Proof Environment

Proof environments are computational systems designed to formally verify mathematical theorems and software correctness, often employing interactive theorem provers like Coq and Lean. Current research heavily focuses on leveraging large language models (LLMs) to automate proof generation, exploring techniques like generate-then-repair approaches and incorporating informal reasoning steps to improve accuracy and efficiency. These advancements aim to reduce the significant manual effort required for formal verification, impacting fields like software engineering and AI safety by enabling more rigorous validation of complex systems.