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Marginalia on Sequent Calculi
Authors:Troelstra  A. S.
Affiliation:(1) Faculteit WINS Plantage, Muidergracht 24, 1018 TV Amsterdam-NL
Abstract:The paper discusses the relationship between normal natural deductions and cutfree proofs in Gentzen (sequent) calculi in the absence of term labeling. For Gentzen calculi this is the usual version; for natural deduction this is the version under the complete discharge convention, where open assumptions are always discharged as soon as possible. The paper supplements work by Mints, Pinto, Dyckhoff, and Schwichtenberg on the labeled calculi.
Keywords:sequent calculus  normal deduction  cutfree deduction  complete discharge convention
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