Liveness, Fairness and Impossible Futures

  • Rob van Glabbeek
  • Marc Voorhoeve
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4137)


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.


Safety Property Parallel Composition Visible Content Recursive Equation Label Transition System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Rob van Glabbeek
    • 1
    • 2
  • Marc Voorhoeve
    • 3
  1. 1.National ICT AustraliaSydney
  2. 2.School of Computer Science and EngineeringThe University of New South Wales 
  3. 3.Dept. of Mathematics and Computer ScienceEindhoven University of Technology 

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