Well-Founded Recursive Relations

  • Authors:
  • Jean Goubault-Larrecq

  • Affiliations:
  • -

  • Venue:
  • CSL '01 Proceedings of the 15th International Workshop on Computer Science Logic
  • Year:
  • 2001

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Abstract

We give a short constructive proof of the fact that certain binary relations are well-founded, given a lifting ≫ à la Ferreira-Zantema and a well-founded relation ▹. This construction generalizes several variants of the recursive path ordering on terms and of the Knuth-Bendix ordering. It also applies to other domains, of graphs, of infinite terms, of word and tree automata notably. We then extend this construction further; the resulting family of well-founded relations generalizes Jouannaud and Rubio's higher-order recursive path orderings.