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Turing reduction

In computability theory, a Turing reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle B} is an oracle machine that decides problem A {\displaystyle A} given an oracle for B {\displaystyle B} (Rogers 1967, Soare 1987) in finitely many steps. It can be understood as an algorithm that could be used to solve A…

Definition, Weaker reductions & Properties

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Properties

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Weaker reductions

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Map overview Semantic statistics

Turing reduction

Nodes48
Edges47
Triples35
Avg. degree1.96
Density0.041667
Components1

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Turing reduction

Top relations

related to Example · 9
Turing reduction → Because, Given, In, Leftrightarrow, Let, The, Then, Thus, Turing
related to External links · 9
Turing reduction → Algorithms, Andrew Pitts, Cambridge, Computation TheoryProf, Data Structures, Jean Gallier’s Homepage, NIST Dictionary, Tobias Kohn, Turing
related to Stronger reductions · 9
Turing reduction → Boolean, Equivalently, For, In, Set, Such, The, There, Turing
related to Weaker reductions · 7
Turing reduction → According, Church, Nevertheless, Peano, Set, The, Turing
is a · 1
Turing reduction → most general form of an effectively calculable reduction

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Important terminology

turing displaystyle reduction set machine oracle function given sets leq every reducibility used reductions computable concept algorithm reducible queries called

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Turing reductionis amost general form of an effectively calculable reduction0.90text
Turing reductionrelated to ExampleLet0.60section
Turing reductionrelated to ExampleTuring0.60section
Turing reductionrelated to ExampleThen0.60section
Turing reductionrelated to ExampleLeftrightarrow0.60section
Turing reductionrelated to ExampleGiven0.60section
Turing reductionrelated to ExampleIn0.60section
Turing reductionrelated to ExampleThus0.60section
Turing reductionrelated to ExampleBecause0.60section
Turing reductionrelated to ExampleThe0.60section
Turing reductionrelated to External linksNIST Dictionary0.60section
Turing reductionrelated to External linksAlgorithms0.60section

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