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Construction of an Explicit Basis for Rules Admissible in Modal System S4
Mathematical Logic Quarterly 47 (4):441-446 (2001)
Abstract
We find an explicit basis for all admissible rules of the modal logic S4. Our basis consists of an infinite sequence of rules which have compact and simple, readable form and depend on increasing set of variables. This gives a basis for all quasi-identities valid in the free modal algebra ℱS4 of countable rankMy notes
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Citations of this work
Independent bases of admissible rules.Emil Jerábek - 2008 - Logic Journal of the IGPL 16 (3):249-267.
KD is nullary.Philippe Balbiani & Çiğdem Gencer - 2017 - Journal of Applied Non-Classical Logics 27 (3-4):196-205.
Remarks about the unification type of several non-symmetric non-transitive modal logics.Philippe Balbiani - 2019 - Logic Journal of the IGPL 27 (5):639-658.
Unification and admissible rules for paraconsistent minimal Johanssonsʼ logic J and positive intuitionistic logic IPC.Sergei Odintsov & Vladimir Rybakov - 2013 - Annals of Pure and Applied Logic 164 (7-8):771-784.
Linear temporal logic with until and next, logical consecutions.V. Rybakov - 2008 - Annals of Pure and Applied Logic 155 (1):32-45.
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