On the star-height of subword counting languages and their relationship to Rees zero-matrix semigroups
Abstract
Given a word w over a finite alphabet, we consider, in three special cases, the generalised star-height of the languages in which w occurs as a contiguous subword (factor) an exact number of times and of the languages in which w occurs as a contiguous subword modulo a fixed number, and prove that in each case it is at most one. We use these combinatorial results to show that any language recognised by a Rees (zero-)matrix semigroup over an abelian group is of generalised star-height at most one.
Citation
Bourne , T & Ruškuc , N 2016 , ' On the star-height of subword counting languages and their relationship to Rees zero-matrix semigroups ' , Theoretical Computer Science , vol. 653 , pp. 87-96 . https://doi.org/10.1016/j.tcs.2016.09.024
Publication
Theoretical Computer Science
Status
Peer reviewed
ISSN
0304-3975Type
Journal article
Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.