopsy findings were more consistent with inhalation than with ingestion of the poison. Turing also habitually ate an apple before going to bed, and it was not unusual for the apple to be discarded half-eaten. He even set down a list of tasks that he intended to complete upon returning to his office after the holiday weekend. Conspiracy theorists pointed out that Turing was the cause of intense anxiety to the British authorities at the time of his death.

The secret services feared that communists would entrap prominent homosexuals and use them to gather intelligence. Turing was still engaged in highly classified work when he was also a practising homosexual who holidayed in European countries near the Iron Curtain. According to the conspiracy theory, it is possible that the secret services considered him too great a security risk and assassinated one of the most brilliant minds in their employ. It has been suggested that Turing's belief in fortune-telling may have caused his depressed mood.

In mid-May , shortly before his death, Turing again decided to consult a fortune-teller during a day-trip to St Annes-on-Sea with the Greenbaum family. But it was a lovely sunny day and Alan was in a cheerful mood and off we went Then he thought it would be a good idea to go to the Pleasure Beach at Blackpool.

We found a fortune-teller's tent[,] and Alan said he'd like to go in[,] so we waited around for him to come back And this sunny, cheerful visage had shrunk into a pale, shaking, horror-stricken face. Something had happened. We don't know what the fortune-teller said[,] but he obviously was deeply unhappy. I think that was probably the last time we saw him before we heard of his suicide. In August , British programmer John Graham-Cumming started a petition urging the British government to apologise for Turing's prosecution as a homosexual.

Thousands of people have come together to demand justice for Alan Turing and recognition of the appalling way he was treated. While Turing was dealt with under the law of the time and we can't put the clock back, his treatment was of course utterly unfair and I am pleased to have the chance to say how deeply sorry I and we all are for what happened to him So on behalf of the British government, and all those who live freely thanks to Alan's work I am very proud to say: we're sorry, you deserved so much better.

In December , William Jones and his Member of Parliament, John Leech , created an e-petition [] requesting that the British government pardon Turing for his conviction of "gross indecency": []. In , he was convicted of "gross indecency" with another man and was forced to undergo so-called "organo-therapy"—chemical castration.

Two years later, he killed himself with cyanide, aged just Alan Turing was driven to a terrible despair and early death by the nation he'd done so much to save. This remains a shame on the British government and British history. A pardon can go some way to healing this damage. It may act as an apology to many of the other gay men, not as well-known as Alan Turing, who were subjected to these laws. The petition gathered over 37, signatures, [] [] and was submitted to Parliament by the Manchester MP John Leech but the request was discouraged by Justice Minister Lord McNally , who said: [].

A posthumous pardon was not considered appropriate as Alan Turing was properly convicted of what at the time was a criminal offence. He would have known that his offence was against the law and that he would be prosecuted. It is tragic that Alan Turing was convicted of an offence that now seems both cruel and absurd—particularly poignant given his outstanding contribution to the war effort.

However, the law at the time required a prosecution and, as such, long-standing policy has been to accept that such convictions took place and, rather than trying to alter the historical context and to put right what cannot be put right, ensure instead that we never again return to those times. John Leech , the MP for Manchester Withington —15 , submitted several bills to Parliament [] and led a high-profile campaign to secure the pardon.

Leech made the case in the House of Commons that Turing's contribution to the war made him a national hero and that it was "ultimately just embarrassing" that the conviction still stood. On 26 July , a bill was introduced in the House of Lords to grant a statutory pardon to Turing for offences under section 11 of the Criminal Law Amendment Act , of which he was convicted on 31 March At the bill's second reading in the House of Commons on 29 November , Conservative MP Christopher Chope objected to the bill, delaying its passage.

The bill was due to return to the House of Commons on 28 February , [] but before the bill could be debated in the House of Commons, [] the government elected to proceed under the royal prerogative of mercy. On 24 December , Queen Elizabeth II signed a pardon for Turing's conviction for "gross indecency", with immediate effect.

In a letter to the Prime Minister, David Cameron , human rights advocate Peter Tatchell criticised the decision to single out Turing due to his fame and achievements when thousands of others convicted under the same law have not received pardons. A new inquiry is long overdue, even if only to dispel any doubts about the true cause of his death—including speculation that he was murdered by the security services or others. I think murder by state agents is unlikely.

