Alan Turing

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Wiki info

In 1936, Turing published his paper "On Computable Numbers, with an Application to the Entscheidungsproblem". [46] It was published in the Proceedings of the London Mathematical Society journal in two parts, the first on 30 November and the second on 23 December. [47] In this paper, Turing reformulated Kurt Gödel's 1931 results on the limits of proof and computation, replacing Gödel's universal arithmetic-based formal language with the formal and simple hypothetical devices that became known as Turing machines. The Entscheidungsproblem (decision problem) was originally posed by German mathematician David Hilbert in 1928. 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.