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Provability logic

Provability logic is a branch of proof theory and 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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Map overview Semantic statistics

Provability logic

Nodes24
Edges23
Triples71
Avg. degree1.92
Density0.083333
Components1

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Provability logic

Top relations

related to References · 35
Provability logic → Artemov, Berlin, Buss, Cambridge University Press, Craig Smoryński, Dick, Elsevier, Gabbay, George Boolos, Giorgi Japaridze, Guenthner, Handbook, In, Israel Journal, Jongh, Lev Beklemishev, Mathematics, Modal Logic, Per Lindström, Philosophical Logic
related to history · 18
Provability logic → Albert Visser, Artemov, Dick, Franco Montagna, George Boolos, Giorgi Japaridze, Giovanni Sambin, In, Jongh, Kurt Gödel, Lev Beklemishev, Robert, Sergei, Significant, Since, Solovay, The GL, Vladimir Shavrukov
related to Examples · 11
Provability logic → GL, Gödel, It, K4, K4W, Löb, Löb's, Namely, References, The, There
related to External links · 4
Provability logic → Philosophy, Provability, Rineke Verbrugge, Stanford Encyclopedia
related to Generalizations · 2
Provability logic → Interpretability, Japaridze's
is a · 1
Provability logic → branch of proof theory and a modal logic

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Important terminology

logic provability modal proof theory gl löb's pp operator references gödel logics mentioned theorem propositional paper robert solovay 1976 1996

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Provability logicis abranch of proof theory and a modal logic0.90text
Provability logicrelated to ExamplesThere0.60section
Provability logicrelated to ExamplesReferences0.60section
Provability logicrelated to ExamplesThe0.60section
Provability logicrelated to ExamplesGL0.60section
Provability logicrelated to ExamplesGödel0.60section
Provability logicrelated to ExamplesLöb0.60section
Provability logicrelated to ExamplesK4W0.60section
Provability logicrelated to ExamplesIt0.60section
Provability logicrelated to ExamplesLöb's0.60section
Provability logicrelated to ExamplesK40.60section
Provability logicrelated to ExamplesNamely0.60section

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