2004 | OriginalPaper | Buchkapitel
Deriving Bisimulation Congruences in the DPO Approach to Graph Rewriting
verfasst von : Hartmut Ehrig, Barbara König
Erschienen in: Foundations of Software Science and Computation Structures
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Motivated by recent work on the derivation of labelled transitions and bisimulation congruences from unlabelled reaction rules, we show how to solve this problem in the DPO (double-pushout) approach to graph rewriting. Unlike in previous approaches, we consider graphs as objects, instead of arrows, of the category under consideration. This allows us to present a very simple way of deriving labelled transitions (called rewriting steps with borrowed context) which smoothly integrates with the DPO approach, has a very constructive nature and requires only a minimum of category theory. The core part of this paper is the proof sketch that the bisimilarity based on rewriting with borrowed contexts is a congruence relation.