The Interpolation Problem in Finite-Layered Pre-Heyting Logics

L. L. Maksimova; V. F. Yun

doi:10.1007/s10469-019-09533-3

The Interpolation Problem in Finite-Layered Pre-Heyting Logics

L. L. Maksimova, V. F. Yun

Кафедра алгебры и математической логики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	144-157
Число страниц	14
Журнал	Algebra and Logic
Том	58
Номер выпуска	2
DOI	https://doi.org/10.1007/s10469-019-09533-3
Состояние	Опубликовано - 15 мая 2019

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10.1007/s10469-019-09533-3

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KW - DECIDABILITY

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The Interpolation Problem in Finite-Layered Pre-Heyting Logics

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