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Local induction and provably total computable functions

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Publication:2453069
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DOI10.1016/j.apal.2014.04.012zbMath1316.03037OpenAlexW1999275823MaRDI QIDQ2453069

F. F. Lara-Martín, Andrés Cordón-Franco

Publication date: 6 June 2014

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2014.04.012

zbMATH Keywords

first-order arithmeticprimitive recursive functionsconservation resultsparameter-free induction


Mathematics Subject Classification ID

First-order arithmetic and fragments (03F30) Models of arithmetic and set theory (03C62) Recursive functions and relations, subrecursive hierarchies (03D20)


Related Items

Induction rules in bounded arithmetic



Cites Work

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  • Induction, minimization and collection for \(\Delta_{n+1}(T)\)-formulas
  • A proof-theoretic analysis of collection
  • Induction rules, reflection principles, and provably recursive functions
  • Saturated models of universal theories
  • Parameter free induction and provably total computable functions
  • Herbrand analyses
  • On parameter free induction schemas
  • Notes on polynomially bounded arithmetic
  • Functions provably total in $I^{-}Σ_{n}$
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