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Recent advances in large language models have significantly improved their ability to perform mathematical reasoning, extending from elementary problem solving to increasingly capable performance on research-level problems. However,…

AI systems, in particular with deep learning techniques, have demonstrated superior performance for various real-world applications. Given the need for tailored optimization in specific scenarios, as well as the concerns related to the…

Artificial Intelligence · Computer Science 2024-11-12 Zhiyu Zhu , Zhibo Jin , Hongsheng Hu , Minhui Xue , Ruoxi Sun , Seyit Camtepe , Praveen Gauravaram , Huaming Chen

For all the successes in verifying low-level, efficient, security-critical code, little has been said or studied about the structure, architecture and engineering of such large-scale proof developments. We present the design, implementation…

Programming Languages · Computer Science 2023-07-10 Son Ho , Aymeric Fromherz , Jonathan Protzenko

Despite the vast body of research literature proposing algorithms with formal guarantees, the amount of verifiable code in today's systems remains minimal. This discrepancy stems from the inherent difficulty of verifying code, particularly…

Software Engineering · Computer Science 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

Software testing plays a critical role in ensuring that systems behave as intended. However, existing automated testing approaches struggle to match the capabilities of human engineers due to key limitations such as test locality, lack of…

Software Engineering · Computer Science 2025-06-16 Kangping Xu , Yifan Luo , Yang Yuan , Andrew Chi-Chih Yao

This paper presents composable attestation as a generalized cryptographic framework for Continuous and Incremental Trust in Distributed Systems,such as Artificial Intelligence (AI) computation, and Open Source Software (OSS) supply chain…

Cryptography and Security · Computer Science 2026-03-04 Sheng Sun , Sarah Evans

Formal, automated theorem proving has long been viewed as a challenge to artificial intelligence. We introduce here a new approach to computer theorem proving, one that employs specialized language models for Lean4 proof generation combined…

Artificial Intelligence · Computer Science 2025-12-17 Kelly J. Davis

Foundational verification allows programmers to build software which has been empirically shown to have high levels of assurance in a variety of important domains. However, the cost of producing foundationally verified software remains…

Programming Languages · Computer Science 2020-06-01 Alex Sanchez-Stern , Yousef Alhessi , Lawrence Saul , Sorin Lerner

Automated proof generation for formal software verification remains largely unresolved despite advances in large language models (LLMs). While LLMs perform well in NLP, vision, and code generation, formal verification still requires…

Logic in Computer Science · Computer Science 2026-04-10 Youngjoo Ahn , Sangyeop Yeo , Gijung Im , Jongmin Lee , Jinyoung Yeo , Jieung Kim

AI agents have shown initial promise in automating mathematical theorem proving in proof assistants such as Lean. The same proof assistants can be used to verify the correctness of code by pairing code with specifications and proofs that…

Software Engineering · Computer Science 2024-10-11 Evan Lohn , Sean Welleck

Formal software specification is known to enable early error detection and explicit invariants, yet it has seen limited industrial adoption due to its high notation overhead and the expertise required to use traditional formal languages.…

Software Engineering · Computer Science 2026-01-16 Antonio Abu Nassar , Eitan Farchi

Code readability is fundamental to software quality and maintainability. Poor readability extends development time, increases bug-inducing risks, and contributes to technical debt. With the rapid advancement of Large Language Models, AI…

Software Engineering · Computer Science 2026-03-17 Kyogo Horikawa , Kosei Horikawa , Yutaro Kashiwa , Hidetake Uwano , Hajimu Iida

With the advent of AI-based coding engines, it is possible to convert natural language requirements to executable code in standard programming languages. However, AI-generated code can be unreliable, and the natural language requirements…

Software Engineering · Computer Science 2024-11-06 Martin Mirchev , Andreea Costea , Abhishek Kr Singh , Abhik Roychoudhury

The recent progress of artificial intelligence(AI) has shown great potentials for alleviating human burden in various complex tasks. From the view of software engineering, AI techniques can be seen in many fundamental aspects of…

Software Engineering · Computer Science 2021-03-02 Wenhe Zhang , Jin He , Kevin Song

Automatically generated code is gaining traction recently, owing to the prevalence of Large Language Models (LLMs). Further, the AlphaProof initiative has demonstrated the possibility of using AI for general mathematical reasoning.…

Software Engineering · Computer Science 2026-04-14 Haoxin Tu , Huan Zhao , Yahui Song , Mehtab Zafar , Ruijie Meng , Abhik Roychoudhury

In various provers and deductive verification tools, logical transformations are used extensively in order to reduce a proof task into a number of simpler tasks. Logical transformations are often part of the trusted base of such tools. In…

Logic in Computer Science · Computer Science 2021-07-07 Quentin Garchery

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

Compositional verification algorithms are well-studied in the context of model checking. Properly selecting components for verification is important for efficiency, yet has received comparatively less attention. In this paper, we address…

Formal Languages and Automata Theory · Computer Science 2024-08-19 Ian Dardik , April Porter , Eunsuk Kang

Development of formal proofs of correctness of programs can increase actual and perceived reliability and facilitate better understanding of program specifications and their underlying assumptions. Tools supporting such development have…

Logic in Computer Science · Computer Science 2020-03-17 Talia Ringer , Karl Palmskog , Ilya Sergey , Milos Gligoric , Zachary Tatlock

As artificial intelligence plays an increasingly important role in our society, there are ethical and moral obligations for both businesses and researchers to ensure that their machine learning models are designed, deployed, and maintained…

Machine Learning · Computer Science 2020-07-07 Shubham Sharma , Jette Henderson , Joydeep Ghosh