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inria-00168304, version 1

HORPO with Computability Closure : A Reconstruction

Frédéric Blanqui () a1, Jean-Pierre Jouannaud () b2, Albert Rubio () c3

14th International Conference on Logic for Programming Artificial Intelligence and Reasoning 4790 (2007)

Abstract: This paper provides a new, decidable definition of the higher- order recursive path ordering in which type comparisons are made only when needed, therefore eliminating the need for the computability clo- sure, and bound variables are handled explicitly, making it possible to handle recursors for arbitrary strictly positive inductive types.

  • a –  INRIA
  • b –  Polytechnique - X
  • c –  Universitat Politècnica de Catalunya
  • 1:  PROTHEO (INRIA Lorraine - LORIA)
  • INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
  • 2:  Laboratoire d'informatique de l'école polytechnique (LIX)
  • CNRS : UMR7161 – Polytechnique - X
  • 3:  Llenguatges i Sistemes Informàtics (LSI)
  • Universitat Politécnica de Catalunya
  • Domain : Computer Science/Logic in Computer Science
  • Keywords : lambda-calculus – termination – rewriting
 
  • inria-00168304, version 1
  • oai:hal.inria.fr:inria-00168304
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  • Submitted on: Monday, 27 August 2007 12:21:26
  • Updated on: Wednesday, 29 August 2007 09:38:25