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Displaying the modal logic of consistency
Journal of Symbolic Logic 64 (4):1573-1590 (1999)
Abstract
It is shown that the constructive four-valued logic N4 can be faithfully embedded into the modal logic S4. This embedding is used to obtain complete, cut-free display sequent calculi for N4 and C4, the modal logic of consistency over N4. C4 is a natural monotonic base system for semantics-based non-monotonic reasoning.Author's Profile
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Citations of this work
Gentzen-Type Methods for Bilattice Negation.Norihiro Kamide - 2005 - Studia Logica 80 (2-3):265-289.
Non-Classical Negation in the Works of Helena Rasiowa and Their Impact on the Theory of Negation.Dimiter Vakarelov - 2006 - Studia Logica 84 (1):105-127.
An embedding-based completeness proof for Nelson's paraconsistent logic.Norihiro Kamide - 2010 - Bulletin of the Section of Logic 39 (3/4):205-214.
A relationship between Rauszer's HB logic and Nelson's logic'.Norihiro Kamide - 2004 - Bulletin of the Section of Logic 33 (4):237-249.
Natural deduction systems for Nelson's paraconsistent logic and its neighbors.Norihiro Kamide - 2005 - Journal of Applied Non-Classical Logics 15 (4):405-435.
References found in this work
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Displaying and deciding substructural logics 1: Logics with contraposition.Greg Restall - 1998 - Journal of Philosophical Logic 27 (2):179-216.
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