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We present \synver{}, a novel synthesis and verification framework for C programs, that deploys a Large Language Model (LLM) to search for a candidate program that satisfies the given specification. Our key idea is to impose syntactic and…

Programming Languages · Computer Science 2025-10-21 Prasita Mukherjee , Benjamin Delaware

Formal verification of memory-manipulating programs critically depends on precise function specifications that capture memory states written by experts. This requirement has become a major bottleneck as large language models (LLMs)…

Software Engineering · Computer Science 2026-03-17 Liao Zhang , Tong Chen , Xiwei Wu , Qi Liu , Xiyu Zhai , Xinqi Wang , Qinxiang Cao

Large language models can generate useful code from natural language, but their outputs come without correctness guarantees. Verifiable code generation offers a path beyond testing by requiring models to produce not only executable code,…

Software Engineering · Computer Science 2026-05-12 Zichen Xie , Mrigank Pawagi , Yuxin Liu , Aaditi Rai , Lize Shao , John Berberian , Sicong Che , Wenxi Wang

Formal verification provides a rigorous and systematic approach to ensure the correctness and reliability of software systems. Yet, constructing specifications for the full proof relies on domain expertise and non-trivial manpower. In view…

Software Engineering · Computer Science 2024-04-03 Cheng Wen , Jialun Cao , Jie Su , Zhiwu Xu , Shengchao Qin , Mengda He , Haokun Li , Shing-Chi Cheung , Cong Tian

Large language models for code generation increasingly rely on synthetic data, where both problem solutions and verification tests are generated by models. While this enables scalable data creation, it introduces a previously unexplored…

Software Engineering · Computer Science 2025-09-26 Srishti Gureja , Elena Tommasone , Jingyi He , Sara Hooker , Matthias Gallé , Marzieh Fadaee

An emerging branch of control theory specialises in certificate learning, concerning the specification of a desired (possibly complex) system behaviour for an autonomous or control model, which is then analytically verified by means of a…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Alec Edwards , Andrea Peruffo , Alessandro Abate

We present and test the largest benchmark for vericoding, LLM-generation of formally verified code from formal specifications - in contrast to vibe coding, which generates potentially buggy code from a natural language description. Our…

Large language models have become proficient at generating functional code, but ensuring the output truly matches the programmer's intent remains difficult. Testing improves trust, yet for safety-critical applications, formal verification…

Software Engineering · Computer Science 2026-02-03 Mantas Baksys , Stefan Zetzsche , Olivier Bouissou , Remi Delmas , Soonho Kong , Sean B. Holden

Synthetic verification techniques such as generating test cases and reward modelling are common ways to enhance the coding capabilities of large language models (LLM) beyond predefined tests. Additionally, code verification has recently…

Artificial Intelligence · Computer Science 2025-07-31 Aleksander Ficek , Somshubra Majumdar , Vahid Noroozi , Boris Ginsburg

Large language models possess impressive capabilities in generating programs (e.g., Python) from natural language descriptions to execute robotic tasks. However, these generated programs often contain errors that violate externally given…

Artificial Intelligence · Computer Science 2025-11-10 Yunhao Yang , Neel P. Bhatt , William Ward , Zichao Hu , Joydeep Biswas , Ufuk Topcu

Large language models (LLMs) have demonstrated remarkable progress in code generation, but many existing benchmarks are approaching saturation and offer little guarantee on the trustworthiness of the generated programs. To improve…

Software Engineering · Computer Science 2025-10-08 Xun Deng , Sicheng Zhong , Barış Bayazıt , Andreas Veneris , Fan Long , Xujie Si

Large language models can generate plausible code, but remain brittle for formal verification in proof assistants such as Lean. A central scalability challenge is that verified synthesis requires consistent artifacts across several coupled…

Machine Learning · Computer Science 2026-05-15 Robert Joseph George , Carson Eisenach , Udaya Ghai , Dominique Perrault-Joncas , Anima Anandkumar , Dean Foster

Large language models have demonstrated impressive capabilities in generating code, yet they often produce programs with flaws or deviations from intended behavior, limiting their suitability for safety-critical applications. To address…

Software Engineering · Computer Science 2025-04-08 Merlijn Sevenhuijsen , Khashayar Etemadi , Mattias Nyberg

Large language models are increasingly used to generate code from natural language, but ensuring correctness remains challenging. Formal verification offers a principled way to obtain such guarantees by proving that a program satisfies a…

Machine Learning · Computer Science 2026-04-14 Zhe Ye , Aidan Z. H. Yang , Huangyuan Su , Zhenyu Liao , Samuel Tenka , Zhizhen Qin , Udaya Ghai , Dawn Song , Soonho Kong

Formal specifications play a central role in ensuring software reliability and correctness. However, automatically synthesizing high-quality formal specifications remains a challenging task, often requiring domain expertise. Recent work has…

Software Engineering · Computer Science 2026-04-02 Md Rakib Hossain Misu , Iris Ma , Cristina V. Lopes

Researchers have recently designed a number of application-specific fault tolerance mechanisms that enable applications to either be naturally resilient to errors or include additional detection and correction steps that can bring the…

Programming Languages · Computer Science 2018-05-17 Brett Boston , Zoe Gong , Michael Carbin

Recent frontier large language models (LLMs) have shown strong performance in identifying security vulnerabilities in large, mature open-source systems. As LLM-generated code becomes increasingly common, a natural goal is to prevent such…

Software Engineering · Computer Science 2026-05-13 Zhaorui Li , Chengyu Song

Synthesis is a particularly challenging problem for concurrent programs. At the same time it is a very promising approach, since concurrent programs are difficult to get right, or to analyze with traditional verification techniques. This…

Formal Languages and Automata Theory · Computer Science 2015-06-09 Anca Muscholl

Large Language Models (LLMs) are widely used for code generation. However, the correctness of code generated by LLMs remains a concern. A potential remedy to this concern is to have LLMs generate formal correctness proofs along with such…

Software Engineering · Computer Science 2026-05-12 Nongyu Di , Tianyu Chen , Shan Lu , Shuai Lu , Yeyun Gong , Peng Cheng , Jacob R. Lorch , Yuan Yao , Xiaoxing Ma

Verifiers play a crucial role in large language model (LLM) reasoning, needed by post-training techniques such as reinforcement learning. However, reliable verifiers are hard to get for difficult coding problems, because a well-disguised…

Computation and Language · Computer Science 2025-06-02 Zhongmou He , Yee Man Choi , Kexun Zhang , Jiabao Ji , Junting Zhou , Dejia Xu , Ivan Bercovich , Aidan Zhang , Lei Li
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