A Direct Gentzen-Style Consistency Proof for Heyting Arithmetic

Annika Siders ()
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Annika Siders: University of Helsinki, Department of Philosophy

A chapter in Gentzen's Centenary, 2015, pp 177-211 from Springer

Abstract: 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].

Keywords: Heyting Arithmetic (HA); Gentzen; Arithmetic Rules; Sublemma; Mission Context (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10103-3_7

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DOI: 10.1007/978-3-319-10103-3_7

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