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How does Ryan Williams say strong ETH relates to the P versus NP question?

Answered from MIT Professor: What is Strong ETH (Recently Proven False By OpenAI) | Ryan Williams · Ryan Peterman · 2026-10-27

Ryan Williams calls strong ETH a severe strengthening of P versus NP. P versus NP asks only whether SAT has a polynomial-time algorithm; strong ETH goes much further and says SAT needs close to 2^n time in the worst case. If strong ETH holds, P is different from NP, but the reverse does not follow.

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▸More from this episode

Q1What is the strong exponential time hypothesis, as Ryan Williams explains it?Q3Does MIT professor Ryan Williams believe the strong exponential time hypothesis is true?Q4Why does Ryan Williams say SAT is easy in practice but still hard in the worst case?Q5How did Ryan Williams turn failed attempts to refute strong ETH into other results?Q6Why does Ryan Williams find it useful to assume strong ETH is false?
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