On two dually nondeterministic refinement algebras

  • Authors:
  • Kim Solin

  • Affiliations:
  • Turku Centre for Computer Science, Åbo, Finland

  • Venue:
  • RelMiCS'06/AKA'06 Proceedings of the 9th international conference on Relational Methods in Computer Science, and 4th international conference on Applications of Kleene Algebra
  • Year:
  • 2006

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Abstract

A dually nondeterministic refinement algebra with a negation operator is proposed. The algebra facilitates reasoning about total-correctness preserving program transformations and nondeterministic programs. The negation operator is used to express enabledness and termination operators through a useful explicit definition. As a small application, a property of action systems is proved employing the algebra. A dually nondeterministic refinement algebra without the negation operator is also discussed.