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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 ...

There are "fast programs" and "slow programs".Even for programs that produce the same result, there can be a significant difference in processing time as the amount of data increases.This is where ...

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 ...

A major advance reveals deep connections between the classes of problems that computers can — and can’t — possibly do. At first glance, the big news coming out of this summer’s conference on the ...

Our research area encompasses the study of computation, computational models, computational complexity, algorithm design, algorithm verification, combinatorial optimization, computational biology and ...

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” – ...

Computational neuroscientists taught an artificial neural network to imitate a biological neuron. The result offers a new way to think about the complexity of single brain cells. Our mushy brains seem ...

The computational complexity of voting systems examines the algorithmic effort required to determine outcomes, resist strategic interventions and safeguard democratic processes. Central to this field ...