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cloud.google.com·6h ago
AI Research
arXiv CS.AI·Jul 24·5 min read
Case study: proving sqrt(2) irrational with LPTP and an LLM
TL;DR
A case study demonstrates the use of a Large Language Model (LLM) alongside the Logic Program Theorem Prover (LPTP) to formally prove that the square root of 2 is irrational. The collaboration resulted in a complete proof that is both human-readable and machine-verified.
✦ Why It Matters
Consider integrating LLMs with formal verification tools in your logic programming projects for enhanced proof generation.
Key Takeaways
- Explore using LLMs for generating formal proofs.
- Utilize LPTP for human-readable logic programming.
- Engage AI to assist in complex logical reasoning tasks.
- Verify AI-generated proofs with established theorem provers.
How It Works
The study employs LPTP, which uses natural deduction to create human-readable proofs. By defining basic predicates in logic programming, the authors constructed a proof of the irrationality of sqrt(2).
The LLM was then used to generate parts of this proof, demonstrating how AI can assist in formal logic tasks.