The contribution of A.V. Kuznetsov to the theory of modal systems and structures
DOI:
https://doi.org/10.12775/LLP.2008.004Keywords
intuitionistic propositional logic and its extensions, modal logic S4 and its extensions, algebraic semantics for modal logics (S4-, Grz-, GL-, KM-algebras), lattice of the extensions of a logicAbstract
We will outline the contributions of A.V. Kuznetsov to modal logic. In his research he focused mainly on semantic, i.e. algebraic, issues and lattices of extensions of particular modal logics, though his proof of the Full Conservativeness Theorem for the proof-intuitionistic logic KM (Theorem 17 below) is a gem of proof-theoretic art.References
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