Interpolation in fragments of intuitionistic propositional logic

Journal of Symbolic Logic 54 (4):1419-1430 (1989)
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Abstract

We show in this paper that all fragments of intuitionistic propostional logic based on a subset of the connectives $\wedge, \vee, \rightarrow, \neg$ satisfy interpolation. Fragments containing $\leftrightarrow$ or $\neg\neg$ are briefly considered

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References found in this work

Proof Theory.Gaisi Takeuti - 1990 - Studia Logica 49 (1):160-161.
An extension of the Craig-Lyndon interpolation theorem.Leon Henkin - 1963 - Journal of Symbolic Logic 28 (3):201-216.

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