We study sequences of approximations of sets given by refining tolerance relations on the universe, and we show that such sequences can be equipped with a structure of finite centered Kleene algebra satisfying the interpolation property. We further show that every such Kleene algebra is isomorphic to the algebra of sequences of approximations of subsets of a suitable universe.

Kleene algebras as sequences of orthopairs

BOFFA, STEFANIA;GERLA, BRUNELLA
2017

Abstract

We study sequences of approximations of sets given by refining tolerance relations on the universe, and we show that such sequences can be equipped with a structure of finite centered Kleene algebra satisfying the interpolation property. We further show that every such Kleene algebra is isomorphic to the algebra of sequences of approximations of subsets of a suitable universe.
9783319668291
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11383/2065859
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