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Hereditarily structurally complete modal logics
Journal of Symbolic Logic 60 (1):266-288 (1995)
Abstract
We consider structural completeness in modal logics. The main result is the necessary and sufficient condition for modal logics over K4 to be hereditarily structurally complete: a modal logic λ is hereditarily structurally complete $\operatorname{iff} \lambda$ is not included in any logic from the list of twenty special tabular logics. Hence there are exactly twenty maximal structurally incomplete modal logics above K4 and they are all tabularLinks
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Citations of this work
Singly generated quasivarieties and residuated structures.Tommaso Moraschini, James G. Raftery & Johann J. Wannenburg - 2020 - Mathematical Logic Quarterly 66 (2):150-172.
Hereditarily structurally complete positive logics.Alex Citkin - 2020 - Review of Symbolic Logic 13 (3):483-502.
Modal Consequence Relations Extending $mathbf{S4.3}$: An Application of Projective Unification.Wojciech Dzik & Piotr Wojtylak - 2016 - Notre Dame Journal of Formal Logic 57 (4):523-549.
Linear temporal logic with until and next, logical consecutions.V. Rybakov - 2008 - Annals of Pure and Applied Logic 155 (1):32-45.
Hereditarily Structurally Complete Intermediate Logics: Citkin’s Theorem Via Duality.Nick Bezhanishvili & Tommaso Moraschini - 2023 - Studia Logica 111 (2):147-186.
References found in this work
Problems of substitution and admissibility in the modal system Grz and in intuitionistic propositional calculus.V. V. Rybakov - 1990 - Annals of Pure and Applied Logic 50 (1):71-106.
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