Decidable approximations of sets of descendants and sets of normal forms

  • Thomas Genet
Conference paper
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1379)

Abstract

We present here decidable approximations of sets of descendants and sets of normal forms of Term Rewriting Systems, based on specific tree automata techniques. In the context of rewriting logic, a Term Rewriting System is a program, and a normal form is a result of the program. Thus, approximations of sets of descendants and sets of normal forms provide tools for analysing a few properties of programs: we show how to compute a superset of results, to prove the sufficient completeness property, or to find a criterion for proving termination under a specific strategy, the sequential reduction strategy. The main technical contribution of the paper is the construction of an approximation automaton which recognises a superset of the set of normal forms of terms in a set E, w.r.t. a Term Rewriting System R.

Keywords

Normal Form Ground Term Tree Automaton Tree Language Termination Proof 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Thomas Genet
    • 1
  1. 1.INRIA Lorraine & CRIN CNRSVillers-lès-Nancy CedexFrance

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