Automatic presentations for semigroups
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This paper applies the concept of FA-presentable structures to semigroups. We give a complete classification of the finitely generated FA-presentable cancellative semigroups: namely, a finitely generated cancellative semigroup is FA-presentable if and only if it is a subsemigroup of a virtually abelian group. We prove that all finitely generated commutative semigroups are FA-presentable. We give a complete list of FA-presentable one-relation semigroups and compare the classes of FA-presentable semigroups and automatic semigroups. (C) 2009 Elsevier Inc. All rights reserved.
Cain , A J , Oliver , G , Ruskuc , N & Thomas , R M 2009 , ' Automatic presentations for semigroups ' Information and Computation , vol 207 , no. 11 , pp. 1156-1168 . DOI: 10.1016/j.ic.2009.02.005
Information and Computation
This is an author version of this article. The published version (c) 2009 Elsevier Inc. is available at www.sciencedirect.com
Special Issue: 2nd International Conference on Language and Automata Theory and Applications (LATA 2008)
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