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Propositional temporal logics and equivalences

  • Ursula Goltz
  • Ruurd Kuiper
  • Wojciech Penczek
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 630)

Abstract

We compare propositional temporal logics by comparing the equivalences that they induce on models. Linear time, branching time and partial order temporal logics are considered. The logics are interpreted on occurrence transition systems, generated by labelled prime event structures without autoconcurrency. The induced equivalences are also compared to directly defined equivalences, e.g., history preserving bisimulation, pomset bisimulation, pomset trace equivalence, and others. It is then shown which of the induced equivalences are and which are not preserved under action refinement.

Rather unexpectedly, the addition of the backward next step operator to the weakest logic considered yields a logic stronger than all others. It is shown that weak history preserving bisimulation can be obtained as the equivalence induced by a slightly constrained version of that logic.

Keywords

Transition System Temporal Logic Event Structure Concurrent System Kripke Structure 
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 Berlin Heidelberg 1992

Authors and Affiliations

  • Ursula Goltz
    • 1
  • Ruurd Kuiper
    • 2
  • Wojciech Penczek
    • 3
  1. 1.GMDBonnGermany
  2. 2.Department of Computer ScienceEindhoven University of TechnologyThe Netherlands
  3. 3.Institute of Computer ScienceWarsawPoland

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