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  1. Model checking for hybrid logic.Martin Lange - 2009 - Journal of Logic, Language and Information 18 (4):465-491.
    We consider the model checking problem for Hybrid Logic. Known algorithms so far are global in the sense that they compute, inductively, in every step the set of all worlds of a Kripke structure that satisfy a subformula of the input. Hence, they always exploit the entire structure. Local model checking tries to avoid this by only traversing necessary parts of the input in order to establish or refute the satisfaction relation between a given world and a formula. We present (...)
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  • Complexity of modal logics with Presburger constraints.Stéphane Demri & Denis Lugiez - 2010 - Journal of Applied Logic 8 (3):233-252.
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  • An efficient approach to nominal equalities in hybrid logic tableaux.Serenella Cerrito & Marta Cialdea Mayer - 2010 - Journal of Applied Non-Classical Logics 20 (1-2):39-61.
    Basic hybrid logic extends modal logic with the possibility of naming worlds by means of a distinguished class of atoms (called nominals) and the so-called satisfaction operator, that allows one to state that a given formula holds at the world named a, for some nominal a. Hence, in particular, hybrid formulae include “equality” assertions, stating that two nominals are distinct names for the same world. The treatment of such nominal equalities in proof systems for hybrid logics may induce many redundancies. (...)
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