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October 1997 A normal form for arithmetical derivations implying the $\omega$-consistency of arithmetic
Kazuma Ikeda
Tsukuba J. Math. 21(2): 285-304 (October 1997). DOI: 10.21099/tkbjm/1496163242

Abstract

We give a normal form theorem for arithmetical derivations. It is proved by induction up to $\epsilon_{1}$ and implies the $\omega-$ consistency of arithmetic.

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Kazuma Ikeda. "A normal form for arithmetical derivations implying the $\omega$-consistency of arithmetic." Tsukuba J. Math. 21 (2) 285 - 304, October 1997. https://doi.org/10.21099/tkbjm/1496163242

Information

Published: October 1997
First available in Project Euclid: 30 May 2017

zbMATH: 0895.03024
MathSciNet: MR1473923
Digital Object Identifier: 10.21099/tkbjm/1496163242

Rights: Copyright © 1997 University of Tsukuba, Institute of Mathematics

Vol.21 • No. 2 • October 1997
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