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.
Keywords Four-Valued Logic   Constructive Logic   Modal Logic   Modal Translations   Non-Monotonic Reasoning
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DOI 10.2307/2586798
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References found in this work BETA
Heinrich Wansing (1995). Semantics-Based Nonmonotonic Inference. Notre Dame Journal of Formal Logic 36 (1):44-54.
Juan Barba (1993). A Modal Reduction for Partial Logic. Journal of Philosophical Logic 22 (4):429 - 435.

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