Termination of just/fair computations in term rewriting

  • Authors:
  • Salvador Lucas;José Meseguer

  • Affiliations:
  • DSIC, Universidad Politécnica de Valencia, Spain;CS Department, University of Illinois at Urbana-Champaign, USA

  • Venue:
  • Information and Computation
  • Year:
  • 2008

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Abstract

The main goal of this paper is to apply rewriting termination technology-enjoying a quite mature set of termination results and tools-to the problem of proving automatically the termination of concurrent systems under fairness assumptions. We adopt the thesis that a concurrent system can be naturally modeled as a rewrite system, and develop a theoretical approach to systematically transform, under reasonable assumptions, fair-termination problems into ordinary termination problems of associated relations, to which standard rewriting termination techniques and tools can be applied. Our theoretical results are combined into a practical proof method for proving fair-termination that can be automated and can be supported by current termination tools. We illustrate this proof method with some concrete examples and briefly comment on future extensions.