NE (complexity)

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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 O(kn) for some k. [1]

Contents

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

Relationship to other classes

NE is contained by NEXPTIME.

See also

Related Research Articles

In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other. A computational problem is a task solved by a computer. A computation problem is solvable by mechanical application of mathematical steps, such as an algorithm.

<span class="mw-page-title-main">NP (complexity)</span> Complexity class used to classify decision problems

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NE, Ne or ne may refer to:

<span class="mw-page-title-main">Time complexity</span> Estimate of time taken for running an algorithm

In computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that each elementary operation takes a fixed amount of time to perform. Thus, the amount of time taken and the number of elementary operations performed by the algorithm are taken to be related by a constant factor.

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<span class="mw-page-title-main">Set constraint</span>

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References

  1. Complexity Zoo : NE