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Commutation of Binary Factorial Languages

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Developments in Language Theory (DLT 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4588))

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Abstract

We solve the commutation equation AB = BA for binary factorial languages A and B. As we show, the situations when such languages commute can be naturally classified. The result is based on the existence and uniqueness of a canonical decomposition of a factorial language, proved by S. V. Avgustinovich and the author in 2005. It continues investigation of the semigroup of factorial languages.

Supported in part by RFBR grants 05-01-00364 and 06-01-00694.

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References

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Tero Harju Juhani Karhumäki Arto Lepistö

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© 2007 Springer-Verlag Berlin Heidelberg

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Frid, A.E. (2007). Commutation of Binary Factorial Languages. In: Harju, T., Karhumäki, J., Lepistö, A. (eds) Developments in Language Theory. DLT 2007. Lecture Notes in Computer Science, vol 4588. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73208-2_20

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  • DOI: https://doi.org/10.1007/978-3-540-73208-2_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73207-5

  • Online ISBN: 978-3-540-73208-2

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