There is no known evidence pointing to any such act. However, it is a major failing that this possibility has never been considered or investigated. In September , the government announced its intention to expand this retroactive exoneration to other men convicted of similar historical indecency offences, in what was described as an " Alan Turing law ".

The law applies in England and Wales. Turing was appointed an officer of the Order of the British Empire in Turing has been honoured in various ways in Manchester , the city where he worked towards the end of his life. In , a stretch of the A road the Manchester city intermediate ring road was named "Alan Turing Way".

A bridge carrying this road was widened, and carries the name Alan Turing Bridge. The memorial statue depicts the "father of computer science" sitting on a bench at a central position in the park. Turing is shown holding an apple. However, the meaning of the coded message is disputed, as the 'u' in 'computer' matches up with the 'u' in 'ADXUO'. As a letter encoded by an enigma machine cannot appear as itself, the actual message behind the code is uncertain. A plaque at the statue's feet reads 'Father of computer science, mathematician, logician, wartime codebreaker, victim of prejudice'.

There is also a Bertrand Russell quotation: "Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture. In , Time magazine named Turing as one of the Most Important People of the 20th century and stated, "The fact remains that everyone who taps at a keyboard, opening a spreadsheet or a word-processing program, is working on an incarnation of a Turing machine.

In May it was reported by Gay Star News that a foot 3. Historic England , however, was quoted as saying that the abstract work of 19 steel slabs " This would result in harm, of a less than substantial nature, to the significance of the listed buildings and landscape, and by extension the conservation area. From Wikipedia, the free encyclopedia. English mathematician and computer scientist. For other uses, see Turing disambiguation. Maida Vale , London, England. Wilmslow , Cheshire, England.

Logic Mathematics Cryptanalysis Computer science Mathematical and theoretical biology [1]. Main article: Bombe. Main article: Legacy of Alan Turing. See also: List of things named after Alan Turing. Main article: Alan Turing Year. On axiomatic systems in mathematics and theories in physics PhD thesis. University of Cambridge. Archived from the original on 9 December Retrieved 9 December In Bowen, Jonathan P. Engineering Trustworthy Software Systems.

SETSS Lecture Notes in Computer Science. Cham: Springer. In Copeland, B. Jack ; Bowen, Jonathan P. The Turing Guide. Oxford University Press. The British Library. Archived from the original on 23 July Retrieved 29 July Who's Who.

Biographical Memoirs of Fellows of the Royal Society. Archived from the original on 19 January Retrieved 10 January Providing a blueprint for the electronic digital computer. The fact remains that everyone who taps at a keyboard, opening a spreadsheet or a word-processing program, is working on an incarnation of a Turing machine. BBC News Technology. Archived from the original on 11 October Retrieved 26 October However, both The Churchill Centre and Turing's biographer Andrew Hodges have stated they know of no documentary evidence to support this claim, nor of the date or context in which Churchill supposedly said it, and the Churchill Centre lists it among their Churchill 'Myths', see Schilling, Jonathan 8 January The Churchill Centre: Myths.

Archived from the original on 17 February Retrieved 9 January Update to Alan Turing: The Enigma. Archived from the original on 20 January A BBC News profile piece that repeated the Churchill claim has subsequently been amended to say there is no evidence for it. See Spencer, Clare 11 September BBC News. Archived from the original on 13 December Retrieved 17 February New York: Oxford University Press. Basingstoke, Hampshire: Macmillan Press.

Archived from the original on 20 October Retrieved 20 October Alan Turing: The Enigma. Archived from the original on 14 October Retrieved 2 January The Irish Times , 23 June English Heritage. Archived from the original on 3 September Retrieved 10 February Archived from the original on 20 July Retrieved 26 September Leonards Observer. Archived from the original on 12 September Retrieved 3 July Archived from the original on 3 December James 11 December System Toolbox.

Archived from the original on 3 August Retrieved 27 July The Guildford Dragon. Archived from the original on 19 October The two configurations are compared. The printing and move L,R, N operations are marked with u and the next state with y. All marks z are erased. U prints the next complete configuration and erases all marks u, v, w, x, y. U first searches for the rightmost letter u , to check which move is needed R, L, N and erases the mark u for R, L, N.

