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NeuroNL2LTL: A Neurosymbolic Framework for Natural Language Translation of Linear Temporal Logic

Summary

NeuroNL2LTL is a neurosymbolic framework that integrates learned translation with formal verification to convert natural language requirements into Linear Temporal Logic (LTL) specifications. By using a structure-preserving intermediate representation and verifier-in-the-loop training, it achieves 28% semantic equivalence and 86% satisfiability verification on over 200,000 requirements across multiple domains.

SourcearXiv AIAuthor: Paapa Kwesi Quansah, Ernest Bonnah
NeuroNL2LTL: A Neurosymbolic Framework for Natural Language Translation of Linear Temporal Logic
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[2605.22874] NeuroNL2LTL: A Neurosymbolic Framework for Natural Language Translation of Linear Temporal Logic

[Submitted on 20 May 2026]

Title:NeuroNL2LTL: A Neurosymbolic Framework for Natural Language Translation of Linear Temporal Logic

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Abstract:Effectively translating between natural language (NL) and formal logics like Linear Temporal Logic (LTL) requires expertise that limits formal verification's reach in safety-critical development. Template-based approaches sacrifice expressiveness for reliability; neural methods achieve fluency but provide no correctness guarantees. We present NeuroNL2LTL, a neurosymbolic architecture unifying learned translation with formal verification. NeuroNL2LTL routes translation through an intermediate representation whose mapping to LTL is structure-preserving by construction. Generated specifications undergo satisfiability and non-triviality checking; a minimal-edit repair mechanism corrects near-miss outputs before they reach downstream tools. The central innovation is verifier-in-the-loop training: verification outcomes serve as reward signals for reinforcement learning, producing neural components that optimize directly for formal correctness. On 200,000+ requirements spanning aerospace, robotics, autonomous vehicles, and ten additional domains, NeuroNL2LTL achieves 28\% semantic equivalence with reference specifications while ensuring 86\% of outputs are verified satisfiable. The system also generates contextually grounded explanations from LTL, enabling domain experts to validate specifications without specialized training. This work demonstrates that formal verification can function as both training objective and runtime filter for neural specification systems, allowing us to build neural-based tools whose reliability derives from logical guarantees rather than statistical confidence.

Subjects:

Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO)

Cite as: arXiv:2605.22874 [cs.AI]

(or arXiv:2605.22874v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2605.22874

arXiv-issued DOI via DataCite

Submission history

From: Ernest Bonnah [view email] [v1] Wed, 20 May 2026 03:31:51 UTC (38 KB)

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Key points

  • NeuroNL2LTL uses verifier-in-the-loop training, leveraging verification outcomes as reinforcement learning rewards to optimize neural components for formal correctness.
  • An intermediate representation ensures structure-preserving mapping to LTL, with minimal-edit repair for near-miss outputs.
  • Evaluated on 200,000+ requirements from aerospace, robotics, autonomous vehicles, and ten other domains, the system achieves 28% exact semantic equivalence and 86% verifiable satisfiability.
  • The work demonstrates that formal verification can serve as both training objective and runtime filter for neural specification systems, providing reliability through logical guarantees.

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