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Multiple genericity: a new transfinite hierarchy of genericity notions

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Publication:2089803
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DOI10.1007/s11856-022-2331-5OpenAlexW4290975463MaRDI QIDQ2089803

Keng Meng Ng, Michael McInerney

Publication date: 24 October 2022

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-022-2331-5


Mathematics Subject Classification ID

Theory of computing (68Qxx) Computer science (68-XX) Computability and recursion theory (03Dxx)


Related Items

Separating weak \(\alpha\)-change and \(\alpha\)-change genericity



Cites Work

  • Minimal degrees recursive in 1-generic degrees
  • Dynamic notions of genericity and array noncomputability
  • Defining the Turing jump
  • Pseudo-jump inversion, upper cone avoidance, and strong jump-traceability
  • Lowness properties and randomness
  • On Genericity and Ershov's Hierarchy
  • The typical Turing degree
  • Bounded Randomness
  • Algorithmic Randomness and Complexity
  • Notions of weak genericity
  • A 1-generic degree which bounds a minimal degree
  • The degrees below a 1-generic degree < 0′
  • Double jumps of minimal degrees
  • The Information Content of Typical Reals
  • A WEAKLY 2-GENERIC WHICH BOUNDS A MINIMAL DEGREE
  • A Hierarchy of Turing Degrees
  • Computability and Randomness
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