In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms, any ...

The axiomatic treatment of the computational complexity of partial recursive functions initiated by Blum is extended to relatively computable functions (as computed, for example, by Turing machines ...

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” – ...

What’s easy for a computer to do, and what’s almost impossible? Those questions form the core of computational complexity. We present a map of the landscape. How fundamentally difficult is a problem?

Counting Constraint Satisfaction Problems (commonly referred to as #CSP) form a foundational framework in computational complexity theory by addressing the challenge of enumerating all possible ...

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 ...

My past research has existed in the intersection of logic and descriptive set theory with computational complexity theory. Particular topics relevant to this research have centered around oracle ...

Kolmogorov complexity uses computer science to measure the amount of information (or randomness) contained in finite objects. In addition to being interesting philosophically, Kolmogorov complexity ...