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On general solution of word equations

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Results and Trends in Theoretical Computer Science

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 812))

Abstract

We define in this article an approach to tackle the problem of the computation of the general solution of word equations. Parametric transformation, Nielsen's transformation and Rouen's transformation allowing to collect in one transformation some unbounded sequences of elementary transformations are given.

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References

  1. Parametric Word Equations, G.S. Makanin, and H. Abdulrab, Rapport LITP 93.43, July 93.

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  2. Transformations of Word Equations with Three Variables: Rouen's Function, G.S. Makanin, and H. Abdulrab, Rapport LITP 93.44, July 93.

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  3. Transformations Algorithm of Word Equations with Four Variables, G.S. Makanin, and H. Abdulrab, Rapport LITP 93.49, September 93.

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  4. Bunches of Formal Parametric Equations, G.S. Makanin, H. Abdulrab and M.N. Maksimenko, Rapport LITP 93.62, December 93.

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  5. Bunches of Formal Parametric Equations with Three Variables. G.S. Makanin, H. Abdulrab and M.N. Maksimenko, LIR, Research rapport, 1994.

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Juliani Karhumäki Hermann Maurer Grzegorz Rozenberg

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© 1994 Springer-Verlag Berlin Heidelberg

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Makanin, G.S., Abdulrab, H. (1994). On general solution of word equations. In: Karhumäki, J., Maurer, H., Rozenberg, G. (eds) Results and Trends in Theoretical Computer Science. Lecture Notes in Computer Science, vol 812. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58131-6_51

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  • DOI: https://doi.org/10.1007/3-540-58131-6_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58131-4

  • Online ISBN: 978-3-540-48445-5

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