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AI system AutoGraphForge automates graph theory conjecture discovery and proof

By PulseAugur Editorial · [2 sources] ·

Researchers have developed AutoGraphForge, a computational pipeline designed to automate the discovery and proving of graph theory conjectures. The system generates conjectures using a counterexample-guided approach, filters them for novelty, and tests them against a large dataset of graphs. Surviving conjectures are then formalized and proven using integrated neural provers, with proofs verified against a Lean 4 formalization framework. This process has yielded over 6,500 conjectures, including new relations between graph properties, which are currently undergoing full pipeline verification. AI

IMPACT Automates complex mathematical discovery, potentially accelerating research in theoretical computer science and mathematics.

RANK_REASON The cluster describes a research paper detailing a new computational pipeline for automated discovery and proving in graph theory.

Read on Hugging Face Daily Papers →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

AI system AutoGraphForge automates graph theory conjecture discovery and proof

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The cluster describes a research paper detailing a new computational pipeline for automated discovery and proving in graph theory.
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COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · J\'an Pastorek ·

    AutoGraphForge: Towards Automated Graph Theory Discovery

    arXiv:2609.03478v1 Announce Type: new Abstract: We report on our ongoing project to develop a computational pipeline, AutoGraphForge, for an automated graph-theoretic conjecturing-refuting-formalizing-proving system. Conjecture generation is counterexample-guided and runs in roun…

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    AutoGraphForge: Towards Automated Graph Theory Discovery

    We report on our ongoing project to develop a computational pipeline, AutoGraphForge, for an automated graph-theoretic conjecturing-refuting-formalizing-proving system. Conjecture generation is counterexample-guided and runs in rounds: a Graffiti3 generator proposes conjectures o…

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