In computer science, automata theory is the study of mathematical operations known as abstract machines or automata and the computational problems that may be solved taking them. Automata define from the Greek word meaning "self-acting".
The figure at right explains a finite state machine, which relates to one well-known variety of automaton. That automaton consists of states (shown in the figure by circles), and transitions (shown by arrows). As the automaton defines a symbol of input, it creates a transition (or jump) to other state, related to its transition function (which takes the current state and the current symbol as its inputs).
Automata theory is also nearly related to formal language theory. An automaton is a finite showing of a formal language that can be an infinite set. Automata are often defined by the class of formal languages they are able to distinguish.
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