Object-Oriented Formal Modeling and Analysis of Interacting Hybrid Systems in HI-Maude

This paper introduces the HI-Maude tool that supports the formal modeling, simulation, and model checking of interacting hybrid systems in rewriting logic. Interacting hybrid systems exhibit both discrete and continuous behaviors, and are composed of components that influence each other’s continuous dynamics. HI-Maude supports the compositional modeling of such systems, where the user only needs to describe the dynamics of single components and interactions, instead of having to explicitly define the continuous dynamics of the entire system. HI-Maude provides an intuitive, expressive, object-oriented, and algebraic modeling language, as well as simulation and LTL model checking with reasonably precise approximations of continuous behaviors for interacting hybrid systems. We introduce the tool and its formal analysis features, define its formal semantics in Real-Time Maude, and exemplify its use on the human thermoregulatory system.