NEXP meaning in Computing ?

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What is NEXPTIME mean?

In computational complexity theory, the complexity class NEXPTIME (sometimes called NEXP) is the set of decision problems that can be solved by a non-deterministic Turing machine using time 2 n O ( 1 ) {\displaystyle 2^{n^{O(1)}}} .

In terms of NTIME,

N E X P T I M E = ⋃ k ∈ N N T I M E ( 2 n k ) {\displaystyle {\mathsf {NEXPTIME}}=\bigcup _{k\in \mathbb {N} }{\mathsf {NTIME}}(2^{n^{k}})}

Alternatively, NEXPTIME can be defined using deterministic Turing machines as verifiers. A language L is in NEXPTIME if and only if there exist polynomials p and q, and a deterministic Turing machine M, such that

For all x and y, the machine M runs in time 2 p ( | x | ) {\displaystyle 2^{p(|x|)}} on input ( x , y ) {\displaystyle (x,y)} For all x in L, there exists a string y of length 2 q ( reference nan

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Posted on 01 May 2022, this text provides information on Miscellaneous in Computing related to Computing. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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