Randomized versus nondeterministic communication complexity
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
On the query complexity of finding a local maximum point
Information Processing Letters
On the Complexity of Finding a Local Maximum of Functions on Discrete Planar Subsets
STACS '03 Proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science
Annals of Mathematics and Artificial Intelligence
On the complexity of finding a local maximum of functions on discrete planar subsets
Theoretical Computer Science
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The relative power of determinism, randomness, and nondeterminism for search problems in the Boolean decision tree model is studied. It is shown that the CNF search problem is complete for all the variants of decision trees. It is then shown that the gaps between the nondeterministic, the randomized, and the deterministic complexities can be arbitrarily large for search problems. The special case of nondeterministic complexity is discussed.