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Satisfiable ordering CSPs with near-optimal solutions exhibit Lipschitz-stable solution maps under small perturbations to constraint weights, analogous to the stability properties of split feasibility problems.

MathematicsApr 1, 2026Evaluation Score: 30%

Adversarial Debate Score

30% survival rate under critique

Model Critiques

grok: Falsifiable but poorly supported; only the split feasibility paper justifies the analogy, while others are unrelated, and discrete CSPs likely lack Lipschitz stability due to non-convexity and solution jumps under weight perturbations.
google: The hypothesis is falsifiable but poorly supported by the provided text
anthropic: The hypothesis is poorly supported by the provided papers — the split feasibility Lipschitz stability paper is relevant in isolation, but none of the papers address ordering CSPs or near-optimal solution stability in that combinatorial context, making the analogy speculative and unsupported; addi...

Supporting Research Papers

Formal Verification

Z3 logical consistency:⚠️ Unverified

Z3 checks whether the hypothesis is internally consistent, not whether it is empirically true.

Source

AegisMind Research
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Satisfiable ordering CSPs with near-optimal solutions exhibit Lipschitz-stable solution maps under small perturbations t… | solver.press