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Please use this identifier to cite or link to this item: https://doi.org/10.1112/jlms/jdm016
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dc.titleThe jump of a Σn-cut
dc.contributor.authorChong, C.T.
dc.contributor.authorYang, Y.
dc.date.accessioned2014-10-28T02:47:44Z
dc.date.available2014-10-28T02:47:44Z
dc.date.issued2007-06
dc.identifier.citationChong, C.T., Yang, Y. (2007-06). The jump of a Σn-cut. Journal of the London Mathematical Society 75 (3) : 690-704. ScholarBank@NUS Repository. https://doi.org/10.1112/jlms/jdm016
dc.identifier.issn00246107
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104309
dc.description.abstractLet n≥1. We study the proof-theoretic strength of jump classes of the Turing degrees from the point of view of fragments of Peano arithmetic. By investigating the jump of a Σn definable cut in a model of Δn-induction, we show that over the base theory PA- + Δn-induction, the existence of a non-trivial lown Turing degree is equivalent to Σn-induction. © 2007 London Mathematical Society.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1112/jlms/jdm016
dc.description.sourcetitleJournal of the London Mathematical Society
dc.description.volume75
dc.description.issue3
dc.description.page690-704
dc.identifier.isiut000249629300011
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