Marginalia on sequent calculi

Studia Logica 62 (2):291-303 (1999)
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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.

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Author's Profile

Anne Troelstra
Last affiliation: University of Amsterdam

Citations of this work

Normal Gentzen deductions in the classical case.A. Palmigiano - 2000 - Logic Journal of the IGPL 8 (2):211-219.

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References found in this work

Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Basic proof theory.A. S. Troelstra - 1996 - New York: Cambridge University Press. Edited by Helmut Schwichtenberg.
The collected papers of Gerhard Gentzen.Gerhard Gentzen - 1969 - Amsterdam,: North-Holland Pub. Co.. Edited by M. E. Szabo.
Untersuchungen über das logische Schließen. II.Gerhard Gentzen - 1935 - Mathematische Zeitschrift 39:405–431.
The formulae-as-types notion of construction.William Alvin Howard - 1980 - In Haskell Curry, Hindley B., Seldin J. Roger & P. Jonathan (eds.), To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus, and Formalism. Academic Press.

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