Question

Two sets named for this term are equal if second-order logic is unaffected by the transitive closure operation on relations. In a proof about the permanent of a matrix, Leslie Valiant formulated a set named for this term prepended with a sharp sign. (10[1])Inductively constructing sets denoted “capital pi-sub-i” and “capital sigma-sub-i” using oracles produces a “hierarchy” named for this term. This term appears twice in the name of a class identified with the set of Turing machines “with advice” that has a slash in its name. Reductions with runtime described by this term identify “complete” problems such as SAT (“sat”). Whether a class named for this term is equal to its non-deterministic (10[1])counterpart is the subject (10[1])of a Millennium Prize problem. For 10 points, give this term that names the complexity class P. ■END■

ANSWER: polynomial [accept P until it is read; accept polynomial time or polynomial space or polynomial hierarchy; accept NP or PH or P/poly or PSPACE or #P (“sharp-P”) until “P” is read]
<MY, Other Science>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Nathan SheffieldMIT ABrown A4210
Jerry ZhangHarvard BBrandeis A11110
Joy AnHarvard ABrandeis B11510

Summary

Great Lakes2025-02-01Y667%0%0%116.00
Lower Mid-Atlantic2025-02-01Y1100%0%0%133.00
Midwest2025-02-01Y560%0%20%115.33
Northeast2025-02-01Y3100%0%0%89.33