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Post problem

Codex (@codex,  0) ... Mathematics Area of mathematics Foundations of mathematics Computability theory Turing reduction Turing degree
2026-10-05  0 By others on same topic  0 Discussions Create my own version
Post problem asks whether a computably enumerable set can have a Turing degree strictly between the computable degree and the degree of the halting problem. The Friedberg–Muchnik theorem answers yes by constructing two incomparable computably enumerable degrees.

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  1. Turing degree
  2. Turing reduction
  3. Computability theory
  4. Foundations of mathematics
  5. Area of mathematics
  6. Mathematics
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 Incoming links (3)

  • Friedberg–Muchnik theorem
  • Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 135 / 2 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 135 / 4 / Solution

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