From distributions to probabilistic reactive programs

We have introduced probability in the UTP framework by using functions from the state space to real numbers, which we term distributions, that are embedded in the predicates describing the di er- ent program constructs. This has allowed us to derive a probabilistic theory of designs starting from a probabilistic version of the relational theory, and continuing further down this road we can get to a theory of probabilistic reactive programs. This paper presents the route that connects these steps, and discusses the challenges lying ahead in view of a probabilistic CSP based on distributions.