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Exponential time hypothesis

Category: Computer Science

Status: Queued

The ETH conjectures that 3-SAT requires 2^Ω(n) time. The strong ETH refines this: k-SAT requires Ω((2-ε_k)^n) time with ε_k → 0 as k → ∞.

If true, ETH/SETH provide tight lower bounds for many problems via fine-grained complexity. Refutation would imply major algorithmic breakthroughs.

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