Computational complexity theory examines the intrinsic difficulty of algorithmic problems by classifying them into hierarchies according to the resources—typically time and space—required for their ...

Computability theory establishes which problems can in principle be solved by mechanical procedures, formalised by the Turing machine model and its equivalents. It draws a firm boundary between ...

Pose a question to a Magic 8 Ball, and it’ll answer yes, no or something annoyingly indecisive. We think of it as a kid’s toy, but theoretical computer scientists employ a similar tool. They often ...

The original version of this story appeared in Quanta Magazine. They say a bird in the hand is worth two in the bush, but for computer scientists, two birds in a hole are better still. That’s because ...

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 ...

Your institution does not have access to this book on JSTOR. Try searching on JSTOR for other items related to this book. 1 INTRODUCTION: WHAT CAN AND CANNOT BE ...

MIP * = RE is not a typo. It is a groundbreaking discovery and the catchy title of a recent paper in the field of quantum complexity theory. Complexity theory is a zoo of “complexity classes” – ...

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 ...