Acorn and the future of (AI?) theorem proving
11 days ago
- #AI
- #mathematics
- #theorem-proving
- Mathematical proofs typically start with a statement and build a list of statements leading to a conclusion.
- Lean, an interactive theorem prover, uses a programming-like syntax with named theorems, which differs from human mathematical practice.
- Acorn, another theorem prover, offers a more natural dialogue-like approach, where proofs are sequences of claims without needing named theorems.
- Acorn's approach involves the prover automatically searching for proofs of statements, with human assistance when needed.
- The interaction model in Acorn resembles explaining proofs rigorously to a computer, making it more intuitive than Lean's approach.
- This dialogue-based interaction could be applied to other fields where tasks can be broken down into verifiable subtasks.