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@inproceedings{1187166,
author = {Hermanns, Holger and Krčál, Jan and Křetínský, Jan},
address = {Heidelberg Dordrecht London New York},
booktitle = {CONCUR 2014 - Concurrency Theory - 25th International Conference},
doi = {http://dx.doi.org/10.1007/978-3-662-44584-6_18},
keywords = {stochastic systems; probability; bisimulation; non-determinism; process algebra; coalgebra},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Heidelberg Dordrecht London New York},
isbn = {978-3-662-44583-9},
pages = {249-265},
publisher = {Springer},
title = {Probabilistic Bisimulation: Naturally on Distributions},
year = {2014}
}
TY - JOUR
ID - 1187166
AU - Hermanns, Holger - Krčál, Jan - Křetínský, Jan
PY - 2014
TI - Probabilistic Bisimulation: Naturally on Distributions
PB - Springer
CY - Heidelberg Dordrecht London New York
SN - 9783662445839
KW - stochastic systems
KW - probability
KW - bisimulation
KW - non-determinism
KW - process algebra
KW - coalgebra
N2 - 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.
ER -
HERMANNS, Holger, Jan KRČÁL and Jan KŘETÍNSKÝ. Probabilistic Bisimulation: Naturally on Distributions. In \textit{CONCUR 2014 - Concurrency Theory - 25th International Conference}. Heidelberg Dordrecht London New York: Springer, 2014, p.~249-265. ISBN~978-3-662-44583-9. Available from: https://dx.doi.org/10.1007/978-3-662-44584-6\_{}18.
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