9 Search Results for "Mitchell, John"


Document
The Geodesic Edge Center of a Simple Polygon

Authors: Anna Lubiw and Anurag Murty Naredla

Published in: LIPIcs, Volume 258, 39th International Symposium on Computational Geometry (SoCG 2023)


Abstract
The geodesic edge center of a polygon is a point c inside the polygon that minimizes the maximum geodesic distance from c to any edge of the polygon, where geodesic distance is the shortest path distance inside the polygon. We give a linear-time algorithm to find a geodesic edge center of a simple polygon. This improves on the previous O(n log n) time algorithm by Lubiw and Naredla [European Symposium on Algorithms, 2021]. The algorithm builds on an algorithm to find the geodesic vertex center of a simple polygon due to Pollack, Sharir, and Rote [Discrete & Computational Geometry, 1989] and an improvement to linear time by Ahn, Barba, Bose, De Carufel, Korman, and Oh [Discrete & Computational Geometry, 2016]. The geodesic edge center can easily be found from the geodesic farthest-edge Voronoi diagram of the polygon. Finding that Voronoi diagram in linear time is an open question, although the geodesic nearest edge Voronoi diagram (the medial axis) can be found in linear time. As a first step of our geodesic edge center algorithm, we give a linear-time algorithm to find the geodesic farthest-edge Voronoi diagram restricted to the polygon boundary.

Cite as

Anna Lubiw and Anurag Murty Naredla. The Geodesic Edge Center of a Simple Polygon. In 39th International Symposium on Computational Geometry (SoCG 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 258, pp. 49:1-49:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)


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@InProceedings{lubiw_et_al:LIPIcs.SoCG.2023.49,
  author =	{Lubiw, Anna and Naredla, Anurag Murty},
  title =	{{The Geodesic Edge Center of a Simple Polygon}},
  booktitle =	{39th International Symposium on Computational Geometry (SoCG 2023)},
  pages =	{49:1--49:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-273-0},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{258},
  editor =	{Chambers, Erin W. and Gudmundsson, Joachim},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2023.49},
  URN =		{urn:nbn:de:0030-drops-178994},
  doi =		{10.4230/LIPIcs.SoCG.2023.49},
  annote =	{Keywords: geodesic center of polygon, farthest edges, farthest-segment Voronoi diagram}
}
Document
1 X 1 Rush Hour with Fixed Blocks Is PSPACE-Complete

Authors: Josh Brunner, Lily Chung, Erik D. Demaine, Dylan Hendrickson, Adam Hesterberg, Adam Suhl, and Avi Zeff

Published in: LIPIcs, Volume 157, 10th International Conference on Fun with Algorithms (FUN 2021) (2020)


Abstract
Consider n²-1 unit-square blocks in an n × n square board, where each block is labeled as movable horizontally (only), movable vertically (only), or immovable - a variation of Rush Hour with only 1 × 1 cars and fixed blocks. We prove that it is PSPACE-complete to decide whether a given block can reach the left edge of the board, by reduction from Nondeterministic Constraint Logic via 2-color oriented Subway Shuffle. By contrast, polynomial-time algorithms are known for deciding whether a given block can be moved by one space, or when each block either is immovable or can move both horizontally and vertically. Our result answers a 15-year-old open problem by Tromp and Cilibrasi, and strengthens previous PSPACE-completeness results for Rush Hour with vertical 1 × 2 and horizontal 2 × 1 movable blocks and 4-color Subway Shuffle.

