Proof theory for theories of ordinals III: $Π_{N}$-reflection

Details Proof theory for theories of ordinals III: $Π_{N}$-reflection Proof theory for theories of ordinals III: $Π_{N}$-reflection

2010-07-06

arxiv.org/abs/1007.0844v1

Mathematics

Logic

Scientific paper

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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