The Interpolation Problem in Finite-Layered Pre-Heyting Logics


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The interpolation problem over Johansson’s minimal logic J is considered. We introduce a series of Johansson algebras, which will be used to prove a number of necessary conditions for a J-logic to possess Craig’s interpolation property (CIP). As a consequence, we deduce that there exist only finitely many finite-layered pre-Heyting algebras with CIP.

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L. Maksimova

Sobolev Institute of Mathematics; Novosibirsk State University, ul

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Email: lmaksi@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; Pirogova 1, Novosibirsk, 630090

V. Yun

Sobolev Institute of Mathematics; Novosibirsk State University, ul

Email: lmaksi@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; Pirogova 1, Novosibirsk, 630090

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