Four-Valued Logics BD and DM4: Expansions

Bulletin of the Section of Logic 46 (1/2) (2017)
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Abstract

The paper discusses functional properties of some four-valued logics which are the expansions of four-valued Belnap’s logic DM4. At first, we consider the logics with two designated values, and then logics defined by matrices having the same underlying algebra, but with a different choice of designated values, i.e. with one designated value. In the preceding literature both approaches were developed independently. Moreover, we present the lattices of the functional expansions of DM4.

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Double Negation as Minimal Negation.Satoru Niki - 2023 - Journal of Logic, Language and Information 32 (5):861-886.

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References found in this work

Nothing but the Truth.Andreas Pietz & Umberto Rivieccio - 2013 - Journal of Philosophical Logic 42 (1):125-135.
Algebraic semantics for modal logics I.E. J. Lemmon - 1966 - Journal of Symbolic Logic 31 (1):46-65.
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein, Modern Uses of Multiple-Valued Logic. D. Reidel.
Bilattices and the theory of truth.Melvin Fitting - 1989 - Journal of Philosophical Logic 18 (3):225 - 256.

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