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A Translation Method for Belnap Logic

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Research Report, Doc 98/7. Imperial College London, (September 1998)

Abstract

In this report we present a translation of Belnap’s four-valued logic1 into classical first-order logic. Soundness and completeness of the translation approach with respect to Belnap’s notion of entailment are proved. Examples derivations are also given. These results provide the basis for developing a belief revision approach for Belnap’s logic in terms of standard AGM 3 belief revision operators for classical logic.

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