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

Real-Time Maude and Its Applications

“…Existing formalisms therefore also do not support the object-oriented specification of continuously interacting hybrid systems, since the continuous behavior must be completely redefined for each new configuration of objects (for example, if we have three cups of coffee), and therefore cannot be defined at the class level. Muhammad Fadlisyah, ErikaÁbrahám, and I have addressed the formal modeling and analysis of interacting hybrid systems in [24][25][26][27]. In our objectoriented modeling methodology, which is based on the effort/flow method, both the physical entities and the physical interactions between the entities are modeled explicitly as objects.…”

“…In [27] we define a HI-Maude model of the human thermoregulatory system according to accepted physiological facts and models, where the body core and the skin are two main components. Heat flows between them through blood flows where the diameter of the blood vessels changes continuously.…”

“…Our HI-Maude analyses show that even the average person should endure 12 min in the sauna before the onset of major injuries. We also used HI-Maude to analyze what scenarios could cause major injuries to a five-time world champion in around 6 min [27].…”