Inductive invariant checking with partial negative application conditions

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Inductive invariant checking with partial negative application conditions is written by Dyck, Johannes and published by Universitätsverlag Potsdam. It's available with International Standard Book Number or ISBN identification 3869563338 (ISBN 10) and 9783869563336 (ISBN 13).

Graph transformation systems are a powerful formal model to capture model transformations or systems with infinite state space, among others. However, this expressive power comes at the cost of rather limited automated analysis capabilities. The general case of unbounded many initial graphs or infinite state spaces is only supported by approaches with rather limited scalability or expressiveness. In this report we improve an existing approach for the automated verification of inductive invariants for graph transformation systems. By employing partial negative application conditions to represent and check many alternative conditions in a more compact manner, we can check examples with rules and constraints of substantially higher complexity. We also substantially extend the expressive power by supporting more complex negative application conditions and provide higher accuracy by employing advanced implication checks. The improvements are evaluated and compared with another applicable tool by considering three case studies.