On a question of Frank Stephan

  • Authors:
  • Klaus Ambos-Spies;Serikzhan Badaev;Sergey Goncharov

  • Affiliations:
  • University of Heidelberg, Heidelberg, Germany;Kazakh National University, Almaty, Kazakhstan;Sobolev's Math. Institute, Novosibirsk, Russia

  • Venue:
  • TAMC'08 Proceedings of the 5th international conference on Theory and applications of models of computation
  • Year:
  • 2008

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Abstract

For many TxtEX-learnable computable families of recursively enumerable sets, all their computable numberings are equivalent with respect to the reduction via the functions recursive in the halting problem. We show that this holds for every TxtEX-learnable computable family of recursively enumerable sets, but, in general, the converse is not true.