A solution to P vs NP could unlock countless computational problems—or keep them forever out of reach. 1. On Monday, July 19, 2021, in the middle of another strange pandemic summer, a leading computer ...

A UB COMPUTER scientist, Jin-Yi Cai, and a computer science graduate student, D. Sivakumar, have proven one of the oldest conjectures in the field of complexity theory. They did it using a combination ...

The most widely used technique for finding the largest or smallest values of a math function turns out to be a fundamentally difficult computational problem. Many aspects of modern applied research ...

When the Clay Mathematics Institute put individual $1-million prize bounties on seven unsolved mathematical problems, they may have undervalued one entry—by a lot. If mathematicians were to resolve, ...

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 ...

Ashutosh Trivedi is an Associate Professor of computer science at the University of Colorado Boulder. His researchinterests lie at the intersection of computer science, control theory, and machine ...

This graduate course is an introduction to computational complexity. Computational complexity studies the limits and capabilities of efficient computation, as well as tradeoffs between different ...

Researchers got a better look at the thoughts of chatbots, amateurs learned exactly how complicated simple systems can be, and quantum computers passed an essential milestone. The end of 2024 seems a ...