Distribution-based bisimulation for labelled Markov processes

Pengfei Yang; David N. Jansen; Lijun Zhang

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arXiv · 1706.10049

Distribution-based bisimulation for labelled Markov processes

Pengfei Yang·David N. Jansen·Lijun Zhang

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Abstract

In this paper we propose a (sub)distribution-based bisimulation for labelled Markov processes and compare it with earlier definitions of state and event bisimulation, which both only compare states. In contrast to those state-based bisimulations, our distribution bisimulation is weaker, but corresponds more closely to linear properties. We construct a logic and a metric to describe our distribution bisimulation and discuss linearity, continuity and compositional properties.

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Pengfei Yang, David N. Jansen, Lijun Zhang. 2017-06-30. Distribution-based bisimulation for labelled Markov processes. https://arxiv.org/abs/1706.10049

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