Proof Theory for Theories of Ordinals III: $$\Pi _{N}$$ -Reflection

Toshiyasu Arai ()
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Toshiyasu Arai: Chiba University, Graduate School of Science

A chapter in Gentzen's Centenary, 2015, pp 357-424 from Springer

Abstract: Abstract This paper deals with a proof theory for a theory T N of $$\Pi _{N}$$ -reflecting ordinals using a system $$\mathit{Od}(\Pi _{N})$$ of ordinal diagrams. This is a sequel to the previous one (Arai, Ann Pure Appl Log 129:39–92, 2004) in which a theory for $$\Pi _{3}$$ -reflecting ordinals is analysed proof-theoretically.

Keywords: Ordination Diagram; Knotting Numbers; Proof-theoretic Analysis; Low Opinion; Side Formula (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_14

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DOI: 10.1007/978-3-319-10103-3_14

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