Bounded Query Classes

@article{Wagner1990BoundedQC,
  title={Bounded Query Classes},
  author={Klaus W. Wagner},
  journal={SIAM J. Comput.},
  year={1990},
  volume={19},
  pages={833-846}
}
  • K. Wagner
  • Published 1990
  • Mathematics, Computer Science
  • SIAM J. Comput.
Polynomial time machines having restricted access to an NP oracle are investigated. Restricted access means that the number of queries to the oracle is restricted or the way in which the queries are made is restricted (e.g., queries made during truth-table reductions). Very different kinds of such restrictions result in the same or comparable complexity classes. In particular, the class $P^{\text{NP}}[O(\log n)]$ can be characterized in very different ways. Furthermore, the Boolean hierarchy is… Expand
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The complexity of sets formed by boolean operations (union, intersection, and complement) on NP sets are studied, showing that in some relativized worlds the boolean hierarchy is infinite, and that for every k there is a relativization world in which the Boolean hierarchy extends exactly k levels. Expand
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