Shared intentionality is a critical component in developing conscious AI\nagents capable of collaboration, self-reflection, deliberation, and reasoning.\nWe formulate inference of shared intentionality as an inverse reinforcement\nlearning problem with logical reward specifications. We show how the approach\ncan infer task descriptions from demonstrations. We also extend our approach to\nactively convey intentionality. We demonstrate the approach on a simple\ngrid-world example.\n