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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. Two-way finite automaton - Wikipedia

    en.wikipedia.org/wiki/Two-way_finite_automaton

    A two-way deterministic finite automaton (2DFA) is an abstract machine, a generalized version of the deterministic finite automaton (DFA) which can revisit characters already processed. As in a DFA, there are a finite number of states with transitions between them based on the current character, but each transition is also labelled with a value ...

  4. 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.

  5. Finite-state machine - Wikipedia

    en.wikipedia.org/wiki/Finite-state_machine

    An FSM is defined by a list of its states, its initial state, and the inputs that trigger each transition. Finite-state machines are of two types—deterministic finite-state machines and non-deterministic finite-state machines. [2] For any non-deterministic finite-state machine, an equivalent deterministic one can be constructed.

  6. 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 ...

  7. Powerset construction - Wikipedia

    en.wikipedia.org/wiki/Powerset_construction

    A transition from {1,2,3} by input symbol 0 must follow either the arrow from state 1 to state 2, or the arrow from state 3 to state 4. Additionally, neither state 2 nor state 4 have outgoing ε-moves. Therefore, T ({1,2,3},0) = {2,4}, and by the same reasoning the full DFA constructed from the NFA is as shown below.

  8. State complexity - Wikipedia

    en.wikipedia.org/wiki/State_complexity

    State complexity is an area of theoretical computer science dealing with the size of abstract automata, such as different kinds of finite automata.The classical result in the area is that simulating an -state nondeterministic finite automaton by a deterministic finite automaton requires exactly states in the worst case.

  9. DFA minimization - Wikipedia

    en.wikipedia.org/wiki/DFA_minimization

    The state of a deterministic finite automaton = (,,,,) is unreachable if no string in exists for which = (,).In this definition, is the set of states, is the set of input symbols, is the transition function (mapping a state and an input symbol to a set of states), is its extension to strings (also known as extended transition function), is the initial state, and is the set of accepting (also ...