Geodesic
A method of proving interpolation in paraconsistent extensions of the minimal logic
Algebra i logika, Tome 46 (2007) no. 5, pp. 627-648

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The interpolation property in extensions of Johansson's minimal logic is investigated. The construction of a matched product of models is proposed, which allows us to prove the interpolation property in a number of known extensions of the minimal logic. It is shown that, unlike superintuitionistic, positive, and negative logics, a sum of $\mathrm J$-logics with the interpolation property CIP may fail to possess CIP, nor even the restricted interpolation property.
Keywords: interpolation property, Johansson's minimal logic.
Mots-clés : paraconsistent extension 
@article{AL_2007_46_5_a5,
     author = {L. L. Maksimova},
     title = {A~method of proving interpolation in paraconsistent extensions of the minimal logic},
     journal = {Algebra i logika},
     pages = {627--648},
     publisher = {mathdoc},
     volume = {46},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2007_46_5_a5/}
}
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L. L. Maksimova. A method of proving interpolation in paraconsistent extensions of the minimal logic. Algebra i logika, Tome 46 (2007) no. 5, pp. 627-648. http://geodesic.mathdoc.fr/item/AL_2007_46_5_a5/