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About: Permutation automaton     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPermutations, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Abstraction100002137yago:Change107296428yago:Communication100033020yago:Event100029378yago:Happening107283608yago:Language106282651yago:PsychologicalFeature100023100yago:YagoPermanentlyLocatedEntityyago:Substitution107443761yago:Variation107337390yago:WikicatFormalLanguagesyago:WikicatPermutations New Facet based on Instances of this Class

In automata theory, a permutation automaton, or pure-group automaton, is a deterministic finite automaton such that each input symbol permutes the set of states. Formally, a deterministic finite automaton A may be defined by the tuple (Q, Σ, δ, q0, F),where Q is the set of states of the automaton, Σ is the set of input symbols, δ is the transition function that takes a state q and an input symbol x to a new state δ(q,x), q0 is the initial state of the automaton, and F is the set of accepting states (also: final states) of the automaton. A is a permutation automaton if and only if, for every two distinct states qi and qj in Q and every input symbol x in Σ, δ(qi,x) ≠ δ(qj,x).