\begin{abstract} We present a locality--audit framework for proving circuit lower bounds for NP languages. We define an explicit NP--complete language equipped with structural invariances (``audits'') ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

Source: Darren Edwards What if one of the biggest unsolved problems in mathematics is not just about numbers or computers, but about observers like you and me? This isn’t a proposed solution to P vs ...

Different elite team, same problem for Alabama men’s basketball. The Crimson Tide, which has struggled to grab rebounds in each of its losses, encountered the same fate this weekend. No. 1 Arizona ...

John Cena's final match at Saturday Night's Main Event was a fitting celebration of his career. Whether it gave fans what they wanted along the way is an entirely different discussion. The main event ...

Michigan football has problems. Michigan basketball does not. That's the beginning of our look at UCLA men's basketball when it plays Gonzaga in Seattle on Saturday. We wrote about this right after ...

Forbes contributors publish independent expert analyses and insights. Analyzing tech stocks through the prism of cultural change. The most important number for active managers in 2025 is 80. That’s ...

Everyone keeps pretending this is a tidy title defence in Dubai. It isn’t. This fight has a third man in it, even if he’s not in the building yet. Moses Itauma. Twenty years old. Heavy hands. Zero ...

Forget Kevin Patullo for a moment. The Eagles have a Jalen Hurts problem. Hurts has been lackluster all season, and he was the biggest of problems on Monday night in a 22–19 overtime loss to the ...