LeanCSP: A Framework for Certifying Constraint Reformulation and Solving in Lean
LeanCSP checks both the reformulation and the solver certificate inside Lean, so the external solver does not have to be trusted.
The framework proves properties such as equivalence, equisatisfiability, and symmetry-breaking correctness for whole constraint-problem families. It also checks certificates for individual instances through backends including MiniZinc, SMT-LIB, and OPB. The authors report that verified symmetry breaking cut solver search effort by up to `2x10^7`, with in-Lean certification taking at most a few minutes on their largest instances. ArXiv · AI/CL/LG's note
The framework proves properties such as equivalence, equisatisfiability, and symmetry-breaking correctness for whole constraint-problem families. It also checks certificates for individual instances through backends including MiniZinc, SMT-LIB, and OPB. The authors report that verified symmetry breaking cut solver search effort by up to `2x10^7`, with in-Lean certification taking at most a few minutes on their largest instances. ArXiv · AI/CL/LG's note
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