What if, no matter how strong your password was, a hacker could crack it just as easily as you can type it? In fact, what if all sorts of puzzles we thought were hard turned out to be easy?

\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'') ...

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 ...

In experiments, researchers showed that the disease-spreading insects couldn’t resist the sweet smell of a fungus that infected and killed them. By Jason P. Dinh Watch your back, DEET. There’s a new ...

Complexity theory remains one of the great unsolved mathematical puzzles. Kenneth Regan is trying to figure it out. Kenneth Regan paused at lunch in New York to glance at incoming texts from top ...

The distinction between problems whose solutions can be quickly verified (NP) and quickly solved (P) is a foundational question in computer science and mathematics. The mainstream assumption is P≠NP.