Restricted information from nonadaptive queries to NP

Yenjo Han, T. Thierauf
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Abstract

We investigate classes of sets that can be decided by bounded truth-table reductions to an NP set in which evaluators do not have full access to the answers to the queries but get only restricted information such as the number of queries that are in the oracle set or even just this number modulo m, for some m/spl ges/2. We also investigate the case in which evaluators are nondeterministic. We locate all these classes within levels of the Boolean hierarchy, which allows us to compare the complexity of such classes. Our results show the various degrees to which the power of P or NP evaluators are affected as the restricted information that the evaluators get from the answers to the queries produced by generators is changed.
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限制信息从非自适应查询到NP
我们研究了一类可以由有界真值表约简到NP集来决定的集合,其中求值者不能完全访问查询的答案,而只能获得有限的信息,例如oracle集中的查询数,甚至只是这个数的模m,对于一些m/spl ges/2。我们还研究了评估器不确定的情况。我们将所有这些类定位在布尔层次结构的各个级别中,这允许我们比较这些类的复杂性。我们的结果显示,当评估器从生成器生成的查询的答案中获得的有限信息发生变化时,P或NP评估器的能力受到不同程度的影响。
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