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A Direct Gentzen-Style Consistency Proof for Heyting Arithmetic

In: Gentzen's Centenary

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  • Annika Siders

    (University of Helsinki, Department of Philosophy)

Abstract

Gerhard Gentzen was the first to give a proof of the consistency of Peano Arithmetic and in all he worked out four different proofs between 1934 and 1939. The second proof was published as [1], the third as [2], and the fourth as [3]. The first proof was published posthumously in English translation in [4] and in the German original as [5].

Suggested Citation

  • Annika Siders, 2015. "A Direct Gentzen-Style Consistency Proof for Heyting Arithmetic," Springer Books, in: Reinhard Kahle & Michael Rathjen (ed.), Gentzen's Centenary, edition 1, pages 177-211, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-10103-3_7
    DOI: 10.1007/978-3-319-10103-3_7
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