Title
Probabilistic Bisimulation: Naturally on Distributions.
Abstract
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 refines the understanding of behavioural equivalences of probabilistic systems. In particular, it solves a long-standing open problem concerning the representation of memoryless continuous time by memory-full continuous time. Finally, we give algorithms for computing this bisimulation not only for finite but also for classes of uncountably infinite systems.
Year
DOI
Venue
2014
10.1007/978-3-662-44584-6_18
CONCUR
DocType
Volume
Citations 
Journal
abs/1404.5084
10
PageRank 
References 
Authors
0.49
43
3
Name
Order
Citations
PageRank
Holger Hermanns13418229.22
Jan Krčál2797.45
Jan Kretínský315916.02