9 Testing Theory for Probabilistic Systems

Abstract

The aim of this chapter is to give a survey of testing relations for probabilistic systems. We summarize the relevant material on probabilistic extensions of the work of De Nicola and Hennessy [dNH84] who defined implementation relations for nondeterministic processes based on a notion of testing (see also Chapter 5). We mainly concentrate on the relative expressive power of the different preorders. All presented relations are primarily of theoretical interest and to the best of our knowledge their usefulness in practical applications has not been shown yet.