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.
| Original language | English |
|---|---|
| Title of host publication | Graph Transformation - 12th International Conference, ICGT 2019, Held as Part of STAF 2019, Proceedings |
| Editors | Fernando Orejas, Esther Guerra |
| Publisher | Springer-Verlag |
| Pages | 3-20 |
| Number of pages | 18 |
| ISBN (Print) | 9783030236106 |
| DOIs | |
| Publication status | Published - 2019 Jan 1 |
| Event | 12th International Conference on Graph Transformation, ICGT 2019, Held as part of STAF 2019 - Eindhoven, Netherlands Duration: 2019 Jul 15 → 2019 Jul 16 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 11629 LNCS |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Conference
| Conference | 12th International Conference on Graph Transformation, ICGT 2019, Held as part of STAF 2019 |
|---|---|
| Country | Netherlands |
| City | Eindhoven |
| Period | 19/7/15 → 19/7/16 |
Fingerprint
Keywords
- Abstraction
- Graph rewriting systems
- LMNtal
- Model checking
- Symmetry reduction
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)
Cite this
Introducing symmetry to graph rewriting systems with process abstraction. / Tomioka, Taichi; Tsunekawa, Yutaro; Ueda, Kazunori.
Graph Transformation - 12th International Conference, ICGT 2019, Held as Part of STAF 2019, Proceedings. ed. / Fernando Orejas; Esther Guerra. Springer-Verlag, 2019. p. 3-20 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11629 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Introducing symmetry to graph rewriting systems with process abstraction
AU - Tomioka, Taichi
AU - Tsunekawa, Yutaro
AU - Ueda, Kazunori
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
KW - Abstraction
KW - Graph rewriting systems
KW - LMNtal
KW - Model checking
KW - Symmetry reduction
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UR - http://www.scopus.com/inward/citedby.url?scp=85069168015&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-23611-3_1
DO - 10.1007/978-3-030-23611-3_1
M3 - Conference contribution
SN - 9783030236106
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 3
EP - 20
BT - Graph Transformation - 12th International Conference, ICGT 2019, Held as Part of STAF 2019, Proceedings
A2 - Orejas, Fernando
A2 - Guerra, Esther
PB - Springer-Verlag
ER -