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

Formal modeling and analysis of interacting hybrid systems in HI-Maude: What happened at the 2010 Sauna World Championships?

“…Among our own previous work, our paper [7] introduces the formal effort/flow-based object-oriented modeling technique for continuously interacting hybrid systems; the papers [42,22] describe how the Euler and the Runge-Kutta numerical approximation methods have been adapted to the effort/flow setting and then formalized/implemented in Maude. The papers [4,5] introduce the HI-Maude tool, and, finally, the paper [18] provides a shorter exposition of the sauna case study. The precise relationship between [18] and the current paper is given in the introduction.…”

“…Objects of the classes TwoSidedInteraction and OneSidedInteraction should be used to model two-sided and one-sided physical interactions, respectively: 4 The attributes, equations, and rules of a class cannot be redefined by its subclasses, but subclasses may introduce additional attributes, equations, and rules. 5 The tool currently provides the entity class with two additional continuous variables.…”

“…HI-Maude [4,5] is a language and analysis tool that extends Maude [20] and its real-time extension Real-Time Maude [21] to support the object-oriented effort/flow-based modeling and approximation-based formal analysis of interacting hybrid systems. Since HI-Maude targets complex systems, and therefore does not restrict to linear ODEs for describing the continuous dynamics of a component/interaction, the continuous dynamics of a system is in general not analytically solvable.…”

“…If there is more than one object in the rule's left-hand side, then the objects participating in an application of such a rule can be seen to "synchronize" and change "in lockstep." A subclass inherits all the attributes, equations, and rules of its superclasses, 4 and multiple inheritance is supported [27].…”

“…In this paper we use the rewriting-logic-based HI-Maude language and tool [4,5] to model the human thermoregulatory system according to established medical/physiological models and to analyze it under extreme conditions. Since our investigation is partially motivated by the 2010 Sauna World Championships, we also present a fairly detailed model of the thermodynamics of a sauna and use the HI-Maude tool to address the three questions above.…”