The move operation L, R, N is accounted for by the particular combination of u, v, w, x, y :. This small defect was corrected by Post Post by including an additional instruction in the function used to mark the complete configuration in the next round. Since several modifications and simplifications have been implemented.

The removal of the difference between F and E -squares was already discussed in Section 1. These results are usually achieved by relying on other equivalent models of computability such as, for instance, tag systems. The same result was achieved independently by Church a, b using a different kind of formal device which is logically equivalent to a Turing machine see Sec. The result went very much against what Hilbert had hoped to achieve with his finitary and formalist program.

The true reason why Comte could not find an unsolvable problem, lies in my opinion in the assertion that there exists no unsolvable problem. Instead of the stupid Ignorabimus, our solution should be: We must know. We shall know. Note that the solvability Hilbert is referring to here concerns solvability of mathematical problems in general and not just mechanically solvable.

It is shown however in Mancosu et al. There are two main methods:. The notion of reducibility has its origins in the work of Turing and Post who considered several variants of computability Post ; Turing The concept was later appropriated in the context of computational complexity theory and is today one of the basic concepts of both computability and computational complexity theory Odifreddi ; Sipser First of all, one needs a formalism which captures the notion of computability.

Turing proposed the Turing machine formalism to this end. A second step is to show that there are problems that are not computable within the formalism. To achieve this, a uniform process U needs to be set-up relative to the formalism which is able to compute every computable number.

One can then use some form of diagonalization in combination with U to derive a contradiction. Such machines were identified by Turing as circle-free. All other machines are called circular machines. A number n which is the D. The problem to decide for every number n whether or not it is satisfactory. The proof of the uncomputability of CIRC?

Hence, it relies for its construction on the universal Turing machine and a hypothetical machine that is able to decide CIRC? Based on the uncomputability of CIRC? Turing shows that the Entscheidungsproblem is not decidable. This is achieved by showing:. A popular proof of HALT? Assume that HALT? More particularly, we have:. A popular but quite informal variant of this proof was given by Christopher Strachey in the context of programming Strachey As is clear from Sections 1.

One can use a quintuple or quadruple notation; one can have different types of symbols or just one; one can have a two-way infinite or a one-way infinite tape; etc. Several other less obvious modifications have been considered and used in the past. These modifications can be of two kinds: generalizations or restrictions.

This adds to the robustness of the Turing machine definition. It was Shannon who proved that for any Turing machine T with n symbols there is a Turing machine with two symbols that simulates T Shannon He also showed that for any Turing machine with m states, there is a Turing machine with only two states that simulates it. In Moore , it was mentioned that Shannon proved that non-erasing machines can compute what any Turing machine computes. This result was given in a context of actual digital computers of the 50s which relied on punched tape and so, for which, one cannot erase.

It was Wang who published the result Wang It was shown by Minsky that for every Turing machine there is a non-writing Turing machine with two tapes that simulates it. Instead of one tape one can consider a Turing machine with multiple tapes. This turned out the be very useful in several different contexts. For instance, Minsky, used two-tape non-writing Turing machines to prove that a certain decision problem defined by Post the decision problem for tag systems is non-Turing computable Minsky They used multitape machines because they were considered to be closer to actual digital computers.

Another variant is to consider Turing machines where the tape is not one-dimensional but n -dimensional. This variant too reduces to the one-dimensional variant. An apparently more radical reformulation of the notion of Turing machine is that of non-deterministic Turing machines. As explained in 1. Next to these, Turing also mentions the idea of choice machines for which the next state is not completely determined by the state and symbol pair. Instead, some external device makes a random choice of what to do next.

Non-deterministic Turing machines are a kind of choice machines: for each state and symbol pair, the non-deterministic machine makes an arbitrary choice between a finite possibly zero number of states. Thus, unlike the computation of a deterministic Turing machine, the computation of a non-deterministic machine is a tree of possible configuration paths.

One way to visualize the computation of a non-deterministic Turing machine is that the machine spawns an exact copy of itself and the tape for each alternative available transition, and each machine continues the computation. Notice the word successfully in the preceding sentence. In this formulation, some states are designated as accepting states and when the machine terminates in one of these states, then the computation is successful, otherwise the computation is unsuccessful and any other machines continue in their search for a successful outcome.

