Authors
Gemma Robles
Universidad de León
José M. Méndez
Universidad de Salamanca
Abstract
The logic DHb is the result of extending Sylvan and Plumwood’s minimal De Morgan logic BM with a dual intuitionistic negation of the type Sylvan defined for the extension CCω of da Costa’s paraconsistent logic Cω. We provide Routley–Meyer ternary relational semantics with a set of designated points for DHb and a wealth of its extensions included in G3DH, the expansion of G3+ with a dual intuitionistic negation of the kind considered by Sylvan (G3+ is the positive fragment of Gödelian 3-valued logic G3). All logics in the paper are paraconsistent.
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DOI 10.1007/s10849-020-09321-8
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References found in this work BETA

On the Theory of Inconsistent Formal Systems.Newton C. A. Costa - 1972 - Recife, Universidade Federal De Pernambuco, Instituto De Matemática.
On the Theory of Inconsistent Formal Systems.Newton C. A. da Costa - 1974 - Notre Dame Journal of Formal Logic 15 (4):497-510.
Partiality and its Dual.J. Michael Dunn - 2000 - Studia Logica 66 (1):5-40.

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