On the representation of kleene algebras with tests

  • Authors:
  • Dexter Kozen

  • Affiliations:
  • Department of Computer Science, Cornell University, Ithaca, New York

  • Venue:
  • MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
  • Year:
  • 2006

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Abstract

We investigate conditions under which a given Kleene algebra with tests is isomorphic to an algebra of binary relations. Two simple separation properties are identified that, along with star-continuity, are sufficient for nonstandard relational representation. An algebraic condition is identified that is necessary and sufficient for the construction to produce a standard representation.