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 ...

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.

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 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 ...

I emphasise that a characterisation of algorithmicity such as the Turing machine is iterative; and I argue that if the human mind can solve problems that no Turing machine can, the mind must depend on ...

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.