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Local Look-Ahead Guidance via Verifier-in-the-Loop for Automated Theorem Proving

Created by
  • Haebom

Author

Sara Rajaee, Kumar Pratik, Gabriele Cesa, Arash Behboodi

Outline

In this paper, we propose a novel verifier integration design focusing on the automatic theorem proving (ATP) task to solve the high computational cost and time consumption of reinforcement learning (RL)-based methods for artificial intelligence inference. Unlike existing methods that utilize feedback for the entire inference process, the proposed method uses an automatic verifier to provide intermediate feedback at each step of the inference process. Using Lean as a verifier, we experimentally show that step-by-step local verification improves the overall inference accuracy and efficiency of the model.

Takeaways, Limitations

Takeaways: Shows that step-by-step feedback using automatic verifiers can improve the accuracy and efficiency of AI inference. Presents a novel approach to overcome the limitations of reinforcement learning-based methods in the ATP field.
Limitations: The design is dependent on the Lean verifier, so it needs to be reviewed for extensibility to other verification systems. Further studies are needed on the generalizability of the proposed method and its applicability to other inference tasks. Difficulty in generalization due to the dependency on a specific verification system (Lean).
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