VGPT-RSI for RH-Adjacent Formal Progress: Boundary Certificates, Verified Finite Lagarias Inequalities, and Explicit Failure Localization
A new research paper introduces VGPT-RSI, a verifiable AI-assisted reasoning system designed to make formal progress on complex mathematical problems like the Riemann Hypothesis. The system successfully constructed and verified a finite boundary certificate for an RH-adjacent inequality and initiated a formal certificate for the Lagarias criterion. VGPT-RSI also explicitly identified the remaining mathematical obstructions, demonstrating its capability to produce certified progress while acknowledging genuine mathematical challenges. AI
IMPACT Demonstrates AI's potential in formal mathematical reasoning and identifying research bottlenecks.