Formal Verification

SorryDB: Can AI Really Prove Real-World Math Theorems? Imagine you’re a mathematician knee-deep in a complex proof, but you hit a wall. Instead of giving up, you jot down a placeholder—“sorry, I’ll finish this later”—and move on. Now, picture AI stepping in to fill those gaps automatically. That’s the promise of SorryDB, a groundbreaking benchmark introduced in the paper “SorryDB: Can AI Provers Complete Real-World Lean Theorems?” (arXiv:2603.02668). This isn’t some abstract academic exercise; it’s a practical testbed pulling “sorry” statements from 78 real GitHub projects, challenging AI to prove theorems that actual mathematicians are working on. ...