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...

EXPTIME ⊆ NEXPTIME ⊆ EXPSPACE. Furthermore, by the time hierarchy theorem and the space hierarchy theorem, it is known that P ⊊ EXPTIME, NP ⊊ NEXPTIME and PSPACE...

classes relate to each other in the following way: L⊆NL⊆P⊆NP⊆PSPACE⊆EXPTIME⊆NEXPTIME⊆EXPSPACE (where ⊆ denotes the subset relation). However, many relationships...

NE, unlike the similar class NEXPTIME, is not closed under polynomial-time many-one reductions. NE is contained by NEXPTIME. E (complexity) Complexity Zoo:...

fragment where the only variable names are x , y {\displaystyle x,y} is NEXPTIME-complete (Theorem 3.18). With x , y , z {\displaystyle x,y,z} , it is RE-complete...

even EXPTIME = MA. If NEXPTIME ⊆ P/poly then NEXPTIME = EXPTIME, even NEXPTIME = MA. Conversely, NEXPTIME = MA implies NEXPTIME ⊆ P/poly If EXPNP ⊆ P/poly...

respectively they are N P ⊊ N E X P T I M E {\displaystyle {\mathsf {NP\subsetneq NEXPTIME}}} and N P ⊊ E X P S P A C E {\displaystyle {\mathsf {NP\subsetneq EXPSPACE}}}...

show that MIP = NEXPTIME, the class of all problems solvable by a nondeterministic machine in exponential time, a very large class. NEXPTIME contains PSPACE...

then NEXPTIME is not a subset of P/poly. Williams shows that, if algorithm A {\displaystyle A} exists, and a family of circuits simulating NEXPTIME in P/poly...

{\displaystyle O(f(n))} NP O ( poly ( n ) ) {\displaystyle O({\text{poly}}(n))} NEXPTIME O ( 2 poly ( n ) ) {\displaystyle O(2^{{\text{poly}}(n)})} Deterministic...