Hypergraph Construction and its Application to the Compositional Modelling of Concurrency
We define a construction operation on hypergraphs using a co-limit and show that its expressiveness concerning graph rewriting is equal to the graph expressions of Courcelle and the double-pushout approach of Ehrig. With an inductive way of representing graphs, graph rewriting arises naturally as a derived concept. The usefulness of our approach for the compositional modelling of concurrent systems is then shown by defining the semantics of a process calculus with mobility and of petri nets.
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