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 ...

Regular expressions. Closure properties. Sequential machines and finite state transducers. State minimization. Chomsky hierarchy grammars, pushdown acceptors and linear bounded automata. Closure ...

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 ...

The brilliant English mathematician Alan Turing cracked German codes in WWII, revolutionized computer science—and foresaw the moral questions of modern technology. One of Alan Turing's many ...