Rewriting as a Special Case of Noncommutative Groebner Basis Theory

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77947Rewriting for semigroups is a special case of Groebner basis theory for noncommutative polynomial algebras. The fact is a kind of folklore but is not fully recognised. The aim of this paper is to elucidate this relationship, showing that the noncommutative Buchberger algorithm corresponds step-by-step to the Knuth-Bendix completion procedure.article, 4 pages, LaTeX2eCombinatorics68Q42 (Primary) 16S15; 68Q40 (Secondary)Rewriting as a Special Case of Noncommutative Groebner Basis Theorytext