When computer scientists hang out at cocktail parties, they're apt to chat, among other things, about the single most important unsolved problem in computer science: the question, Does P = NP?

Last week, HP Labs mathematician Vinay Deolalikar started circulating a startling paper that claims to have solved the preeminent open problem in computer science, known as P = NP. Er, more accurately ...

A new proof, published to the Web less than one week ago, purports to finally demonstrate that, in complexity theory, P != NP. As fast as the proof went up though, people found some potential issues ...

According to computational complexity theory, mathematical problems have different levels of difficulty in the context of their solvability. While a classical computer can solve some problems (P) in ...

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 ...

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 ...

In the realm of theoretical computer science, the concept of computational limits—boundaries that define what problems can or cannot be solved efficiently—is fundamental. These limits not only shape ...

Thousands of notoriously difficult problems in computer science are actually the same problem in disguise If you're enjoying this article, consider supporting our award-winning journalism by ...

Last summer, three researchers took a small step toward answering one of the most important questions in theoretical computer science. To paraphrase Avi Wigderson of the Institute for Advanced Study, ...