On maximal intermediate logics with the disjunction property

Studia Logica 45 (1):69 - 75 (1986)
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Abstract

For intermediate logics, there is obtained in the paper an algebraic equivalent of the disjunction propertyDP. It is proved that the logic of finite binary trees is not maximal among intermediate logics withDP. Introduced is a logicND, which has the only maximal extension withDP, namely, the logicML of finite problems.

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References found in this work

A result on propositional logics having the disjunction property.Robert E. Kirk - 1982 - Notre Dame Journal of Formal Logic 23 (1):71-74.

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