A proof-theoretic characterization of the basic feasible functionals

  • Authors:
  • Thomas Strahm

  • Affiliations:
  • Institut Für Informatik und angewandte Mathematik, Universität Bern, Neubrückstrasse, 10 CH-3012 Bern, Switzerland

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2004

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Abstract

We provide a natural characterization of the type two Mehlhorn-Cook-Urquhart basic feasible functionals as the provably total type two functionals of our (classical) applicative theory PT introduced in (Inform. Comput. 185 (2003) 263), thus providing a proof of a result claimed in the conclusion of Strahm (2003). This further characterization of the basic feasible functionals underpins their importance as a key candidate for the notion of type two feasibility.