Compile to Compress: Supercharging Formal Theorem Provers with Compiler Feedback

This research introduces a brilliant 'learning-to-refine' framework that cleverly uses compiler feedback to map failed proof attempts into structured failure modes. By avoiding the massive computational costs traditionally required for long context windows, this approach makes advanced mathematical theorem proving much more scalable. It is incredibly exciting to see state-of-the-art results on PutnamBench achieved simply by correcting local errors efficiently.