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Rule-level verification of graph transformations for invariants based on edges' transitive closure

Percebois, Christian and Strecker, Martin and Tran, Hanh Nhi Rule-level verification of graph transformations for invariants based on edges' transitive closure. (2013) In: 11th International Conference Software Engineering and Formal Methods (SEFM 2013), 25 September 2013 - 27 September 2013 (Madrid, Spain).

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Official URL: http://dx.doi.org/10.1007/978-3-642-40561-7_8

Abstract

This paper develops methods to reason about graph transformation rules for proving the preservation of structural properties, especially global properties on reachability. We characterize a graph transformation rule with an applicability condition specifying the matching conditions of the rule on a host graph as well as the properties to be preserved during the transformation. Our previous work has demonstrated the possibility to reason about a graph transformation at rulelevel with applicability conditions restricted to Boolean combinations of edge expressions. We now extend the approach to handle the applicability conditions containing transitive closure of edges, which implicitly refer to an unbounded number of nodes. We show how these can be internalized into a finite pattern graph in order to enable verification of global properties on paths instead of local properties on edges only.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 8137 Lecture Notes in Computer Science ISSN : 0302-9743. ISBN: 978-3-642-40560-0. The original PDF is available at : http://link.springer.com/chapter/10.1007%2F978-3-642-40561-7_8
HAL Id:hal-01178554
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:01 Jul 2015 08:51

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