The basic constructive logic for a weak sense of consistency

In this paper, consistency is understood as the absence of the negation of a theorem, and not, in general, as the absence of any contradiction. We define the basic constructive logic BKc1 adequate to this sense of consistency in the ternary relational semantics without a set of designated points. Then we show how to define a series of logics extending BKc1 within the spectrum delimited by contractionless minimal intuitionistic logic. All logics defined in the paper are paraconsistent logics.
Keywords Constructive negation  Substructural logics  Ternary relational semantics  Paraconsistent Logic
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DOI 10.1007/s10849-007-9042-5
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References found in this work BETA
Graham Priest, Paraconsistent Logic. Stanford Encyclopedia of Philosophy.

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Citations of this work BETA
Gemma Robles (2008). The Basic Constructive Logic for Negation-Consistency. Journal of Logic, Language and Information 17 (2):161-181.

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