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 ...

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 ...

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 ...

Daniel Lokshtanov’s work explores the limits of what computers can solve, paving the way for advances in artificial intelligence and computational efficiency.

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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 ...

The game of chess has long been central to computer science and AI-related research, most notably in IBM’s Deep Blue in the 1990s and, more recently, AlphaZero. But the game is about more than ...

Assembly theory bridges the gap between physics and biology in explaining how complex objects are identifiable as products of evolution and how reusability of parts allows novelty and identical ...

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 ...