Exploring probabilistic bisimulations, part I

@article{Hennessy2012ExploringPB,
  title={Exploring probabilistic bisimulations, part I},
  author={Matthew Hennessy},
  journal={Formal Aspects of Computing},
  year={2012},
  volume={24},
  pages={749-768}
}
We take a fresh look at strong probabilistic bisimulations for processes which exhibit both non-deterministic and probabilistic behaviour. We suggest that it is natural to interpret such processes as distributions over states in a probabilistic labelled transition system, a pLTS; this enables us to adapt the standard notion of contextual equivalence to this setting. We then prove that a novel form of bisimulation equivalence between distributions are both sound and complete with respect to this… CONTINUE READING
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