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cloud.google.com·7h ago
AI Research
arXiv CS.AI·Sep 4·5 min read
AutoGraphForge: Towards Automated Graph Theory Discovery
TL;DR
AutoGraphForge is a computational pipeline designed for automated graph-theoretic conjecturing, generating over 6,500 conjectures and proving nontrivial relations in graph theory. It integrates counterexample-guided generation and neural provers for formal verification.
✦ Why It Matters
Explore AutoGraphForge to enhance your graph theory research and automate conjecture generation.
Key Takeaways
- Utilize AutoGraphForge for automated conjecture generation in graph theory.
- Leverage the novelty filter to refine conjectures based on known results.
- Test conjectures against a large dataset of graphs for validation.
- Integrate neural provers for formal verification of mathematical statements.
How It Works
AutoGraphForge operates in rounds, starting with a small set of graphs and their invariants. It uses Graffiti3 to generate conjectures, which are filtered through a novelty check to ensure they are not already known.
Surviving conjectures are tested against a comprehensive dataset of graphs, and counterexamples are used to refine the conjectures further. The final stage translates these conjectures into Lean 4 statements, which are verified using neural provers.