Franco Montagna's work on provability logic and many-valued logic
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Publication:300553
DOI10.1007/s11225-016-9654-3zbMath1380.03004OpenAlexW2288972123MaRDI QIDQ300553
Tommaso Flaminio, Lev D. Beklemishev
Publication date: 28 June 2016
Published in: Studia Logica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11225-016-9654-3
Fuzzy logic; logic of vagueness (03B52) Modal logic (including the logic of norms) (03B45) Biographies, obituaries, personalia, bibliographies (01A70) Probability and inductive logic (03B48) Other algebras related to logic (03G25) History of mathematical logic and foundations (03-03) Many-valued logic (03B50) Provability logics and related algebras (e.g., diagonalizable algebras) (03F45)
Cites Work
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- Undecidability of the elementary theory of the semilattice of GLP-words
- Gödel's diagonalization technique and related properties of theories
- Storage Operators and Multiplicative Quantifiers in Many-valued Logics
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- On elementary theories of ordinal notation systems based on reflection principles
- Proof theory for locally finite many-valued logics: semi-projective logics
- Partially undetermined many-valued events and their conditional probability
- The second incompleteness theorem and bounded interpretations
- \(n\)-contractive BL-logics
- Modal logics with several operators and probability interpretations
- Advanced Łukasiewicz calculus and MV-algebras
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- On the structure of generalized BL-algebras
- Bookmaking over infinite-valued events
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- Product logic and probabilistic Ulam games
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- State-morphism MV-algebras
- Ordered groups with a conucleus
- Arithmetic analogues of McAloon's unique Rosser sentences
- Interpretations of the first-order theory of diagonalizable algebras in Peano arithmetic
- The undecidability of the first-order theory of diagonalizable algebras
- Explicit fixed points in interpretability logic
- On the proof of Solovay's theorem
- Representation and reticulation by quotients of MV-algebras
- 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
- Tensor products and the Loomis-Sikorski theorem for MV-algebras
- Metamathematics of fuzzy logic
- The logic of \(\Pi_ 1\)-conservativity continued
- On propositional quantifiers in provability logic
- Shavrukov's theorem on the subalgebras of diagonalizable algebras for theories containing \(I\Delta_ 0 + \exp\)
- A smart child of Peano's
- Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
- Triangular norms
- MV-algebras, multiple bets and subjective states
- A proof of standard completeness for Esteva and Godo's logic MTL
- On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm logic
- On the predicate logics of continuous t-norm BL-algebras
- A logical and algebraic treatment of conditional probability
- Standard completeness theorem for \(\Pi\)MTL
- Varieties of BL-algebras. I: General properties.
- Algebraic foundations of many-valued reasoning
- Averaging the truth-value in Łukasiewicz logic
- Slow consistency
- An algebraic approach to propositional fuzzy logic
- Amalgamation and interpolation in ordered algebras.
- Algebraic and proof-theoretic characterizations of truth stressers for MTL and its extensions
- A categorical equivalence for product algebras
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- De Finetti theorem and Borel states in \([0, 1\)-valued algebraic logic]
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- Continuous approximations of product implication in MV-algebras with product
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- Effectively inseparable Boolean algebras in lattices of sentences
- Advances in the theory of L algebras
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- A new principle in the interpretability logic of all reasonable arithmetical theories
- A Notion of Coherence for Books on Conditional Events in Many-valued Logic
- Craig interpolation for semilinear substructural logics
- Fair bets and inductive probabilities
- Solution of a problem of Leon Henkin
- Algebraic Analysis of Many Valued Logics
- Arithmetization of metamathematics in a general setting
- Modal analysis of generalized rosser sentences
- On Weakly Cancellative Fuzzy Logics
- A note on the first‐order logic of complete BL‐chains
- Arithmetical Complexity of First-order Predicate Fuzzy Logics Over Distinguished Semantics
- Interpolation Properties, Beth Definability Properties and Amalgamation Properties for Substructural Logics
- Provability in finite subtheories of PA and relative interpretability: a modal investigation
- The degree of the set of sentences of predicate provability logic that are true under every interpretation
- Radically Elementary Probability Theory. (AM-117)
- Algebraizable logics
- The Uncertain Reasoner's Companion
- Undecidability in diagonalizable algebras
- Sul significato soggettivo della probabilità
