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arxiv: 1007.0844 · v1 · submitted 2010-07-06 · 🧮 math.LO

Proof theory for theories of ordinals III: Pi_(N)-reflection

classification 🧮 math.LO
keywords theoryordinalsproofreflectionanalysedapaldealsdiagrams
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This paper deals with a proof theory for a theory of $\Pi_{N}$-reflecting ordinals using a system of ordinal diagrams. This is a sequel to the previous one(APAL 129)in which a theory for $\Pi_{3}$-reflection is analysed proof-theoretically.

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