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Some results on finite maximal codes. (English) Zbl 0578.68062
Summary: In the free monoid \(\{a,b\}^*\), we give a definition of maximality and completeness of a code with respect to the set \(T_ k\) of all words containing at most k occurrences of b. We show that the intersection of a finite maximal code with \(T_ k\) is maximal with respect to \(T_ k\), for all k. We derive some necessary conditions for a finite code to have a finite completion and we prove for these codes a ”local” version of a theorem of Schützenberger.

MSC:
68Q45 Formal languages and automata
20M35 Semigroups in automata theory, linguistics, etc.
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References:
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