Probabilistic Bisimulations for PCTL Model Checking of Interval MDPs (extended version). Hashemi, V., Hatefi, H., & Krcál, J. SynCoP , 145:19-33, 3, 2014.
Probabilistic Bisimulations for PCTL Model Checking of Interval MDPs (extended version) [pdf]Website  abstract   bibtex   1 download  
Verification of PCTL properties of MDPs with convex uncertainties has been investigated recently by

Puggelli et al. However, model checking algorithms typically suffer from state space explosion. In

this paper, we address probabilistic bisimulation to reduce the size of such an MDPs while preserving

PCTL properties it satisfies. We discuss different interpretations of uncertainty in the models which

are studied in the literature and that result in two different definitions of bisimulations. We give

algorithms to compute the quotients of these bisimulations in time polynomial in the size of the

model and exponential in the uncertain branching. Finally, we show by a case study that large models

in practice can have small branching and that a substantial state space reduction can be achieved by

our approach.


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