Weighted versus Probabilistic Logics

Paul Gastin (1) , Benedikt Bollig (2)

1 MEXICO - Modeling and Exploitation of Interaction and Concurrency
2 LSV - Laboratoire Spécification et Vérification [Cachan]

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.

Domaines: Autre [cs.OH]

Paul Gastin, Benedikt Bollig. Weighted versus Probabilistic Logics. Proceedings of the 13th International Conference on Developments in Language Theory (DLT'09), 2009, Stuttgart, Germany, Germany. pp.18-38, ⟨10.1007/978-3-642-02737-6_2⟩. ⟨hal-00772679⟩