Probabilistic Automata over Infinite Words: Expressiveness, Efficiency, and Decidability

@inproceedings{Baier2009ProbabilisticAO,
  title={Probabilistic Automata over Infinite Words: Expressiveness, Efficiency, and Decidability},
  author={Christel Baier and Nathalie Bertrand and Marcus Gr{\"o}{\ss}er},
  booktitle={DCFS},
  year={2009}
}
Probabilistic omega-automata are variants of nondeterministic automata for infinite words where all choices are resolved by probabilistic distributions. Acceptance of an infinite input word can be defined in different ways: by requiring that (i) the probability for the accepting runs is positive (probable semantics), or (ii) almost all runs are accepting (almost-sure semantics), or (iii) the probability measure of the accepting runs is greater than a certain threshold (threshold semantics). The… 

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