On categorical approach to reaction systems

IF 1.7 4区 计算机科学 Q3 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Mariusz Kaniecki, Łukasz Mikulski
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引用次数: 0

Abstract

In every matured theory, there is a need to investigate possible relationships between considered objects. To address this issue, it is natural to relate a category with given model of computing. Thanks to such approach, many properties are unified and simplified. In this paper, we investigate how category theory can be used to give a faithful semantics for reaction systems. In particular, we propose and discuss possible approaches to the problem of defining morphisms between reaction systems. We provide the definition of morphism that keeps the behaviour of the original reaction system. Especially, some equivalences of reaction systems are reflected in terms of morphisms. For this purpose we expressed isomorphisms and sections in term of transition systems. Moreover, the accelerating morphism defined in the last section gives a new approach for including time in reaction systems.

Abstract Image

关于反应系统的分类方法
在每一个成熟的理论中,都需要研究被考虑对象之间可能存在的关系。要解决这个问题,自然要把一个类别与给定的计算模型联系起来。由于采用了这种方法,许多属性得到了统一和简化。在本文中,我们将研究如何利用范畴理论为反应系统提供忠实的语义。特别是,我们提出并讨论了定义反应系统之间的态的可能方法。我们提供了保持原始反应系统行为的变形定义。特别是,反应系统的一些等价关系用形态来反映。为此,我们用过渡系统来表示同构和截面。此外,上一节中定义的加速形态为将时间纳入反应系统提供了一种新方法。
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来源期刊
Natural Computing
Natural Computing Computer Science-Computer Science Applications
CiteScore
4.40
自引率
4.80%
发文量
49
审稿时长
3 months
期刊介绍: The journal is soliciting papers on all aspects of natural computing. Because of the interdisciplinary character of the journal a special effort will be made to solicit survey, review, and tutorial papers which would make research trends in a given subarea more accessible to the broad audience of the journal.
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