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On Guaspari's problem about partially conservative sentences

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Publication:2120971
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DOI10.1016/j.apal.2022.103087OpenAlexW4226439024MaRDI QIDQ2120971

Albert Visser, Yuya Okawa, V. Yu. Shavrukov, Taishi Kurahashi

Publication date: 1 April 2022

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

Full work available at URL: https://arxiv.org/abs/1909.02761


zbMATH Keywords

incompleteness theorempartial conservativity


Mathematics Subject Classification ID

First-order arithmetic and fragments (03F30) Proof theory in general (including proof-theoretic semantics) (03F03) Gödel numberings and issues of incompleteness (03F40) Proof theory and constructive mathematics (03F99)




Cites Work

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  • Partially Conservative Extensions of Arithmetic
  • A generalization of the incompleteness theorem
  • On Partially Conservative Sentences and Interpretability
  • Rosser sentences
  • Calculating self-referential statements
  • HIERARCHICAL INCOMPLETENESS RESULTS FOR ARITHMETICALLY DEFINABLE EXTENSIONS OF FRAGMENTS OF ARITHMETIC
  • On weak completeness of intuitionistic predicate logic
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