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App. Res. of Comp. Accepted Paper
Vol. 43, 2026 No. 2

Well-structured consistency verification method for UML multi-view models based on theorem proof

Wu Runfang1
Du Ye1,2
Li Meihong1,2
1. Beijing Jiaotong University, School of Cyberspace Security, Beijing 100044, China
2. Beijing Jiaotong University, Tangshan Research Institute of Beijing Jiaotong University, Hebei, Tangshan 063000, China
DOI: 10.19734/j.issn.1001-3695.2025.05.0220

Abstract

To address the challenge of well-formedness and consistency verification in UML multi-view models of complex systems, this paper proposed a dual-layer verification framework that integrates structural mapping with theorem proving. The framework systematically tackles modeling quality risks caused by cross-view semantic entanglement and structural coupling. Specifically, it employed a structural mapping-based invariant verification algorithm (SMIVA) to automatically extract structural correspondences among three UML views and generate well-formedness assertions ensuring key invariants. Using the interactive theorem prover Coq, the framework constructed a formal assertion system to transform behavioral semantics and state transitions into decidable propositions for semantic consistency. A case study on an e-commerce system demonstrated the successful proof of 13 well-formed consistency theorems. The experimental results validate the effectiveness of this method in assertion coverage, automation capability, and verification efficiency, providing strong support for improving UML modeling quality and automated analysis.

Foundation Support

中央高校基本科研业务费专项资金资助项目(2024JBZX018)
中央引导地方科技发展资金项目(246Z0705G)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2025.05.0220
Publish at: Application Research of Computers Accepted Paper, Vol. 43, 2026 No. 2

Publish History

[2025-11-03] Accepted Paper

Cite This Article

吴润方, 杜晔, 黎妹红. 基于定理证明的UML多视图模型良构一致性验证方法 [J]. 计算机应用研究, 2026, 43 (2). (2025-11-04). https://doi.org/10.19734/j.issn.1001-3695.2025.05.0220. (Wu Runfang, Du Ye, Li Meihong. Well-structured consistency verification method for UML multi-view models based on theorem proof [J]. Application Research of Computers, 2026, 43 (2). (2025-11-04). https://doi.org/10.19734/j.issn.1001-3695.2025.05.0220. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.

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