Probabilistic Bisimulations for PCTL Model Checking of Interval MDPs (extended version). Hashemi, V., Hatefi, H., & Krcál, J. SynCoP , 145:19-33, 3, 2014. 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.
@article{
title = {Probabilistic Bisimulations for PCTL Model Checking of Interval MDPs (extended version)},
type = {article},
year = {2014},
identifiers = {[object Object]},
pages = {19-33},
volume = {145},
websites = {http://arxiv.org/pdf/1403.2864.pdf},
month = {3},
day = {31},
id = {e5742389-9253-30b8-bf76-8eac5b1d3967},
created = {2014-07-08T09:26:48.000Z},
file_attached = {false},
profile_id = {4f325e21-a764-32ab-9623-e568e98285be},
last_modified = {2017-03-25T21:52:16.230Z},
read = {false},
starred = {false},
authored = {true},
confirmed = {true},
hidden = {false},
source_type = {CONF},
notes = {Owner: hhatefi<br/><br/><br/>Added to JabRef: 2014.07.08},
private_publication = {false},
abstract = {Verification of PCTL properties of MDPs with convex uncertainties has been investigated recently by<p>Puggelli et al. However, model checking algorithms typically suffer from state space explosion. In<p>this paper, we address probabilistic bisimulation to reduce the size of such an MDPs while preserving<p>PCTL properties it satisfies. We discuss different interpretations of uncertainty in the models which<p>are studied in the literature and that result in two different definitions of bisimulations. We give<p>algorithms to compute the quotients of these bisimulations in time polynomial in the size of the<p>model and exponential in the uncertain branching. Finally, we show by a case study that large models<p>in practice can have small branching and that a substantial state space reduction can be achieved by<p>our approach.},
bibtype = {article},
author = {Hashemi, Vahid and Hatefi, Hassan and Krcál, Jan},
journal = {SynCoP }
}
Downloads: 1
{"_id":{"_str":"53bbbace823e1b37040000cd"},"__v":0,"authorIDs":["5457d87e2abc8e9f370007e5","54d6986996f9453b5f00073b"],"author_short":["Hashemi, V.","Hatefi, H.","Krcál, J."],"bibbaseid":"hashemi-hatefi-krcl-probabilisticbisimulationsforpctlmodelcheckingofintervalmdpsextendedversion-2014","bibdata":{"title":"Probabilistic Bisimulations for PCTL Model Checking of Interval MDPs (extended version)","type":"article","year":"2014","identifiers":"[object Object]","pages":"19-33","volume":"145","websites":"http://arxiv.org/pdf/1403.2864.pdf","month":"3","day":"31","id":"e5742389-9253-30b8-bf76-8eac5b1d3967","created":"2014-07-08T09:26:48.000Z","file_attached":false,"profile_id":"4f325e21-a764-32ab-9623-e568e98285be","last_modified":"2017-03-25T21:52:16.230Z","read":false,"starred":false,"authored":"true","confirmed":"true","hidden":false,"source_type":"CONF","notes":"Owner: hhatefi<br/><br/><br/>Added to JabRef: 2014.07.08","private_publication":false,"abstract":"Verification of PCTL properties of MDPs with convex uncertainties has been investigated recently by<p>Puggelli et al. However, model checking algorithms typically suffer from state space explosion. In<p>this paper, we address probabilistic bisimulation to reduce the size of such an MDPs while preserving<p>PCTL properties it satisfies. We discuss different interpretations of uncertainty in the models which<p>are studied in the literature and that result in two different definitions of bisimulations. We give<p>algorithms to compute the quotients of these bisimulations in time polynomial in the size of the<p>model and exponential in the uncertain branching. Finally, we show by a case study that large models<p>in practice can have small branching and that a substantial state space reduction can be achieved by<p>our approach.","bibtype":"article","author":"Hashemi, Vahid and Hatefi, Hassan and Krcál, Jan","journal":"SynCoP ","bibtex":"@article{\n title = {Probabilistic Bisimulations for PCTL Model Checking of Interval MDPs (extended version)},\n type = {article},\n year = {2014},\n identifiers = {[object Object]},\n pages = {19-33},\n volume = {145},\n websites = {http://arxiv.org/pdf/1403.2864.pdf},\n month = {3},\n day = {31},\n id = {e5742389-9253-30b8-bf76-8eac5b1d3967},\n created = {2014-07-08T09:26:48.000Z},\n file_attached = {false},\n profile_id = {4f325e21-a764-32ab-9623-e568e98285be},\n last_modified = {2017-03-25T21:52:16.230Z},\n read = {false},\n starred = {false},\n authored = {true},\n confirmed = {true},\n hidden = {false},\n source_type = {CONF},\n notes = {Owner: hhatefi<br/><br/><br/>Added to JabRef: 2014.07.08},\n private_publication = {false},\n abstract = {Verification of PCTL properties of MDPs with convex uncertainties has been investigated recently by<p>Puggelli et al. However, model checking algorithms typically suffer from state space explosion. In<p>this paper, we address probabilistic bisimulation to reduce the size of such an MDPs while preserving<p>PCTL properties it satisfies. We discuss different interpretations of uncertainty in the models which<p>are studied in the literature and that result in two different definitions of bisimulations. We give<p>algorithms to compute the quotients of these bisimulations in time polynomial in the size of the<p>model and exponential in the uncertain branching. Finally, we show by a case study that large models<p>in practice can have small branching and that a substantial state space reduction can be achieved by<p>our approach.},\n bibtype = {article},\n author = {Hashemi, Vahid and Hatefi, Hassan and Krcál, Jan},\n journal = {SynCoP }\n}","author_short":["Hashemi, V.","Hatefi, H.","Krcál, J."],"urls":{"Website":"http://arxiv.org/pdf/1403.2864.pdf"},"bibbaseid":"hashemi-hatefi-krcl-probabilisticbisimulationsforpctlmodelcheckingofintervalmdpsextendedversion-2014","role":"author","downloads":1},"bibtype":"article","biburl":null,"creationDate":"2014-07-08T09:33:02.254Z","downloads":1,"keywords":[],"search_terms":["probabilistic","bisimulations","pctl","model","checking","interval","mdps","extended","version","hashemi","hatefi","krcál"],"title":"Probabilistic Bisimulations for PCTL Model Checking of Interval MDPs (extended version)","year":2014}