• Thumbnail for PSPACE
    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 (2,841 words) - 19:41, 25 August 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
  • 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
  • Thumbnail for IP (complexity)
    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
  • Thumbnail for Complexity class
    complexity classes relate to each other in the following way: L⊆NL⊆P⊆NP⊆PSPACE⊆EXPTIME⊆NEXPTIME⊆EXPSPACE (where ⊆ denotes the subset relation). However...
    75 KB (10,381 words) - 22:02, 28 June 2024
  • Thumbnail for Go and mathematics
    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
  • the classes NP and co-NP. Each class in the hierarchy is contained within PSPACE. The hierarchy can be defined using oracle machines or alternating Turing...
    16 KB (2,690 words) - 13:46, 29 July 2024