Liveness, fairness and impossible futures

  • Authors:
  • Rob van Glabbeek;Marc Voorhoeve

  • Affiliations:
  • National ICT Australia, Sydney;Dept. of Mathematics and Computer Science, Eindhoven University of Technology

  • Venue:
  • CONCUR'06 Proceedings of the 17th international conference on Concurrency Theory
  • Year:
  • 2006

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Abstract

Impossible futures equivalence is the semantic equivalence on labelled transition systems that identifies systems iff they have the same “AGEF” properties: temporal logic properties saying that reaching a desired outcome is not doomed to fail. We show that this equivalence, with an added root condition, is the coarsest congruence containing weak bisimilarity with explicit divergence that respects deadlock/livelock traces (or fair testing, or any liveness property under a global fairness assumption) and assigns unique solutions to recursive equations.