Proving liveness with fairness using rewriting

  • Authors:
  • Adam Koprowski;Hans Zantema

  • Affiliations:
  • Department of Computer Science, Technical University of Eindhoven, Eindhoven, The Netherlands;Department of Computer Science, Technical University of Eindhoven, Eindhoven, The Netherlands

  • Venue:
  • FroCoS'05 Proceedings of the 5th international conference on Frontiers of Combining Systems
  • Year:
  • 2005

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Abstract

In this paper we combine rewriting techniques with verification issues. More precisely, we show how techniques for proving relative termination of term rewrite systems (TRSs) can be applied to prove liveness properties in fair computations. We do this using a new transformation which is stronger than the sound transformation from [5] but still is suitable for automation. On the one hand we show completeness of this approach under some mild conditions. On the other hand we show how this approach applies to some examples completely automatically, using the TPA tool designed for proving relative termination of TRSs. In particular we succeed in proving liveness in the classical readers-writers synchronization problem.