AI systems are beginning to produce proof ideas that experts take seriously, even when final acceptance is still pending.

Print Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal reasoning.

What proof would truly confirm Satoshi Nakamoto’s identity? Explore why cryptographic keys, not claims or documents, are the ...

The race is on to develop an artificial intelligence that can do pure mathematics, and top mathematicians just threw down the gauntlet with an exam of actual, unsolved problems that are relevant to ...

Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they ...

Abstract: In the world of computing, there exists a wide variety of direct and indirect proof techniques for proving new results and propositions. Among the persisting proof techniques, Mathematical ...

Chinese artificial intelligence company DeepSeek has released a mathematical reasoning model that can identify and correct its own errors. The model beat the best human score in one of the world’s ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

Mathematical proof debunks the idea that the universe is a computer simulation by Patty Wellborn, University of British Columbia edited by Gaby Clark, reviewed by Robert Egan Editors' notes The GIST ...

Pittsburgh, Pennsylvania, U.S.A. Proof by Mathematical Induction presents the Automated Deduction community with some very challenging research problems. The aim of this one day workshop is to create ...