Smoothed Complexity Theory
نویسندگان
چکیده
منابع مشابه
A Smoothed Complexity Theory
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We establish an upper bound on the smoothed complexity of convex hulls in R under uniform Euclidean (`2) noise. Specifically, let {p1, p2, . . . , pn} be an arbitrary set of n points in the unit ball in R and let pi = pi + xi, where x1, x2, . . . , xn are chosen independently from the unit ball of radius δ. We show that the expected complexity, measured as the number of faces of all dimensions,...
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QSAT (QBF) INSTANCE: Boolean expression φ in CNF with variables x1, . . . , xn. QUESTION: Is there a truth value for the variable x1 such that for both truth values of x2 there is a truth value for x3 and so on up to xn, such that φ is satisfied by the overall truth assignment? Notation An instance of QSAT is written as ∃x1∀x2∃x3 · · ·Qxnφ, where Q is ∀ if n is even and ∃ if n is odd. Theorem Q...
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ژورنال
عنوان ژورنال: ACM Transactions on Computation Theory
سال: 2015
ISSN: 1942-3454,1942-3462
DOI: 10.1145/2656210