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End extensions of models of weak arithmetic theories

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Publication:286696
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DOI10.1215/00294527-3452693zbMath1436.03302OpenAlexW2273720538MaRDI QIDQ286696

Costas Dimitracopoulos, Vasileios S. Paschalis

Publication date: 25 May 2016

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ndjfl/1452175098


zbMATH Keywords

arithmetized completeness theoremend extensionsfragments of Peano arithmetic


Mathematics Subject Classification ID

First-order arithmetic and fragments (03F30) Nonstandard models of arithmetic (03H15) Models of arithmetic and set theory (03C62)


Related Items (3)

Unifying the model theory of first-order and second-order arithmetic via \(\mathrm{WKL}_0^\ast\) ⋮ End extensions of models of fragments of \(\mathrm{PA}\) ⋮ MARGINALIA ON A THEOREM OF WOODIN




Cites Work

  • On the scheme of induction for bounded arithmetic formulas
  • A note on the Mac Dowell-Specker theorem
  • End-extending models of $IΔ_0 + exp + ΒΣ_1$
  • L'arithmétique ouverte et ses modèles non-standards
  • A sharp version of the bounded Matijasevich conjecture and the end-extension problem
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