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A short note on essentially \(\Sigma_1\) sentences

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Publication:1945709
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DOI10.1007/s11787-012-0070-9zbMath1270.03039OpenAlexW2014462294MaRDI QIDQ1945709

Duccio Pianigiani, Franco Montagna

Publication date: 8 April 2013

Published in: Logica Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11787-012-0070-9


zbMATH Keywords

interpretability logicprovability logicessentially \(\Sigma_1\) formulafirst-order fragments of arithmetic


Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45) First-order arithmetic and fragments (03F30) Provability logics and related algebras (e.g., diagonalizable algebras) (03F45)


Related Items

Obituary: Franco Montagna (1948--2015)



Cites Work

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  • The logic of \(\Pi_ 1\)-conservativity
  • Provability interpretations of modal logic
  • The logic of \(\Pi_ 1\)-conservativity continued
  • A course on bimodal provability logic
  • Self provers and  1 sentences
  • Sentences implying their own provability
  • Modal Matters for Interpretability Logics
  • Rosser sentences
  • Redundancies in the Hilbert-Bernays derivability conditions for Gödel's second incompleteness theorem
  • The interpretability logic of Peano arithmetic
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