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The complexity of the pigeonhole princip le

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Lower Bounds for Subset Sum in Resolution with Modular Counting

cs.CC · 2022-02-16 · unverdicted · novelty 7.0

Proves 2^Ω(r) lower bounds for dag-like Res(lin_F_q) refutations of (s,r)-robust Subset Sum instances and 2^Ω(((q+1)ln q)^{-1/3} d^{1/5}) for tree-like refutations, where d is the code minimum distance.

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  • Lower Bounds for Subset Sum in Resolution with Modular Counting cs.CC · 2022-02-16 · unverdicted · none · ref 1

    Proves 2^Ω(r) lower bounds for dag-like Res(lin_F_q) refutations of (s,r)-robust Subset Sum instances and 2^Ω(((q+1)ln q)^{-1/3} d^{1/5}) for tree-like refutations, where d is the code minimum distance.