On Lexicographic Termination Ordering with Space Bound Certifications

  • Authors:
  • Guillaume Bonfante;Jean-Yves Marion;Jean-Yves Moyen

  • Affiliations:
  • -;-;-

  • Venue:
  • PSI '02 Revised Papers from the 4th International Andrei Ershov Memorial Conference on Perspectives of System Informatics: Akademgorodok, Novosibirsk, Russia
  • Year:
  • 2001

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Abstract

We propose a method to analyse the program space complexity, based on termination orderings. This method can be implemented to certify the runspace of programs. We demonstrate that the class of functions computed by first order functional programs over free algebras which terminate by Lexicographic Path Ordering and admit a polynomial quasi-interpretation, is exactly the class of functions computable in polynomial space.