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Igor Oliveira

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titleconferencedate
Unprovability of Strong Complexity Lower Bounds in Bounded ArithmeticProof Complexity and Meta-Mathematics 20232023-03-20
Unconditional result: APC_1 cannot prove LB3 — a single sentence asserting a mild average‑case separation between ∃∀∃ and ∀∃∀ circuits (poly‑size π3 versus…
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Addition is Exponentially Harder than Counting for Shallow Monotone CircuitsConnections Between Algorithm Design and Complexity Theory2015-09-28
Defines U_d_n as d n‑bit numbers whose sum is at least 2^n, a monotone function represented by a single threshold gate. Proves any depth-d monotone majority…
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