PREDICATIVE COLLAPSING PRINCIPLES
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Publication:5107241
DOI10.1017/jsl.2019.83zbMath1479.03007arXiv1906.07448OpenAlexW2995344442MaRDI QIDQ5107241
Publication date: 17 April 2020
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.07448
Veblen functionreverse mathematicsarithmetical transfinite recursionarithmetical comprehensionwell-ordering principlesdilatorsBachmann-Howard fixed points
Foundations of classical theories (including reverse mathematics) (03B30) Second- and higher-order arithmetic and fragments (03F35) Recursive ordinals and ordinal notations (03F15)
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Minimal bad sequences are necessary for a uniform Kruskal theorem, Well ordering principles for iterated \(\Pi^1_1\)-comprehension, Bachmann-Howard derivatives, Ackermann and Goodstein go functorial
Cites Work
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- Reverse mathematics and well-ordering principles: a pilot study
- Proof-theoretic investigations on Kruskal's theorem
- Reverse mathematics and ordinal exponentiation
- Transfinite induction within Peano arithmetic
- Derivatives of normal functions in reverse mathematics
- \(\Pi_1^1\)-comprehension as a well-ordering principle
- The Veblen functions for computability theorists
- Π12-logic, Part 1: Dilators
- Computable aspects of the Bachmann–Howard principle
- HOW STRONG ARE SINGLE FIXED POINTS OF NORMAL FUNCTIONS?
- A categorical construction of Bachmann–Howard fixed points
- A Survey on Ordinal Notations Around the Bachmann–Howard Ordinal
- Well-Ordering Principles and Bar Induction