Parikh-reducing Church-Rosser representations for some classes of regular languages
Formal Languages and Automata Theory
2017-03-30 v1
Abstract
In this paper the concept of Parikh-reducing Church-Rosser systems is studied. It is shown that for two classes of regular languages there exist such systems which describe the languages using finitely many equivalence classes of the rewriting system. The two classes are: 1.) the class of all regular languages such that the syntactic monoid contains only abelian groups and 2.) the class of all group languages over a two-letter alphabet. The construction of the systems yield a monoid representation such that all subgroups are abelian. Additionally, the complexity of those representations is studied.
Keywords
Cite
@article{arxiv.1703.10056,
title = {Parikh-reducing Church-Rosser representations for some classes of regular languages},
author = {Tobias Walter},
journal= {arXiv preprint arXiv:1703.10056},
year = {2017}
}