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arXiv · 1002.1928

On the Minimal Uncompletable Word Problem

Gabriele Fici·Elena V. Pribavkina·Jacques Sakarovitch
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Abstract

Let S be a finite set of words over an alphabet Sigma. The set S is said to be complete if every word w over the alphabet Sigma is a factor of some element of S*, i.e. w belongs to Fact(S*). Otherwise if S is not complete, we are interested in finding bounds on the minimal length of words in Sigma* which are not elements of Fact(S*) in terms of the maximal length of words in S.

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Gabriele Fici, Elena V. Pribavkina, Jacques Sakarovitch. 2010-04-23. On the Minimal Uncompletable Word Problem. https://arxiv.org/abs/1002.1928

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