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Theory of Computation
Q91 / 100
What is the Toda's theorem in complexity theory?
Correct! Well done.
Incorrect.
The correct answer is B) The polynomial hierarchy PH is contained in P^#P — a single call to a #P oracle suffices to solve any problem in PH
B
Correct Answer
The polynomial hierarchy PH is contained in P^#P — a single call to a #P oracle suffices to solve any problem in PH
Explanation
Toda's theorem (1991): PH ⊆ P^#P. This means any level of the polynomial hierarchy can be solved with one query to a counting oracle, showing counting is surprisingly powerful.
Progress
91/100