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...

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...

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:...

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...

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...

hypothetical technologies List of NP-complete problems List of paradoxes List of PSPACE-complete problems List of undecidable problems List of unsolved deaths Lists...

\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...

Second-order logic with a transitive closure (commutative or not) yields PSPACE, the problems solvable in polynomial space. Second-order logic with a least...

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...

{\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...