Natural deduction system in paraconsistent setting: proof search for PCont

Bolotov, Alexander and Shangin, Vasilyi (2012) Natural deduction system in paraconsistent setting: proof search for PCont. Journal of Intelligent Systems, 21 (1). pp. 1-24. ISSN 0334-1860

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Official URL: http://dx.doi.org/10.1515/jisys-2011-0021

Abstract

This paper continues a systematic approach to build natural deduction calculi and corresponding proof procedures for non-classical logics. Our attention is now paid to the framework of paraconsistent logics. These logics are used, in particular, for reasoning about systems where paradoxes do not lead to the `deductive explosion', i.e., where formulae of the type `A follows from false', for any A, are not valid. We formulate the natural deduction system for the logic PCont, explain its main concepts, define a proof searching technique and illustrate it by examples. The presentation is accompanied by demonstrating the correctness of these developments.

Item Type: Article
Subjects: University of Westminster > Science and Technology > Electronics and Computer Science, School of (No longer in use)
Depositing User: Rachel Wheelhouse
Date Deposited: 27 Jul 2012 10:58
Last Modified: 27 Jul 2012 10:58
URI: http://westminsterresearch.wmin.ac.uk/id/eprint/10950

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