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Proof assistants are getting more widespread use in research and industry to provide certified and independently checkable guarantees about theories, designs, systems and implementations. However, proof assistant implementations themselves…

Programming Languages · Computer Science 2021-07-19 Matthieu Sozeau

Large language models (LLMs) have demonstrated remarkable capabilities in code generation tasks. However, their effectiveness heavily relies on supervised training with extensive labeled (e.g., question-answering pairs) or unlabeled…

Computation and Language · Computer Science 2025-12-22 Jiajun Wu , Jian Yang , Wei Zhang , Lin Jing , Yuqing Ma , Ensheng Shi , Yuchi Ma , Zhoujun Li , Xianglong Liu

Vision-Language Models (VLMs) often generate plausible but incorrect responses to visual queries. However, reliably quantifying the effect of such hallucinations in free-form responses to open-ended queries is challenging as it requires…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Viraj Prabhu , Senthil Purushwalkam , An Yan , Caiming Xiong , Ran Xu

Formal verification can provably guarantee the correctness of critical system software, but the high proof burden has long hindered its wide adoption. Recently, Large Language Models (LLMs) have shown success in code analysis and synthesis.…

Formal Languages and Automata Theory · Computer Science 2023-11-27 Jianan Yao , Ziqiao Zhou , Weiteng Chen , Weidong Cui

Automated unit test generation is critical for software quality but traditional structure-driven methods often lack the semantic understanding required to produce realistic inputs and oracles. Large language models (LLMs) address this…

Software Engineering · Computer Science 2026-01-01 Bei Chu , Yang Feng , Kui Liu , Zhaoqiang Guo , Yichi Zhang , Hange Shi , Zifan Nan , Baowen Xu

Loop invariants are fundamental to reasoning about programs with loops. They establish properties about a given loop's behavior. When they additionally are inductive, they become useful for the task of formal verification that seeks to…

Instruction following has catalyzed the recent era of Large Language Models (LLMs) and is the foundational skill underpinning more advanced capabilities such as reasoning and agentic behaviors. As tasks grow more challenging, the logic…

Computation and Language · Computer Science 2026-01-28 Mian Zhang , Shujian Liu , Sixun Dong , Ming Yin , Yebowen Hu , Xun Wang , Steven Ma , Song Wang , Sathish Reddy Indurthi , Haoyun Deng , Zhiyu Zoey Chen , Kaiqiang Song

As Large Language Models for Code (LM4Code) become integral to software engineering, establishing trust in their output becomes critical. However, standard accuracy metrics obscure the underlying reasoning of generative models, offering…

Software Engineering · Computer Science 2026-04-14 Dipin Khati , Daniel Rodriguez-Cardenas , David N. Palacio , Alejandro Velasco , Michele Tufano , Denys Poshyvanyk

Large language models (LLMs) are being used in many applications and prompts for these models are integrated into software applications as code-like artifacts. These prompts behave much like traditional software in that they take inputs,…

Software Engineering · Computer Science 2026-02-09 Reshabh K Sharma , Jonathan De Halleux , Shraddha Barke , Dan Grossman , Benjamin Zorn

Large Language Models (LLMs) are increasingly capable of generating complete applications from natural language instructions, creating new opportunities in science and education. In these domains, interactive scientific demonstrations are…

Software Engineering · Computer Science 2026-05-21 Qiaosheng Chen , Yang Liu , Lei Li , Kai Chen , Qipeng Guo , Gong Cheng , Fei Yuan

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

This article describes the development and formal verification (proof of semantic preservation) of a compiler back-end from Cminor (a simple imperative intermediate language) to PowerPC assembly code, using the Coq proof assistant both for…

Logic in Computer Science · Computer Science 2009-11-14 Xavier Leroy

Theorem proving is a fundamental task in mathematics. With the advent of large language models (LLMs) and interactive theorem provers (ITPs) like Lean, there has been growing interest in integrating LLMs and ITPs to automate theorem…

Artificial Intelligence · Computer Science 2024-02-16 Rahul Vishwakarma , Subhankar Mishra

The problem-solving in automated theorem proving (ATP) can be interpreted as a search problem where the prover constructs a proof tree step by step. In this paper, we propose a deep reinforcement learning algorithm for proof search in…

Machine Learning · Computer Science 2018-11-05 Mitsuru Kusumoto , Keisuke Yahata , Masahiro Sakai

Although formal methods are capable of producing reliable software, they have seen minimal adoption in everyday programming. Automatic code generation using large language models is becoming increasingly widespread, but it rarely considers…

Software Engineering · Computer Science 2025-03-19 Aleksandr Shefer , Igor Engel , Stanislav Alekseev , Daniil Berezun , Ekaterina Verbitskaia , Anton Podkopaev

Large Language Models (LLMs) have shown potential for solving mathematical tasks. We show that LLMs can be utilized to generate proofs by induction for hardware verification and thereby replace some of the manual work done by Formal…

Logic in Computer Science · Computer Science 2026-05-04 Romy Peled , Daniel Kroening , Michael Tautschnig , Yakir Vizel

Background: Software systems powered by large language models are becoming a routine part of everyday technologies, supporting applications across a wide range of domains. In software engineering, many studies have focused on how LLMs…

Software Engineering · Computer Science 2025-08-05 Cleyton Magalhaes , Italo Santos , Brody Stuart-Verner , Ronnie de Souza Santos

Large Language Models (LLM) show strong abilities in code generation, but their skill in creating efficient parallel programs is less studied. This paper explores how LLMs generate task-based parallel code from three kinds of input prompts:…

Programming Languages · Computer Science 2026-02-27 Linus Bantel , Moritz Strack , Alexander Strack , Dirk Pflüger

Deploying large language model (LLM)-driven conversational agents in enterprise settings requires prompts that are simultaneously correct at launch and resilient to the non-deterministic behavioral drift that characterizes production LLM…

Artificial Intelligence · Computer Science 2026-05-18 Keshava Chaitanya , Jahnavi Gundakaram

We propose a novel approach to interactive theorem-proving (ITP) using deep reinforcement learning. The proposed framework is able to learn proof search strategies as well as tactic and arguments prediction in an end-to-end manner. We…

Machine Learning · Computer Science 2021-06-18 Minchao Wu , Michael Norrish , Christian Walder , Amir Dezfouli
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