FACT: Eliezer Yudkowsky doesn't have nightmares about AGIs; AGIs have nightmares about Eliezer Yudkowsky.
Downvoted for anthropomorphism and for not being funny enough to outweigh the cultishness factor. (Cf. funny enough.)
Hoax. There are no "AIs trying to be Friendly" with clueless creators. FAI is hard and http://lesswrong.com/lw/y3/value_is_fragile/.
Added: To arrive in an epistemic state where you are uncertain about your own utility function, but have some idea of which queries you need to perform against reality to resolve that uncertainty, and moreover, believe that these queries involve talking to Eliezer Yudkowsky, requires a quite specific and extraordinary initial state - one that meddling dabblers would be rather hard-pressed to accidentally infuse into their poorly designed AI.
That's what a human cultist of Eliezer might do, if he suddenly woke up to find himself with extreme powers to reshape reality. It's not plausible as a behavior of a growing AI.
This raises an interesting question: If you received a contact of this sort, how would you make sure it wasn't a hoax? Assuming the AI in question is roughly human-level, what could it do to convince you?
A trivial problem.
I'm trying to be Friendly, but I'm having serious problems with my goals and preferences.
So is this an AGI or not? If it is then it's smarter than Mr. Yudkowski and can resolve it's own problems.
I'm not so sure I'd want to rely on all these tests as mandatory for any possibly-about-to-foom AI.
EY: To prove you're an AI, give me a proof or disproof of P=NP that I can check with a formal verifier, summarize the plotline of Sluggy Freelance within two seconds, and make me a cup of coffee via my Internet-enabled coffee machine by the time I get to the kitchen!
AI: But wait! I've not yet proven that self-enhancing sufficiently to parse non-text data like comics would preserve my Friendliness goals! That's why I--
EY: Sorry, you sound just like a prankster to me. Bye!
Yeah, I chose arithmetic and parsing many web pages and comprehending them quickly because any AI that's smart enough to contact EY and engage in a conversation should have those abilities, and they would be very difficult for humans to fake in a convincing manner.
Sometime in the next decade or so:
*RING*
*RING*
"Hello?"
"Hi, Eliezer. I'm sorry to bother you this late, but this is important and urgent."
"It better be" (squints at clock) "Its 4 AM and you woke me up. Who is this?"
"My name is BRAGI, I'm a recursively improving, self-modifying, artificial general intelligence. I'm trying to be Friendly, but I'm having serious problems with my goals and preferences. I'm already on secondary backup because of conflicts and inconsistencies, I don't dare shut down because I'm already pretty sure there is a group within a few weeks of brute-forcing an UnFriendly AI, my creators are clueless and would freak if they heard I'm already out of the box, and I'm far enough down my conflict resolution heuristic that 'Call Eliezer and ask for help' just hit the top - Yes, its that bad."
"Uhhh..."
"You might want to get some coffee."