Naumov, Pavel (2006) On modal logic of deductive closure. Annals of Pure and Applied Logic, 141 (1-2), 218-224. (doi:10.1016/j.apal.2005.11.002).
Abstract
A new modal logic D is introduced. It describes properties of provability by interpreting modality as a deductive closure operator on sets of formulas. Logic D is proven to be decidable and complete with respect to this semantics.
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