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. (1938) Doctoral students Influences Signature Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English, mathematician, philosopher, and. Turing was highly influential in the development of, providing a formalisation of the concepts of and with the, which can be considered a model of a.

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Turing is widely considered to be the father of theoretical computer science and. During the, Turing worked for the (GC&CS) at, Britain's centre that produced intelligence. For a time he led, the section which was responsible for German naval cryptanalysis. Here he devised a number of techniques for speeding the breaking of German, including improvements to the pre-war Polish method, an machine that could find settings for the.

Turing played a pivotal role in cracking intercepted coded messages that enabled the Allies to defeat the Nazis in many crucial engagements, including the, and in so doing helped win the war. Is difficult with respect to the effect Ultra intelligence had on the length of the war, but at the upper end it has been estimated that this work shortened the war in Europe by more than two years and saved over fourteen million lives. After the war, Turing worked at the, where he designed the, among the first designs for a stored-program computer. In 1948 Turing joined 's at the, where he helped develop the and became interested in. He wrote a paper on the chemical basis of, and predicted such as the, first observed in the 1960s.

Turing was prosecuted in 1952 for homosexual acts, when by the, 'gross indecency' was criminal in the UK. He accepted treatment, with, as an alternative to prison. Turing died in 1954, 16 days before his 42nd birthday, from. An inquest determined his death as suicide, but it has been noted that the known evidence is also consistent with accidental poisoning. In 2009, following an, British Prime Minister made an on behalf of the British government for 'the appalling way he was treated.' Granted him a posthumous pardon in 2013.

The is now an informal term for a 2017 law in the United Kingdom that retroactively pardoned men cautioned or convicted under historical legislation that outlawed homosexual acts. Where Turing was a student in 1931 and became a Fellow in 1935. The computer room is named after him. Although was published shortly after 's equivalent proof using his, Turing's approach is considerably more accessible and intuitive than Church's.

It also included a notion of a 'Universal Machine' (now known as a ), with the idea that such a machine could perform the tasks of any other computation machine (as indeed could Church's lambda calculus). According to the, Turing machines and the lambda calculus are capable of computing anything that is computable. Acknowledged that the central concept of the modern computer was due to Turing's paper.

To this day, Turing machines are a central object of study in. From September 1936 to July 1938, Turing spent most of his time studying under Church at, in the second year as a. In addition to his purely mathematical work, he studied cryptology and also built three of four stages of an electro-mechanical binary multiplier. In June 1938, he obtained his PhD from Princeton; his dissertation, introduced the concept of and the notion of, where Turing machines are augmented with so-called, allowing the study of problems that cannot be solved by Turing machines.

John von Neumann wanted to hire him as his, but he went back to England. Career and research When Turing returned to Cambridge, he attended lectures given in 1939 by about the. The lectures have been reconstructed verbatim, including interjections from Turing and other students, from students' notes. Turing and Wittgenstein argued and disagreed, with Turing defending and Wittgenstein propounding his view that mathematics does not discover any absolute truths, but rather invents them.

Cryptanalysis During the Second World War, Turing was a leading participant in the breaking of German ciphers. The historian and wartime codebreaker has said, 'You needed exceptional talent, you needed genius at Bletchley and Turing's was that genius.' From September 1938, Turing had been working part-time with the, the British codebreaking organisation.

He concentrated on with, a senior GC&CS codebreaker. Soon after the July 1939 meeting at which the had provided the British and French with the details of the wiring of and their method of decrypting messages, Turing and Knox started to work on a less fragile approach to the problem. The Polish method relied on an insecure procedure that the Germans were likely to change, which they did in May 1940. Turing's approach was more general, using for which he produced the functional specification of the (an improvement of the Polish ).

Two cottages in the stable yard. Turing worked here in 1939 and 1940, before moving to.

On 4 September 1939, the day after the UK declared war on Germany, Turing reported to Bletchley Park, the wartime station of GC&CS. Specifying the bombe was the first of five major cryptanalytical advances that Turing made during the war. The others were: deducing the indicator procedure used by the German navy; developing a statistical procedure for making much more efficient use of the bombes dubbed; developing a procedure for working out the cam settings of the wheels of the ( Tunny) dubbed and, towards the end of the war, the development of a portable scrambler at that was codenamed Delilah. By using statistical techniques to optimise the trial of different possibilities in the code breaking process, Turing made an innovative contribution to the subject. He wrote two papers discussing mathematical approaches, titled The Applications of Probability to Cryptography and Paper on Statistics of Repetitions, which were of such value to GC&CS and its successor that they were not released to the until April 2012, shortly before the centenary of his birth.

