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The painstaking process of formalization to verify proofs is starting to surge thanks to AI. That could radically change the ...
In 2024, an AI entered the fray of the International Mathematical Olympiad (IMO). Google’s AlphaProof is part of the same Alpha group that also created AlphaFold and AlphaGo. It solved problems that ...
Mathematical logic provides a rigorous framework to analyse proofs and extract computational content, while nonexpansive mappings, which are mappings that do not increase distances between points, ...
Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...
Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...
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