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Entscheidungsproblem

In computer science, the impossible task of algorithmically determining whether a given statement is provable from the axioms

Nº Q11030584 ★

Common · Knowledge

Entscheidungsproblem

In computer science, the impossible task of algorithmically determining whether a given statement is provable from the axioms

In mathematics and computer science, the Entscheidungsproblem (German for 'decision problem'; pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed by David Hilbert and Wilhelm Ackermann in 1928. It asks for an algorithm that considers an input statement and answers "yes" or "no" according to whether it is universally valid, i.e., valid in every structure.

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From Wikipedia

In mathematics and computer science, the Entscheidungsproblem (German for 'decision problem'; pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed by David Hilbert and Wilhelm Ackermann in 1928. It asks for an algorithm that considers an input statement and answers "yes" or "no" according to whether it is universally valid, i.e., valid in every structure. Such an algorithm was proven to be impossible by Alonzo Church and Alan Turing in 1936.

Text: Wikipédia, CC BY-SA 4.0. ·

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