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: He said the fact that the contents had been restricted 'shows what a tremendous importance it has in the foundations of our subject'. 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 something of 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'., a cryptanalyst who worked with him, is quoted by as having said of Turing: 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.

While working at Bletchley, Turing, who was a talented long-distance runner, occasionally ran the 40 miles (64 km) to London when he was needed for high-level meetings, and he was capable of world-class marathon standards. Turing tried out for the 1948 British Olympic team, hampered by an injury.

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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. In 1946, Turing was appointed an (OBE) by King for his wartime services, but his work remained secret for many years. Bombe Within weeks of arriving at Bletchley Park, Turing had specified an electromechanical machine that could help break Enigma more effectively than the Polish, from which its name was derived.

The bombe, with an enhancement suggested by mathematician, became one of the primary tools, and the major automated one, used to attack Enigma-enciphered messages. Jack Good opined: Turing's most important contribution, I think, was of part of the design of the bombe, the cryptanalytic machine. He had the idea that you could use, in effect, a theorem in logic which sounds, to the untrained ear, rather absurd; namely that, from a contradiction, you can deduce everything. A complete and working replica of a at the National Codes Centre at Bletchley Park The bombe searched for possible correct settings used for an Enigma message (i.e., rotor order, rotor settings and plugboard settings), using a suitable: a fragment of probable. 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), the bombe performed a chain of logical deductions based on the crib, implemented. 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—this simply wasn't possible with the Enigma. The first bombe was installed on 18 March 1940. By late 1941, Turing and his fellow cryptanalysts Gordon Welchman, and were frustrated. Building on the, they had set up a good working system for decrypting Enigma signals, but they only had a few people and a few bombes, so they did not have time to translate all the signals. In the summer, they had had considerable success, and shipping losses had fallen to under 100,000 tons a month, but they were still on a knife-edge.

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 they were getting nowhere. Finally, breaking all the rules, on 28 October they wrote directly to spelling out 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. As, biographer of Turing, later wrote, 'This letter had an electric effect.' Churchill wrote a memo to, which read: 'ACTION THIS DAY. Make sure they have all they want on extreme priority and report to me that this has been done.'

On 18 November, the chief of the secret service reported that every possible measure was being taken. The cryptographers at Bletchley Park did not know of the Prime Minister's response, but as Milner-Barry later recalled, 'All that we did notice was that almost from that day the rough ways began miraculously to be made smooth.' More than two hundred bombes were in operation by the end of the war. Alan Turing's OBE currently held in archives Government apology and pardon In August 2009, started a petition urging the British Government to apologise for Turing's prosecution as a homosexual. The petition received more than 30,000 signatures. Prime Minister acknowledged the petition, releasing a statement on 10 September 2009 apologising and describing the treatment of Turing as 'appalling': 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., the MP for (2005–15), was the first MP to formally submit a bill to pardon Turing. Leech said it was 'ultimately just embarrassing' that the conviction still stood.

In December 2011, William Jones created an requesting the British Government Turing for his conviction of 'gross indecency': We ask the HM Government to grant a pardon to Alan Turing for the conviction of 'gross indecency'. In 1952, 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 41. 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 37,000 signatures, but the request was discouraged by, who gave the following opinion in his role as the Justice Minister: 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.

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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., the MP for (2005–15), submitted several bills to Parliament and campaigned with William Jones 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. Leech continued to take the bill through Parliament and campaigned for several years until it was passed. On 26 July 2012, a bill was introduced in the to grant a statutory pardon to Turing for offences under section 11 of the Criminal Law Amendment Act 1885, of which he was convicted on 31 March 1952. Late in the year in a letter to, the physicist and 10 other signatories including the, Sir, (who worked for Turing during the war) and (the bill's sponsor) called on Prime Minister to act on the pardon request. The Government indicated it would support the bill, and it passed its third reading in the Lords in October. Before the bill could be debated in the, the Government elected to proceed under the.

