Modular Markovian Logic.

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...

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Bibliographic Details
Main Authors: Cardelli, L, Larsen, K, Mardare, R
Other Authors: Aceto, L
Format: Book section
Published: Springer 2011
Description
Summary: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. © 2011 Springer-Verlag.