Functional reactive programming as a hybrid system framework

In previous work we presented functional reactive programming (FRP), a general framework for designing hybrid systems and developing domain-specific languages for related domains. FRP's synchronous dataflow features, like event driven switching, supported by higher-order lazy functional abstractions of Haskell allows rapid development of modular and reusable specifications. In this paper, we look at more closely to the relation of arrowized FRP (AFRP), the FRP implementation, and formal specification of hybrid systems. We show how a formally specified hybrid system can be expressed in FRP and present a constructive proof showing that, for a subset of AFRP programs, there is a corresponding formal hybrid system specification.