Cite as

Josh Brunner, Lily Chung, Erik D. Demaine, Dylan Hendrickson, Adam Hesterberg, Adam Suhl, and Avi Zeff. 1 X 1 Rush Hour with Fixed Blocks Is PSPACE-Complete. In 10th International Conference on Fun with Algorithms (FUN 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 157, pp. 7:1-7:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{brunner_et_al:LIPIcs.FUN.2021.7,
  author =	{Brunner, Josh and Chung, Lily and Demaine, Erik D. and Hendrickson, Dylan and Hesterberg, Adam and Suhl, Adam and Zeff, Avi},
  title =	{{1 X 1 Rush Hour with Fixed Blocks Is PSPACE-Complete}},
  booktitle =	{10th International Conference on Fun with Algorithms (FUN 2021)},
  pages =	{7:1--7:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-145-0},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{157},
  editor =	{Farach-Colton, Martin and Prencipe, Giuseppe and Uehara, Ryuhei},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FUN.2021.7},
  URN =		{urn:nbn:de:0030-drops-127681},
  doi =		{10.4230/LIPIcs.FUN.2021.7},
  annote =	{Keywords: puzzles, sliding blocks, PSPACE-hardness}
}
Document
Sampling Conditions for Conforming Voronoi Meshing by the VoroCrust Algorithm

Authors: Ahmed Abdelkader, Chandrajit L. Bajaj, Mohamed S. Ebeida, Ahmed H. Mahmoud, Scott A. Mitchell, John D. Owens, and Ahmad A. Rushdi

Published in: LIPIcs, Volume 99, 34th International Symposium on Computational Geometry (SoCG 2018)


Abstract
We study the problem of decomposing a volume bounded by a smooth surface into a collection of Voronoi cells. Unlike the dual problem of conforming Delaunay meshing, a principled solution to this problem for generic smooth surfaces remained elusive. VoroCrust leverages ideas from alpha-shapes and the power crust algorithm to produce unweighted Voronoi cells conforming to the surface, yielding the first provably-correct algorithm for this problem. Given an epsilon-sample on the bounding surface, with a weak sigma-sparsity condition, we work with the balls of radius delta times the local feature size centered at each sample. The corners of this union of balls are the Voronoi sites, on both sides of the surface. The facets common to cells on opposite sides reconstruct the surface. For appropriate values of epsilon, sigma and delta, we prove that the surface reconstruction is isotopic to the bounding surface. With the surface protected, the enclosed volume can be further decomposed into an isotopic volume mesh of fat Voronoi cells by generating a bounded number of sites in its interior. Compared to state-of-the-art methods based on clipping, VoroCrust cells are full Voronoi cells, with convexity and fatness guarantees. Compared to the power crust algorithm, VoroCrust cells are not filtered, are unweighted, and offer greater flexibility in meshing the enclosed volume by either structured grids or random samples.

Cite as

Ahmed Abdelkader, Chandrajit L. Bajaj, Mohamed S. Ebeida, Ahmed H. Mahmoud, Scott A. Mitchell, John D. Owens, and Ahmad A. Rushdi. Sampling Conditions for Conforming Voronoi Meshing by the VoroCrust Algorithm. In 34th International Symposium on Computational Geometry (SoCG 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 99, pp. 1:1-1:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


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@InProceedings{abdelkader_et_al:LIPIcs.SoCG.2018.1,
  author =	{Abdelkader, Ahmed and Bajaj, Chandrajit L. and Ebeida, Mohamed S. and Mahmoud, Ahmed H. and Mitchell, Scott A. and Owens, John D. and Rushdi, Ahmad A.},
  title =	{{Sampling Conditions for Conforming Voronoi Meshing by the VoroCrust Algorithm}},
  booktitle =	{34th International Symposium on Computational Geometry (SoCG 2018)},
  pages =	{1:1--1:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-066-8},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{99},
  editor =	{Speckmann, Bettina and T\'{o}th, Csaba D.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2018.1},
  URN =		{urn:nbn:de:0030-drops-87147},
  doi =		{10.4230/LIPIcs.SoCG.2018.1},
  annote =	{Keywords: sampling conditions, surface reconstruction, polyhedral meshing, Voronoi}
}
Document
Multimedia Exposition
VoroCrust Illustrated: Theory and Challenges (Multimedia Exposition)

Authors: Ahmed Abdelkader, Chandrajit L. Bajaj, Mohamed S. Ebeida, Ahmed H. Mahmoud, Scott A. Mitchell, John D. Owens, and Ahmad A. Rushdi

Published in: LIPIcs, Volume 99, 34th International Symposium on Computational Geometry (SoCG 2018)


Abstract
Over the past decade, polyhedral meshing has been gaining popularity as a better alternative to tetrahedral meshing in certain applications. Within the class of polyhedral elements, Voronoi cells are particularly attractive thanks to their special geometric structure. What has been missing so far is a Voronoi mesher that is sufficiently robust to run automatically on complex models. In this video, we illustrate the main ideas behind the VoroCrust algorithm, highlighting both the theoretical guarantees and the practical challenges imposed by realistic inputs.

