A Probabilitistic Theory of Interactive Systems

The aim of this dissertation is to provide foundations for the specification and development of interactive systems in consideration of probabilistic effects. We develop a theory of probabilistic and interactive systems based on probability theory and the Focus theory for interactive systems. The notions of composition, specification and properties thereof like realizability are adapted to the probabilistic case. We discuss the interaction of nondeterministic and probabilistic systems as well as provide the framework for their integration. The thesis finishes with the formalization of various description techniques and of activities during the development of software systems using probabilistic models.