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Weak forms of the Regularity Principle in the presence of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\bf {\mathsf {I}{\mathrm{E}}_1}$\end{document}

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Publication:4915222
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DOI10.1002/malq.201100100zbMath1264.03123OpenAlexW1991354632MaRDI QIDQ4915222

Ch. Cornaros

Publication date: 9 April 2013

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.201100100


zbMATH Keywords

Pell equationregularity principlebounded collection principleweak fragments of PAlimit schemata


Mathematics Subject Classification ID

First-order arithmetic and fragments (03F30)


Related Items

Algebraic combinatorics in bounded induction



Cites Work

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  • Diophantine induction
  • The Skolem-Bang theorems in ordered fields with an IP
  • Pell equations and exponentiation in fragments of arithmetic
  • On the limit existence principles in elementary arithmetic and \(\varSigma_{n}^{0}\)-consequences of theories
  • The Pigeonhole Principle and Fragments of Arithmetic
  • Regularity in models of arithmetic
  • Bounded existential induction
  • Parameter-Free Universal Induction
  • Σ_{𝑛}-bounding and Δ_{𝑛}-induction
  • On Overspill Principles and Axiom Schemes for Bounded Formulas
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