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The painstaking process of formalization to verify proofs is starting to surge thanks to AI. That could radically change the way people do math.
Yahoo: Mathematicians Wrote a Proof for a 100-Year-Old Problem—and May Have Just Changed Geometry
Mathematicians Wrote a Proof for a 100-Year-Old Problem—and May Have Just Changed Geometry
A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...
Quanta Magazine: To Have Machines Make Math Proofs, Turn Them Into a Puzzle
Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His proofs have been called “disgusting,” but they go beyond what any human can do ...
Quanta Magazine: New Proof Threads the Needle on a Sticky Geometry Problem
In 1917, the Japanese mathematician Sōichi Kakeya posed what at first seemed like nothing more than a fun exercise in geometry. Lay an infinitely thin, inch-long needle on a flat surface, then rotate ...
The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...
Wired: A New Proof Moves the Needle on a Sticky Geometry Problem
Scientific American: Can Writing Math Proofs Teach AI to Reason Like Humans?
On Thursday, Google DeepMind announced that AI systems called AlphaProof and AlphaGeometry 2 reportedly solved four out of six problems from this year’s International Mathematical Olympiad (IMO), ...