Simulation of simultaneous safe recursion over an arbitrary structure

  • Authors:
  • Olga Xirotiri

  • Affiliations:
  • Technological Educational Institute of Crete, Sector of Mathematics, Stavromenos, Heraklion, Crete, Greece

  • Venue:
  • Information Processing Letters
  • Year:
  • 2006

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Abstract

In [O. Bournez, F. Cucker, P.J. de Naurois, J.Y. Marion, Computability over an arbitrary structure. Sequential and parallel polynomial time, in: Lecture Notes in Computer Science, vol. 2620, Springer, Berlin, 2003, pp. 185-199] the class of safe recursive functions over an arbitrary structure is defined. A question of simulation of the simultaneous safe recursion by single safe recursion was set. We prove that this simulation is feasible using bounded coding and decoding functions.