Talk:List of PSPACE-complete problems
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editThe generalized piano mover's problem is PSPACE-complete (John Canny - Some Algebraic and Geometric Computations in PSPACE, John H. Reif - Complexity of the Mover's Problem and Generalizations). I will add it when i find some time.
There are quite a few PSPACE-complete games and puzzles not listed in this article. I cannot add them because I have a COI as an author of several of these results. The ones I am aware of that are not listed are:
- Sliding-block puzzles
- Sliding-coin puzzles
- Plank Puzzles
- Block-pushing puzzles Push-2-F, PushPush-k, and Push-*-F (all related to Sokoban)
- Rolling block mazes
- Konane
- Cross Purposes
- A large family of token games on DAGs (e.g. Annihilation, Hit, Capture, Node Blocking, Edge Blocking, Pursuit)
- Node Kayles (and Partizan Node Kayles)
- Snort
- Shannon Switching Game on directed graph edges
All of these are described in the paper Playing Games with Algorithms: Algorithmic Combinatorial Game Theory and Appendix A of the book Games, Puzzles, and Computation
PSPACE-complete problems in graph theory that are not listed on the page include Deterministic Constraint Logic, Nondeterministic Constraint Logic, and Bounded Two-Player Constraint Logic. Bobhearn (talk) 21:03, 2 April 2010 (UTC)
The article lists the emptiness problem for regular expressions as PSPACE-complete. This is incorrect, as for regular expressions it is solvable in DTIME(n). It is only PSPACE-complete for regular expressions with intersection. I removed it from the article, as I think it should only be in there if this issue is clarified. Jooohnas (talk) 11:52, 1 July 2011 (UTC)
DFA intersection emptyness
editThe intersection of two DFA can be calculated and has maximal size of n*m. Emptyness is a linear problem, thus it is bilinear regarding the two input automata. Thus it should be not PSPACE-complete. — Preceding unsigned comment added by 138.246.2.173 (talk) 19:23, 6 December 2012 (UTC)
PSPACE-completeness comes in here for an unbound number of automata. For two automata it is indeed in P. 82.135.69.43 (talk) 07:23, 1 September 2014 (UTC)
Snake Pspace complete
editThe video game Snake is Pspace complete. See this link: Snake is pspace complete
— Preceding unsigned comment added by 79.109.5.165 (talk) 19:13, 2 December 2016 (UTC)
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