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Large Language Models (LLMs) have demonstrated impressive capabilities in automated code generation but frequently produce code that fails formal verification, an essential requirement for hardware and safety-critical domains. To overcome…

Artificial Intelligence · Computer Science 2025-10-22 Manvi Jha , Jiaxin Wan , Deming Chen

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

The integration of retrieval-augmented techniques with LLMs has shown promise in improving performance across various domains. However, their utility in tasks requiring advanced reasoning, such as generating and evaluating mathematical…

Artificial Intelligence · Computer Science 2024-12-24 Majd Zayyad , Yossi Adi

Generative AI has shown its values for many software engineering tasks. Still in its infancy, large language model (LLM)-based proof generation lags behind LLM-based code generation. In this paper, we present AutoVerus. AutoVerus uses LLMs…

The strong performance of large language models (LLMs) raises extensive discussion on their application to code generation. Recent research suggests continuous program refinements through visible tests to improve code generation accuracy in…

Software Engineering · Computer Science 2025-05-26 Chao Lei , Yanchuan Chang , Nir Lipovetzky , Krista A. Ehinger

The adoption of Large Language Models (LLMs) is reshaping software development as developers integrate these LLMs into their applications. In such applications, prompts serve as the primary means of interacting with LLMs. Despite the…

Software Engineering · Computer Science 2025-01-14 Mahan Tafreshipour , Aaron Imani , Eric Huang , Eduardo Almeida , Thomas Zimmermann , Iftekhar Ahmed

Large Language Models (LLMs) are increasingly being used to automate programming tasks. Yet, LLMs' capabilities in reasoning about program semantics are still inadequately studied, leaving significant potential for further exploration. This…

Programming Languages · Computer Science 2025-05-30 Thanh Le-Cong , Bach Le , Toby Murray

Recent work by Clark et al. (2020) shows that transformers can act as 'soft theorem provers' by answering questions over explicitly provided knowledge in natural language. In our work, we take a step closer to emulating formal theorem…

Computation and Language · Computer Science 2020-10-07 Swarnadeep Saha , Sayan Ghosh , Shashank Srivastava , Mohit Bansal

With the growing popularity of Large Language Models (LLMs) in software engineers' daily practices, it is important to ensure that the code generated by these tools is not only functionally correct but also free of vulnerabilities. Although…

Software Engineering · Computer Science 2024-09-06 Mohammed Latif Siddiq , Joanna C. S. Santos , Sajith Devareddy , Anna Muller

Large Language Models (LLMs), particularly Code LLMs, have demonstrated impressive performance in code generation. Current research primarily focuses on the correctness of generated code, while efficiency remains less explored. Recent works…

Software Engineering · Computer Science 2025-02-27 Tong Ye , Weigang Huang , Xuhong Zhang , Tengfei Ma , Peiyu Liu , Jianwei Yin , Wenhai Wang

Scientific software relies on high-precision computation, yet finite floating-point representations can introduce precision errors that propagate in safety-critical domains. Despite the growing use of large language models (LLMs) in…

Software Engineering · Computer Science 2026-04-10 Tien Nguyen , Kirshanthan Sundararajah , Muhammad Ali Gulzar

Security vulnerabilities present in a code that has been written in diverse programming languages are among the most critical yet complicated aspects of source code to detect. Static analysis tools based on rule-based patterns usually do…

Cryptography and Security · Computer Science 2025-08-19 Hael Abdulhakim Ali Humran , Ferdi Sonmez

Ensuring correctness is a pivotal aspect of software engineering. Among the various strategies available, software verification offers a definitive assurance of correctness. Nevertheless, writing verification proofs is resource-intensive…

Software Engineering · Computer Science 2024-06-06 Lichen Zhang , Shuai Lu , Nan Duan

Software reliability is critical in ensuring that the digital systems we depend on function correctly. In software development, increasing software reliability often involves testing. However, for complex and critical systems, developers…

Software Engineering · Computer Science 2025-09-09 Francisco Oliveira , Alexandra Mendes , Carolina Carreira

Fully automated verification of large-scale software and hardware systems is arguably the holy grail of formal methods. Large language models (LLMs) have recently demonstrated their potential for enhancing the degree of automation in formal…

Software Engineering · Computer Science 2026-03-11 Zhongyi Wang , Tengjie Lin , Mingshuai Chen , Haokun Li , Mingqi Yang , Xiao Yi , Shengchao Qin , Yixing Luo , Xiaofeng Li , Bin Gu , Liqiang Lu , Jianwei Yin

Natural language processing for programming aims to use NLP techniques to assist programming. It is increasingly prevalent for its effectiveness in improving productivity. Distinct from natural language, a programming language is highly…

Computation and Language · Computer Science 2023-08-08 Qingfu Zhu , Xianzhen Luo , Fang Liu , Cuiyun Gao , Wanxiang Che

Concolic testing is a popular software verification technique based on a combination of concrete and symbolic execution. Its main focus is finding bugs and generating test cases with the aim of maximizing code coverage. A previous approach…

Logic in Computer Science · Computer Science 2020-09-23 Fred Mesnard , Etienne Payet , German Vidal

The advent of large language models trained on code (code LLMs) has led to significant progress in language-to-code generation. State-of-the-art approaches in this area combine LLM decoding with sample pruning and reranking using test cases…

Machine Learning · Computer Science 2023-09-04 Ansong Ni , Srini Iyer , Dragomir Radev , Ves Stoyanov , Wen-tau Yih , Sida I. Wang , Xi Victoria Lin

Proof Blocks is a software tool which enables students to write proofs by dragging and dropping prewritten proof lines into the correct order. These proofs can be graded completely automatically, enabling students to receive rapid feedback…

Computers and Society · Computer Science 2022-05-06 Seth Poulsen , Mahesh Viswanathan , Geoffrey L. Herman , Matthew West

Large Language Models (LLMs) play a pivotal role in both academic research and broader societal applications. LLMs are increasingly used in software testing activities such as test case generation, selection, and repair. However, several…

Software Engineering · Computer Science 2026-03-25 Fitash Ul Haq , Jordi Cabot
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