Math 2.0

Mathematical logic and foundations Computability theory Concept

Turing degree

Summary

The Turing degree of a set of natural numbers is the class of all sets that are Turing equivalent to it. Two sets have the same degree when each is computable from the other, so the degree measures how uncomputable a set is. The degrees are partially ordered by Turing reducibility, and the study of this order is a central part of computability theory.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Turing_degree
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Changed2 November 2026

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