Probabilistic transition system specification: congruence and full abstraction of bisimulation

  • Authors:
  • Pedro Rubén D'Argenio;Matias David Lee

  • Affiliations:
  • FaMAF, Universidad Nacional de Córdoba --- CONICET, Argentina;FaMAF, Universidad Nacional de Córdoba --- CONICET, Argentina

  • Venue:
  • FOSSACS'12 Proceedings of the 15th international conference on Foundations of Software Science and Computational Structures
  • Year:
  • 2012

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Abstract

We present a format for the specification of probabilistic transition systems that guarantees that bisimulation equivalence is a congruence for any operator defined in this format. In this sense, the format is somehow comparable to the ntyft/ntyxt format in a non-probabilistic setting. We also study the modular construction of probabilistic transition systems specifications and prove that some standard conservative extension theorems also hold in our setting. Finally, we show that the trace congruence for image-finite processes induced by our format is precisely bisimulation on probabilistic systems.