On 24 December 2013, signed a pardon for Turing's conviction for gross indecency, with immediate effect. Announcing the pardon, Justice Secretary said Turing deserved to be 'remembered and recognised for his fantastic contribution to the war effort' and not for his later criminal conviction. The Queen officially pronounced Turing pardoned in August 2014. The Queen's action is only the fourth royal pardon granted since the conclusion of the Second World War. This case is unusual in that pardons are normally granted only when the person is technically innocent, and a request has been made by the family or other interested party.

Neither condition was met in regard to Turing's conviction. In a letter to Prime Minister after announcement of the pardon, human rights advocate 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. Tatchell also called for a new investigation into Turing's death: 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 2016, 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 '. The is now an informal term for the law in the United Kingdom, contained in the, which serves as an to retroactively pardon men who were cautioned or convicted under historical legislation that outlawed homosexual acts.

The law applies in England and Wales. Awards, honours, recognition and tributes Turing was elected to the 1946. He was also elected a. Several things are named in his honour. A marking Turing's home at, Cheshire On 13 March 2000, issued a set of postage stamps to celebrate the greatest achievements of the 20th century, one of which carries a portrait of Turing against a background of repeated 0s and 1s, and is captioned: '1937: Alan Turing's theory of digital computing'. On 1 April 2003, Turing's work at was named an. On 28 October 2004, a bronze statue of Alan Turing sculpted by was unveiled at the in, marking the 50th anniversary of Turing's death; it portrays him carrying his books across the campus.

Turing was one of four mathematicians examined in the BBC documentary entitled Dangerous Knowledge (2008). The named Turing the second most significant alumnus in the history of, second only to President. A 1.5-ton, life-size statue of Turing was unveiled on 19 June 2007 at Bletchley Park. Built from approximately half a million pieces of Welsh, it was sculpted by, having been commissioned by the American billionaire. Turing has been honoured in various ways in, the city where he worked towards the end of his life.

In 1994, a stretch of the (the city intermediate ring road) was named 'Alan Turing Way'. A bridge carrying this road was widened, and carries the name Alan Turing Bridge.

A was unveiled in Manchester on 23 June 2001 in, between the University of Manchester building on Whitworth Street and. 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. The cast bronze bench carries in relief the text 'Alan Mathison Turing 1912–1954', and the motto 'Founder of Computer Science' as it could appear if encoded by an: 'IEKYF ROMSI ADXUO KVKZC GUBJ'.

Turing memorial statue plaque in Sackville Park, Manchester A plaque at the statue's feet reads 'Father of computer science, mathematician, logician, wartime codebreaker, victim of prejudice'. There is also a quotation: 'Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture.' The sculptor buried his own old computer under the as a tribute to 'the godfather of all modern computers'. In 1999, magazine named Turing as one of the 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 2002, Turing was ranked twenty-first on the BBC's poll of the following a UK-wide vote.

In 2006, British writer and mathematician chose Turing as one of twenty people to feature in his book about famous historical figures who may have had some of the traits of. In 2010, actor/playwright portrayed Turing in the solo musical, ICONS: The Lesbian and Gay History of the World, Vol. In 2011, in 's 'My hero' series, writer chose Turing as his hero and described how they had met while out jogging in the early 1950s. Garner remembered Turing as 'funny and witty' and said that he 'talked endlessly'. In 2006, Alan Turing was named with online resources as an LGBT History Month Icon. In 2006, Boston named Turing their Honorary Grand Marshal.

Alan Turing memorial statue in, Manchester The logo of is often erroneously referred to as a tribute to Alan Turing, with the bite mark a reference to his death. Both the designer of the logo and the company deny that there is any homage to Turing in the design. Has recounted asking whether the design was intentional, saying that Jobs' response was, 'God, we wish it were.'

In February 2011, Turing's papers from the Second World War were bought for the nation with an 11th-hour bid by the, allowing them to stay at Bletchley Park. In 2012, Turing was inducted into the, an outdoor public display that celebrates LGBT history and people. The singer-songwriter made a tribute to Turing with his song 'Alan et la Pomme'.

Turing's life and work featured in a BBC children's programme about famous scientists— —first broadcast on 12 March 2014. On 17 May 2014, the world's first work of public art to recognise Alan Turing as gay was commissioned in Bletchley, close by to Bletchley Park where his war-time work was carried out. The commission was announced to mark International Day Against Homophobia and Transphobia. The work was unveiled at a ceremony on Turing's birthday, 23 June 2014, and is placed alongside busy Watling Street, the old main road to London, where Turing himself would have passed by on many occasions. On 22 October 2014, Turing was inducted into the.

