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多值交互时序逻辑的模型检验研究

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为了对包含多值信息的开放系统进行形式化验证,在多值逻辑的基础上提出了多值交互时序逻辑并研究了该逻辑的模型检验问题.首先,引入多值并发博弈结构作为此类开放系统的模型,该模型的最大特点是可以建模带有多值信息的开放系统.其次,给出基于此模型的多值交互时序逻辑的语法和语义,该逻辑可以描述带有多值信息的待验证属性.最后,基于不动点理论给出多值交互时序逻辑的模型检验算法,并对算法的时间复杂度进行了分析,结果表明,可以在多项式时间内完成对多值交互时序逻辑的模型检验.
Model Checking Research of Multi-valued Alternating-time Temporal Logic
In order to formally verify open systems containing multi-valued information,a multi-valued al-ternating-time temporal logic was proposed based on multi-valued logic,and the model checking problem of this logic was explored. Firstly,a multi-valued concurrent game structure was introduced as a model for such open systems. The key feature of the model was that it could model open systems with multi-val-ued information. Secondly,the syntax and semantics of multi-valued alternating-time temporal logic based on this model were provided,which could describe properties with multi-valued information to be verified. Finally,a model checking algorithm for multi-valued alternating-time temporal logic was pro-posed based on fixed-point theory,and the time complexity of the algorithm was analyzed. The analysis results indicated that model checking for multi-valued alternating-time temporal logic could be completed in polynomial time.

model checkingmulti-valued logicalternating-time temporal logicconcurrent game structure

凌灿红、常亮、周洁、潘海玉

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桂林电子科技大学广西可信软件重点实验室 广西桂林 541004

上海师范大学数理学院 上海 200234

模型检验 多值逻辑 交互时序逻辑 并发博弈结构

2025

郑州大学学报(理学版)
郑州大学

郑州大学学报(理学版)

北大核心
影响因子:0.437
ISSN:1671-6841
年,卷(期):2025.57(2)