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Questions related to the (computational) complexity of solving problems

1 vote
1 answer
60 views

$\mathsf{PSPACE}$ membership in exponentially many steps?

I am trying to argue that a certain problem is in $\mathsf{PSPACE}$ and my question is, essentially, whether it is ok to have an algorithm that takes an exponential number of steps as long as, overall …
Palmy's user avatar
  • 123
1 vote
0 answers
31 views

Detecting cycles in directed graphs where basic operations have high complexity

Given a directed graph $G=(V,E)$, we know that there are efficient algorithms (i.e., linear in the number of nodes and edges) for detecting cycles in it. But this uses the fact that a basic task such …
Palmy's user avatar
  • 123