arXiv:2605.29955v1 Announce Type: new Abstract: We present AutoformBot, a multi-agent system for building an Autoformalized Textbook Library At Scale (Atlas) in Lean 4. AutoformBot orchestrates thousands of LLM agents, equipped with formal verification tools, dependency-aware task scheduling, and collaborative version control, to translate informal textbook prose into machine-checked definitions and proofs. We apply our methods to a corpus of 26 open-access textbooks spanning analysis, algebra, topology, combinatorics, and probability, producing Atlas: a verified library of over 45,000 Lean 4
The rapid advancement of large language models and formal verification tools enables the automated translation of complex mathematical texts into machine-checkable proofs.
This development significantly lowers the barrier to formalizing mathematics, accelerating research and development in fields reliant on rigorous proof and verification.
The ability to autoformalize vast libraries of mathematics changes the scale at which formal verification can be applied, moving beyond human-intensive efforts.
- · AI researchers
- · Formal verification developers
- · Mathematics education
- · Software engineers
- · Manual formalization efforts
- · Undocumented mathematical theories
Massive libraries of machine-checked mathematics become available, drastically improving the reliability of complex systems.
AI agents gain the ability to reason and prove at advanced mathematical levels, expanding their capabilities significantly.
The development of new mathematical theories could be accelerated by AI-assisted proof generation and validation, potentially leading to breakthroughs in science and engineering.
This signal links to a primary source. Continuum Brief monitors and indexes it as part of the live intelligence stream — we do not republish source content.
Read at arXiv cs.AI