Restricted interpolation property in superintuitionistic logics
Algebra i logika, Tome 48 (2009) no. 1, pp. 54-89

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The restricted interpolation property IPR in modal and superintuitionistic logics is investigated. It is proved that in superintuitionistic logics of finite slices and in finite-slice extensions of the Grzegorczyk logic, the property IPR is equivalent to the projective Beth property PB2.
Keywords: restricted interpolation property, projective Beth property, superintuitionistic logic, Grzegorczyk logic.
@article{AL_2009_48_1_a2,
     author = {L. L. Maksimova},
     title = {Restricted interpolation property in superintuitionistic logics},
     journal = {Algebra i logika},
     pages = {54--89},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2009_48_1_a2/}
}
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L. L. Maksimova. Restricted interpolation property in superintuitionistic logics. Algebra i logika, Tome 48 (2009) no. 1, pp. 54-89. http://geodesic.mathdoc.fr/item/AL_2009_48_1_a2/