Publication details

Probabilistic Bisimulation: Naturally on Distributions

Authors

HERMANNS Holger KRČÁL Jan KŘETÍNSKÝ Jan

Type Article in Proceedings
Conference CONCUR 2014 - Concurrency Theory - 25th International Conference
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1007/978-3-662-44584-6_18
Field Informatics
Keywords stochastic systems; probability; bisimulation; non-determinism; process algebra; coalgebra
Description In contrast to the usual understanding of probabilistic systems as stochastic processes, recently these systems have also been regarded as transformers of probabilities. In this paper, we give a natural definition of strong bisimulation for probabilistic systems corresponding to this view that treats probability distributions as first-class citizens. Our definition applies in the same way to discrete systems as well as to systems with uncountable state and action spaces. Several examples demonstrate that our definition re- fines the understanding of behavioural equivalences of probabilistic systems. In particular, it solves a longstanding open problem concerning the representation of memoryless continuous time by memoryfull continuous time. Finally, we give algorithms for computing this bisimulation not only for finite but also for classes of uncountably infinite systems.
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