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Provability logic information


Provability logic is a modal logic, in which the box (or "necessity") operator is interpreted as 'it is provable that'. The point is to capture the notion of a proof predicate of a reasonably rich formal theory, such as Peano arithmetic.

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Provability logic

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Provability logic is a modal logic, in which the box (or "necessity") operator is interpreted as 'it is provable that'. The point is to capture the notion...

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Proof theory

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of proof theory include structural proof theory, ordinal analysis, provability logic, reverse mathematics, proof mining, automated theorem proving, and...

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Modal logic

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necessity Modal verb Multimodal logic Multi-valued logic Neighborhood semantics Provability logic Regular modal logic Relevance logic Strict conditional Two-dimensionalism...

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Provable

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up provability or provable in Wiktionary, the free dictionary. Provability or provable (and disprovability or disprovable) may refer to: Provability logic...

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Interpretability logic

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Interpretability logics comprise a family of modal logics that extend provability logic to describe interpretability or various related metamathematical...

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List of logic symbols

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contains logic symbols. Without proper rendering support, you may see question marks, boxes, or other symbols instead of logic symbols. In logic, a set...

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Outline of logic

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logic Non-monotonic logic Ordered logic Paraconsistent logic Philosophical logic Predicate logic Propositional logic Provability logic Quantum logic Relevance...

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Intuitionistic logic

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intuitionistic logic therefore preserve justification, with respect to evidence and provability, rather than truth-valuation. Intuitionistic logic is a commonly-used...

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George Boolos

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later led to a new treatment, The Logic of Provability, published in 1993. The modal-logical treatment of provability helped demonstrate the "intensionality"...

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List of mathematical logic topics

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Provability logic Interpretability logic Sequent Sequent calculus Analytic proof Structural proof theory Self-verifying theories Substructural logics...

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Timeline of mathematical logic

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develops two interpretations of intuitionistic logic in terms of a provability logic, which would become the standard axiomatization of S4. 1934 - Thoralf...

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Probabilistic logic

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notion for both logical entailment (provability) and probability. The idea is to augment standard propositional logic by considering an epistemic operator...

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Rineke Verbrugge

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and computer scientist known for her work on interpretability logic and provability logic. She completed her PhD at the University of Amsterdam in 1993...

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Logic

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Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical...

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Mathematical logic

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mathematics to emphasize provability. The relationship between provability in classical (or nonconstructive) systems and provability in intuitionistic (or...

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Truth value

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logic lacks a complete set of truth values because its semantics, the Brouwer–Heyting–Kolmogorov interpretation, is specified in terms of provability...

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Giorgi Japaridze

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arithmetic (provability algebras and proof-theoretic ordinals). Japaridze has also studied the first-order (predicate) versions of provability logic. He came...

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Propositional calculus

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branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals...

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Fuzzy logic

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Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept...

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Glossary of logic

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invoking propositions as entities. provability logic A branch of modal logic concerned with the properties of provability and modalities that express notions...

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