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Towards Autoformalization of LLM-generated Outputs for Requirement Verification

arXiv 2511.11829 ↗First posted 14 Nov 2025cs.CL cs.AI cs.FLcited by 0

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Abstract (arXiv)

Autoformalization, the process of translating informal statements into formal logic, has gained renewed interest with the emergence of powerful Large Language Models (LLMs). While LLMs show promise in generating structured outputs from natural language (NL), such as Gherkin Scenarios from NL feature requirements, there's currently no formal method to verify if these outputs are accurate. This paper takes a preliminary step toward addressing this gap by exploring the use of a simple LLM-based autoformalizer to verify LLM-generated outputs against a small set of natural language requirements. We conducted two distinct experiments. In the first one, the autoformalizer successfully identified that two differently-worded NL requirements were logically equivalent, demonstrating the pipeline's potential for consistency checks. In the second, the autoformalizer was used to identify a logical inconsistency between a given NL requirement and an LLM-generated output, highlighting its utility as a formal verification tool. Our findings, while limited, suggest that autoformalization holds significant potential for ensuring the fidelity and logical consistency of LLM-generated outputs, laying a crucial foundation for future, more extensive studies into this novel application.

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References · 20

  1. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
  2. 2021MiniF2F: a cross-system benchmark for formal Olympiad-level mathematicscited by 391
  3. 2023Llemma: An Open Language Model For Mathematicscited by 388
  4. 2022Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofscited by 291
  5. 2025DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decompositioncited by 287
  6. 2022Autoformalization with Large Language Modelscited by 263
  7. 2024DeepSeek-Prover-V1.5: Harnessing Proof Assistant Feedback for Reinforcement Learning and Monte-Carlo Tree Searchcited by 197
  8. 2023ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematicscited by 192
  9. 2025Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learningcited by 180
  10. 2025BFS-Prover: Scalable Best-First Tree Search for LLM-based Automatic Theorem Provingcited by 84
  11. 2024Formal Mathematical Reasoning: A New Frontier in AIcited by 81
  12. 2024Don't Trust: Verify -- Grounding LLM Quantitative Reasoning with Autoformalizationcited by 55
8 more
  1. 2024Autoformalize Mathematical Statements by Symbolic Equivalence and Semantic Consistencycited by 41
  2. 2023Towards Autoformalization of Mathematics and Code Correctness: Experiments with Elementary Proofscited by 27
  3. 2024Autoformalizing Euclidean Geometrycited by 27
  4. 2025PDE-Controller: LLMs for Autoformalization and Reasoning of PDEscited by 23
  5. 2025ATLAS: Autoformalizing Theorems through Lifting, Augmentation, and Synthesis of Datacited by 23
  6. 2025Autoformalization in the Era of Large Language Models: A Surveycited by 21
  7. 2025Automated Formalization via Conceptual Retrieval-Augmented LLMscited by 5
  8. 2025From Knowledge Generation to Knowledge Verification: Examining the BioMedical Generative Capabilities of ChatGPTcited by 4

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