On the System CB1 and a Lattice of the Paraconsistent Calculi

Janusz Ciuciura

DOI: http://dx.doi.org/10.12775/LLP.2019.035

Abstract


In this paper, we present a calculus of paraconsistent logic. We propose an axiomatisation and a semantics for the calculus, and prove several important meta-theorems. The calculus, denoted as CB1, is an extension of systems PI, C min and B1, and a proper subsystem of Sette’s calculus P1. We also investigate the generalization of CB1 to the hierarchy of related calculi.

Keywords


paraconsistent logic; paraconsistency; hierarchy of the paraconsistent calculi

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References


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ISSN: 1425-3305 (print version)

ISSN: 2300-9802 (electronic version)

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