Re: [agi] SAT, SMT and AGI

2008-01-21 Thread Vladimir Nesov
On Jan 21, 2008 6:17 AM, Ben Goertzel [EMAIL PROTECTED] wrote: So, people do have a practically useful way of cheating problems in NP now. Problem with AGI is, we don't know how to program it even given computers with infinite computational power. Well, that is wrong IMO AIXI and the

Re: [agi] SAT, SMT and AGI

2008-01-21 Thread Pei Wang
On Jan 20, 2008 10:17 PM, Ben Goertzel [EMAIL PROTECTED] wrote: So, people do have a practically useful way of cheating problems in NP now. Problem with AGI is, we don't know how to program it even given computers with infinite computational power. Well, that is wrong IMO AIXI and the

Re: [agi] SAT, SMT and AGI

2008-01-21 Thread Lukasz Kaiser
SMT in particular seems to have deep potential applicability. To add a little background, SMT is under heavy developement at Microsoft and it is planned to be applied a lot. The basic progress is that the new version of Z3 is an order of magnitude faster than the last one, and is even a

Re: [agi] SAT, SMT and AGI

2008-01-21 Thread Ben Goertzel
As far as I know there is little or no work done yet to integrate probabilistic reasoning with these solvers and it will probably not be easy to do it and keep things efficient. I don't think it will be easy, but what's intriguing is that it seems like it might be feasible-though-difficult

Re: [agi] SAT, SMT and AGI

2008-01-21 Thread Pei Wang
If I know you are against X, while X is not one of the s_i, but some general description of it, how can you use the formula? If the knowledge in a data compressor is all at the level of letter string, how can it use the knowledge about the theme of a paper to compress it better? Pei For

[agi] SAT, SMT and AGI

2008-01-21 Thread Jim Bromer
so: I will post a message on SAT, SMT and AGI I would rephrase the question as: How would a pragmatically useful polynomial time solution of logical satisfiability affect AGI? --- I really appreciate that. I was surprised when I thought you were quashing

Re: [agi] SAT, SMT and AGI

2008-01-21 Thread Matt Mahoney
--- Pei Wang [EMAIL PROTECTED] wrote: If I know you are against X, while X is not one of the s_i, but some general description of it, how can you use the formula? If you were compressing the message on topic X I {agree|disagree} and you are predicting bit 2 (after compressing bits 7 through 3

[agi] SAT, SMT and AGI

2008-01-20 Thread Ben Goertzel
will do so: I will post a message on SAT, SMT and AGI And here it is: However, I would rephrase the question as: How would a pragmatically useful polynomial time solution of logical satisfiability affect AGI? In fact, it's interesting to talk about how existing SAT and SMT solvers http

Re: [agi] SAT, SMT and AGI

2008-01-20 Thread Vladimir Nesov
On Jan 21, 2008 1:35 AM, Ben Goertzel [EMAIL PROTECTED] wrote: However, I would rephrase the question as: How would a pragmatically useful polynomial time solution of logical satisfiability affect AGI? In fact, it's interesting to talk about how existing SAT and SMT solvers

Re: [agi] SAT, SMT and AGI

2008-01-20 Thread Pei Wang
On Jan 20, 2008 5:35 PM, Ben Goertzel [EMAIL PROTECTED] wrote: In AGI, we don't care that much about worst-case complexity, nor even necessarily about average-case complexity for very large N. We care mainly about average-case complexity for realistic N and for the specific probability

Re: [agi] SAT, SMT and AGI

2008-01-20 Thread Ben Goertzel
So, people do have a practically useful way of cheating problems in NP now. Problem with AGI is, we don't know how to program it even given computers with infinite computational power. Well, that is wrong IMO AIXI and the Godel Machine are provably correct ways to achieve AGI with