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Generic degrees are complemented

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Publication:685063
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DOI10.1016/0168-0072(93)90096-VzbMath0788.03061MaRDI QIDQ685063

Masahiro Kumabe

Publication date: 22 September 1993

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)


zbMATH Keywords

Turing degreedegrees of unsolvability\(n\)- generic setdegrees recursive in \(n\)-generic degreesstrong complementednessupper semilattice of degrees


Mathematics Subject Classification ID

Other degrees and reducibilities in computability and recursion theory (03D30)


Related Items (1)

The Information Content of Typical Reals



Cites Work

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  • Minimal degrees recursive in 1-generic degrees
  • On degrees of recursive unsolvability
  • Degrees which do not bound minimal degrees
  • Definability in the Turing degrees
  • The recursively enumerable degrees are dense
  • Complementation in the Turing degrees
  • The upper semilattice of degrees ≤ 0′ is complemented
  • The degrees below a 1-generic degree < 0′
  • ∑1-Density and Turing Degrees
  • Banach–Mazur games, comeager sets and degrees of unsolvability
  • Some applications of the notions of forcing and generic sets
  • A theorem on minimal degrees
  • Minimal Covers and Arithmetical Sets
  • Initial segments of the degrees of unsolvability Part II: minimal degrees


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