Claude independently disproves the 27-year-old Exponential Time Hypothesis (ETH), with the discovery made on the same day as OpenAI’s.
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Beating AI News Flash: OpenAI announced yesterday that AI has overturned the Exponential Time Hypothesis (ETH), which was proposed in 1999. Today, Anthropic also released independent research results from Claude. Surprisingly, both companies disclosed the same discovery date: October 16. The ETH posits that some computational problems are extremely hard, and no matter how algorithms are optimized, the computation time will surge exponentially as the problem scale grows when tackling the hardest instances. Both models have found sub-exponential time algorithms that break this limit, and can even accurately calculate the number of valid solutions to 3-SAT problems, rather than just determining whether a solution exists. Anthropic revealed that Claude independently derived the core algorithm without any intermediate human input, generating around 14 million tokens during the entire research process. Anthropic researchers then collaborated with Claude to organize and polish the paper. Both sides have now published their papers and Lean formal proofs, awaiting further verification from the academic community.
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