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- Entscheidungsproblem abstract "In mathematics and computer science, the Entscheidungsproblem (pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm], German for 'decision problem') is a challenge posed by David Hilbert in 1928.[citation needed] The Entscheidungsproblem asks for an algorithm that takes as input a statement of a first-order logic (possibly with a finite number of axioms beyond the usual axioms of 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 published independent papers showing that a general solution to the Entscheidungsproblem is impossible, assuming that the intuitive notation of "effectively calculable" is captured by the functions computable by a Turing machine (or equivalently, by those expressible in the lambda calculus). This assumption is now known as the Church–Turing thesis.".
- Entscheidungsproblem wikiPageExternalLink 230.
- Entscheidungsproblem wikiPageExternalLink tp2-ie.asp.
- Entscheidungsproblem wikiPageExternalLink 12.
- Entscheidungsproblem wikiPageID "9672".
- Entscheidungsproblem wikiPageRevisionID "606135801".
- Entscheidungsproblem hasPhotoCollection Entscheidungsproblem.
- Entscheidungsproblem subject Category:Computability_theory.
- Entscheidungsproblem subject Category:Gottfried_Leibniz.
- Entscheidungsproblem subject Category:Mathematical_logic.
- Entscheidungsproblem subject Category:Metatheorems.
- Entscheidungsproblem subject Category:Theory_of_computation.
- Entscheidungsproblem comment "In mathematics and computer science, the Entscheidungsproblem (pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm], German for 'decision problem') is a challenge posed by David Hilbert in 1928.[citation needed] The Entscheidungsproblem asks for an algorithm that takes as input a statement of a first-order logic (possibly with a finite number of axioms beyond the usual axioms of 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. ".
- Entscheidungsproblem label "Entscheidungsproblem".
- Entscheidungsproblem label "Entscheidungsproblem".
- Entscheidungsproblem label "Entscheidungsproblem".
- Entscheidungsproblem label "Entscheidungsproblem".
- Entscheidungsproblem label "Problème de la décision".
- Entscheidungsproblem label "Проблема разрешения".
- Entscheidungsproblem label "مسألة القرار (رياضيات)".
- Entscheidungsproblem label "可判定性".
- Entscheidungsproblem sameAs Entscheidungsproblem.
- Entscheidungsproblem sameAs Entscheidungsproblem.
- Entscheidungsproblem sameAs Problème_de_la_décision.
- Entscheidungsproblem sameAs Entscheidungsproblem.
- Entscheidungsproblem sameAs Entscheidungsproblem.
- Entscheidungsproblem sameAs m.02mvp.
- Entscheidungsproblem sameAs Q11030584.
- Entscheidungsproblem sameAs Q11030584.
- Entscheidungsproblem wasDerivedFrom Entscheidungsproblem?oldid=606135801.
- Entscheidungsproblem isPrimaryTopicOf Entscheidungsproblem.