What does entscheidungsproblem mean?

Definitions for entscheidungsproblem
entschei·dungsprob·lem

This dictionary definitions page includes all the possible meanings, example usage and translations of the word entscheidungsproblem.

Wiktionary

  1. Entscheidungsproblemnoun

    A decision problem, of finding a way to decide whether a formula is true or provable within a given system.

  2. Etymology: German, from Entscheidung ‘decision’.

Wikipedia

  1. Entscheidungsproblem

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

Wikidata

  1. Entscheidungsproblem

    In mathematics and computer science, the Entscheidungsproblem is a challenge posed by David Hilbert in 1928. The Entscheidungsproblem asks for an algorithm that takes as input a statement of a first-order logic and answers "Yes" or "No" according to whether the statement is universally valid, i.e., valid in every structure satisfying the axioms. By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced from the axioms, so the Entscheidungsproblem can also be viewed as asking for an algorithm to decide whether a given statement is provable from the axioms using the rules of logic. In 1936, Alonzo Church and Alan Turing, respectively, published independent papers showing that a general solution to the Entscheidungsproblem is impossible. This result is now known as Church's Theorem or the Church–Turing Theorem.

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Numerology

  1. Chaldean Numerology

    The numerical value of entscheidungsproblem in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of entscheidungsproblem in Pythagorean Numerology is: 4


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"entscheidungsproblem." Definitions.net. STANDS4 LLC, 2024. Web. 1 Mar. 2024. <https://www.definitions.net/definition/entscheidungsproblem>.

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1 Comment
  • Sidney Orr
    Sidney Orr
    I'll go with Church-Turing!
    LikeReply5 years ago

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