Well-Ordering Principles and Bar Induction

Michael Rathjen () and Pedro Francisco Valencia Vizcaíno
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Michael Rathjen: University of Leeds, School of Mathematics
Pedro Francisco Valencia Vizcaíno: University of Leeds, School of Mathematics

A chapter in Gentzen's Centenary, 2015, pp 533-561 from Springer

Abstract: Abstract In this paper we show that the existence of ω-models of bar induction is equivalent to the principle saying that applying the Howard–Bachmann operation to any well-ordering yields again a well-ordering.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10103-3_19

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DOI: 10.1007/978-3-319-10103-3_19

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