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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