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Lecture Notes in Computer Science
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the purely modal part of the rule system. Our criterion applies also to a wide variety of logics outside the realm of normal modal logic. We give extensive example instantiations of our framework to various conditional logics. For these, we obtain fully internalised calculi which are substantially simpler than those knowndoi:10.1007/978-3-642-02716-1_21 fatcat:2hjph7e7d5f7dirskrhwoajhmi