Deriving Real-Time Programs from Duration Calculus Specifications

In this paper we present a syntactical approach for deriving real-time programs from a formal specification of the requirements of real-time systems. The main idea of our approach is to model discretization at state level by introducing the discrete states approximating the continuous ones, and then derive a specification of the control program over discrete states. Then the control program is derived from its specification using an extension of Hoare triples to real-time.