Cite as

Ahmed Abdelkader, Chandrajit L. Bajaj, Mohamed S. Ebeida, Ahmed H. Mahmoud, Scott A. Mitchell, John D. Owens, and Ahmad A. Rushdi. VoroCrust Illustrated: Theory and Challenges (Multimedia Exposition). In 34th International Symposium on Computational Geometry (SoCG 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 99, pp. 77:1-77:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


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@InProceedings{abdelkader_et_al:LIPIcs.SoCG.2018.77,
  author =	{Abdelkader, Ahmed and Bajaj, Chandrajit L. and Ebeida, Mohamed S. and Mahmoud, Ahmed H. and Mitchell, Scott A. and Owens, John D. and Rushdi, Ahmad A.},
  title =	{{VoroCrust Illustrated: Theory and Challenges}},
  booktitle =	{34th International Symposium on Computational Geometry (SoCG 2018)},
  pages =	{77:1--77:4},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-066-8},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{99},
  editor =	{Speckmann, Bettina and T\'{o}th, Csaba D.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2018.77},
  URN =		{urn:nbn:de:0030-drops-87903},
  doi =		{10.4230/LIPIcs.SoCG.2018.77},
  annote =	{Keywords: sampling, surface reconstruction, polyhedral meshing, Voronoi}
}
Document
Massive Open Online Courses: Current State and Perspectives (Dagstuhl Perspectives Workshop 14112)

Authors: Pierre Dillenbourg, Armando Fox, Claude Kirchner, John Mitchell, and Martin Wirsing

Published in: Dagstuhl Manifestos, Volume 4, Issue 1 (2014)


Abstract
The rapid emergence and adoption of Massive Open Online Courses (MOOCs) has raised new questions and rekindled old debates in higher education. Academic leaders are concerned about educational quality, access to content, privacy protection for learner data, production costs and the proper relationship between MOOCs and residential instruction, among other matters. At the same time, these same leaders see opportunities for the scale of MOOCs to support learning: faculty interest in teaching innovation, better learner engagement through personalization, increased understanding of learner behavior through large-scale data analytics, wider access for continuing education learners and other nonresidential learners, and the possibility to enhance revenue or lower educational costs. Two years after "the year of the MOOC", this report summarizes the state of the art and the future directions of greatest interest as seen by an international group of academic leaders. Eight provocative positions are put forward, in hopes of aiding policy-makers, academics, administrators, and learners regarding the potential future of MOOCs in higher education. The recommendations span a variety of topics including financial considerations, pedagogical quality, and the social fabric.

Cite as

Pierre Dillenbourg, Armando Fox, Claude Kirchner, John Mitchell, and Martin Wirsing. Massive Open Online Courses: Current State and Perspectives (Dagstuhl Perspectives Workshop 14112). In Dagstuhl Manifestos, Volume 4, Issue 1, pp. 1-27, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)


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@Article{dillenbourg_et_al:DagMan.4.1.1,
  author =	{Dillenbourg, Pierre and Fox, Armando and Kirchner, Claude and Mitchell, John and Wirsing, Martin},
  title =	{{Massive Open Online Courses: Current State and Perspectives (Dagstuhl Perspectives Workshop 14112)}},
  pages =	{1--27},
  journal =	{Dagstuhl Manifestos},
  ISSN =	{2193-2433},
  year =	{2014},
  volume =	{4},
  number =	{1},
  editor =	{Dillenbourg, Pierre and Fox, Armando and Kirchner, Claude and Mitchell, John and Wirsing, Martin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagMan.4.1.1},
  URN =		{urn:nbn:de:0030-drops-47861},
  doi =		{10.4230/DagMan.4.1.1},
  annote =	{Keywords: Massive open online course, MOOC, SPOC, e-learning, education}
}
Document
Massively Open Online Courses, Current State and Perspectives (Dagstuhl Perspectives Workshop 14112)