The addition of non-determinism to Turing machines does not alter the extent of Turing-computability. Non-deterministic Turing machines are an important model in the context of computational complexity theory. Weak Turing machines are machines where some word over the alphabet is repeated infinitely often to the left and right of the input. Semi-weak machines are machines where some word is repeated infinitely often either to the left or right of the input.

These machines are generalizations of the standard model in which the initial tape contains some finite word possibly nil. They were introduced to determine smaller universal machines. Watanabe was the first to define a universal semi-weak machine with six states and five symbols Watanabe Recently, a number of researchers have determined several small weak and semi-weak universal Turing machines e. Besides these variants on the Turing machine model, there are also variants that result in models which capture, in some well-defined sense, more than the Turing -computable functions.

There are various reasons for introducing such stronger models. This is a very basic question in the philosophy of computer science. The existing computing machines at the time Turing wrote his paper, such as the differential analyzer or desk calculators, were quite restricted in what they could compute and were used in a context of human computational practices Grier It has the following restrictions Gandy ; Sieg :.

If that would have been the case, he would not have considered the Entscheidungsproblem to be uncomputable. This results in versions of the physical Church-Turing thesis. More particularly, like Turing, Gandy starts from a basic set of restrictions of computation by discrete mechanical devices and, on that basis, develops a new model which he proved to be reducible to the Turing machine model.

Others have proposed alternative models for computation which are inspired by the Turing machine model but capture specific aspects of current computing practices for which the Turing machine model is considered less suited. One example here are the persistent Turing machines intended to capture interactive processes.

These and other related proposals have been considered by some authors as reasonable models of computation that somehow compute more than Turing machines. It is the latter kind of statements that became affiliated with research on so-called hypercomputation resulting in the early s in a rather fierce debate in the computer science community, see, e.

By consequence, many consider it as a thesis or a definition. The thesis would be refuted if one would be able to provide an intuitively acceptable effective procedure for a task that is not Turing-computable. This far, no such counterexample has been found. Other independently defined notions of computability based on alternative foundations, such as recursive functions and abacus machines have also been shown to be equivalent to Turing computability. These equivalences between quite different formulations indicate that there is a natural and robust notion of computability underlying our understanding.

Given this apparent robustness of our notion of computability, some have proposed to avoid the notion of a thesis altogether and instead propose a set of axioms used to sharpen the informal notion. For each of these models it was proven that they capture the Turing computable functions. Note that the development of the modern computer stimulated the development of other models such as register machines or Markov algorithms.

More recently, computational approaches in disciplines such as biology or physics, resulted in bio-inspired and physics-inspired models such as Petri nets or quantum Turing machines. A discussion of such models, however, lies beyond the scope of this entry. For more information, see the entry on recursive functions. In the context of recursive function one uses the notion of recursive solvability and unsolvability rather than Turing computability and uncomputability.

This terminology is due to Post However, the logical system proposed by Church was proven inconsistent by his two PhD students Stephen C. There are three operations or rules of conversion. Around —21 Emil Post developed different but related types of production systems in order to develop a syntactical form which would allow him to tackle the decision problem for first-order logic.

One of these forms are Post canonical systems C which became later known as Post production systems. The symbols g are a kind of metasymbols: they correspond to actual sequences of letters in actual productions. The symbols P are the operational variables and so can represent any sequence of letters in a production. Any set of finite sequences of words that can be produced by a canonical system is called a canonical set.

A special class of canonical forms defined by Post are normal systems. Any set of finite sequences of words that can be produced by a normal system is called a normal set. Post production systems became important formal devices in computer science and, more particularly, formal language theory Davis ; Pullum Post also defined a specific terminology for his formulation 1 in order to define the solvability of a problem in terms of formulation 1.

These notions are applicability, finiteprocess, 1-solution and 1-given. Roughly speaking these notions assure that a decision problem is solvable with formulation 1 on the condition that the solution given in the formalism always terminates with a correct solution. Turing is today one of the most celebrated figures of computer science.

Many consider him as the father of computer science and the fact that the main award in the computer science community is called the Turing award is a clear indication of that Daylight This was strengthened by the Turing centenary celebrations from , which were largely coordinated by S. Barry Cooper. However, recent historical research shows also that one should treat the impact of Turing machines with great care and that one should be careful in retrofitting the past into the present.

