Complexity theory is a fundamental branch of theoretical computer science that categorises computational problems according to their inherent difficulty and the resources required to solve them. At ...

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 ...

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 ...

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 ...

For 20 years, a computational complexity theory researcher has posted updates about his work on his blog, Shtetl-Optimized. Last week, a Sept. 27 blog post he made about his recent findings began ...

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 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 ...

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 ...

Complexity theory is a branch of computer science that studies the resources required to solve computational problems, particularly focusing on the classification of problems based on their inherent ...