RSF is a formalism for specifying and prototyping systems with time constraints. Specifications are given via a set of transition rules. The application of a transition rule is dependent upon certain events. The occurrence times of the events and the data associated with them must satisfy given properties. As a consequence of the application of a rule, some events are generated and others are scheduled to occur in the future, after given intervals of time. Specifications can be queried, and the computation of answers to queries provides a generalized form of rapid prototyping. Executability is obtained by mapping the RSF rules into logic programming. The rationale, a definition of the formalism, the execution techniques which support the general notion of rapid prototyping and a few examples of its use are presented.>