Search problems in the decision tree model

L. Lovász, M. Naor, I. Newman, A. Wigderson
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引用次数: 68

Abstract

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.<>
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决策树模型中的搜索问题
研究了布尔决策树模型中搜索问题的确定性、随机性和非确定性的相对威力。结果表明,对于决策树的所有变体,CNF搜索问题都是完备的。然后表明,对于搜索问题,不确定性,随机化和确定性复杂性之间的差距可以任意大。讨论了不确定性复杂性的特殊情况
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