This paper proposes to use probabilistic model checking to synthesize optimal robot policies in multi-tasking autonomous systems that are subject to human-robot interaction. Given the convincing empirical evidence that human behavior can be related to reinforcement models, we take as input a well-studied Q-table model of the human behavior for flexible scenarios. We first describe an automated procedure to distill a Markov decision process (MDP) for the human in an arbitrary but fixed scenario. The distinctive issue is that -- in contrast to existing models -- under-specification of the human behavior is included. Probabilistic model checking is used to predict the human's behavior. Finally, the MDP model is extended with a robot model. Optimal robot policies are synthesized by analyzing the resulting two-player stochastic game. Experimental results with a prototypical implementation using PRISM show promising results.
@article{arxiv.1610.09409,
title = {Probabilistic Model Checking for Complex Cognitive Tasks -- A case study in human-robot interaction},
author = {Sebastian Junges and Nils Jansen and Joost-Pieter Katoen and Ufuk Topcu},
journal= {arXiv preprint arXiv:1610.09409},
year = {2016}
}