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Automata on Words

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Book cover Implementation and Application of Automata (CIAA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2759))

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Supported by the Academy of Finland under the grants 44087 and 202251.

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References

  1. J. Berstel, Transductions and Context-Free Languages, Teubner, 1979.

    Google Scholar 

  2. J. Berstel and D. Perrin, Theory of Codes, Academic Press, 1985.

    Google Scholar 

  3. J. Cassaigne, T. Harju, and J. Karhumäki, On the undecidability of freeness of matrix semigroups, Intern. J. Alg. & Comp. 9, 295–305, 1999.

    Article  MATH  Google Scholar 

  4. C. Choffrut, T. Harju, and J. Karhumäki, A note on decidability questions on presentations of word semigroups, Theoret. Comput. Sci. 183, 83–92, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  5. C. Choffrut and J. Karhumäki, Combinatorics of words, In: A. Salomaa and G. Rozenberg (eds.), Handbook of Formal Languages, Vol. 1, 329–438. Springer-Verlag, 1997.

    Google Scholar 

  6. M. Crochemore and W. Rytter, Text Algorithms, Oxford University Press, 1994.

    Google Scholar 

  7. A. de Luca and S. Varricchio, Finiteness and Regularity in Semigroups and Formal Languages, Springer-Verlag, 1999.

    Google Scholar 

  8. J. E. Hopcroft and J.D. Ullman, Introduction to Automata Theory, Languages and Computation, Addison-Wesley, 1979.

    Google Scholar 

  9. J. Karhumäki, A. Lepistö, and W. Plandowski, Locally periodic infinite words and a chaotic behaviour, J. Comb. Theor., Ser. A 100, 250–264, 2002.

    Article  MATH  Google Scholar 

  10. A. Lepistö, On Relations between Local and Global Periodicity, Ph.D. Thesis, University of Turku, TUCS Dissertations 43, 2002.

    Google Scholar 

  11. M. Lothaire, Combinatorics on Words, Encyclopedia of Mathematics 17, Addison-Wesley, 1983. Reprinted in the Cambridge Mathematical Library, Cambridge University Press, 1997.

    Google Scholar 

  12. M. Lothaire, Algebraic Combinatorics on Words. Encyclopedia of Mathematics 90, Cambridge University Press, 2002.

    Google Scholar 

  13. J. Karhumäki, Applications of finite automata, Invited talk of MFCS02, LNCS 2420, 40–58, Springer-Verlag, 2002.

    Google Scholar 

  14. F. Mignosi, A. Restivo, and S. Salemi, A periodicity theorem on words and applications, In: J. Wiedermann and P. Hajek (Eds.), Mathematical Foundations of Computer Science 1995, LNCS 969, 337–348, Springer-Verlag, 1995.

    Google Scholar 

  15. F. Mignosi, A. Restivo, and S. Salemi, Periodicity and golden ratio, Theoret. Comput. Sci. 204, 153–167, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  16. A. Restivo and C. Reutenauer, Some applications of a theorem of Shirshov to language theory, Information and Control 57, 205–213, 1983.

    Article  MATH  MathSciNet  Google Scholar 

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Karhumäki, J. (2003). Automata on Words. In: Ibarra, O.H., Dang, Z. (eds) Implementation and Application of Automata. CIAA 2003. Lecture Notes in Computer Science, vol 2759. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45089-0_2

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  • DOI: https://doi.org/10.1007/3-540-45089-0_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40561-0

  • Online ISBN: 978-3-540-45089-4

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