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Refined Graph Rewriting in Span-Categories

A Framework for Algebraic Graph Transformation

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Book cover Graph Transformations (ICGT 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7562))

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Abstract

There are three major algebraic approaches to graph transformation, namely the double-pushout (DPO), single-pushout (SPO), and sesqui-pushout approach (SqPO). In this paper, we present a framework that generalises all three approaches. The central issue is a gluing construction, which is a generalisation of the construction introduced in [14]. It has pushout-like properties wrt. composition and decomposition, which allow to reestablish major parts of the theory for the algebraic approaches on a general level. We investigate parallel independence here.

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Löwe, M. (2012). Refined Graph Rewriting in Span-Categories. In: Ehrig, H., Engels, G., Kreowski, HJ., Rozenberg, G. (eds) Graph Transformations. ICGT 2012. Lecture Notes in Computer Science, vol 7562. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33654-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-33654-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33653-9

  • Online ISBN: 978-3-642-33654-6

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