Arithmetical completeness theorem for modal logic \(\mathsf{K}\)
From MaRDI portal
Publication:1743993
DOI10.1007/s11225-017-9735-yzbMath1437.03090OpenAlexW2623438580MaRDI QIDQ1743993
Publication date: 16 April 2018
Published in: Studia Logica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11225-017-9735-y
Modal logic (including the logic of norms) (03B45) First-order arithmetic and fragments (03F30) Provability logics and related algebras (e.g., diagonalizable algebras) (03F45)
Related Items
The absorption law. Or: how to Kreisel a Hilbert-Bernays-Löb, Rosser provability and normal modal logics, Arithmetical completeness theorems for monotonic modal logics, ANOTHER LOOK AT THE SECOND INCOMPLETENESS THEOREM, Arithmetical soundness and completeness for \(\Sigma_{2}\) numerations, PROVABILITY LOGICS RELATIVE TO A FIXED EXTENSION OF PEANO ARITHMETIC, CURRENT RESEARCH ON GÖDEL’S INCOMPLETENESS THEOREMS
Cites Work
- Unnamed Item
- Four valued semantics and the Liar
- Provability interpretations of modal logic
- On the algebraization of a Feferman's predicate. (The algebraization of theories which express Theor; X)
- Peano's smart children: A provability logical study of systems with built-in consistency
- A smart child of Peano's
- Arithmetization of metamathematics in a general setting
- ON THE CLASSIFICATION OF PROPOSITIONAL PROVABILITY LOGICS
- Models of axiomatic systems