P vs np Definition and 11 Threads

I think the essence is captured above.

If we suppose there is an algorithm for P vs NP, would it have to be able to find solutions where we now use trial and error? In harder Sudokus, for example, there are times when you have two or more possible numbers and need to guess whereafter you work the rest of the numbers through to see if...

I need a consult. There is representing of 3-SAT formula as a conjunction of pair logical formulas. Each of this formulas has polynomial algorithm for searching response about its satisfiability and (if the formula sat - we can find in polynomial time any decision of all possible). It is not...

I don't have any understanding of P vs NP past the colloquial explanation of it, but it occurred to me that it is essential that P ≠ NP for comedy to function. For almost all comedy to work it relies on a "punchline" that is not easily predicted but, once revealed, can be easily and near...

Hello, My hobby is to design algorithms especially data compression algorithms, but when I can't find a solution to my problems I usually go find myself a different problem to solve because it helps me think differently or maybe it lights a bulb about the original problem …today I stumbled on...

I don't understand why if P vs NP can't be decided in ZFC, then there exist "near" polynomial time algorithms for NP. How would that possibly work?

Didn't know what forum to post this in..There are some brilliant people on this forum, just wanted to know your thoughts on the P vs NP problem in Computer Science? Do you think it will ever be solved? I think P != NP. That being said, I do believe it could be solved but not with normal...

I don't know much about this P vs NP debate at all but what happens if they assume P = NP or P=/=NP? What does it mean when somebody resolves the debate? Why are there tons of mathematicians and computer scientists who are split between the two?

I have some questions about the presentation of the P vs NP problem here. I'm quite new to this stuff, so pardon my ignorance if I make dumb statements. http://www.claymath.org/millennium/P_vs_NP/Official_Problem_Description.pdf Specifically: First of all this statement is confusing to me...

Hi I found a paper that claims to prove P=NP I can't say that I understand it much, so thought I'd ask for peoples opinions on it. It can be found here: http://arxiv.org/PS_cache/arxiv/pdf/1005/1005.3010v1.pdf Thanks

Hey guys, So I am a big fan of math, but at the moment, I am limited to calculus, so I don't really know much math at all. With that being said, I also happen to watch the show numbers, which is the first place I heard about the problem P vs NP. So after looking it up, I saw that it is a...