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arxiv: 1408.2842 · v1 · pith:NSFB6QTCnew · submitted 2014-08-12 · 💻 cs.FL

Star-free languages and local divisors

classification 💻 cs.FL
keywords divisorslocalstar-freeaperiodiccelebratedfinitegivelanguage
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A celebrated result of Sch\"utzenberger says that a language is star-free if and only if it is is recognized by a finite aperiodic monoid. We give a new proof for this theorem using local divisors.

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