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Infinite time extensions of Kleene's \({\mathcal O}\)

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Publication:1031833
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DOI10.1007/S00153-009-0146-2zbMath1178.03048OpenAlexW2155844974MaRDI QIDQ1031833

Ansten Mørch Klev

Publication date: 23 October 2009

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-009-0146-2


zbMATH Keywords

halting problemordinal notation systemsinfinite-time Turing computabilityinfinite-time Turing machines


Mathematics Subject Classification ID

Recursive ordinals and ordinal notations (03F15) Turing machines and related notions (03D10) Inductive definability (03D70)


Related Items (1)

The computational strengths of \(\alpha\)-tape infinite time Turing machines




Cites Work

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  • Post's problem for supertasks has both positive and negative solutions
  • Zur Theorie der konstruktiven Wohlordnungen
  • Recursive well-orderings
  • On the Forms of the Predicates in the Theory of Constructive Ordinals (Second Paper)
  • The truth is never simple
  • The Length of Infinite Time Turing Machine Computations
  • Infinite time Turing machines
  • Eventually infinite time Turing machine degrees: infinite time decidable reals
  • On notation for ordinal numbers




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