I might pitch in with an intuition about whether AIXI can recognize itself in a mirror. If I understand the algorithm correctly, it would depend on the rewards you gave it, and the computational and time cost would depend on what sensory inputs and motor outputs you connected it to.
For example, if you ran AIXI on a computer connected to a webcam with a mirror in front of it, and rewarded it if and only if it printed “I recognize myself” on the screen, it would eventually learn to do this all the time. The time cost might be large, though.
I might pitch in with an intuition about whether AIXI can recognize itself in a mirror. If I understand the algorithm correctly, it would depend on the rewards you gave it, and the computational and time cost would depend on what sensory inputs and motor outputs you connected it to.
For example, if you ran AIXI on a computer connected to a webcam with a mirror in front of it, and rewarded it if and only if it printed “I recognize myself” on the screen, it would eventually learn to do this all the time. The time cost might be large, though.