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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© 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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Online ISBN: 978-3-540-38886-9
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