On a strengthening of the non-isomorphism theorem for provability algebras

DOI10.1134/S1064562421040086OpenAlexW3212812839MaRDI QIDQ2246876

E. A. Kolmakov

Publication date: 16 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421040086

zbMATH Keywords

reflection principleprovability predicateprovability algebra

Mathematics Subject Classification ID

General logic (03Bxx) Proof theory and constructive mathematics (03Fxx) Algebraic logic (03Gxx)

Cites Work

• A note on the diagonalizable algebras of PA and ZF
• Provability interpretations of modal logic
• A proof-theoretic analysis of collection
• Proof-theoretic analysis by iterated reflection
• Reflection principles and provability algebras in formal arithmetic
• Undecidability in diagonalizable algebras
• Deduction-preserving "Recursive Isomorphisms" between theories
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