Deterministic automaton

Deterministic automaton

Deterministic automaton is a concept of automata theory in which the outcome of a transition from one state to another given a certain input can be predicted for every occurrence.

A common deterministic automaton is a deterministic finite state machine (sometimes referred to as a deterministic finite automaton (DFA)) which is a finite state machine where for each pair of state and input symbol there is one and only one transition to a next state. DFAs recognize the set of regular languages and no other languages.

In computer science, it is referred to as deterministic computation. An example is a deterministic finite state machine which is a finite state machine where for each pair of state and input symbol there is one and only one transition to a next state. DFAs recognize the set of regular languages and no other languages.

The standard way to build a deterministic finite state machine from a nondeterministic finite state machine is the powerset construction.