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arXiv 2402.00964cs.LO
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反变模拟的逻辑

Logics for Contravariant Simulations

Ignacio Fábregas, David de Frutos-Escrig, Miguel Palomino

AI总结:

本文针对协变-反变模拟与一致性模拟这两种更贴合系统规范实现验证的模拟推广形式,证明其不仅适配通用模拟研究的范畴框架,还拥有简洁自然的逻辑刻画。

摘要:

协变-反变模拟与一致性模拟是简单模拟概念的两种推广形式,旨在刻画“行为数量并非越多越好”这一事实,因此可认为它们更适合用于表达系统是某规范的正确实现这一情况。我们此前已证明,这两种更精细的概念能够很好地适配为通用研究模拟概念而建立的范畴框架。现在我们进一步表明,尽管它们的行为逻辑刻画比普通模拟语义的逻辑刻画更复杂,但同样具备简洁自然的逻辑表征。

英文摘要:

Covariant-contravariant simulation and conformance simulation are two generalizations of the simple notion of simulation which aim at capturing the fact that it is not always the case that "the larger the number of behaviors, the better". Therefore, they can be considered to be more adequate to express the fact that a system is a correct implementation of some specification. We have previously shown that these two more elaborated notions fit well within the categorical framework developed to study the notion of simulation in a generic way. Now we show that their behaviors have also simple and natural logical characterizations, though more elaborated than those for the plain simulation semantics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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