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Ranking LLM-Generated Loop Invariants for Program Verification

Saikat Chakraborty, Shuvendu Lahiri, Sarah Fakhoury, Akash Lal, Madanlal Musuvathi, Aseem Rastogi, Aditya Senthilnathan, Rahul Sharma, Nikhil Swamy


Abstract
Synthesizing inductive loop invariants is fundamental to automating program verification. In this work we observe that Large Language Models (such as gpt-3.5 or gpt-4) are capable of synthesizing loop invariants for a class of programs in a 0-shot setting, yet require several samples to generate the correct invariants. This can lead to a large number a calls to a program verifier to establish an invariant. To address this issue, we propose a re-ranking approach for the generated results of LLMs. We have designed a ranker that can distinguish between correct inductive invariants and incorrect attempts based on the problem definition. The ranker is optimized as a contrastive ranker. Experimental results demonstrate that this re-ranking mechanism significantly improves the ranking of correct invariants among the generated candidates, leading to a notable reduction in the number of calls to a verifier.
Anthology ID:
2023.findings-emnlp.614
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2023
Month:
December
Year:
2023
Address:
Singapore
Editors:
Houda Bouamor, Juan Pino, Kalika Bali
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
9164–9175
Language:
URL:
https://aclanthology.org/2023.findings-emnlp.614
DOI:
10.18653/v1/2023.findings-emnlp.614
Bibkey:
Cite (ACL):
Saikat Chakraborty, Shuvendu Lahiri, Sarah Fakhoury, Akash Lal, Madanlal Musuvathi, Aseem Rastogi, Aditya Senthilnathan, Rahul Sharma, and Nikhil Swamy. 2023. Ranking LLM-Generated Loop Invariants for Program Verification. In Findings of the Association for Computational Linguistics: EMNLP 2023, pages 9164–9175, Singapore. Association for Computational Linguistics.
Cite (Informal):
Ranking LLM-Generated Loop Invariants for Program Verification (Chakraborty et al., Findings 2023)
Copy Citation:
PDF:
https://aclanthology.org/2023.findings-emnlp.614.pdf