| J. Tor'an, "Structural Properties of the Counting Hierarchy", Ph.D. thesis, Facultat d'Informatica de Barcelona, 1988. |
....whether k 1 questions to NP cannot be answered by k questions to C= P. In fact we find that in some relativized world, there are sets that are recognizable with k 1 queries to NP that cannot be recognized with k queries to C= P. One may regard this as a generalization of the result of Tor an [21] that relative to some oracle, NP is not contained in C= P. In order to do this we again adapt the technique of [12] section 4) to appropriate circuit problems. In section 6 an oracle is constructed which separates every level of the Boolean hierarchy over NP from a level of the Boolean hierarchy ....
J. Tor'an, "Structural Properties of the Counting Hierarchy", Ph.D. thesis, Facultat d'Informatica de Barcelona, 1988.
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