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#löb's_theorem

Löb's theorem

Provability logic

In mathematical logic, Löb's theorem states that in Peano arithmetic (PA) (or any formal system including PA), for any formula P, if it is provable in PA that "if P is provable in PA then P is true", then P is provable in PA. If Prov(P) means that the formula P is provable, we may express this more formally asIf then .

Wed 29th

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Löb's theorem Martin Löb Theorem Provability logic Gödel's incompleteness theorems Curry's paradox Doxastic logic List of theorems List of mathematical logic topics Machine Intelligence Research Institute
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