Journal of Computer and System Sciences
Arthur-Merlin games: a randomized proof system, and a hierarchy of complexity class
Journal of Computer and System Sciences - 17th Annual ACM Symposium in the Theory of Computing, May 6-8, 1985
The knowledge complexity of interactive proof systems
SIAM Journal on Computing
Machine models and simulations
Handbook of theoretical computer science (vol. A)
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Rush Hour is PSAPCE-complete, or "Why you should generously tip parking lot attendants"
Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Playing Games with Algorithms: Algorithmic Combinatorial Game Theory
MFCS '01 Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science
Word problems requiring exponential time(Preliminary Report)
STOC '73 Proceedings of the fifth annual ACM symposium on Theory of computing
Relationships between nondeterministic and deterministic tape complexities
Journal of Computer and System Sciences
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The complexity class PSPACE is one of the most robust concepts in contemporary computer science. Aside from the fact that space is invariant (for reasonable models at least) up to a constant factor, the class can be characterized in many alternative ways, involving parallel computation, logic problems like QBF, interactive computation models but also by means of games. In the literature the connection between PSPACE and games is established as a consequence either of the PSPACE completeness of the QBF problem or as a consequence of the properties of the alternating computation model. Based on either of these starts one subsequently has investigated the PSPACE completeness of endgame analysis problems for various specific games. The purpose of this note is to present a direct reduction of an arbitrary PSPACE problem into endgame analysis of a corresponding game. As a consequence we obtain an alternative proof of the 1970 Savitch theorem showing that PSPACE is closed under nondeterminism. Furthermore we reconsider the direct translation of endgame analysis of some game in QBF, in order to obtain a better understanding of the conditions on the game which enable this translation.