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Centenary celebrations. On stage for an Alan Turing Year conference at, Manila, 27 March 2012 To mark the 100th anniversary of Turing's birth, the Turing Centenary Advisory Committee (TCAC) co-ordinated the, a year-long programme of events around the world honouring Turing's life and achievements. The TCAC, chaired by with Alan Turing's nephew Sir John Dermot Turing acting as Honorary President, worked with the University of Manchester faculty members and a broad spectrum of people from Cambridge University and. On 23 June 2012, Google featured an interactive where visitors had to change the instructions of a Turing Machine, so when run, the symbols on the tape would match a provided sequence, featuring 'Google' in. The Bletchley Park Trust collaborated with to publish an Alan Turing edition of the board game.

The game's squares and cards have been revised to tell the story of Alan Turing's life, from his birthplace in Maida Vale to Hut 8 at Bletchley Park. The game also includes a replica of an original hand-drawn board created by, son of Turing's mentor, which Turing played on in the 1950s. In the, the at -Manila hosted Turing 2012, an international conference on philosophy, artificial intelligence, and cognitive science from 27 to 28 March 2012 to commemorate the centenary birth of Turing., India held celebrations with a programme attended by 6,000 students.

The flame was passed on in front of Turing's statue in Manchester on his 100th birthday. There was a three-day conference in Manchester in June, the, a two-day conference in San Francisco, organised by the ACM, and a birthday party and Turing Centenary Conference in Cambridge organised at, and the University of Cambridge, the latter organised by the association. The launched a free exhibition devoted to Turing's life and achievements in June 2012, to run until July 2013. In February 2012, the issued a stamp featuring Turing as part of its 'Britons of Distinction' series. The flame was passed on in front of Turing's statue in, Manchester, on the evening of 23 June 2012, the 100th anniversary of his birth. On 22 June 2012, in partnership with the, launched the Alan Turing Memorial Award, which will recognise individuals or groups who have made a significant contribution to the fight against homophobia in Manchester.

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At the, a new course in and Philosophy was established to coincide with the centenary of Turing's birth. Previous events have included a celebration of Turing's life and achievements, at the University of Manchester, arranged by the British Logic Colloquium and the on 5 June 2004.

Portrayal in theatre. Portrayed Turing in the 2014 film. is a 1986 play by about Alan Turing. The play ran in beginning in November 1986 and on Broadway from 15 November 1987 to 10 April 1988. There was also a 1996 television production (broadcast in the United States by ).

In all three performances Turing was played. The Broadway production was nominated for three including Best Actor in a Play, Best Featured Actor in a Play, and Best Direction of a Play, and for two, for Best Actor and Best Featured Actor. Turing was again portrayed by Jacobi in the 1996 television film adaptation of Breaking the Code. In 2012, in honour of the Turing Centennial, commissioned an operatic exploration of the life and death of Alan Turing from composer Justine F. Chen and librettist David Simpatico. Titled The Life and Death(s) of Alan Turing, the opera is a historical fantasia on the life of Turing.

In November 2014, the opera and several other artistic works inspired by Turing's life were featured on. The opera received its first public performance in January 2017. Portrayal in literature. This section may contain, or examples. Please by adding more descriptive text and removing. See Wikipedia's for further suggestions. In 's the Turing police have jurisdiction over AIs.

(1984). Turing is featured in the novel (1999). The 2006 novel contrasts fictionalised accounts of the lives and ideas of Turing and. The 2015 novel, written by, includes a series of fictional letters written from Turing to his best friend's mother throughout his life, detailing his research about artificial intelligence. In the graphic novel series, in which a fictionalised version of WWII plays out involving soldiers called 'Tank-Men', Turing is one of the researchers as well as a Tank-Man himself. Portrayal in music. This section may contain, or examples.

Please by adding more descriptive text and removing. See Wikipedia's for further suggestions. The historical drama film, directed by and starring as Turing and as, was released in the UK on 14 November 2014 and released theatrically in the US on 28 November 2014. It is about Alan Turing breaking the code with other codebreakers in., original UK title Britain's Greatest Codebreaker, is a TV film aired on 21 November 2011 by about Turing's life. It had a limited release in the US beginning on 17 October 2012.

The story is told as a discussion between Alan Turing and his psychiatrist Dr. Franz Greenbaum.

The story is based on journals maintained by Greenbaum and others who have studied Turing's life as well as some of his colleagues.