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Independent numerations of theories and recursive progressions

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Publication:1204765
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DOI10.1007/BF00970985zbMath0787.03054MaRDI QIDQ1204765

Lev D. Beklemishev

Publication date: 28 March 1993

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


zbMATH Keywords

modal logicprovability logicaxiomatizationsequences of theories


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)


Related Items

On bimodal logics of provability, The omega-rule interpretation of transfinite provability logic, A NOTE ON DERIVABILITY CONDITIONS



Cites Work

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  • Modal logics with several operators and probability interpretations
  • Provability logics for natural Turing progressions of arithmetical theories
  • The provability logics of recursively enumerable theories extending Peano arithmetic at arbitrary theories extending Peano arithmetic
  • Provability interpretations of modal logic
  • Arithmetization of metamathematics in a general setting
  • Arithmetical interpretations of dynamic logic
  • Provability in finite subtheories of PA and relative interpretability: a modal investigation
  • Calculating self-referential statements
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