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The syntactic monoid of the semigroup generated by a comma-free code

Published online by Cambridge University Press:  14 November 2011

Mario Petrich  and
C. M. Reis
Mario Petrich
Affiliation:
Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada
C. M. Reis
Affiliation:
Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada
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Abstract

A sequence of lemmas leads to a two-fold characterisation of the syntactic monoid in the title. Some alternatives as well as special cases, in particular when the code consists of a singleton, are considered.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 165 - 179
Copyright
Copyright © Royal Society of Edinburgh 1995

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References

1Berstel, J. and Perrin, D.. Theory of Codes (New York: Academic Press, 1985).Google Scholar
2Golomb, S. W., Gordon, B. and Welch, L. R.. Comma-free codes. Canad. J. Math. 10 (1958), 202–209.CrossRefGoogle Scholar
3Petrich, M.. Introduction to Semigroups (Columbus: Merrill, 1973).Google Scholar
4Shyr, H. J.. Free Monoids and Languages (Taichung, Taiwan ROC: Hon Min Book Company, 1991).Google Scholar