@inproceedings{6ce00ffe4d5b4bf19c8777ecd8d0e102,
title = "Introducing symmetry to graph rewriting systems with process abstraction",
abstract = "Symmetry reduction in model checking is a technique for reducing state spaces by exploiting the inherent symmetry of models, i.e., the interchangeability of their subcomponents. Model abstraction, which abstracts away the details of models, often strengthens the symmetry of the models. Graph rewriting systems allow us to express models in such a way that inherent symmetry manifests itself with graph isomorphism of states. In graph rewriting, the synergistic effect of symmetry reduction and model abstraction is obtained under graph isomorphism. This paper proposes a method for abstracting programs described in a hierarchical graph rewriting language LMNtal. The method automatically finds and abstracts away subgraphs of a graph rewriting system that are irrelevant to the results of model checking. The whole framework is developed within the syntax and the formal semantics of the modeling language LMNtal without introducing new domains or languages. We show that the proposed abstraction method combined with symmetry reduction reduces state spaces while preserving the soundness of model checking. We implemented the method on SLIM, an implementation of LMNtal with an LTL model checker, tested it with various concurrent algorithms, and confirmed that it automatically reduces the number of states by successfully extracting the symmetry of models.",
keywords = "Abstraction, Graph rewriting systems, LMNtal, Model checking, Symmetry reduction",
author = "Taichi Tomioka and Yutaro Tsunekawa and Kazunori Ueda",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-23611-3_1",
language = "English",
isbn = "9783030236106",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag",
pages = "3--20",
editor = "Fernando Orejas and Esther Guerra",
booktitle = "Graph Transformation - 12th International Conference, ICGT 2019, Held as Part of STAF 2019, Proceedings",
note = "12th International Conference on Graph Transformation, ICGT 2019, Held as part of STAF 2019 ; Conference date: 15-07-2019 Through 16-07-2019",
}