Permutation Automaton
Permutation, Automata Theory, Formal Language
978-613-8-91375-7
6138913752
100
2011-12-17
34.00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 (S, I, δ, s0, F) where S is the set of states of the automaton, I is the set of input symbols, δ is the transition function that takes a state s and an input symbol x to a new state δ(s,x), s0 is the initial state of the automaton, and F is the set of accepting or final states of the automaton. A is a permutation automaton if and only if, for every two distinct states si and sj in S and every input symbol x in I, δ(si,x) ≠ δ(sj,x).
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