NE (complexity)

In computational complexity theory, the complexity class NE is the set of decision problems that can be solved by a non-deterministic Turing machine in time ${\displaystyle 2^{O(n)}}$.¹ It is similar to NEXPTIME, the set of decision problems that can be solved by a non-deterministic Turing machine in time ${\displaystyle 2^{n^{O}(1)}}$. By definition, it is contained in NEXPTIME.

NE, unlike NEXPTIME, is not closed under polynomial-time many-one reductions.