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.
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Supported by RFBR (project No. 06-01-00358) and by the Council for Grants (under RF President) and State Aid of Leading Scientific Schools (grant NSh-335.2008.1).
Translated from Algebra i Logika, Vol. 48, No. 1, pp. 54-89, January-February, 2009.
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Maksimova, L.L. Restricted interpolation property in superintuitionistic logics. Algebra Logic 48, 33–53 (2009). https://doi.org/10.1007/s10469-009-9042-4
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DOI: https://doi.org/10.1007/s10469-009-9042-4