Walther recursion

  • David McAllester
  • Kostas Arkoudas
Session 8B

DOI: 10.1007/3-540-61511-3_119

Part of the Lecture Notes in Computer Science book series (LNCS, volume 1104)
Cite this paper as:
McAllester D., Arkoudas K. (1996) Walther recursion. In: McRobbie M.A., Slaney J.K. (eds) Automated Deduction — Cade-13. CADE 1996. Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence), vol 1104. Springer, Berlin, Heidelberg

Abstract

Primitive recursion is a well known syntactic restriction on recursive definitions which guarantees termination. Unfortunately many natural definitions, such as the most common definition of Euclid's GCD algorithm, are not primitive recursive. Walther has recently given a proof system for verifying termination of a broader class of definitions. Although Walther's system is highly automatible, the class of acceptable definitions remains only semi-decidable. Here we simplify Walther's calculus and give a syntactic criterion on definitions which guarantees termination. This syntactic criteria generalizes primitive recursion and handles most of the examples given by Walther. We call the corresponding class of acceptable definitions “Walther recursive”.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • David McAllester
    • 1
  • Kostas Arkoudas
    • 2
  1. 1.ATT ResearchMurray Hill
  2. 2.MIT Artificial Intelligence LaboratoryCambridge

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