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An intensional fixed point theory over first order arithmetic

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Publication:1877095
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DOI10.1016/j.apal.2003.11.032zbMath1048.03047OpenAlexW2027106493MaRDI QIDQ1877095

Gerhard Jäger

Publication date: 16 August 2004

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.2003.11.032

zbMATH Keywords

Fixed pointsArithmeticProof-theoretical strength


Mathematics Subject Classification ID

First-order arithmetic and fragments (03F30) Metamathematics of constructive systems (03F50)


Related Items

A fixed point theory over stratified truth, Extending constructive operational set theory by impredicative principles



Cites Work

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  • Iterated inductive definitions and subsystems of analysis: recent proof-theoretical studies
  • Logical frameworks for truth and abstraction. An axiomatic study
  • The proof-theoretic analysis of transfinitely iterated fixed point theories
  • μ-definable sets of integers
  • On the relationship between ATR0 and
  • Rudiments of \(\mu\)-calculus
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