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 ...

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 ...

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 ...

Algorithmic complexity and information theory are foundational disciplines that intersect to elucidate how data is structured, transmitted and computed. At its core, algorithmic complexity seeks to ...

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 ...

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 ...

Physicists know about the huge chasm between quantum physics and the theory of gravity. However, in recent decades, theoretical physics has provided some plausible conjecture to bridge this gap and to ...

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 ...