DreamProver: Evolving Transferable Lemma Libraries via a Wake-Sleep Theorem-Proving Agent

📰 ArXiv cs.AI

Learn how DreamProver uses a wake-sleep theorem-proving agent to evolve transferable lemma libraries for formal theorem proving, enhancing adaptability and generality

advanced Published 30 Apr 2026
Action Steps
  1. Implement a wake-sleep program induction paradigm to discover reusable lemmas
  2. Use DreamProver's iterative two-stage process to evolve transferable lemma libraries
  3. Apply the wake stage to synthesize intermediate lemmas
  4. Apply the sleep stage to generalize and refine the lemmas
  5. Evaluate the performance of DreamProver using formal theorem-proving benchmarks
Who Needs to Know This

Researchers and developers in AI and formal theorem proving can benefit from this framework to improve the efficiency and effectiveness of their theorem-proving systems

Key Insight

💡 DreamProver's wake-sleep paradigm enables the discovery of reusable and generalizable lemmas, enhancing the adaptability of formal theorem-proving systems

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🤖 DreamProver: Evolving transferable lemma libraries via a wake-sleep theorem-proving agent 📝
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