Kimina Lean Server: A High-Performance Lean Server for Large-Scale Verification

Fuente: arXiv
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Autori principali: Santos, Marco Dos, de Saxcé, Hugues, Wang, Haiming, Wang, Ran, Baksys, Mantas, Unsal, Mert, Liu, Junqi, Liu, Zhengying, Li, Jia
Natura: Preprint
Pubblicazione: 2025
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author Santos, Marco Dos
de Saxcé, Hugues
Wang, Haiming
Wang, Ran
Baksys, Mantas
Unsal, Mert
Liu, Junqi
Liu, Zhengying
Li, Jia
author_facet Santos, Marco Dos
de Saxcé, Hugues
Wang, Haiming
Wang, Ran
Baksys, Mantas
Unsal, Mert
Liu, Junqi
Liu, Zhengying
Li, Jia
contents We introduce the Kimina Lean Server, an open-source project designed as a high-performance verifier for reinforcement learning pipelines. Built on top of the Lean REPL (Read-Eval-Print Loop) maintained by the Lean FRO, our server combines server-side parallelism by managing multiple Lean processes in parallel with a Least Recently Used (LRU) caching mechanism that reuses Lean imports across requests. On the client side, a lightweight Python package enables submitting proof batches and receiving Lean feedback, including extracted tactics and tactic states. Together, these features enable a scalable workflow for large-scale verification and data extraction. In our experiments, the Kimina Lean Server outperforms previous Lean interaction tools, achieving a 1.5 to 2 times speedup in verification time. Moreover, its improved efficiency has enabled its use in the large-scale training of state-of-the-art models such as Kimina-Prover. We hope that our open-source project will support the neural theorem proving community and accelerate future progress by enabling efficient large-scale verification and proof data extraction.
format Preprint
id arxiv_https___arxiv_org_abs_2504_21230
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Kimina Lean Server: A High-Performance Lean Server for Large-Scale Verification
Santos, Marco Dos
de Saxcé, Hugues
Wang, Haiming
Wang, Ran
Baksys, Mantas
Unsal, Mert
Liu, Junqi
Liu, Zhengying
Li, Jia
Logic in Computer Science
We introduce the Kimina Lean Server, an open-source project designed as a high-performance verifier for reinforcement learning pipelines. Built on top of the Lean REPL (Read-Eval-Print Loop) maintained by the Lean FRO, our server combines server-side parallelism by managing multiple Lean processes in parallel with a Least Recently Used (LRU) caching mechanism that reuses Lean imports across requests. On the client side, a lightweight Python package enables submitting proof batches and receiving Lean feedback, including extracted tactics and tactic states. Together, these features enable a scalable workflow for large-scale verification and data extraction. In our experiments, the Kimina Lean Server outperforms previous Lean interaction tools, achieving a 1.5 to 2 times speedup in verification time. Moreover, its improved efficiency has enabled its use in the large-scale training of state-of-the-art models such as Kimina-Prover. We hope that our open-source project will support the neural theorem proving community and accelerate future progress by enabling efficient large-scale verification and proof data extraction.
title Kimina Lean Server: A High-Performance Lean Server for Large-Scale Verification
topic Logic in Computer Science
url https://arxiv.org/abs/2504.21230