jimrandomh comments on What would you do with a solution to 3-SAT? - Less Wrong

3 Post author: alexflint 27 April 2011 06:19PM

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Comment author: jimrandomh 27 April 2011 07:39:20PM 4 points [-]

What would you do with a solution to 3-SAT?

Any answer other than "create a superintelligent friendly AI to optimize the universe" would be a waste of this particular genie, but there are some steps in between that and 3-SAT which I can't specify yet.

Comment author: Wei_Dai 27 April 2011 09:38:03PM *  3 points [-]

there are some steps in between that and 3-SAT which I can't specify yet.

Coincidentally, I recently had an idea for making progress on FAI that would benefit greatly from a solution to 3-SAT.

Comment author: cousin_it 28 April 2011 09:56:08AM *  3 points [-]

Your idea seems to be a general method for solving unformalized problems using an NP-solver: generate phrases that an uploaded human would classify as insights. I'm still afraid that many such phrases will be mindhacks instead of genuine insights, though, and the risk gets worse as the problem gets harder (or more precisely, as the next inferential step becomes harder to hit).

Comment author: Wei_Dai 28 April 2011 04:28:33PM *  2 points [-]

I agree it's still risky, but with the safety features I put in (having a small limit on the phrase length, outputting the top 100,000 (considered individually) in random order instead of just the top 1, review/discussion by a team, and we can also mix together the top 10,000 insights from each of 10 uploads for additional safety) it seems no worse than just having humans try to solve the problem by thinking about it, since we could also come up with self-mindhacks while thinking.

(Do you agree that the FAI problem has to be solved sooner or later? I think you didn't respond to the last argument I made on that.)

Comment author: cousin_it 28 April 2011 11:24:35PM *  13 points [-]

Do you agree that the FAI problem has to be solved sooner or later?

...And right now, thinking about possible replies to your comment, I finally switched to agreeing with that. Thanks.

Oh hell. This changes a lot. I need to think.

Comment author: lukeprog 01 May 2011 05:48:14PM 0 points [-]

This is a most excellent update. I look forward to hearing what comes out of this thinking.

Comment author: Psy-Kosh 28 April 2011 03:01:52PM 1 point [-]

An NP oracle makes AI rather easier... but I'm not sure it currently would be as much help in FAI in particular. That is, I don't think it would help as much with the F part.

In other words, I suspect that an NP oracle is the sort of thing that if you discovered one... you should be really really quiet about it, and be very cautious about who you tell. (I may be totally wrong about this, though.)

Comment author: Document 30 April 2011 12:22:02AM 1 point [-]

(Declining to resist temptation to link a sci-fi story (7500 words) despite Google confirming you're already familiar with it.)

Comment author: Psy-Kosh 30 April 2011 04:04:31AM 0 points [-]

But I already am immune to that story. ;)

Comment author: JoshuaZ 28 April 2011 03:29:44PM *  1 point [-]

An NP oracle makes AI rather easier...

How so? This isn't obvious to me.

In other words, I suspect that an NP oracle is the sort of thing that if you discovered one... you should be really really quiet about it, and be very cautious about who you tell. (I may be totally wrong about this, though.)

There are both good and bad arguments against this. If one can find such a thing it seems likely that others can too. A lot of the more mundane bad stuff that can be done with a practical solution to P=NP would be things like breaking encryption which work iff people don't know you have such a solution (otherwise people then go back to things like one-time pads. The economy will suffer until the quantum crypto is really up and running, but the amount of long-term badness someone with the solution can do will be severely limited.) Moreover, such a solution can also help do a lot of good in mundane areas where one needs to routinely solve instances of NP complete problems. So, overall, I'd go with releasing it.

Comment author: Psy-Kosh 28 April 2011 11:50:56PM 2 points [-]

NP oracles allow easy learning by allowing one to find compact models to explain/predict available data...

Also gives the ability to do stuff like "what actions can I take which, within N inferential steps of this model, will produce an outcome I desire?" or "will produce utility > U with probability > P" or such.

Maybe I'm way off on this, but it sure does seem like a cheap NP oracle would make at least UFAI comparatively easy.

If I'm totally wrong about NP oracles -> easy AI, then I'd agree with you re releasing it... with a caveat. I'd say to it with advance warning... ie, anonymously demonstrate to various banks, security institutions, and possibly the public that there exists someone with the ability to efficiently solve NP complete problems, and that the algorithm will be released in X amount of time. (1-2 years would be my first thought for how long the advanced warning should be.)

This way everyone has time to at least partly prepare for the day where all crypto other than OTP (quantum crypto would be an example of an OTP style crypto) would be dead.

Comment author: JoshuaZ 28 April 2011 11:53:41PM 0 points [-]

Also gives the ability to do stuff like "what actions can I take which, within N inferential steps of this model, will produce an outcome I desire?" or "will produce utility > U with probability > P" or such.

Yes, but if the models aren't well-defined then that won't be doable. At this point we can even give rigorous notions what we mean by an intelligence, so our 3-SAT oracle won't be able to help much. The 3-SAT oracle is only going to help for precisely defined questions.

Comment author: Psy-Kosh 29 April 2011 12:03:30AM 1 point [-]

Huh? I'm not sure I understand what your objection.

An NP oracle would let you do stuff like "given this sensory data, find a model of size N or less that within K computational steps or less will reproduce the data to within error x, given such a model exists"

Then one can run "which sequence of actions, given this model, will, within S steps, produce outcome A with probability P?"

Whether or not we can give a rigorous definition of intelligence, seems like the above is sufficient to act like an intelligence, right? Yeah, there're a few tricky parts re reflective decision theory, but even without that. Even if we let the thing be non-self-modifying... giving a nice chunk of computing power to the above, given an efficient NP oracle, would be enough to potentially cause trouble. Or so I'd imagine.

Comment author: JoshuaZ 29 April 2011 12:09:40AM 0 points [-]

Ok, but how are you specifying the outcome? And are you going to specify each input and output?

Comment author: Psy-Kosh 29 April 2011 12:18:46AM 0 points [-]

Just some property of the outcome that you're interested in. ie, all of the above, with the question being "blah blah blah, with f(outcome) = blah with probability blah blah blah blah blah"

Comment author: JoshuaZ 29 April 2011 12:24:53AM 0 points [-]

Then you will need to specify your AI for every single output-input pair you are interested in.

Comment author: Psy-Kosh 29 April 2011 03:11:16AM 0 points [-]

Huh? I don't follow. (Note, the whole point is that I was claiming that an NP oracle would make, say, a UFAI potentially easy, while to achieve the rather more specific FAI would still be difficult.)