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StepFun-Formalizer: Unlocking the Autoformalization Potential of LLMs through Knowledge-Reasoning Fusion

Yutong Wu, Di Huang, Ruosi Wan, Yue Peng, Shijie Shang, Chenrui Cao, Lei Qi, Rui Zhang, Zidong Du, Jie Yan, Xing Hu

2025-08-07

StepFun-Formalizer: Unlocking the Autoformalization Potential of LLMs
  through Knowledge-Reasoning Fusion

Summary

This paper talks about StepFun-Formalizer, a system that helps large language models automatically turn informal ideas or explanations into formal, precise statements or proofs using a process called autoformalization. It uses a new pipeline called ThinkingF to improve how models understand formal knowledge and reason through problems.

What's the problem?

The problem is that translating everyday, informal language into exact formal language used in math or logic is very hard for AI models. Existing methods often don’t do this accurately, limiting their ability to help with formal reasoning tasks like verifying proofs or solving complex problems.

What's the solution?

The solution was to develop ThinkingF, which creates training data and improves the reasoning skills of language models by combining knowledge about formal systems with better reasoning steps. This fusion helps models understand and transform informal ideas into formal expressions more accurately.

Why it matters?

This matters because autoformalization can make it easier for people to use AI in math, science, and programming by letting models understand complex ideas more precisely. It pushes AI closer to helping with advanced problem-solving and making formal verification faster and more reliable.

Abstract

ThinkingF, a data synthesis and training pipeline, enhances autoformalization by improving formal knowledge and informal-to-formal reasoning, achieving state-of-the-art results in formalization tasks.