Authors: Pierre Dillenbourg, Claude Kirchner, John C. Mitchell, and Martin Wirsing

Published in: Dagstuhl Reports, Volume 4, Issue 3 (2014)


Abstract
The Perspectives Workshop on "Massively Open Online Courses, Current State and Perspectives" took place at Schloss Dagstuhl on March 10--13, 2014. Twenty-three leading researchers and practitioners from informatics and pedagogical sciences presented and discussed current experiences and future directions, challenges, and visions for the influence of MOOCs on university teaching and learning. The first day of the workshop consisted of a series of presentations in which each participant presented those topics and developments he or she considered most relevant for the future development of MOOCs. The abstracts of these talks are given in the first part of this report. On the second and third day the participants divided into several working groups according to the main thematic areas that had been identified on the first day. This gives rise to a Manifesto to be published in the Dagstuhl Manifesto series and to identifying main research questions rised by the emergence of MOOCs: they are summarized in the second part of this report.

Cite as

Pierre Dillenbourg, Claude Kirchner, John C. Mitchell, and Martin Wirsing. Massively Open Online Courses, Current State and Perspectives (Dagstuhl Perspectives Workshop 14112). In Dagstuhl Reports, Volume 4, Issue 3, pp. 47-61, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)


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@Article{dillenbourg_et_al:DagRep.4.3.47,
  author =	{Dillenbourg, Pierre and Kirchner, Claude and Mitchell, John C. and Wirsing, Martin},
  title =	{{Massively Open Online Courses, Current State and Perspectives (Dagstuhl Perspectives Workshop 14112)}},
  pages =	{47--61},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2014},
  volume =	{4},
  number =	{3},
  editor =	{Dillenbourg, Pierre and Kirchner, Claude and Mitchell, John C. and Wirsing, Martin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.4.3.47},
  URN =		{urn:nbn:de:0030-drops-45910},
  doi =		{10.4230/DagRep.4.3.47},
  annote =	{Keywords: Massively open online courses, MOOC, SPOC, e-learning, education}
}
Document
Data-Oblivious Data Structures

Authors: John C. Mitchell and Joe Zimmerman

Published in: LIPIcs, Volume 25, 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)


Abstract
An algorithm is called data-oblivious if its control flow and memory access pattern do not depend on its input data. Data-oblivious algorithms play a significant role in secure cloud computing, since programs that are run on secret data—as in fully homomorphic encryption or secure multi-party computation—must be data-oblivious. In this paper, we formalize three definitions of data-obliviousness that have appeared implicitly in the literature, explore their implications, and show separations. We observe that data-oblivious algorithms often compose well when viewed as data structures. Using this approach, we construct data-oblivious stacks, queues, and priority queues that are considerably simpler than existing constructions, as well as improving constan factors. We also establish a new upper bound for oblivious data compaction, and use this result to show that an "offline" variant of the Oblivious RAM problem can be solved with O(log(n).log(log(n))) expected amortized time per operation - as compared with O(log^2(n)/log(log(n))), the best known upper bound for the standard online formulation.

