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  2. Finite-state machine - Wikipedia

    en.wikipedia.org/wiki/Finite-state_machine

    A finite-state machine with only one state is called a "combinatorial FSM". It only allows actions upon transition into a state. This concept is useful in cases where a number of finite-state machines are required to work together, and when it is convenient to consider a purely combinatorial part as a form of FSM to suit the design tools. [12]

  3. Automata theory - Wikipedia

    en.wikipedia.org/wiki/Automata_theory

    An automaton with a finite number of states is called a finite automaton (FA) or finite-state machine (FSM). The figure on the right illustrates a finite-state machine, which is a well-known type of automaton. This automaton consists of states (represented in the figure by circles) and transitions (represented by arrows).

  4. Nondeterministic finite automaton - Wikipedia

    en.wikipedia.org/wiki/Nondeterministic_finite...

    On the consumption of the last input symbol, if one of the current states is a final state, the machine accepts the string. A string of length n can be processed in time O(ns 2), [15] and space O(s). Create multiple copies. For each n way decision, the NFA creates up to n−1 copies of the machine. Each will enter a separate state.

  5. List of undecidable problems - Wikipedia

    en.wikipedia.org/wiki/List_of_undecidable_problems

    Rule 110 - most questions involving "can property X appear later" are undecidable. The problem of determining whether a quantum mechanical system has a spectral gap. [8] [9] Finding the capacity of an information-stable finite state machine channel. [10] In network coding, determining whether a network is solvable. [11] [12]

  6. Moore machine - Wikipedia

    en.wikipedia.org/wiki/Moore_machine

    As Moore and Mealy machines are both types of finite-state machines, they are equally expressive: either type can be used to parse a regular language.. The difference between Moore machines and Mealy machines is that in the latter, the output of a transition is determined by the combination of current state and current input (as the domain of ), as opposed to just the current state (as the ...

  7. State-transition table - Wikipedia

    en.wikipedia.org/wiki/State-transition_table

    There can be multiple arrows for an input character if the finite-state machine is nondeterministic. Designate a state as the start state. The start state is given in the formal definition of a finite-state machine. Designate one or more states as accepting state. This is also given in the formal definition of a finite-state machine.

  8. 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 ...

  9. State diagram - Wikipedia

    en.wikipedia.org/wiki/State_diagram

    A directed graph. A classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q 0, F): [2] [3]. Vertices Q: a finite set of states, normally represented by circles and labeled with unique designator symbols or words written inside them