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Published in:
2009 | OriginalPaper | Chapter
State Complexity of Combined Operations for Prefix-Free Regular Languages
Authors : Yo-Sub Han, Kai Salomaa, Sheng Yu
Published in: Language and Automata Theory and Applications
Publisher: Springer Berlin Heidelberg
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We investigate the state complexity of combined operations for prefix-free regular languages. Prefix-free minimal deterministic finite-state automata have a unique structural property that plays an important role to obtain the precise state complexity of basic operations. Based on the same property, we establish the precise state complexity of four combined operations: star-of-union, star-of-intersection, star-of-reversal and star-of-catenation.