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Test or prove? These two approaches to software verification have long been presented as opposites. One is dynamic, the other static: a test executes the program, a proof only analyzes the program text. A different perspective is emerging,…

Software Engineering · Computer Science 2026-02-10 Li Huang , Bertrand Meyer , Manuel Oriol

Reinforcement Learning with Verifiable Rewards (RLVR) has proven to be a highly effective strategy for endowing Large Language Models (LLMs) with robust multi-step reasoning abilities. However, its design and optimizations remain tailored…

Computation and Language · Computer Science 2026-04-15 Zhenhailong Wang , Xuehang Guo , Sofia Stoica , Haiyang Xu , Hongru Wang , Hyeonjeong Ha , Xiusi Chen , Yangyi Chen , Ming Yan , Fei Huang , Heng Ji

Couplings are a powerful mathematical tool for reasoning about pairs of probabilistic processes. Recent developments in formal verification identify a close connection between couplings and pRHL, a relational program logic motivated by…

Programming Languages · Computer Science 2018-03-16 Gilles Barthe , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

Trustworthy environment perception is the fundamental basis for the safe deployment of automated agents such as self-driving vehicles or intelligent robots. The problem remains that such trust is notoriously difficult to guarantee in the…

Signal Processing · Electrical Eng. & Systems 2020-10-01 Florian Geissler , Alex Unnervik , Michael Paulitsch

We introduce Prove-It, a Python-based general-purpose interactive theorem-proving assistant designed with the goal of making formal theorem proving as easy and natural as informal theorem proving (with moderate training). Prove-It uses a…

Logic in Computer Science · Computer Science 2020-12-29 Wayne M. Witzel , Warren D. Craft , Robert D. Carr , Joaquín E. Madrid Larrañaga

Formal verification tools are often developed by experts for experts; as a result, their usability by programmers with little formal methods experience may be severely limited. In this paper, we discuss this general phenomenon with…

Software Engineering · Computer Science 2015-08-20 Carlo A. Furia , Christopher M. Poskitt , Julian Tschannen

We propose a synthesis of the two proof styles of interactive theorem proving: the procedural style (where proofs are scripts of commands, like in Coq) and the declarative style (where proofs are texts in a controlled natural language, like…

Logic in Computer Science · Computer Science 2015-07-01 Freek Wiedijk

Multimodal large language models increasingly solve vision-centric tasks by calling external tools for visual inspection, OCR, retrieval, calculation, and multi-step reasoning. Current tool-using agents usually expose the executed tool…

Computation and Language · Computer Science 2026-05-12 Bihui Yu , Caijun Jia , Jing Chi , Xiaohan Liu , Yining Wang , He Bai , Yuchen Liu , Jingxuan Wei , Junnan Zhu

Fact verification (FV) is a challenging task which requires to retrieve relevant evidence from plain text and use the evidence to verify given claims. Many claims require to simultaneously integrate and reason over several pieces of…

Computation and Language · Computer Science 2019-08-07 Jie Zhou , Xu Han , Cheng Yang , Zhiyuan Liu , Lifeng Wang , Changcheng Li , Maosong Sun

Chain-of-Thought (CoT) prompting plays an indispensable role in endowing large language models (LLMs) with complex reasoning capabilities. However, CoT currently faces two fundamental challenges: (1) Sufficiency, which ensures that the…

Computation and Language · Computer Science 2025-10-28 Xiangning Yu , Zhuohan Wang , Linyi Yang , Haoxuan Li , Anjie Liu , Xiao Xue , Jun Wang , Mengyue Yang

In safety-critical applications, practitioners are reluctant to trust neural networks when no interpretable explanations are available. Many attempts to provide such explanations revolve around pixel-based attributions or use previously…

Machine Learning · Computer Science 2022-07-25 Armeen Taeb , Nicolo Ruggeri , Carina Schnuck , Fanny Yang

Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run…

Logic in Computer Science · Computer Science 2025-05-30 Rolf Drechsler

Language models (LMs) are capable of conducting in-context learning for multiple choice reasoning tasks, but the options in these tasks are treated equally. As humans often first eliminate wrong options before picking the final correct…

Computation and Language · Computer Science 2023-10-25 Chenkai Ma , Xinya Du

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, leading to their adoption in high-stakes domains such as healthcare, law, and scientific research. However, their reasoning often contains subtle logical…

Software Engineering · Computer Science 2025-12-30 Xinyi Zheng , Ningke Li , Xiaokun Luan , Kailong Wang , Ling Shi , Meng Sun , Haoyu Wang

Interpretability is significant in computational pathology, leading to the development of multimodal information integration from histopathological image and corresponding text data.However, existing multimodal methods have limited…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Kangcheng Zhou , Jun Jiang , Qing Zhang , Shuang Zheng , Qingli Li , Shugong Xu

Multimodal reasoning with vision-language models (VLMs) often suffers from hallucinations, as models tend to generate explanations after only a superficial inspection of the image. We present \textbf{CoRGI}(\textbf{C}hain \textbf{o}f…

Artificial Intelligence · Computer Science 2025-10-15 Shixin Yi , Lin Shang

The chain-of-thought technique has been received well in multi-modal tasks. It is a step-by-step linear reasoning process that adjusts the length of the chain to improve the performance of generated prompts. However, human thought processes…

Artificial Intelligence · Computer Science 2024-04-09 Juncheng Yang , Zuchao Li , Shuai Xie , Wei Yu , Shijun Li , Bo Du

Recent breakthroughs in reasoning language models have significantly advanced text-based reasoning. On the other hand, Multi-modal Large Language Models (MLLMs) still lag behind, hindered by their outdated internal LLMs. Upgrading these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yunhao Gou , Kai Chen , Zhili Liu , Lanqing Hong , Xin Jin , Zhenguo Li , James T. Kwok , Yu Zhang

Human beings naturally utilize multiple reasoning modalities to learn and solve logical problems, i.e., different representational formats such as natural language, code, and symbolic logic. In contrast, most existing LLM-based approaches…

Computation and Language · Computer Science 2025-06-11 Tong Zheng , Lichang Chen , Simeng Han , R. Thomas McCoy , Heng Huang

An efficient intuitionistic first-order prover integrated into Coq is useful to replay proofs found by external automated theorem provers. We propose a two-phase approach: An intuitionistic prover generates a certificate based on the matrix…

Logic in Computer Science · Computer Science 2016-06-21 Fabian Kunze