Well quasi-orders and the shuffle closure of finite sets

Computer Science – Discrete Mathematics

Scientific paper

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Scientific paper

Given a set I of word, the set of all words obtained by the shuffle of
(copies of) words of I is naturally provided with a partial order. In [FS05],
the authors have opened the problem of the characterization of the finite sets
I such that the order is a well quasi-order . In this paper we give an answer
in the case when I consists of a single word w.

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