English

The word problem for free adequate semigroups

Rings and Algebras 2013-12-02 v1 Computational Complexity Group Theory

Abstract

We study the complexity of computation in finitely generated free left, right and two-sided adequate semigroups and monoids. We present polynomial time (quadratic in the RAM model of computation) algorithms to solve the word problem and compute normal forms in each of these, and hence also to test whether any given identity holds in the classes of left, right and/or two-sided adequate semigroups.

Keywords

Cite

@article{arxiv.1311.7523,
  title  = {The word problem for free adequate semigroups},
  author = {Mark Kambites and Alexandr Kazda},
  journal= {arXiv preprint arXiv:1311.7523},
  year   = {2013}
}

Comments

12 pages

R2 v1 2026-06-22T02:17:26.811Z