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

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.
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01178554
Contributor : Open Archive Toulouse Archive Ouverte (oatao) <>
Submitted on : Monday, July 20, 2015 - 1:32:44 PM
Last modification on : Thursday, October 17, 2019 - 8:54:06 AM
Long-term archiving on : Wednesday, October 21, 2015 - 10:48:21 AM

File

percebois_12897.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01178554, version 1
  • OATAO : 12897

Citation

Christian Percebois, Martin Strecker, Hanh Nhi Tran. Rule-level verification of graph transformations for invariants based on edges' transitive closure. 11th International Conference Software Engineering and Formal Methods (SEFM 2013), Sep 2013, Madrid, Spain. pp. 106-121. ⟨hal-01178554⟩

Share

Metrics

Record views

381

Files downloads

217