Decidability and Expressivity of Ockhamist Propositional Dynamic Logics

Joseph Boudou (1) , Emiliano Lorini (1, 2)

1 IRIT-LILaC - Logique, Interaction, Langue et Calcul
2 CNRS - Centre National de la Recherche Scientifique

Ockhamist Propositional Dynamic Logic (OPDL) is a logic unifying the family of dynamic logics and the family of branching-time temporal logics, two families of logic widely used in AI to model reactive systems and multi-agent systems (MAS). In this paper, we present two variants of this logic. These two logics share the same language and differ only in one semantic condition. The first logic embeds Bundled CTLé while the second embeds CTLé. We provide a 2EXPTIME decision procedure for the satisfiability problem of each variant. The decision procedure for the first variant of OPDL is based on the elimination of Hintikka sets while the decision procedure for the second variant relies on automata.

Mots clés: Decision procedure

Domaines: Intelligence artificielle [cs.AI]; Apprentissage [cs.LG]; Logique en informatique [cs.LO]; Informatique et langage [cs.CL]

Joseph Boudou, Emiliano Lorini. Decidability and Expressivity of Ockhamist Propositional Dynamic Logics. 15th European Conference on Logics in Artificial Intelligence (JELIA 2016), Nov 2016, Larnaca, Cyprus. pp. 144-158. ⟨hal-01757358⟩