- In com****tional
complexity theory, the
complexity class NEXPTIME (sometimes
called NEXP) is the set of
decision problems that can be
solved by a non-deterministic...
-
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...
-
EXPTIME ⊆
NEXPTIME ⊆ EXPSPACE. Furthermore, by the time
hierarchy theorem and the
space hierarchy theorem, it is
known that P ⊊ EXPTIME, NP ⊊
NEXPTIME and PSPACE...
-
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...
- NE,
unlike the
similar class NEXPTIME, is not
closed under polynomial-time many-one reductions. NE is
contained by
NEXPTIME. E (complexity)
Complexity Zoo:...
-
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}}}...
- even
EXPTIME = MA. If
NEXPTIME ⊆ P/poly then
NEXPTIME = EXPTIME, even
NEXPTIME = MA. Conversely,
NEXPTIME = MA
implies NEXPTIME ⊆ P/poly If
EXPNP ⊆ 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...
- {\mathsf {NEXP}}\not \subseteq {\mathsf {ACC}}^{0}} . It is open
whether NEXPTIME has
nonuniform TC0 circuits.
Proofs of
circuit lower bounds are strongly...
-
grounding or instantiation. The
satisfiability problem for this
class is
NEXPTIME-complete.
Efficient algorithms for
deciding satisfiability of EPR have...
