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- Q617295 abstract "In automata theory, a finite state machine is called a deterministic finite automaton (DFA), if each of its transitions is uniquely determined by its source state and input symbol, and reading an input symbol is required for each state transition.A nondeterministic finite automaton (NFA), or nondeterministic finite state machine, does not need to obey these restrictions. In particular, every DFA is also an NFA.Using the subset construction algorithm, each NFA can be translated to an equivalent DFA, i.e. a DFA recognizing the same formal language.Like DFAs, NFAs only recognize regular languages.Sometimes the term NFA is used in a narrower sense, meaning an automaton that properly violates an above restriction, i.e. that is not a DFA.NFAs were introduced in 1959 by Michael O. Rabin and Dana Scott, who also showed their equivalence to DFAs. NFAs are used in the implementation of regular expressions: Thompson's construction is an algorithm for compiling a regular expression to an NFA that can efficiently perform pattern matching on strings.NFAs have been generalized in multiple ways, e.g., nondeterministic finite automaton with ε-moves, finite state transducers, pushdown automata, ω-automata, and probabilistic automata.".
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- Q617295 comment "In automata theory, a finite state machine is called a deterministic finite automaton (DFA), if each of its transitions is uniquely determined by its source state and input symbol, and reading an input symbol is required for each state transition.A nondeterministic finite automaton (NFA), or nondeterministic finite state machine, does not need to obey these restrictions.".
- Q617295 label "Nondeterministic finite automaton".