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Unavoidable Set: Extension and Reduction

Published online by Cambridge University Press:  15 August 2002

Phan Trung Huy  and
Nguyen Huong Lam
Phan Trung Huy
Affiliation:
Department of Applied Mathematics, Hanoi Institute of Technology, 1 Dai Co Viet, Hanoi, Vietnam.
Nguyen Huong Lam
Affiliation:
Hanoi Institute of Mathematics, P.O. Box 631, Bo Ho, 10 000 Hanoi, Vietnam; [email protected].
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Abstract

We give an explicit criterionfor unavoidability of word sets. We characterize extendible, finitelyand infinitely as well, elements in them. We furnish a reasonable upperbound and an exponential lower bound on the maximum leghth of words in a reduced unavoidable set of agiven cardinality.

Keywords

Unavoidable setreduced unavoidable setextensionreduction.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 3 , May 1999 , pp. 213 - 225
Copyright
© EDP Sciences, 1999

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References

Schützenberger, M.-P., On the Synchronizing Properties of Certain Prefix Codes. Inform. and Control 7 (1964) 23-36. CrossRef
Aho, A.V. and Corasick, M.J., Efficient String Machines, an Aid to Bibliographic Research. Comm. ACM 18 (1975) 333-340. CrossRef
Ehrenfeucht, A., Haussler, D. and Rozengerg, G., Regularity, On of Context-free Languages. Theoret. Comput. Sci. 27 (1983) 311-332. CrossRef
Choffrut, Ch. and Culik, K. II, On Extendibility of Unavoidable Sets. Discrete Appl. Math. 9 (1984) 125-137. CrossRef
L. Rosaz, Inventories of Unavoidable Languages and the Word-Extension Conjecture, to appear.