The basic constructive logic for negation-consistency

Abstract
In this paper, consistency is understood in the standard way, i.e. as the absence of a contradiction. The basic constructive logic BKc4, which is adequate to this sense of consistency in the ternary relational semantics without a set of designated points, is defined. Then, it is shown how to define a series of logics by extending BKc4 up to minimal intuitionistic logic. All logics defined in this paper are paraconsistent logics.
Keywords Constructive negation  Substructural logics  Ternary relational semantics  Paraconsistent logic
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DOI 10.1007/s10849-007-9056-z
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References found in this work BETA
Paraconsistent Logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
The Basic Constructive Logic for a Weak Sense of Consistency.Gemma Robles & José M. Méndez - 2007 - Journal of Logic, Language and Information 17 (1):89-107.
The Logic B and the Reductio Axioms.Gemma Robles & José M. Méndez - 2004 - Bulletin of the Section of Logic 33 (2):87-94.

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Citations of this work BETA
The Basic Constructive Logic for Absolute Consistency.José M. Méndez & Gemma Robles - 2009 - Journal of Logic, Language and Information 18 (2):199-216.

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