- Abstract
LongCat-Flash-Prover is an open-source formal reasoning model from the Meituan LongCat team, which is aimed at mathematical proof tasks in the Lean4 environment. The project adopts a 560B-parameter MoE architecture that focuses on solving the whole process from informal questions to formal expressions, proof sketches, and complete proofs. It emphasizes reducing error rates in long-link proofs through tool integration reasoning and achieving strong results on multiple open-source theorem proof benchmarks.
- Core features
- Native formal reasoning: Regard formal reasoning as the core capability of the model, rather than a simple natural language chain thinking extension.
- Three-stage capability splitting: covering auto-formalization, sketching, and proving, corresponding to formal expressions, proof sketches, and complete proofs, respectively.
- Hybrid-Experts Iteration Framework: Used to construct large-scale, high-quality formal trajectory data and improve the quality of training samples.
- HisPO algorithm: used to stabilize long-term tool-integrated reasoning training, adapting to the strict feedback mechanism of formal reasoning.
- Strict verification pipeline: Combined with Lean4, theorem consistency check, and legitimacy detection, it reduces the problem of hallucinatory proofs and reward speculation.
- Installation
- Get the LongCat-Flash-Prover repository and usage instructions from the official GitHub.
- Prepare inference and verification dependencies according to the official environment requirements, and the core scenario revolves around the Lean4 toolchain.
- Get the model weights from Hugging Face and organize the inputs according to the official template.
- Due to the large scale of the model, the actual deployment is more suitable for environments with high-performance GPUs and complete inference infrastructure.
- Typical use cases
- Mathematical Theorem Proofs: Generate verifiable formal proofs in Lean4.
- Automatic formalization: convert natural language math problems into formal statements.
- Proof sketch generation: Mr. into a lemma style sketch, and then gradually complete the complete proof.
- Research assistance: used for formal mathematics, theorem proof process design and reasoning system evaluation.
- Ecology and competing products
- In terms of ecology, the project has provided GitHub, Hugging Face, and paper pages to facilitate researchers' reproduction and evaluation.
- Compared with the direct output of mathematical answers by general large models, LongCat-Flash-Prover emphasizes verifiable results in Lean4.
- Compared with open source models that only do natural language mathematical reasoning, its differences are tool integration reasoning, formal goals, and strict verification processes.
- Limitations and precautions
- This project is mainly oriented to formal mathematics and the Lean4 ecosystem, and is not equivalent to general chat or ordinary mathematical question and answer model.
- The scale of the model is large, and the deployment, inference cost and engineering complexity are high.
- Even if the verification mechanism is introduced, the performance under different data sets, budgets and attempts still needs to be understood in combination with actual evaluation.
- Formal proofs rely on specific toolchains and syntax environments, and cannot be directly equivalent when migrating to other proof assistants.
- Project address
https://github.com/meituan-longcat/LongCat-Flash-Prover
- Frequently asked questions
Q: What is the LongCat-Flash-Prover?
A: LongCat-Flash-Prover is an open-source formalized reasoning model for Lean4 that focuses on mathematical theorem proofing, automatic formalization, and proof generation.
Q: What does LongCat-Flash-Prover's HisPO algorithm do?
A: HisPO is used to stabilize long-duration tool-integrated reasoning training and reduce training instability in formal reasoning tasks.
Q: What core tasks does LongCat-Flash-Prover support?
A: It supports three types of core tasks: auto-formalization, sketching, and proving, corresponding to formal expressions, proof sketches, and full proofs.
Q: What are the benchmark scores for LongCat-Flash-Prover?
A: Official public results show that it has strong open-source results on tasks such as MiniF2F-Test, ProverBench, and PutnamBench.
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