Graph Rewriting Components

We introduce a component model for graph rewriting that allows to model a system as a network of components with interfaces representing shared views of internal states and transformations. Their composition assembles a global view whose behaviour is equivalent to the synchronised distributed execution of local components in the network. Formally, components are arrows in a category with interfaces as objects that, with suitable component connectors, forms a Frobenius algebra. This allows the use of string diagrams to model the architecture of basic components and connectors, such that their assembly is freely generated by the algebraic structure. The compositionality of the proposed model is reflected by Structural Operational Semantic rules.