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Proof theory for theories of ordinals II:< i> Π_< sub> 3-reflection
Annals of Pure and Applied Logic 129 (1):39-92 (2004)
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Citations of this work
Wellfoundedness proofs by means of non-monotonic inductive definitions II: first order operators.Toshiyasu Arai - 2010 - Annals of Pure and Applied Logic 162 (2):107-143.
Relativized ordinal analysis: The case of Power Kripke–Platek set theory.Michael Rathjen - 2014 - Annals of Pure and Applied Logic 165 (1):316-339.
Ordinal analysis by transformations.Henry Towsner - 2009 - Annals of Pure and Applied Logic 157 (2-3):269-280.
Reading Gentzen's Three Consistency Proofs Uniformly.Ryota Akiyoshi & Yuta Takahashi - 2013 - Journal of the Japan Association for Philosophy of Science 41 (1):1-22.
A Sneak Preview of Proof Theory of Ordinals.Toshiyasu Arai - 2012 - Annals of the Japan Association for Philosophy of Science 20:29-47.
References found in this work
Proof theory of reflection.Michael Rathjen - 1994 - Annals of Pure and Applied Logic 68 (2):181-224.
An ordinal analysis of parameter free Π12-comprehension.Michael Rathjen - 2005 - Archive for Mathematical Logic 44 (3):263-362.
Proof theory for theories of ordinals—I: recursively Mahlo ordinals.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 122 (1-3):1-85.
Wellfoundedness proofs by means of non-monotonic inductive definitions I: Π₂⁰-operators.Toshiyasu Arai - 2004 - Journal of Symbolic Logic 69 (3):830-850.
Pure proof theory aims, methods and results.Wolfram Pohlers - 1996 - Bulletin of Symbolic Logic 2 (2):159-188.
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