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On three-element codes

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Book cover Automata, Languages and Programming (ICALP 1984)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 172))

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Abstract

We show that three-element codes have some special properties which do not hold even for four-element codes. Firstly, for each three-element code A, if u and v are words in pref(xAθ) π pref(yAθ), with x, y ∈ A, x ≠ y, then one of them is a prefix of the other, i.e., among the words which can be covered in two different ways from left to right there exists a unique maximal (possibly infinite) element. Secondly, each three-element code has a bounded delay in at least one direction.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Turku, Turku, Finland

    Juhani Karhumäki

Authors
  1. Juhani Karhumäki
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Jan Paredaens

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© 1984 Springer-Verlag Berlin Heidelberg

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Karhumäki, J. (1984). On three-element codes. In: Paredaens, J. (eds) Automata, Languages and Programming. ICALP 1984. Lecture Notes in Computer Science, vol 172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13345-3_26

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  • DOI: https://doi.org/10.1007/3-540-13345-3_26

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13345-2

  • Online ISBN: 978-3-540-38886-9

  • eBook Packages: Springer Book Archive

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