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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
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
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
Linking options:
https://www.mathnet.ru/eng/al410 https://www.mathnet.ru/eng/al/v48/i4/p495
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Abstract page: | 283 | Full-text PDF : | 74 | References: | 49 | First page: | 5 |
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