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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 138–155 (Mi smj12)  
This article is cited in 5 scientific papers (total in 5 papers)

On extensions of Nelson's logic satisfying Dummett's axiom

S. P. Odintsov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (292 kB) Citations (5)
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Abstract: The class of extensions is completely described of the logic obtained by adding Dummett's axiom to the paraconsistent Nelson logic. Moreover, we prove that every extension of this logic is finitely axiomatizable and decidable and, given a formula, it is possible to determine which extension is axiomatized by this formula.
Keywords: Nelson's logic, Dummett's axiom, paraconsistency, constructive negation.
Received: 30.11.2005
Revised: 12.05.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 112–125
DOI: https://doi.org/10.1007/s11202-007-0012-6
Bibliographic databases:
UDC: 510.64
Language: Russian
Citation: S. P. Odintsov, “On extensions of Nelson's logic satisfying Dummett's axiom”, Sibirsk. Mat. Zh., 48:1 (2007), 138–155; Siberian Math. J., 48:1 (2007), 112–125
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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