Let's imagine I'm a superintelligent magician, sitting in my castle, Dyson Sphere, what-have-you. I want to allow sentient beings some way to visit me, but I'm tired of all these wandering AIXI-tl spambots that script kiddies code up to brute-force my entrance challenges. I don't want to tl-bound my visitors; what if an actual sentient 10^10^15 ops/sec big wants to visit me? I don't want to try and examine the internal state of the visiting agent, either; that just starts a war of camouflage between myself and the spammers. Luckily, there's a simple challenge I can pose to any visitor, cooperation with your clone, that filters out the AIXI-tls and leaves only beings who are capable of a certain level of reflectivity, presumably genuine sentients. I don't need to know the tl-bound of my visitors, or the tl-bound of the AIXI-tl, in order to construct this challenge. I write the code once.

Cooperation with yourself is certainly a fair test when it comes to winning entrance into a magician's castle; I've seen it in at least one fantasy novel I can think of offhand.

--
Eliezer S. Yudkowsky http://singinst.org/
Research Fellow, Singularity Institute for Artificial Intelligence

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