Compile to Compress: Boosting Formal Theorem Provers by Compiler Outputs
Researchers have developed a new framework to improve the efficiency of formal theorem provers by leveraging compiler outputs. This method uses a learning-to-refine approach that exploits the compression of diverse proof attempts into structured failure modes by compilers. The system performs tree search, correcting errors based on verifier feedback to avoid the high computational costs of extensive proof exploration. Evaluations show this approach enhances prover capabilities and achieves state-of-the-art performance on PutnamBench for models around 8B and 32B parameters within comparable time budgets. AI
IMPACT Introduces a novel method to enhance AI-driven formal verification, potentially reducing computational costs and improving reasoning capabilities in complex theorem-proving tasks.