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(2002) Synthese 133 (1-2).
We give an overview of recent results in ordinal analysis. Therefore,we discuss the different frameworks used in mathematical proof-theory, namely subsystem of analysis including reversemathematics, Kripke–Platek set theory, explicitmathematics, theories of inductive definitions,constructive set theory, and Martin-Löf’s typetheory.
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Full citation:
Kahle, R. (2002). Mathematical proof theory in the light of ordinal analysis. Synthese 133 (1-2), pp. 237-255.
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