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The model-theoretic ordinal analysis of theories of predicative strength
Journal of Symbolic Logic 64 (1):327-349 (1999)
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.Author's Profile
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Citations of this work
A model-theoretic approach to ordinal analysis.Jeremy Avigad & Richard Sommer - 1997 - Bulletin of Symbolic Logic 3 (1):17-52.
Reducing omega-model reflection to iterated syntactic reflection.Fedor Pakhomov & James Walsh - 2021 - Journal of Mathematical Logic 23 (2).
Classical predicative logic-enriched type theories.Robin Adams & Zhaohui Luo - 2010 - Annals of Pure and Applied Logic 161 (11):1315-1345.
An ordinal analysis of admissible set theory using recursion on ordinal notations.Jeremy Avigad - 2002 - Journal of Mathematical Logic 2 (1):91-112.
References found in this work
Transfinite induction within Peano arithmetic.Richard Sommer - 1995 - Annals of Pure and Applied Logic 76 (3):231-289.
On the relationship between ATR 0 and.Jeremy Avigad - 1996 - Journal of Symbolic Logic 61 (3):768-779.
On the strength of könig's duality theorem for countable bipartite graphs.Stephen G. Simpson - 1994 - Journal of Symbolic Logic 59 (1):113-123.
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