4.1 Article

Arithmetical Soundness and Completeness for Σ2 Numerations

Journal

STUDIA LOGICA
Volume 106, Issue 6, Pages 1181-1196

Publisher

SPRINGER
DOI: 10.1007/s11225-017-9782-4

Keywords

Provability logic; Sacchetti's logics; Arithmetical completeness theorem; Formalized arithmetic; Numerations

Funding

  1. JSPS KAKENHI [16K17653]
  2. Grants-in-Aid for Scientific Research [17H02263, 16K17653] Funding Source: KAKEN

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We prove that for each recursively axiomatized consistent extension T of Peano Arithmetic and This settles Sacchetti's problem affirmatively.

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