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Displaying the modal logic of consistency

Published online by Cambridge University Press:  12 March 2014

Heinrich Wansing
Heinrich Wansing*
Affiliation:
Dresden University of Technology, Institute of Philosophy, D-01062 Dresden, Germany, E-mail: Heinrich.Wansing@mailbox.tu-dresden.de
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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 logicconstructive logicmodal logicmodal translationsnonmonotonic reasoning
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 4 , December 1999 , pp. 1573 - 1590
Copyright
Copyright © Association for Symbolic Logic 1999

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