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arXiv · 1910.05556

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

Dmitry Shkatov·C. J. Van Alten
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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.

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Dmitry Shkatov, C. J. Van Alten. 2019-10-12. Complexity of the universal theory of bounded residuated distributive lattice-ordered groupoids. https://doi.org/10.1007/s00012-019-0609-1

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