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Explore the development of advanced tools designed to make proof assistants more accessible and powerful through this conference talk from Institut Henri Poincaré. Learn about Flèche, an innovative document manager for the Rocq proof assistant that was originally created for educational purposes but has evolved into a comprehensive platform for building enhanced proof assistants. Discover how Flèche addresses the notorious challenges of learning and using proof assistants by incorporating extensive user and developer feedback to provide unique features and extensibility options. Understand the dual objectives of creating a production-ready platform for extending proof assistants at the document level while maintaining rigorous scientific development standards. Examine specialized tools for LLM-assisted proofs, including the petanque and rocq-mcp protocols built on Flèche that enable seamless interaction between large language models and the Rocq prover. Investigate how these protocols facilitate the design of intelligent agents that combine natural language reasoning with interactive proof search to formalize mathematical proofs. Explore the training of specialized LLM assistants capable of suggesting tactics, searching for relevant theorems, translating results between different proof assistants, and guiding user interactions with these sophisticated tools.
