"In this paper, we prove that a process which binds information together irreversibly is non-computable," Maguire explained in an email. "If the human brain is genuinely binding information then it cannot be emulated by artificial intelligence. We've proved that mathematically."

In a recently published paper, "Is Consciousness Computable? Quantifying Integrated Information Using Algorithmic Information Theory," Phil Maguire, co-director of the BSc degree in computational thinking at National University of Ireland, Maynooth, and his co-authors demonstrate that, within the model of consciousness proposed by Giulio Tononi, the integrated information in our brains cannot be modeled by computers.

http://arxiv.org/abs/1405.0126