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Kleene Algebras as Sequences of Orthopairs

  • Stefania BoffaEmail author
  • Brunella Gerla
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 641)

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.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Università dell’ InsubriaVareseItaly

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