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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Weighted versus Probabilistic Logics
verfasst von : Benedikt Bollig, Paul Gastin
Erschienen in: Developments in Language Theory
Verlag: Springer Berlin Heidelberg
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While a mature theory around logics such as MSO, LTL, and CTL has been developed in the pure boolean setting of finite automata, weighted automata lack such a natural connection with (temporal) logic and related verification algorithms. In this paper, we will identify weighted versions of MSO and CTL that generalize the classical logics and even other quantitative extensions such as probabilistic CTL. We establish expressiveness results on our logics giving translations from weighted and probabilistic CTL into weighted MSO.