Structures of Some Strong Reducibilities

  • Authors:
  • David R. Bélanger

  • Affiliations:
  • University of Waterloo, Waterloo, Canada N2L 3G1

  • Venue:
  • CiE '09 Proceedings of the 5th Conference on Computability in Europe: Mathematical Theory and Computational Practice
  • Year:
  • 2009

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Abstract

Recent developments in computability theory have given rise to new tools, among them the ibT and cl reducibilities, which, applications aside, are somewhat mysterious and deserve to be studied per se . This paper aims to throw some light on the little-explored degree structures induced by these new reducibilities.