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Double-pushout graph transformation revisited

Habel, A., Muller, J. and Plump, D. (2001) Double-pushout graph transformation revisited. Mathematical Structures in Computer Science, 11 (5). pp. 637-688. ISSN 0960-1295

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In this paper we investigate and compare four variants of the double-pushout approach to graph transformation. As well as the traditional approach with arbitrary matching and injective right-hand morphisms, we consider three variations by employing injective matching and/or arbitrary right-hand morphisms in rules. We show that injective matching provides additional expressiveness in two respects: for generating graph languages by grammars without non-terminals and for computing graph functions by convergent graph transformation systems. Then we clarify for each of the three variations whether the well-known commutativity, parallelism and concurrency theorems are still valid and – where this is not the case – give modified results. In particular, for the most general approach with injective matching and arbitrary right-hand morphisms, we establish sequential and parallel commutativity by appropriately strengthening sequential and parallel independence.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Computer Science (York)
Depositing User: York RAE Import
Date Deposited: 27 Mar 2009 10:04
Last Modified: 27 Mar 2009 10:04
Published Version: http://dx.doi.org/10.1017/S0960129501003425
Status: Published
Publisher: Cambridge University Press
Identification Number: 10.1017/S0960129501003425
URI: http://eprints.whiterose.ac.uk/id/eprint/6991

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