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Limits and Constants of OpenAI's Claimed ETH Refutation

Dias, Fabio et al.
arXiv (All) · Papers
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combinatoricscomputational-complexitydata-structures-and-algorithmsf-2-2g-2-1
A recent OpenAI preprint claims a deterministic algorithm that counts the satisfying assignments of a $k$-CNF formula in time $2^{O_k(n\log\log n/\sqrt{\log n})}$, and $2^{O(n/\sqrt{\log n})}$ at bounded clause density, which would refute the Exponential Time Hypothesis. The headline bound is proved
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