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 original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

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 ...

One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling discovery about the relationship between time and memory in computing.

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 ...

An international team of researchers has developed a new theoretical framework that bridges physics and biology to provide a unified approach for understanding how complexity and evolution emerge in ...