Rewriting as a Special Case of Noncommutative Groebner Basis Theory
Anne Heyworth · arXiv (Cornell University) · 1999
Rewriting 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.