论文标题

井是由有限有序的半群产生的准词

Well quasi-orders arising from finite ordered semigroups

论文作者

Klíma, Ondřej, Kolegar, Jonatan

论文摘要

1985年,Bucher,Ehrenfeucht和Haussler研究了与给定无上下文规则相关的推导关系。他们的研究激发了关于所有单词半群中的同态性的问题,这些词是有限有序的半群中的问题。问题是,这些同态中的哪一个在所有单词的集合上诱导了准级。我们表明,这个问题是可决定的,答案并不取决于同态,而是有序半群的属性。

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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