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  1. Profiniteness in finitely generated varieties is undecidable.Anvar M. Nurakunov & Michał M. Stronkowski - 2018 - Journal of Symbolic Logic 83 (4):1566-1578.
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  • Relation Formulas for Protoalgebraic Equality Free Quasivarieties; Pałasińska’s Theorem Revisited.Anvar M. Nurakunov & Michał M. Stronkowski - 2013 - Studia Logica 101 (4):827-847.
    We provide a new proof of the following Pałasińska's theorem: Every finitely generated protoalgebraic relation distributive equality free quasivariety is finitely axiomatizable. The main tool we use are ${\mathcal{Q}}$ Q -relation formulas for a protoalgebraic equality free quasivariety ${\mathcal{Q}}$ Q . They are the counterparts of the congruence formulas used for describing the generation of congruences in algebras. Having this tool in hand, we prove a finite axiomatization theorem for ${\mathcal{Q}}$ Q when it has definable principal ${\mathcal{Q}}$ Q -subrelations. This (...)
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