Axiomatizations with context rules of inference in modal logic

Studia Logica 61 (2):179-197 (1998)
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A certain type of inference rules in modal logics, generalizing Gabbay's Irreflexivity rule, is introduced and some general completeness results about modal logics axiomatized with such rules are proved.
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Dynamic Extensions of Arrow Logic.Balbiani, Philippe & Vakarelov, Dimiter

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