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Low upper bounds of ideals

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Publication:3630577
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DOI10.2178/jsl/1243948325zbMath1168.68021arXiv0708.3793OpenAlexW2137527449MaRDI QIDQ3630577

Theodore A. Slaman, Antonín Kučera

Publication date: 4 June 2009

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3793


zbMATH Keywords

Turing degreelow for randomK-trivial


Mathematics Subject Classification ID

Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) Complexity of computation (including implicit computational complexity) (03D15)


Related Items (5)

The computability, definability, and proof theory of Artinian rings ⋮ COMPUTINGK-TRIVIAL SETS BY INCOMPLETE RANDOM SETS ⋮ MAXIMAL TOWERS AND ULTRAFILTER BASES IN COMPUTABILITY THEORY ⋮ choice classes ⋮ Upper bounds on ideals in the computably enumerable Turing degrees



Cites Work

  • Classical recursion theory. Vol. II
  • Interpolation and embedding in the recursively enumerable degrees
  • Lowness properties and randomness
  • Randomness and Computability: Open Questions
  • Calibrating Randomness
  • Reducibility orderings: Theories, definability and automorphisms
  • Algorithmic Information Theory
  • Using random sets as oracles
  • Class groups of integral group rings




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