doi:10.1016/0012-365X(95)00170-2
Copyright © 1996 Published by Elsevier Science B.V.
Note
On the descriptive power of special Thue systems
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Louxin Zhanga,
,
, Lian Lib and Jinzhao Wuc
a Department of Computer Science, University of Waterloo, Waterloo, Canada N2L 3G1
b Department of Computer Science, Lanzhou University, China
c Institute of System Science, Academia Sinica, China
Received 20 October 1993;
revised 14 March 1995.
Available online 16 February 1999.
Abstract
This paper proves two results on the descriptive power of special Thue systems. Let T be a special Thue system on A and let M(A; T) be the monoid presented by T. If the center of M(A; T) is nontrivial, then M(A; T) is the infinite cyclic monoid or a group; if M(A; T) has only a finite number of
(or
)-classes, then M(A; T) is a group.
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