Complexity of Suffix-Free Regular Languages
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Date
2017-11-01
Authors
Brzozowski, Janusz
Szykuła, Marek
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We study various complexity properties of suffix-free regular languages. A sequence (Lk,Lk+1,…) of regular languages in some class, where n is the quotient complexity of Ln, is most complex if its languages Ln meet the complexity upper bounds for all basic measures. It is known that there exist such most complex sequences in several classes of regular languages. In contrast to this, we prove that there does not exist a most complex sequence in the class of suffix-free regular languages. However, we do exhibit two such sequences that together meet upper bounds for all basic measures.
Description
The final publication is available at Elsevier via http://dx.doi.org/10.1016/j.jcss.2017.05.011 © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords
Most complex, Regular language, State complexity, Suffix-Free, Syntactic complexity, Transition semigroup