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arXiv · 2203.06535

Well quasi-orders arising from finite ordered semigroups

Ondřej Klíma·Jonatan Kolegar
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Abstract

In 1985, Bucher, Ehrenfeucht and Haussler studied derivation relations associated with a given set of context-free rules. Their research motivated a question regarding homomorphisms from the semigroup of all words onto a finite ordered semigroup. The question is which of these homomorphisms induce a well quasi-order on the set of all words. We show that this problem is decidable and the answer does not depend on the homomorphism, but it is a property of the ordered semigroup.

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Ondřej Klíma, Jonatan Kolegar. 2022-03-12. Well quasi-orders arising from finite ordered semigroups. https://arxiv.org/abs/2203.06535

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