The basic constructive logic for absolute consistency

Abstract
In this paper, consistency is understood as absolute consistency (i.e. non-triviality). The basic constructive logic BKc6, 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 BKc6 up to contractionless 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/s10849-008-9077-2
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References found in this work BETA
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 Basic Constructive Logic for Negation-Consistency.Gemma Robles - 2008 - Journal of Logic, Language and Information 17 (2):161-181.

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