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On maximal intermediate logics with the disjunction property
Studia Logica 45 (1):69 - 75 (1986)
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.My notes
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Citations of this work
Inquisitive Logic.Ivano Ciardelli & Floris Roelofsen - 2011 - Journal of Philosophical Logic 40 (1):55-94.
Propositional logics of dependence.Fan Yang & Jouko Väänänen - 2016 - Annals of Pure and Applied Logic 167 (7):557-589.
A Generalization of Inquisitive Semantics.Vít Punčochář - 2016 - Journal of Philosophical Logic 45 (4):399-428.
An Algebraic Approach to Inquisitive and -Logics.Nick Bezhanishvili, Gianluca Grilletti & Davide Emilio Quadrellaro - 2022 - Review of Symbolic Logic 15 (4):950-990.
Varieties of monadic Heyting algebras. Part I.Guram Bezhanishvili - 1998 - Studia Logica 61 (3):367-402.
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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