Logical Characterizations of Bisimulations for Discrete Probabilistic Systems

@inproceedings{Parma2007LogicalCO,
  title={Logical Characterizations of Bisimulations for Discrete Probabilistic Systems},
  author={Augusto Parma and Roberto Segala},
  booktitle={FoSSaCS},
  year={2007}
}
We give logical characterizations of bisimulation relations for the probabilistic automata of Segala in terms of three Hennessy-Milner style logics. The three logics characterize strong, strong probabilistic and weak probabilistic bisimulation, and differ only in the kind of diamond operator used. Compared to the Larsen and Skou logic for reactive systems, these logics introduce a new operator that measures the probability of the set of states that satisfy a formula. Moreover, the satisfaction… 

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