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Algebra i logika, 2009, Volume 48, Number 4, Pages 495–519 (Mi al410)  
Canonical formulas for a paraconsistent analog of the Scott logic

M. V. Stukachyova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, RUSSIA
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Abstract: We explore how the technique of canonical formulas can be applied in studying a paraconsistent analog $\mathbf{Ls}$ of the known intermediate Scott logic $\mathbf{SL}$. Canonical formulas are defined which axiomatize $\mathbf{Ls}$ relative to minimal logic and allow us to describe all countermodels of the logic in question.
Keywords: intermediate Scott logic, canonical formulas.
Received: 15.08.2008
Revised: 02.02.2009
English version:
Algebra and Logic, 2009, Volume 48, Issue 4, Pages 282–297
DOI: https://doi.org/10.1007/s10469-009-9059-8
Bibliographic databases:
UDC: 510.64
Language: Russian
Citation: M. V. Stukachyova, “Canonical formulas for a paraconsistent analog of the Scott logic”, Algebra Logika, 48:4 (2009), 495–519; Algebra and Logic, 48:4 (2009), 282–297
Citation in format AMSBIB
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