Understanding Vibe Proving

"Vibe Proving" is a method for using Large Language Models (LLMs) to generate mathematical proofs, addressing the paradox of their creative yet unreliable nature. The proposed solution involves a two-step process where an LLM first generates a candidate proof, which is then checked for correctness by a separate, trusted software verifier. This approach externalizes trust from the generative model to the verification software, ensuring the final output is logically sound. To enable this verification, mathematical reasoning is codified into a formal, symbolic language that allows a computer to mechanically check each step of a proof for validity.