arXiv AI By Vasily Ilin, Brian Nugent

Sorries Are Not the Hard Part: An Expert-Review Case Study of a Semi-Autonomous Formalization

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arXiv:2606. 13925v1 Announce Type: new Abstract: Large language models can often close proof gaps in interactive theorem provers, but a verified theorem is not the same thing as a reusable library contribution.

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arXiv AI
Aug 28

HybridProver: Augmenting Theorem Proving with LLM-Driven Proof Synthesis and Refinement

HybridProver is a unified framework that combines whole-proof synthesis and tactic-based generation using proof sketches as an intermediate representation. Implemented in Isabelle/HOL, it employs two 7B-scale LLMs trained on optimized Isabelle datasets. On the miniF2F Isabelle benchmark, HybridProver achieved a 73.8% success rate, surpassing the previous state of the art of 61.9%, and ablation studies examined the effects of dataset quality, training settings, and sampling strategies.

By Jilin Hu, Jianyu Zhang, Yongwang Zhao, Talia Ringer