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A property of three-element codes

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STACS 84 (STACS 1984)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 166))

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Abstract

Let w be a word and A a language of a finitely generated free monoid Σ*. We say that w is ambiguously covered by A if there exist words α and β in A, with α ≠ β, such that w ε pref(αA+) ∑ pref(βA+). We show that if A is a three-element code then any two words which are ambiguously covered by A are comparable, i.e., one of them is a prefix of another. This property is characteristic for three-element codes.

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References

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M. Fontet K. Mehlhorn

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© 1984 Springer-Verlag Berlin Heidelberg

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Karhumäki, J. (1984). A property of three-element codes. In: Fontet, M., Mehlhorn, K. (eds) STACS 84. STACS 1984. Lecture Notes in Computer Science, vol 166. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12920-0_28

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  • DOI: https://doi.org/10.1007/3-540-12920-0_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12920-2

  • Online ISBN: 978-3-540-38805-0

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