Automata Theory: The branch of computation theory that studies abstract machines and the problems they can solve. Turing Machine: An abstract computational model that manipulates symbols on a tape ...

Turing Award Avi Wigderson, Complexity Theory Pioneer, Wins Turing Award The prolific researcher found deep connections between randomness and computation and spent a career influencing cryptographers ...

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… ...

The theory of computation has had a profound influence on philosophical thinking. But computational complexity theory is about to have an even bigger effect, argues one computer scientist.

The connection between a Turing-complete machine and an algorithm pervades the computational complexity paradigm. Due to the Boolean/binary (0,1) nature of the electrical storage of memory, the ...

Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be computable, creating the field of ...

In this paper I discuss the topics of mechanism and algorithmicity. I emphasise that a characterisation of algorithmicity such as the Turing machine is iterative; and I argue that if the human mind ...

And Kurt Gödel worked on the incompleteness theory and recursive function theory. Turing employed the work of both mathematicians to create a conceptual computing machine.

Charles Darwin and Alan Turing, in their different ways, both homed in on the same idea: the existence of competence without comprehension.

Turing Machine: An abstract computational model that manipulates symbols on a tape according to a set of algorithmic rules.