Finite Satisfiability of Modal Logic over Horn~Definable Classes of Frames
نویسندگان
چکیده
Modal logic plays an important role in various areas of computer science, including verification and knowledge representation. In many practical applications it is natural to consider some restrictions of classes of admissible frames. Traditionally classes of frames are defined by modal axioms. However, many important classes of frames, e.g. the class of transitive frames or the class of Euclidean frames, can be defined in a more natural way by first-order formulas. In a recent paper it was proved that the satisfiability problem for modal logic over the class of frames defined by a universally quantified, first-order Horn formula is decidable. In this paper we show that also the finite satisfiability problem for modal logic over such classes is decidable.
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