Authors
Gemma Robles
Universidad de León
José M. Méndez
Universidad de Salamanca
Abstract
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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Reprint years 2007, 2008
DOI 10.1007/s10849-007-9042-5
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References found in this work BETA

Paraconsistent Logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.

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Citations of this work BETA

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

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