Graph-based reaction systems were recently introduced as a generalization of the intensely studied set-based reaction systems. They deal with simple edge-labeled directed graphs, and dynamic semantics of graph-based reaction systems is defined by graph surfing as a novel kind of graph transformation where, in a single surf step, reactions are applied to a subgraph of a given background graph yielding a successor subgraph. In this paper, we propose a categorical approach to reaction systems so that a wider spectrum of data structures becomes available on which reaction systems can be based. In this way, many types of graphs, hypergraphs, and graph-like structures are covered.

翻译：最近采用了基于图形的反应系统,作为密集研究的基于集成反应系统的概略。这些系统处理简单的边缘标签定向图表,而基于图形的反应系统的动态语义则被图形冲浪定义为一种新型的图形转换,在一次冲浪中,对产生后续子图的某一背景图的子集应用反应。在本文中,我们建议对反应系统采取明确的方法,以便有更广泛的数据结构可供反应系统使用。这样,许多类型的图表、高频图和像图表一样的结构都覆盖在内。