On the proof theory of the intermediate logic MH

Journal of Symbolic Logic 51 (3):626-647 (1986)
Abstract
A natural deduction formulation is given for the intermediate logic called MH by Gabbay in [4]. Proof-theoretic methods are used to show that every deduction can be normalized, that MH is the weakest intermediate logic for which the Glivenko theorem holds, and that the Craig-Lyndon interpolation theorem holds for it
Keywords Intermediate logic MH   normalization   Glivenko theorem   Craig-Lyndon interpolation theorem
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DOI 10.2307/2274019
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Normalization and Excluded Middle. I.Jonathan P. Seldin - 1989 - Studia Logica 48 (2):193 - 217.

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