Geodesic
Canonical formulas for a paraconsistent analog of the Scott logic
Algebra i logika, Tome 48 (2009) no. 4, pp. 495-519

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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. 
@article{AL_2009_48_4_a3,
     author = {M. V. Stukachyova},
     title = {Canonical formulas for a~paraconsistent analog of the {Scott} logic},
     journal = {Algebra i logika},
     pages = {495--519},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2009_48_4_a3/}
}
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M. V. Stukachyova. Canonical formulas for a paraconsistent analog of the Scott logic. Algebra i logika, Tome 48 (2009) no. 4, pp. 495-519. http://geodesic.mathdoc.fr/item/AL_2009_48_4_a3/