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
Related articles: Most relevant | Search more
arXiv:2006.12111 [math.LO] (Published 2020-06-22)
Well ordering principles and $Π^1_4$-statements: a pilot study
arXiv:1811.09964 [math.LO] (Published 2018-11-25)
Proof-theoretic ordinals of the well ordering principles
arXiv:1906.00645 [math.LO] (Published 2019-06-03)
How strong are single fixed points of normal functions?