Finite orbits of language operations

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Abstract

We consider a set of natural operations on languages, and prove that the orbit of any language L under the monoid generated by this set is finite and bounded, independently of L. This generalizes previous results about complement, Kleene closure, and positive closure. © 2011 Springer-Verlag.

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Charlier, É., Domaratzki, M., Harju, T., & Shallit, J. (2011). Finite orbits of language operations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6638 LNCS, pp. 204–215). Springer Verlag. https://doi.org/10.1007/978-3-642-21254-3_15

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