What does turing jump mean?

Definitions for turing jump
tur·ing jump

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Wiktionary

  1. Turing jumpnoun

    In computability theory, an operation that assigns to each decision problem X a successively harder decision problem X with the property that X is not decidable by an oracle machine with an oracle for X.

Wikipedia

  1. Turing jump

    In computability theory, the Turing jump or Turing jump operator, named for Alan Turing, is an operation that assigns to each decision problem X a successively harder decision problem X′ with the property that X′ is not decidable by an oracle machine with an oracle for X. The operator is called a jump operator because it increases the Turing degree of the problem X. That is, the problem X′ is not Turing-reducible to X. Post's theorem establishes a relationship between the Turing jump operator and the arithmetical hierarchy of sets of natural numbers. Informally, given a problem, the Turing jump returns the set of Turing machines that halt when given access to an oracle that solves that problem.

Wikidata

  1. Turing jump

    In computability theory, the Turing jump or Turing jump operator, named for Alan Turing, is an operation that assigns to each decision problem X a successively harder decision problem X ′ with the property that X ′ is not decidable by an oracle machine with an oracle for X. The operator is called a jump operator because it increases the Turing degree of the problem X. That is, the problem X ′ is not Turing reducible to X. Post's theorem establishes a relationship between the Turing jump operator and the arithmetical hierarchy of sets of natural numbers. Informally, given a problem, the Turing jump returns the set of Turing machines which halt when given access to an oracle that solves that problem.

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Numerology

  1. Chaldean Numerology

    The numerical value of turing jump in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of turing jump in Pythagorean Numerology is: 5

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"turing jump." Definitions.net. STANDS4 LLC, 2024. Web. 26 Dec. 2024. <https://www.definitions.net/definition/turing+jump>.

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