English

Distribution-based bisimulation for labelled Markov processes

Logic in Computer Science 2017-07-03 v1 Formal Languages and Automata Theory

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.

Keywords

Cite

@article{arxiv.1706.10049,
  title  = {Distribution-based bisimulation for labelled Markov processes},
  author = {Pengfei Yang and David N. Jansen and Lijun Zhang},
  journal= {arXiv preprint arXiv:1706.10049},
  year   = {2017}
}

Comments

Accepted by FORMATS 2017

R2 v1 2026-06-22T20:34:10.684Z