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

Abstract: Proof assistants such as Coq and LEAN have been increasingly used by renowned mathematicians to formalize and prove mathematical theorems. Despite their growing use, writing formal proofs is ...

Economists at the University of Hawaiʻi Economic Research Organization have identified a lack of high-paying jobs as a key factor driving people away from Hawaiʻi. The study highlights that it's ...

According to Greg Brockman (@gdb) and Terence Tao, GPT-5.2 Pro has reached a significant milestone by independently solving an Erdos problem—a first for large language models (LLMs). This achievement ...

In the combinatorial semi-bandit (CSB) problem, a player selects an action from a combinatorial action set and observes feedback from the base arms included in the action. While CSB is widely ...

The authors are social theorists who have long studied the roots and consequences of inequality. Aug. 15, 2025 In the early years of the 20th century, America had a “boy problem.” Boys on the street, ...

Source: Olia Danilevich / Pexels Three years ago, the public release of OpenAI’s ChatGPT, the world’s most popular large language model, signaled that the Age of Artificial Intelligence had well and ...

The International Mathematical Olympiad, established in 1959, is recognized globally as the premier mathematics competition for high school students. Each year, top students from around the world face ...

ABSTRACT: In this paper, we consider the monoid FixOCT( [ n ],D ) of all order-preserving full contraction mappings that fix a subset say D of a finite n -element chain { 1,2,⋯,n } . We characterize ...

Neural networks have long been powerful tools for handling complex data-driven tasks. Still, they often struggle to make discrete decisions under strict constraints, like routing vehicles or ...