English

Complexity of the universal theory of bounded residuated distributive lattice-ordered groupoids

Logic 2019-10-17 v1 Logic in Computer Science

Abstract

We prove that the universal theory and the quasi-equational theory of bounded residuated distributive lattice-orderegroupoids are both EXPTIME-complete. Similar results areproven for bounded distributive lattices with a unary or binary operator and for some special classes of bounded residuated distributive lattice-ordered groupoids.

Keywords

Cite

@article{arxiv.1910.05556,
  title  = {Complexity of the universal theory of bounded residuated distributive lattice-ordered groupoids},
  author = {Dmitry Shkatov and C. J. Van Alten},
  journal= {arXiv preprint arXiv:1910.05556},
  year   = {2019}
}