Invariant Analysis for Multi-Agent Graph Transformation Systems using k-Induction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Invariant Analysis for Multi-Agent Graph Transformation Systems using k-Induction write by Sven Schneider. This book was released on 2022-11-17. Invariant Analysis for Multi-Agent Graph Transformation Systems using k-Induction available in PDF, EPUB and Kindle. The analysis of behavioral models such as Graph Transformation Systems (GTSs) is of central importance in model-driven engineering. However, GTSs often result in intractably large or even infinite state spaces and may be equipped with multiple or even infinitely many start graphs. To mitigate these problems, static analysis techniques based on finite symbolic representations of sets of states or paths thereof have been devised. We focus on the technique of k-induction for establishing invariants specified using graph conditions. To this end, k-induction generates symbolic paths backwards from a symbolic state representing a violation of a candidate invariant to gather information on how that violation could have been reached possibly obtaining contradictions to assumed invariants. However, GTSs where multiple agents regularly perform actions independently from each other cannot be analyzed using this technique as of now as the independence among backward steps may prevent the gathering of relevant knowledge altogether. In this paper, we extend k-induction to GTSs with multiple agents thereby supporting a wide range of additional GTSs. As a running example, we consider an unbounded number of shuttles driving on a large-scale track topology, which adjust their velocity to speed limits to avoid derailing. As central contribution, we develop pruning techniques based on causality and independence among backward steps and verify that k-induction remains sound under this adaptation as well as terminates in cases where it did not terminate before.
k-Inductive invariant checking for graph transformation systems
k-Inductive invariant checking for graph transformation systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook k-Inductive invariant checking for graph transformation systems write by Dyck, Johannes. This book was released on 2017-09-15. k-Inductive invariant checking for graph transformation systems available in PDF, EPUB and Kindle. While offering significant expressive power, graph transformation systems often come with rather limited capabilities for automated analysis, particularly if systems with many possible initial graphs and large or infinite state spaces are concerned. One approach that tries to overcome these limitations is inductive invariant checking. However, the verification of inductive invariants often requires extensive knowledge about the system in question and faces the approach-inherent challenges of locality and lack of context. To address that, this report discusses k-inductive invariant checking for graph transformation systems as a generalization of inductive invariants. The additional context acquired by taking multiple (k) steps into account is the key difference to inductive invariant checking and is often enough to establish the desired invariants without requiring the iterative development of additional properties. To analyze possibly infinite systems in a finite fashion, we introduce a symbolic encoding for transformation traces using a restricted form of nested application conditions. As its central contribution, this report then presents a formal approach and algorithm to verify graph constraints as k-inductive invariants. We prove the approach's correctness and demonstrate its applicability by means of several examples evaluated with a prototypical implementation of our algorithm.
Graph Transformation
Graph Transformation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graph Transformation write by Nicolas Behr. This book was released on 2022-06-30. Graph Transformation available in PDF, EPUB and Kindle. This book constitutes the refereed proceedings of the 15th International Conference on Graph Transformation, ICGT 2022, which took place Nantes, France in July 2022. The 10 full papers and 1 tool paper presented in this book were carefully reviewed and selected from 19 submissions. The conference focuses on describing new unpublished contributions in the theory and applications of graph transformation as well as tool presentation papers that demonstrate main new features and functionalities of graph-based tools.
Graph Transformation
Graph Transformation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graph Transformation write by Russ Harmer. This book was released on . Graph Transformation available in PDF, EPUB and Kindle.
Modeling and Formal Analysis of Meta-Ecosystems with Dynamic Structure using Graph Transformation
Modeling and Formal Analysis of Meta-Ecosystems with Dynamic Structure using Graph Transformation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling and Formal Analysis of Meta-Ecosystems with Dynamic Structure using Graph Transformation write by Boris Flotterer. This book was released on 2023-01-08. Modeling and Formal Analysis of Meta-Ecosystems with Dynamic Structure using Graph Transformation available in PDF, EPUB and Kindle. The dynamics of ecosystems is of crucial importance. Various model-based approaches exist to understand and analyze their internal effects. In this paper, we model the space structure dynamics and ecological dynamics of meta-ecosystems using the formal technique of Graph Transformation (short GT). We build GT models to describe how a meta-ecosystem (modeled as a graph) can evolve over time (modeled by GT rules) and to analyze these GT models with respect to qualitative properties such as the existence of structural stabilities. As a case study, we build three GT models describing the space structure dynamics and ecological dynamics of three different savanna meta-ecosystems. The first GT model considers a savanna meta-ecosystem that is limited in space to two ecosystem patches, whereas the other two GT models consider two savanna meta-ecosystems that are unlimited in the number of ecosystem patches and only differ in one GT rule describing how the space structure of the meta-ecosystem grows. In the first two GT models, the space structure dynamics and ecological dynamics of the meta-ecosystem shows two main structural stabilities: the first one based on grassland-savanna-woodland transitions and the second one based on grassland-desert transitions. The transition between these two structural stabilities is driven by high-intensity fires affecting the tree components. In the third GT model, the GT rule for savanna regeneration induces desertification and therefore a collapse of the meta-ecosystem. We believe that GT models provide a complementary avenue to that of existing approaches to rigorously study ecological phenomena.
