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Relation formulas for protoalgebraic equality free quasivarieties; Pałasińska's theorem revisited - MaRDI portal

Relation formulas for protoalgebraic equality free quasivarieties; Pałasińska's theorem revisited (Q368481)

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scientific article; zbMATH DE number 6210415
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Relation formulas for protoalgebraic equality free quasivarieties; Pałasińska's theorem revisited
scientific article; zbMATH DE number 6210415

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    Relation formulas for protoalgebraic equality free quasivarieties; Pałasińska's theorem revisited (English)
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    23 September 2013
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    Following a remarkable theorem of Katarzyna Pałasińska: Every finitely generated protoalgebraic relation distributive equality free quasivariety is finitely axiomatizable, by applying the technique of definable principal Q-subrelations, the authors provide a new proof of this theorem. (Much effort was made by Blok, Pigozzi and Czelakowski to prove finite axiomatization results for deductive systems before Pałasińska obtained her theorem!)
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    equality-free quasivariety
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    protoalgebraicity
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    relation distributivity
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    finite axiomatization
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    relation formulas
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    definable principal subrelations
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