The model-theoretic ordinal analysis of theories of predicative strength

Journal of Symbolic Logic 64 (1):327-349 (1999)
Authors
Jeremy Avigad
Carnegie Mellon University
Abstract
We use model-theoretic methods described in [3] to obtain ordinal analyses of a number of theories of first- and second-order arithmetic, whose proof-theoretic ordinals are less than or equal to Γ0.
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DOI 10.2307/2586768
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Classical Predicative Logic-Enriched Type Theories.Robin Adams & Zhaohui Luo - 2010 - Annals of Pure and Applied Logic 161 (11):1315-1345.

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