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Timmer, M. and Stoelinga, M.I.A. and van de Pol, J.C. (2010) Confluence Reduction for Probabilistic Systems (extended version). Technical Report 1011.2314, ArXiv e-prints.
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Official URL: http://arxiv.org/abs/1011.2314v1
This paper presents a novel technique for state space reduction of probabilistic specifications, based on a newly developed notion of confluence for probabilistic automata. We prove that this reduction preserves branching probabilistic bisimulation and can be applied on-the-fly. To support the technique, we introduce a method for detecting confluent transitions in the context of a probabilistic process algebra with data, facilitated by an earlier defined linear format. A case study demonstrates that significant reductions can be obtained.
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