Provability logic without Craig's interpolation property

DOI10.1007/BF01158230zbMath0688.03011OpenAlexW2018741016MaRDI QIDQ1263572

Lev D. Beklemishev

Publication date: 1989

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158230

zbMATH Keywords

Peano arithmeticprovability logicmodal logicsCraig's interpolation property

Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45) First-order arithmetic and fragments (03F30) Gödel numberings and issues of incompleteness (03F40)

Cites Work

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• Modal tableau calculi and interpolation
• The provability logics of recursively enumerable theories extending Peano arithmetic at arbitrary theories extending Peano arithmetic
• Provability interpretations of modal logic
• On systems of modal logic with provability interpretations

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