In computational complexity theory, DTIME (or TIME) is the computational resource of computation time for a deterministic Turing machine. It represents...
5 KB (858 words) - 12:25, 26 August 2023
defined in terms of DTIME as follows. QP = ⋃ c ∈ N DTIME ( 2 log c n ) {\displaystyle {\mbox{QP}}=\bigcup _{c\in \mathbb {N} }{\mbox{DTIME}}\left(2^{\log...
41 KB (4,998 words) - 19:17, 11 August 2024
{\displaystyle {\mathsf {DTIME}}\left(o\left(f(n)\right)\right)\subsetneq {\mathsf {DTIME}}(f(n){\log f(n)})} , where DTIME(f(n)) denotes the complexity...
17 KB (2,467 words) - 08:18, 10 July 2024
a bigger set of problems. In particular, although DTIME( n {\displaystyle n} ) is contained in DTIME( n 2 {\displaystyle n^{2}} ), it would be interesting...
49 KB (6,717 words) - 20:27, 10 August 2024
input influencing space complexity. Analogously to time complexity classes DTIME(f(n)) and NTIME(f(n)), the complexity classes DSPACE(f(n)) and NSPACE(f(n))...
7 KB (1,004 words) - 07:33, 26 June 2024
Turing machine in time 2O(n) and is therefore equal to the complexity class DTIME(2O(n)). E, unlike the similar class EXPTIME, is not closed under polynomial-time...
2 KB (185 words) - 07:41, 2 March 2023
terms of DTIME, E X P T I M E = ⋃ k ∈ N D T I M E ( 2 n k ) . {\displaystyle {\mathsf {EXPTIME}}=\bigcup _{k\in \mathbb {N} }{\mathsf {DTIME}}\left(2^{n^{k}}\right)...
7 KB (991 words) - 10:42, 25 June 2024
{{\mbox{-}}EXP}}\\&={\mathsf {DTIME}}\left(2^{n}\right)\cup {\mathsf {DTIME}}\left(2^{2^{n}}\right)\cup {\mathsf {DTIME}}\left(2^{2^{2^{n}}}\right)\cup...
7 KB (1,112 words) - 21:47, 18 January 2024
In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that...
16 KB (1,961 words) - 15:31, 2 August 2024
in exponential space. By definition of DTIME, it follows that D T I M E ( n k 1 ) {\displaystyle {\mathsf {DTIME}}(n^{k_{1}})} is contained in D T I M...
75 KB (10,381 words) - 22:02, 28 June 2024