Two measures for proving Gentzen's Hauptsatz without mix

Archive for Mathematical Logic 42 (4):371-387 (2003)

Abstract
This paper presents a cut-elimination procedure for classical and intuitionistic logic, in which cut is eliminated directly, without introducing the mix rule. The well-known problem of cut eliminations, when in the derivation the contractions of the cut-formulae are above the premisses of the cut, will be solved by new transformations of the derivation.
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DOI 10.1007/s00153-002-0155-x
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A Connection Between Cut Elimination and Normalization.Mirjana Borisavljević - 2006 - Archive for Mathematical Logic 45 (2):113-148.

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