Probabilistic Bisimulation: Naturally on Distributions

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Publikace nespadá pod Ekonomicko-správní fakultu, ale pod Fakultu informatiky. Oficiální stránka publikace je na webu muni.cz.
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HERMANNS Holger KRČÁL Jan KŘETÍNSKÝ Jan

Rok publikování 2014
Druh Článek ve sborníku
Konference CONCUR 2014 - Concurrency Theory - 25th International Conference
Fakulta / Pracoviště MU

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Citace
Doi http://dx.doi.org/10.1007/978-3-662-44584-6_18
Obor Informatika
Klíčová slova stochastic systems; probability; bisimulation; non-determinism; process algebra; coalgebra
Popis 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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