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2
votes
3answers
416 views

How can you prove that a problem is not solvable in a certain time complexity?

One of the most interesting questions in computer science is of course whether $P = NP$ or $P \neq NP$. If one wants to prove that $P \neq NP$ one can try to prove that an NPC problem is not solvable ...
32
votes
1answer
432 views

NP-Completeness of the decision problem for the generalized 15-puzzle

I am interested in the natural generalization of the famous 15-puzzle, where you have to slide blocks until you have sorted all given numbers (usally there is a gap of 1 block). Now the ...
2
votes
1answer
222 views

in SAT resolution proofs, are all DAGs possible? [closed]

these are some probably very hard but possibly significant and deep questions related to an unusual but intriguing possible "recursive" construction/formulation in SAT, with some important "structure" ...