Neural Wani: Toward Accelerating the Automated Theorem Prover wani for Dependent Type Theory

Nanako Miyagawa, Hinari Daido, Daisuke Bekki


Abstract
This paper proposes Neural Wani, an integration of a neural model into the automated theorem prover wani for Dependent Type Theory (DTT), aimed at accelerating proof search in natural language inference (NLI) pipelines. We implemented a lightweight LSTM-based model to predict the probability distribution of applicable inference rules and integrated it into wani’s backward inference process. Evaluation using the JSeM dataset demonstrates that Neural Wani achieves a 1.41x speedup compared to the standard non-neural baseline. Although slight overhead is observed in simpler proofs, our results indicate that neural-symbolic integration effectively guides search in complex DTT-based automated theorem proving.
Anthology ID:
2026.brigap-1.2
Volume:
Proceedings of the Third Workshop on the Bridges and Gaps between Formal and Computational Linguistics (BriGap-3)
Month:
July
Year:
2026
Address:
Paris, France
Editors:
Timothée Bernard, Emmanuele Chersoni, Giulia Rambelli
Venues:
BriGap | WS
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
12–21
Language:
URL:
https://preview.aclanthology.org/ingest-brigap/2026.brigap-1.2/
DOI:
Bibkey:
Cite (ACL):
Nanako Miyagawa, Hinari Daido, and Daisuke Bekki. 2026. Neural Wani: Toward Accelerating the Automated Theorem Prover wani for Dependent Type Theory. In Proceedings of the Third Workshop on the Bridges and Gaps between Formal and Computational Linguistics (BriGap-3), pages 12–21, Paris, France. Association for Computational Linguistics.
Cite (Informal):
Neural Wani: Toward Accelerating the Automated Theorem Prover wani for Dependent Type Theory (Miyagawa et al., BriGap 2026)
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PDF:
https://preview.aclanthology.org/ingest-brigap/2026.brigap-1.2.pdf