Termination of Priority Rewriting

  • Authors:
  • Isabelle Gnaedig

  • Affiliations:
  • INRIA & LORIA, Villers-lèèès-Nancy Cedex, France 54602

  • Venue:
  • LATA '09 Proceedings of the 3rd International Conference on Language and Automata Theory and Applications
  • Year:
  • 2009

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Abstract

Introducing priorities in rewriting increases the expressive power of rules and helps to limit computations. Priority rewriting is used in rule-based programming as well as in functional programming. Termination of priority rewriting is then important to guarantee that programs give a result. We describe an inductive proof method for termination of priority rewriting, relying on an explicit induction on the termination property and working by generating proof trees, which model the rewriting relation by using abstraction and narrowing.