Formal Proof

Formal proof research centers on automatically generating and optimizing rigorous mathematical proofs using computational methods, primarily aiming to reduce human effort and improve proof quality. Current research focuses on leveraging large language models (LLMs) within interactive theorem provers, employing techniques like generate-then-repair approaches and recursive proof generation to overcome LLMs' limitations in handling low-level proof details and long contexts. These advancements are significant for improving the reliability and accessibility of formal verification in diverse fields, including software engineering and AI safety, by enabling more efficient and robust proof generation and analysis.