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Mohan Paturi

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Satisfiability Algorithms IFine-Grained Complexity and Algorithm Design Boot Camp 20152015-08-31
Shows that combinatorial facts about K-CNF drive both algorithms and lower bounds: the satisfiability decoding lemma proves any K-CNF has at most 2^{n(1-1/K)}…
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Satisfiability Algorithms IIFine-Grained Complexity and Algorithm Design Boot Camp 20152015-08-31
Proves nonconstructive lower bounds showing most degree‑2 GF(2) polynomials need size 2^{n−o(n)} for depth‑3 circuits when bottom fan‑in k = o(log n)…
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Sparsification Lemma and ETHFine-Grained Complexity and Algorithm Design Boot Camp 20152015-08-31
Describes a concrete tool: the sparsification lemma that rewrites any k‑CNF, in 2^{εn} time, as a disjunction of linearly many linear‑size k‑CNFs while…
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