Cite as

John C. Mitchell and Joe Zimmerman. Data-Oblivious Data Structures. In 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 25, pp. 554-565, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)


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@InProceedings{mitchell_et_al:LIPIcs.STACS.2014.554,
  author =	{Mitchell, John C. and Zimmerman, Joe},
  title =	{{Data-Oblivious Data Structures}},
  booktitle =	{31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)},
  pages =	{554--565},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-65-1},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{25},
  editor =	{Mayr, Ernst W. and Portier, Natacha},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2014.554},
  URN =		{urn:nbn:de:0030-drops-44876},
  doi =		{10.4230/LIPIcs.STACS.2014.554},
  annote =	{Keywords: Data-oblivious algorithms, Data-oblivious data structures, Oblivious RAM, Secure multi-party computation, Secure cloud computing}
}
Document
Invited Talk
A Domain-Specific Language for Computing on Encrypted Data (Invited Talk)

Authors: Alex Bain, John Mitchell, Rahul Sharma, Deian Stefan, and Joe Zimmerman

Published in: LIPIcs, Volume 13, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)


Abstract
In cloud computing, a client may request computation on confidential data that is sent to untrusted servers. While homomorphic encryption and secure multiparty computation provide building blocks for secure computation, software must be properly structured to preserve confidentiality. Using a general definition of secure execution platform, we propose a single Haskell-based domain-specific language for cryptographic cloud computing and prove correctness and confidentiality for two representative and distinctly different implementations of the same programming language. The secret sharing execution platform provides information-theoretic security against colluding servers. The homomorphic encryption execution platform requires only one server, but has limited efficiency, and provides secrecy against a computationally-bounded adversary. Experiments with our implementation suggest promising computational feasibility, as cryptography improves, and show how code can be developed uniformly for a variety of secure cloud platforms, without explicitly programming separate clients and servers.

Cite as

Alex Bain, John Mitchell, Rahul Sharma, Deian Stefan, and Joe Zimmerman. A Domain-Specific Language for Computing on Encrypted Data (Invited Talk). In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 13, pp. 6-24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


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@InProceedings{bain_et_al:LIPIcs.FSTTCS.2011.6,
  author =	{Bain, Alex and Mitchell, John and Sharma, Rahul and Stefan, Deian and Zimmerman, Joe},
  title =	{{A Domain-Specific Language for Computing on Encrypted Data}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)},
  pages =	{6--24},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-34-7},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{13},
  editor =	{Chakraborty, Supratik and Kumar, Amit},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2011.6},
  URN =		{urn:nbn:de:0030-drops-33604},
  doi =		{10.4230/LIPIcs.FSTTCS.2011.6},
  annote =	{Keywords: Domain-Specific Language, Secret Sharing, Homomorphic Encryption}
}
Document
09073 Abstracts Collection – Model-Based Design of Trustworthy Health Information Systems

Authors: Ruth Breu, John C. Mitchell, Janos Sztipanovits, and Alfred Winter

Published in: Dagstuhl Seminar Proceedings, Volume 9073, Model-Based Design of Trustworthy Health Information Systems (2009)


Abstract
The Dagstuhl Seminar ``Model-Based Design of Trustworthy Information Systems'' took place from February 11th to February 14th, 2009, at the International Conference and Research Center Schloss Dagstuhl. The goal of the seminar was to bring together experts from the domains of health care, software engineering and security in order to discuss the challenges of emerging health care scenarios. The seminar combined presentations with discussions in groups.

Cite as

Ruth Breu, John C. Mitchell, Janos Sztipanovits, and Alfred Winter. 09073 Abstracts Collection – Model-Based Design of Trustworthy Health Information Systems. In Model-Based Design of Trustworthy Health Information Systems. Dagstuhl Seminar Proceedings, Volume 9073, pp. 1-19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{breu_et_al:DagSemProc.09073.1,
  author =	{Breu, Ruth and Mitchell, John C. and Sztipanovits, Janos and Winter, Alfred},
  title =	{{09073 Abstracts Collection – Model-Based Design of Trustworthy Health Information Systems}},
  booktitle =	{Model-Based Design of Trustworthy Health Information Systems},
  pages =	{1--19},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9073},
  editor =	{Ruth Breu and John C. Mitchell and Janos Sztipanovits and Alfred Winter},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09073.1},
  URN =		{urn:nbn:de:0030-drops-19983},
  doi =		{10.4230/DagSemProc.09073.1},
  annote =	{Keywords: Trustworthy Systems, Health Information Systems, Model-Based Design, Security Policies, Service Oriented Architecture}
}
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