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
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