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arXiv:1405.4485 [math.LO]AbstractReferencesReviewsResources

Well ordering principles and bar induction

Michael Rathjen, Pedro Francisco Valencia Vizcaino

Published 2014-05-18Version 1

In this paper we show that the existence of omega-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.

Comments: 29 pages
Categories: math.LO
Subjects: 03B30, 03F05, 03F15, 03F35, 03F35
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