An Improved Construction of Deterministic Omega-automaton Using Derivatives
Copyright policy )An Improved Construction of Deterministic Omega-automaton Using Derivatives
In an earlier paper, the author used derivatives to construct a deterministic automaton recognizing the language defined by an ω-regular expression. The construction was related to a determinization method invented by Safra. This paper describes a new construction, inspired by Piterman's improvement to Safra's method. It produces an automaton with fewer states. In addition, the presentation and proofs are simplified by going via a nondeterministic automaton having derivatives as states.
deterministic Omega-automaton, Safra's method, derivatives, Formal languages and automata, determinization, \(\omega\)-regular expression
deterministic Omega-automaton, Safra's method, derivatives, Formal languages and automata, determinization, \(\omega\)-regular expression
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