AI RESEARCH

What are the Right Symmetries for Formal Theorem Proving?

arXiv CS.AI

ArXi:2605.22257v1 Announce Type: cross Formal theorem provers based on large language models (LLMs) are highly sensitive to superficial variations in problem representation: semantically equivalent statements can exhibit drastically different proof success rates, revealing a failure to respect structural symmetries inherent in formal mathematics. This raises a central question: what are the right symmetries for formal theorem proving? We