# Large Lemma Miners: Can LLMs do Induction Proofs for Hardware?

arXiv: https://arxiv.org/abs/2511.02521 · HTML: https://mlsanity.com/paper/2511.02521/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Nov 2025.

## Built on by (most cited first, 1 of 1)

- [Can LLM Aid in Solving Constraints with Inductive Definitions?](https://mlsanity.com/paper/2603.03668/) (2026)

## Abstract (arXiv)

Large Language Models (LLMs) have shown potential for solving mathematical tasks. We show that LLMs can be utilized to generate proofs by induction for hardware verification and thereby replace some of the manual work done by Formal Verification engineers and deliver industrial value. We present a neurosymbolic approach that includes two prompting frameworks to generate candidate invariants, which are checked using a formal, symbolic tool. Our results indicate that with sufficient reprompting, LLMs are able to generate inductive arguments for mid-size open-source RTL designs. For 84% of our problem set, at least one of the prompt setups succeeded in producing a provably correct inductive argument.