Researchers have developed LRAT-Catcher, a tool that imports SAT solver certificates into the Lean 4 theorem prover. This tool utilizes a formally verified LRAT checker compiled as native code via reflection, enabling it to handle larger instances than Mathlib's proof-term import. LRAT-Catcher also supports cube-and-conquer solving within Lean, combining refutations with a cover-completeness certificate into a single unsatisfiability theorem. The tool has been evaluated on establishing the Schur number S(4) and the Ramsey number R(4,4) as Lean theorems. AI
IMPACT Enhances formal verification capabilities for complex combinatorial problems, potentially aiding AI safety and alignment research.
RANK_REASON The item describes a new tool and methodology for importing SAT solver certificates into a theorem prover, which is a research contribution in the field of formal methods and logic. [lever_c_demoted from research: ic=1 ai=0.7]
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