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arxiv: 1610.09847 · v2 · pith:OKPKVBQVnew · submitted 2016-10-31 · 🧮 math.CO · cs.FL· cs.LO· math.RT

Representing regular pseudocomplemented Kleene algebras by tolerance-based rough sets

classification 🧮 math.CO cs.FLcs.LOmath.RT
keywords kleenealgebrapseudocomplementedregularroughalgebraicalgebrascovering
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We show that any regular pseudocomplemented Kleene algebra defined on an algebraic lattice is isomorphic to a rough set Kleene algebra determined by a tolerance induced by an irredundant covering.

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