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Interpolation in non-classical logics
Synthese 164 (3):421 - 435 (2008)
Abstract
We discuss the interpolation property on some important families of non classical logics, such as intuitionistic, modal, fuzzy, and linear logics. A special paragraph is devoted to a generalization of the interpolation property, uniform interpolation.Other Versions
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Citations of this work
Lyndon interpolation theorem of instantial neighborhood logic – constructively via a sequent calculus.Junhua Yu - 2020 - Annals of Pure and Applied Logic 171 (1):102721.
Uniform interpolation in substructural logics.Majid Alizadeh, Farzaneh Derakhshan & Hiroakira Ono - 2014 - Review of Symbolic Logic 7 (3):455-483.
Craig Interpolation in the Presence of Unreliable Connectives.João Rasga, Cristina Sernadas & Amlcar Sernadas - 2014 - Logica Universalis 8 (3-4):423-446.
On some Classes of Heyting Algebras with Successor that have the Amalgamation Property.José L. Castiglioni & Hernán J. San Martín - 2012 - Studia Logica 100 (6):1255-1269.
References found in this work
Introduction to Non-Classical Logic.Graham Priest - 2001 - Cambridge and New York: Cambridge University Press.
An Introduction to Non-Classical Logic.Graham Priest - 2001 - Bulletin of Symbolic Logic 12 (2):294-295.
On an interpretation of second order quantification in first order intuitionistic propositional logic.Andrew M. Pitts - 1992 - Journal of Symbolic Logic 57 (1):33-52.
Contraction-free sequent calculi for intuitionistic logic.Roy Dyckhoff - 1992 - Journal of Symbolic Logic 57 (3):795-807.
Modal tableau calculi and interpolation.Wolfgang Rautenberg - 1983 - Journal of Philosophical Logic 12 (4):403 - 423.
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