Modular Markovian Logic

  • Luca Cardelli
  • Kim G. Larsen
  • Radu Mardare
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6756)

Abstract

We introduce Modular Markovian Logic (MML) for compositional continuous-time and continuous-space Markov processes. MML combines operators specific to stochastic logics with operators reflecting the modular structure of the models, similar to those used by spatial and separation logics. We present a complete Hilbert-style axiomatization for MML, prove the small model property and analyze the relation between stochastic bisimulation and logical equivalence.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Luca Cardelli
    • 1
  • Kim G. Larsen
    • 2
  • Radu Mardare
    • 2
  1. 1.Microsoft ResearchCambridgeUK
  2. 2.Aalborg UniversityDenmark

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