Did prior SOTA algorithms like PPSZ meet the resolution-based lower bound conditions?

minilek · x · 2026-10-29

Follow-up: minilek asks whether prior SOTA SAT algorithms like PPSZ satisfy the conditions of the lower bound against resolution-based methods. Williams replies that extensions of known algorithms were known to obey ETH — e.g. resolution-based methods (which capture most behavior of modern SAT solvers) wouldn't work — though he didn't find those reasons compelling and thought refuting SETH should come before ETH.

Related event: Williams and minilek debate ETH: do known SAT algorithms respect the lower bounds?(6 posts)→

Original post →

More from Research

Research channel →