Model Checking for Safe Navigation Among Humans

We investigate the use of probabilistic model checking to synthesise optimal strategies for autonomous systems that operate among uncontrollable agents such as humans. To formally assess such uncontrollable behaviour, we use models obtained from reinforcement learning. These behaviour models are, e.g., based on data collected in experiments in which humans execute dynamic tasks in a virtual environment. We first describe a method to translate such behaviour models into Markov decision processes (MDPs). The composition of these MDPs with models for (controllable) autonomous systems gives rise to stochastic games (SGs). MDPs and SGs are amenable to probabilistic model checking which enables the synthesis of strategies that provably adhere to formal specifications such as probabilistic temporal logic constraints. Experiments with a prototype provide (1) systematic insights on the credibility and the characteristics of behavioural models and (2) methods for automated synthesis of strategies satisfying guarantees on their required characteristics in the presence of humans.