Rewriting as a Special Case of Noncommutative Groebner Basis Theory

Details Rewriting as a Special Case of Noncommutative Groebner Basis Theory Rewriting as a Special Case of Noncommutative Groebner Basis Theory

1999-01-11

arxiv.org/abs/math/9901044v1

Mathematics

Combinatorics

article, 4 pages, LaTeX2e

Scientific paper

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.

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