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Documents authored by Bauer, Jörg

Document
DOI: 10.4230/DagSemProc.06081.3
Analysis of Dynamic Communicating Systems by Hierarchical Abstraction

Authors: Jörg Bauer and Reinhard Wilhelm

Published in: Dagstuhl Seminar Proceedings, Volume 6081, Software Verification: Infinite-State Model Checking and Static Program Analysis (2006)

Abstract
We propose a new abstraction technique for verifying topology properties of dynamic communicating systems (DCS), a special class of infinite-state systems. DCS are characterized by unbounded creation and destruction of objects along with an evolving communication connectivity or topology. We employ a lightweight graph transformation system to specify DCS. Hierarchical Abstraction (HA) computes a bounded over-approximation of all topologies that can occur in a DCS directly from its transformation rules. HA works in two steps. First, for each connected component, called cluster, of a topology, objects sharing a common property are summarized to one abstract object. Then isomorphic abstract connected components are summarized to one abstract component, called abstract cluster. This yields a conservative approximation of all graphs that may occur during any DCS run. The technique is implemented.
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Jörg Bauer and Reinhard Wilhelm. Analysis of Dynamic Communicating Systems by Hierarchical Abstraction. In Software Verification: Infinite-State Model Checking and Static Program Analysis. Dagstuhl Seminar Proceedings, Volume 6081, pp. 1-25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{bauer_et_al:DagSemProc.06081.3,
  author =	{Bauer, J\"{o}rg and Wilhelm, Reinhard},
  title =	{{Analysis of Dynamic Communicating Systems by Hierarchical Abstraction}},
  booktitle =	{Software Verification: Infinite-State Model Checking and Static Program Analysis},
  pages =	{1--25},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6081},
  editor =	{Parosh Aziz Abdulla and Ahmed Bouajjani and Markus M\"{u}ller-Olm},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06081.3},
  URN =		{urn:nbn:de:0030-drops-7271},
  doi =		{10.4230/DagSemProc.06081.3},
  annote =	{Keywords: Graph transformation, Abstract Interpretation, Shape Analysis}
}
Document
DOI: 10.4230/DagSemProc.06161.5
Abstract Interpretation of Graph Transformation

Authors: Jörg Bauer and Reinhard Wilhelm

Published in: Dagstuhl Seminar Proceedings, Volume 6161, Simulation and Verification of Dynamic Systems (2006)

Abstract
The semantics of many dynamic systems can be described by evolving graphs. Graph transformation systems (GTS) are a natural, intuitive, and formally defined method to specify systems of evolving graphs, whereas verification techniques for GTS are scarce. We present an abstract interpretation based approach for GTS verification. Single graphs are abstracted in two steps. First similar nodes within a connected component, then similar abstracted connected components are summarized. Transformation rules are applied directly to abstract graphs yielding a bounded set of abstract graphs of bounded size that over-approximates the concrete GTS and can be used for further verification. Since our abstraction is homomorphic, existential positive properties are preserved under abstraction. Furthermore, we identify automatically checkable completeness criteria for the abstraction. The technique is implemented and successfully tested on the platoon case study.
Cite as

Jörg Bauer and Reinhard Wilhelm. Abstract Interpretation of Graph Transformation. In Simulation and Verification of Dynamic Systems. Dagstuhl Seminar Proceedings, Volume 6161, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{bauer_et_al:DagSemProc.06161.5,
  author =	{Bauer, J\"{o}rg and Wilhelm, Reinhard},
  title =	{{Abstract Interpretation of Graph Transformation}},
  booktitle =	{Simulation and Verification of Dynamic Systems},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6161},
  editor =	{David M. Nicol and Corrado Priami and Hanne Riis Nielson and Adelinde M. Uhrmacher},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06161.5},
  URN =		{urn:nbn:de:0030-drops-7039},
  doi =		{10.4230/DagSemProc.06161.5},
  annote =	{Keywords: Abstract Interpretation, Graph Transformation}
}
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