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Isaac Newton Institute for Mathematical Sciences

The 2025 Big Proof workshop is a follow-up to the successful 2017 Big Proof programme at the INI and the 2019 follow-up workshop at ICMS. Since these workshops, there has been an explosion of work in the large-scale formalization of mathematics with spinoff activity targeting mathematical models in other fields. The 2025 Workshop is an opportunity to exchange experiences and ideas and craft a forward-looking research roadmap. The workshop will focus on pragmatic foundations, scalable proof automation, tradeoffs between expressiveness and automation, interchange formats, indexable digital libraries, the role of machine learning in proof, social aspects of digital mathematics, and broader applications of proof technology. We hope to build on the enthusiastic response to prior Big Proof events to plan and launch major initiatives around the large-scale formalization of mathematical knowledge.