The basic feasible functionals in computable analysis

  • Authors:
  • Branimir Lambov

  • Affiliations:
  • BRICS, University of Aarhus, IT Parken, 8200 Aarhus N, Denmark and FB Mathematik, AG 1, Technical University Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany

  • Venue:
  • Journal of Complexity
  • Year:
  • 2006

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Abstract

We give a correspondence between two notions of complexity for real functions: poly-time computability according to Ko and a notion that arises naturally when one considers the application of Mehlhorn's class of the basic feasible functionals to computable analysis. We show that both notions define the same set of polynomial-time computable real functions.