Abstract
We consider decompositions of factorial languages to concatenations of factorial languages and prove that if the factorial language is regular, then so are the factors of its canonical decomposition.
The work is supported by RFBR grants 03-01-00796 and 05-01-00364.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Avgustinovich, S.V., Frid, A.E.: A unique decomposition theorem for factorial languages. Internat. J. Algebra Comput. 15, 149–160 (2005)
Conway, J.H.: Regular Algebra and Finite Machines. Chapman and Hall, Boca Raton (1971)
Kunc, M.: The power of commuting with finite sets of words. In: Diekert, V., Durand, B. (eds.) STACS 2005. LNCS, vol. 3404, pp. 569–580. Springer, Heidelberg (2005)
Sakarovitch, J.: Elements de theorie des automates, Vuibert (2003)
Salomaa, A., Yu, S.: On the decomposition of finite languages. In: Developments in Language Theory. Foundations, Applications, Perspectives, pp. 22–31. World Scientific, Singapore (2000)
Shur, A.M.: Subword complexity of rational languages. Discrete Analisys and Operation Research 12(2), 78–99 (2005) (in Russian)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Avgustinovich, S.V., Frid, A.E. (2006). Canonical Decomposition of a Regular Factorial Language. In: Grigoriev, D., Harrison, J., Hirsch, E.A. (eds) Computer Science – Theory and Applications. CSR 2006. Lecture Notes in Computer Science, vol 3967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11753728_5
Download citation
DOI: https://doi.org/10.1007/11753728_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34166-6
Online ISBN: 978-3-540-34168-0
eBook Packages: Computer ScienceComputer Science (R0)