complements of all problems in PSPACE are also in PSPACE, meaning that co-PSPACE = PSPACE. The following relations are known between PSPACE and the complexity classes...
7 KB (981 words) - 14:19, 21 August 2024
In computational complexity theory, a decision problem is PSPACE-complete if it can be solved using an amount of memory that is polynomial in the input...
13 KB (1,564 words) - 19:46, 25 August 2024
also known to be no larger than PSPACE, the class of problems decidable in polynomial space. Again, whether P = PSPACE is an open problem. To summarize:...
16 KB (1,961 words) - 15:31, 2 August 2024
need not store game states; however many games of interest are known to be PSPACE-hard, and it follows that their space complexity will be lower-bounded by...
37 KB (2,842 words) - 11:17, 20 September 2024
hypothetical technologies List of NP-complete problems List of paradoxes List of PSPACE-complete problems List of undecidable problems List of unsolved deaths Lists...
2 KB (120 words) - 16:40, 26 December 2023
IP (complexity) (section Proof of IP = PSPACE)
problems solvable by an interactive proof system. It is equal to the class PSPACE. The result was established in a series of papers: the first by Lund, Karloff...
32 KB (5,588 words) - 14:00, 29 August 2024
True quantified Boolean formula (category PSPACE-complete problems)
\exists z\ ((x\lor z)\land y)} QBF is the canonical complete problem for PSPACE, the class of problems solvable by a deterministic or nondeterministic Turing...
25 KB (3,764 words) - 23:29, 14 May 2024
Second-order logic with a transitive closure (commutative or not) yields PSPACE, the problems solvable in polynomial space. Second-order logic with a least...
18 KB (2,543 words) - 22:33, 28 July 2024
{\displaystyle P\subseteq NP\subseteq PP\subseteq PSPACE} , but it is possible that P = P S P A C E {\displaystyle P=PSPACE} . If P {\displaystyle P} is not equal...
49 KB (6,717 words) - 21:56, 25 September 2024
complexity. Without ko, Go is PSPACE-hard. This is proved by reducing True Quantified Boolean Formula, which is known to be PSPACE-complete, to generalized...
18 KB (1,727 words) - 19:47, 25 August 2024