## 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?]

Last updated: 1995-04-10

### Nearby terms:

NP ♦ np ♦ NPC ♦ NP-complete ♦ **NP-hard** ♦ NP-hilarious ♦ NPL ♦ NPPL ♦ N-Prolog

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