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Reduction (computability theory)

In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied. They are motivated by the question: given sets A {\displaystyle A} and B {\displaystyle B} of natural numbers, is it possible to effectively convert a method for deciding membership in B {\displaystyle B} into a method…

Reductions stronger than Turing reducibility, Reductions weaker than Turing reducibility & Reducibility relations

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Reductions stronger than Turing reducibility

Many-one reducibilityOne-to-one functionWeak truth-table reducibleUseEnumeration reducibility
13 related topics

Reductions weaker than Turing reducibility

Peano arithmeticSet theoryArithmetical reducibilityPost's theoremTuring jump
13 related topics

Reducibility relations

Binary relationReflexiveTransitivePreorderIf and only if
9 related topics

Turing reducibility

Oracle Turing machineIndicator functionChurch–Turing thesis
3 related topics

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Reducibility relations

Turing reducibility

Reductions stronger than Turing reducibility

Reductions weaker than Turing reducibility

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Reduction (computability theory)

Nodes48
Edges47
Triples0
Avg. degree1.96
Density0.041667
Components1

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displaystyle reducibility reducible turing set reducibilities sets theory notions relation function truth-table numbers many degrees strong relations weak natural bounded

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