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Topological completeness of the provability logic GLP

  • Published:2013-12 Issue:12 Volume:164 Page:1201-1223
  • ISSN:0168-0072
  • Container-title:Annals of Pure and Applied Logic
  • language:en
  • Short-container-title:Annals of Pure and Applied Logic

Author:

Beklemishev Lev,Gabelaia David

Funder

Russian Foundation for Basic Research (RFBR)

Russian Presidential Council for Support of Leading Scientific Schools

Swiss–Russian cooperation project STCP-CH-RU “Computational proof theory”

Shota Rustaveli National Science Foundation

French–Georgian grant CNRS–SRNSF

Publisher

Elsevier BV

Subject

Logic

Reference27 articles.

1. Ordinal completeness of the Gödel–Löb modal system;Abashidze,1985

2. J. Bagaria, Topologies on ordinals and the completeness of polymodal provability logic, 2012, in preparation.

3. J. Bagaria, M. Magidor, H. Sakai, Reflection and indescribability in the constructible universe, 2012, manuscript.

4. Provability algebras and proof-theoretic ordinals, I;Beklemishev;Ann. Pure Appl. Logic,2004

5. Reflection principles and provability algebras in formal arithmetic;Beklemishev;Uspekhi Mat. Nauk,2005

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1. Geometric Modal Logic;Notre Dame Journal of Formal Logic;2023-08-01

2. COMPLETENESS OF THE GÖDEL–LÖB PROVABILITY LOGIC FOR THE FILTER SEQUENCE OF NORMAL MEASURES;The Journal of Symbolic Logic;2023-02-23

3. A topological completeness theorem for transfinite provability logic;Archive for Mathematical Logic;2023-02-22

4. MÜNCHHAUSEN PROVABILITY;The Journal of Symbolic Logic;2021-06-10

5. Deducibility and independence in Beklemishev's autonomous provability calculus;Information and Computation;2021-05
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