NP-complete - Wikipedia, the free encyclopedia
In computational complexity theory, the complexity class NP-complete (abbreviated NP-C or NPC , with NP standing for nondeterministic polynomial time), is a class of problems having two proper...
en.wikipedia.org/wiki/NP-complete
NP-complete. It means that they will still be needed to prove theorems since it seems unlikely that anyone will develop a computer program to do so. But we, as computer scientists need to see problems which are closer to home.
www.cs.uky.edu/~lewis/cs-heuristic/text/class/more-np.h... www.cs.uky.edu/~lewis/cs-heuristic/text/class/more-np.html
NP stands for Non-deterministic Polynomial time. This means that the problem can be solved in Polynomial time using a Turing Machine. Basically, a solution has to be testable in poly time. If that's the case, and a known NP problem can be s...
http://stackoverflow.com/questions/210829/what-is-an-np...
NP-hard - Wikipedia, the free encyclopedia
NP-hard (non-deterministic polynomial-time hard), in computational complexity theory, is a class of problems that are, informally, "at least as hard as the hardest problems in NP". A problem H is N...
en.wikipedia.org/wiki/NP-hard
The two most annoying are probably calling approximations "cheats", and your obvious lack of research into what "NP-complete" means (or even, ... Like M said (but less abrasively), there's a concrete definition of what NP-Complete means. It's mathy, but that just means it's a CS thing instead of a programming thing.
www.codinghorror.com/blog/archives/001187.html
To finish the proof that this is NP-complete, we need to show that it's harder than anything else in NP. Suppose we have a problem A in NP. This means that we can write a program PA that tests solutions to A, and halts within polynomial time p(n) with a yes or no answer depending on whether the given solution is really...
www.ics.uci.edu/~eppstein/161/960312.html
Some puzzles are even harder than NP (for instance, sliding block puzzles and Sokoban are PSPACE-complete) but to me this means only that the problem can have an annoyingly long sequence of manipulations in its solution.
www.ics.uci.edu/~eppstein/cgt/hard.html
For the current discussion, it suffices that the problem of simply detecting which squares are or are not mines is equivalent to the Minesweeper Consistency Problem, and the fact that it is NP-complete means, for Minesweeper fans, that their favourite game can be seen as being right at the cutting edge of...
web.mat.bham.ac.uk/R.W.Kaye/minesw/ordmsw.htm
The upshot is that solving the Minesweeper Consistency Problem is algorithmically equivalent to the SAT problem, and is thus NP-complete. To virtually every mathematician and computer scientist, this means that the Minesweeper Consistency Problem must be inherently hard.
www.claymath.org/Popular_Lectures/Minesweeper/
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nebupookins.net/