Hypergraph Construction and Its Application to the Compositional Modelling of Concurrency

Title:: Hypergraph Construction and Its Application to the Compositional Modelling of Concurrency
Document type:: Technical Report
Author(s):: Barbara Koenig
Abstract:: We define a construction operation on hypergraphs using a colimit 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.
Keywords:: hypergraph; double-pushout; graph rewriting; types
Year:: 2000
Year / month:: 2000-02-01 00:00:00
Pages:: 22
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