@Article{ die86tcs, author = "Volker Diekert", journal = "Theoretical Computer Science", pages = "199--208", title = "Complete semi-{T}hue systems for abelian groups", volume = "44", year = "1986", abstract = "We show that there are infinitely many examples of finite semi-Thue systems with decidable word problem and which have no finite equivalent noetherian and confluent (=complete) reduction system. These examples have a very simple algebraic structure: they are abelian groups. More precisely, we develop necessary and sufficient conditions for the existence of complete semi-Thue systems for presentations of finitely generated abelian groups.", doi = "10.1016/0304-3975(86)90117-9" }