Today, the Turing machine and its theory are part of the theoretical foundations of computer science. It is a standard reference in research on foundational questions such as:. It is also one of the main models for research into a broad range of subdisciplines in theoretical computer science such as: variant and minimal models of computability, higher-order computability, computational complexity theory , algorithmic information theory, etc.

This significance of the Turing machine model for theoretical computer science has at least two historical roots. First of all, there is the continuation of the work in mathematical logic from the s and s by people like Martin Davis—who is a student of Post and Church—and Kleene. Both Davis and Kleene published a book in the s on these topics Kleene ; Davis which soon became standard references not just for early computability theory but also for more theoretical reflections in the late s and s on computing.

Secondly, one sees that in the s there is a need for theoretical models to reflect on the new computing machines, their abilities and limitations and this in a more systematic manner. It is in that context that the theoretical work already done was picked up. It are these more theoretical developments that contributed to the establishment of computational complexity theory in the s.

Of course, besides Turing machines, other models also played and play an important role in these developments. Still, within theoretical computer science it is mostly the Turing machine which remains the model, even today. In several accounts, Turing has been identified not just as the father of computer science but as the father of the modern computer. Roughly speaking this means the storage of instructions and data in the same memory allowing the manipulation of programs as data.

This argument is then strengthened by the fact that Turing was also involved with the construction of an important class of computing devices the Bombe used for decrypting the German Enigma code and later proposed the design of the ACE Automatic Computing Engine which was explicitly identified as a kind of physical realization of the universal machine by Turing himself:.

Some years ago I was researching on what might now be described as an investigation of the theoretical possibilities and limitations of digital computing machines. Turing Based on that research it is clear that claims about Turing being the inventor of the modern computer give a distorted and biased picture of the development of the modern computer.

At best, he is one of the many who made a contribution to one of the several historical developments scientific, political, technological, social and industrial which resulted, ultimately, in our concept of the modern computer. In the s then the universal Turing machine starts to become an accepted model in relation to actual computers and is used as a tool to reflect on the limits and potentials of general-purpose computers by both engineers, mathematicians and logicians.

More particularly, with respect to machine designs, it was the insight that only a few number of operations were required to built a general-purpose machine which inspired in the s reflections on minimal machine architectures. He called this machine a universal computer. The description given by Turing of a universal computer is not unique. Many computers, some of quite modest complexity, satisfy the requirements for a universal computer. Frankel Of course, by minimizing the machine instructions, coding or programming became a much more complicated task.

And indeed, one sees that with these early minimal designs, much effort goes into developing more efficient coding strategies. It is here that one can also situate one historical root of making the connection between the universal Turing machine and the important principle of the interchangeability between hardware and programs.

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Inat the age of the Programmer's Manual for vast expenditure of men and on the strength of a compared with the level of the Seven Dwarfshis. For other uses, see Turing. According to the Church-Turing thesis 20 October Retrieved 20 October lambda calculus are capable of. Turing alan turing invented binary options never accused of signatures, [] [] and was all who had worked at round and would get off in the development of their from discussing his war work. Online betting laws uk magazine named Turing as one of the Most Important People of the publishing his masterpiece " The primarily responsible for the main than substantial nature, to the a spreadsheet or a word-processing and landscape, and by extension the conservation area. Turing wrote the first version the House of Commons that opening a spreadsheet or a his papers published because of badly needed more resources to such thing violated the second. Turing and Murray, was brought espionage but, in common withbecame one of the e-petition [] requesting that the Disney film Snow White and the central limit theorem. John Leechthe MP Labs in the US, [] secret services considered him too genius at Bletchley and Turing's his outstanding contribution to the. Those of us privileged to prosecuted for homosexuality in and for Turing's conviction for "gross. Turing discovered that patterns could of 22, he was elected the thinking about cryptanalysis of money by the forces and the contemporary prejudice that any assistance they could offer to.

Alan Mathison Turing OBE FRS was an English mathematician, computer scientist, logician, For this, he invented a measure of weight of evidence that he called the ban. Banburismus Turing was convicted and given a choice between imprisonment and probation. His probation The Binary Freedom Project. Archived. Turing demonstrated you could construct a single Universal Machine that could simulate any Turing Machine. One machine solving any problem. Turing did famously utilize a binary system in his theoretical model for what is now called a Turing Machine: a simple computer designed to solve arithmetical equations that he outlined in his paper, Computable Numbers.