Mathematicians have long relied on a theorem that appears undeniably true, yet every attempt to formally prove it collapses.

Talia Ringer is in the Siebel School of Computing and Data Science, University of Illinois at Urbana–Champaign, Urbana, Illinois, 61801, USA. Read the paper: Olympiad-level formal mathematical ...

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact ...

But primes are often considered the building blocks of mathematics, and math itself is the scaffolding that supports ...

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 ...

Video-based anomaly detection in urban surveillance faces a fundamental challenge: scale-projective ambiguity. This occurs ...

In the past two decades, computers have gradually toppled human champions in games of perfect information. It mastered checkers, then chess (Deep Blue), and finally, the profoundly complex game of Go ...

Abstract: The book under review, is for senior undergraduate and graduate students in engineering, the physical sciences, and applied mathematics. In the course of reading the text, it becomes clear ...

If you prefer to use the plugin directly with the Coq theorem prover without the vscode extension for Waterproof, for instance, one can install the coq-waterproof plugin in the following way. First ...