A logic for true concurrency

  • Authors:

  • Paolo Baldan;Silvia Crafa

  • Affiliations:

  • Department of Pure and Applied Math, University of Padova;Department of Pure and Applied Math, University of Padova

  • Venue:
  • CONCUR'10 Proceedings of the 21st international conference on Concurrency theory
  • Year:
  • 2010

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Abstract

We propose a logic for true concurrency whose formulae predicate about events in computations and their causal dependencies. The induced logical equivalence is hereditary history preserving bisimilarity, and fragments of the logic can be identified which correspond to other true concurrent behavioural equivalences in the literature: step, pomset and history preserving bisimilarity. Standard Hennessy-Milner logic, thus (interleaving) bisimilarity, is also recovered as a fragment. We believe that this contributes to a rational presentation of the true concurrent spectrum and to a deeper understanding of the relations between the involved behavioural equivalences.