Word problem for knotted residuated lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2015 Czech Republic English Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 219, pages 1,548-1,563 (issn: 0022-4049,

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Authors: Horčík, R. (Rostislav);

doi: 10.1016/j.jpaa.2014.06.015

handle: 11104/0234838

Word problem for knotted residuated lattices

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Abstract

This paper deals with the word problem for the variety \(RL(m,n)\) of residuated lattices axiomatized by the extra equation \(x^m\leq x^n\). Negative results are shown for \(1\leq m

Country

Czech Republic

Related Organizations

Czech Academy of Sciences
Czech Republic
Academy of Sciences Library
Czech Republic

Keywords

residuated lattice, word problem, semi-Thue system, finite embeddability property, Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics), Burnside problem, residuated lattices, residuated frame, knotted rule, Ordered semigroups and monoids, square-free word, join-semilattice-ordered residuated semigroups

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