Fully Abstract Characterization of Probabilistic May Testing

  • Authors:
  • Bengt Jonsson;Wang Yi

  • Affiliations:
  • -;-

  • Venue:
  • ARTS '99 Proceedings of the 5th International AMAST Workshop on Formal Methods for Real-Time and Probabilistic Systems
  • Year:
  • 1999

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Abstract

In this paper, to develop a refinement relation for probabilistic and nondeterministic systems, we study a notion of probabilistic testing, that extends the testing framework of de Nicola and Hennessy for nondeterministic processes to the probabilistic setting. We present a model of probabilistic computation trees, which corresponds to the classic trace model for non-probabilistic systems. Our main contribution is a fully abstract characterization of the may-testing preorder which is essential for the probabilistic setting. The characterization is given based on convex closures of probabilistic computation trees.