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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
NP-hard
A set or property of computational {search
problems}. A problem is NP-hard if solving it in {polynomial
time} would make it possible to solve all problems in class
NP in polynomial time.
Some NP-hard problems are also in NP (these are called
"NP-complete"), some are not. If you could reduce an NP
problem to an NP-hard problem and then solve it in polynomial
time, you could solve all NP problems.
See also computational complexity.
[Examples?]
(1995-04-10)