Lance Fortnow on the current status and future outlook of solving the P-NP problem.

A months-old but until now overlooked study recently featured in Wired claims to mathematically prove that large language models “are incapable of carrying out computational and agentic tasks beyond a ...

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 ...

NP-complete problems, including optimal routing, scheduling and network design, are foundational to essential tasks across various industries. However, they actually pose challenges for conventional ...

The original version of this story appeared in Quanta Magazine. They say a bird in the hand is worth two in the bush, but for computer scientists, two birds in a hole are better still. That’s because ...

They say a bird in the hand is worth two in the bush, but for computer scientists, two birds in a hole are better still. That’s because those cohabiting birds are the protagonists of a deceptively ...

Abstract: Although NP-complete problems have solutions that can be verified in polynomial time, their exponential computational complexity presents significant challenges for classical computing ...

Set of problems from the contents of Design and Analysis of Algorithms. Complexity Theory, Dynamic Programming, Greedy, Flow, Divide and Conquer ...

ABSTRACT: We present a new perspective on the P vs NP problem by demonstrating that its answer is inherently observer-dependent in curved spacetime, revealing an oversight in the classical formulation ...