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  2. Deterministic finite automaton - Wikipedia

    en.wikipedia.org/wiki/Deterministic_finite_automaton

    The figure illustrates a deterministic finite automaton using a state diagram. In this example automaton, there are three states: S 0, S 1, and S 2 (denoted graphically by circles). The automaton takes a finite sequence of 0s and 1s as input. For each state, there is a transition arrow leading out to a next state for both 0 and 1.

  3. Deterministic automaton - Wikipedia

    en.wikipedia.org/wiki/Deterministic_automaton

    In computer science, a deterministic automaton is a concept of automata theory where the outcome of a transition from one state to another is determined by the input. [ 1 ] : 41 A common deterministic automaton is a deterministic finite automaton (DFA) which is a finite state machine, where for each pair of state and input symbol there is one ...

  4. Finite-state machine - Wikipedia

    en.wikipedia.org/wiki/Finite-state_machine

    In a non-deterministic automaton, an input can lead to one, more than one, or no transition for a given state. The powerset construction algorithm can transform any nondeterministic automaton into a (usually more complex) deterministic automaton with identical functionality. A finite-state machine with only one state is called a "combinatorial ...

  5. Powerset construction - Wikipedia

    en.wikipedia.org/wiki/Powerset_construction

    In the theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic finite automaton (NFA) into a deterministic finite automaton (DFA) which recognizes the same formal language. It is important in theory because it establishes that NFAs, despite their ...

  6. Automata theory - Wikipedia

    en.wikipedia.org/wiki/Automata_theory

    Deterministic: For a given current state and an input symbol, if an automaton can only jump to one and only one state then it is a deterministic automaton. Nondeterministic : An automaton that, after reading an input symbol, may jump into any of a number of states, as licensed by its transition relation.

  7. Separating words problem - Wikipedia

    en.wikipedia.org/wiki/Separating_words_problem

    The problem of bounding the size of an automaton that distinguishes two given strings was first formulated by Goralčík & Koubek (1986), who showed that the automaton size is always sublinear. [2] Later, Robson (1989) proved the upper bound O(n 2/5 (log n) 3/5) on the automaton size that may be required. [3]

  8. Deterministic acyclic finite state automaton - Wikipedia

    en.wikipedia.org/wiki/Deterministic_acyclic...

    In computer science, a deterministic acyclic finite state automaton (DAFSA), [1] is a data structure that represents a set of strings, and allows for a query operation that tests whether a given string belongs to the set in time proportional to its length. Algorithms exist to construct and maintain such automata, [1] while keeping them minimal.

  9. Read-only Turing machine - Wikipedia

    en.wikipedia.org/wiki/Read-only_Turing_machine

    A read-only Turing machine or two-way deterministic finite-state automaton (2DFA) is class of models of computability that behave like a standard Turing machine and can move in both directions across input, except cannot write to its input tape.