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Ackermannian Goodstein sequences of intermediate growth

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Publication:2106602
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DOI10.1007/978-3-030-51466-2_14OpenAlexW3037982154MaRDI QIDQ2106602

David Fernández-Duque, Andreas Weiermann

Publication date: 16 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-51466-2_14


zbMATH Keywords

ordinal notation systemsindependence proofsGoodstein sequences


Mathematics Subject Classification ID

Theory of computing (68Qxx)


Related Items (1)

Deducibility and independence in Beklemishev's autonomous provability calculus




Cites Work

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  • Proof theory. The first step into impredicativity
  • An ordinal analysis for theories of self-referential truth
  • Ordinal Analysis and the Infinite Ramsey Theorem
  • Accessible Independence Results for Peano Arithmetic
  • Built-up systems of fundamental sequences and hierarchies of number-theoretic functions
  • A Uniform Approach to Fundamental Sequences and Hierarchies
  • Predicatively unprovable termination of the Ackermannian Goodstein process
  • ACKERMANNIAN GOODSTEIN PRINCIPLES FOR FIRST ORDER PEANO ARITHMETIC
  • Ramsey’s theorem for 𝑛-dimensional arrays
  • Transfinite ordinals in recursive number theory
  • On the restricted ordinal theorem




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