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Explaining the Gentzen–Takeuti reduction steps: a second-order system

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Abstract.

Using the concept of notations for infinitary derivations we give an explanation of Takeuti's reduction steps on finite derivations (used in his consistency proof for Π1 1-CA) in terms of the more perspicious infinitary approach from [BS88].

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  1. Mathematisches Institut der Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany. e-mail: buchholz@rz.mathematik.uni-muenchen.de, , , , , , DE

    Wilfried Buchholz

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  1. Wilfried Buchholz
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Received: 27 April 1999 / Published online: 21 March 2001

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Buchholz, W. Explaining the Gentzen–Takeuti reduction steps: a second-order system. Arch. Math. Logic 40, 255–272 (2001). https://doi.org/10.1007/s001530000064

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  • DOI: https://doi.org/10.1007/s001530000064

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