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About this paper

MIT Hardness Group, Josh Brunner, Erik D. Demaine, Fabian Frei, Timothy Gomez, Markus Hecher, Jeffery Li, Jayson Lynch

The authors show that the Satisfiability Hypothesis, which measures the full length of a CNF formula, is equivalent to Weak ETH and can support a general rule for transferring lower bounds through reductions. The rule tracks instance-size blowup and loses exponent strength. It recovers many ETH-based bounds conditionally, but not every fine-grained lower bound, including the k×k Clique bound.

Summary by alphaXiv.

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