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On the proof theory of the intermediate logic MH 1
Jonathan P. Seldin
Journal:

The Journal of Symbolic Logic / Volume 51 / Issue 3 / September 1986

Published online by Cambridge University Press:

12 March 2014, pp. 626-647

Print publication:

September 1986
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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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On the proof theory of the intermediate logic MH1

On the proof theory of the intermediate logic MH 1