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Documents authored by Wilke, Thomas

Document
DOI: 10.4230/LIPIcs.FSTTCS.2017.6
Backward Deterministic Büchi Automata on Infinite Words

Authors: Thomas Wilke

Published in: LIPIcs, Volume 93, 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017)

Abstract
This paper describes how backward deterministic Büchi automata are defined, what their main features are, and how they can be applied to solve problems in temporal logic.
Cite as

Thomas Wilke. Backward Deterministic Büchi Automata on Infinite Words. In 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 93, pp. 6:1-6:9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{wilke:LIPIcs.FSTTCS.2017.6,
  author =	{Wilke, Thomas},
  title =	{{Backward Deterministic B\"{u}chi Automata on Infinite Words}},
  booktitle =	{37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017)},
  pages =	{6:1--6:9},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-055-2},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{93},
  editor =	{Lokam, Satya and Ramanujam, R.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2017.6},
  URN =		{urn:nbn:de:0030-drops-84164},
  doi =		{10.4230/LIPIcs.FSTTCS.2017.6},
  annote =	{Keywords: finite automata, infinite words, determinism, backward automata, temporal logic, separated formulas}
}
Document
DOI: 10.4230/LIPIcs.ICALP.2016.95
Past, Present, and Infinite Future

Authors: Thomas Wilke

Published in: LIPIcs, Volume 55, 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)

Abstract
I was supposed to deliver one of the speeches at Wolfgang Thomas's retirement ceremony. Wolfgang had called me on the phone earlier and posed some questions about temporal logic, but I hadn't had good answers at the time. What I decided to do at the ceremony was to take up the conversation again and show how it could have evolved if only I had put more effort into answering his questions. Here is the imaginary conversation with Wolfgang. The contributions are (1) the first direct translation from counter-free omega-automata into future temporal formulas, (2) a definition of bimachines for omega-words, (3) a translation from arbitrary temporal formulas (including both, future and past operators) into counter-free omega-bimachines, and (4) an automata-based proof of separation: every arbitrary temporal formula is equivalent to a boolean combination of pure future, present, and pure past formulas when interpreted in omega-words.
Cite as

Thomas Wilke. Past, Present, and Infinite Future. In 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 55, pp. 95:1-95:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{wilke:LIPIcs.ICALP.2016.95,
  author =	{Wilke, Thomas},
  title =	{{Past, Present, and Infinite Future}},
  booktitle =	{43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
  pages =	{95:1--95:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-013-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{55},
  editor =	{Chatzigiannakis, Ioannis and Mitzenmacher, Michael and Rabani, Yuval and Sangiorgi, Davide},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2016.95},
  URN =		{urn:nbn:de:0030-drops-62306},
  doi =		{10.4230/LIPIcs.ICALP.2016.95},
  annote =	{Keywords: linear-time temporal logic, separation, backward deterministic omega-automata, counter freeness}
}
Document
Complete Volume
DOI: 10.4230/LIPIcs.STACS.2012
LIPIcs, Volume 14, STACS'12, Complete Volume

Authors: Christoph Dürr and Thomas Wilke

Published in: LIPIcs, Volume 14, 29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)

Abstract
LIPIcs, Volume 14, STACS'12, Complete Volume
Cite as

29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012). Leibniz International Proceedings in Informatics (LIPIcs), Volume 14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@Proceedings{durr_et_al:LIPIcs.STACS.2012,
  title =	{{LIPIcs, Volume 14, STACS'12, Complete Volume}},
  booktitle =	{29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-35-4},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{14},
  editor =	{D\"{u}rr, Christoph and Wilke, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2012},
  URN =		{urn:nbn:de:0030-drops-41081},
  doi =		{10.4230/LIPIcs.STACS.2012},
  annote =	{Keywords: Models of Computation, Nonnumerical Algorithms and Problems, Mathematical Logic, Formal Languages, Combinatorics, Graph Theory}
}
Document
Complete Volume
DOI: 10.4230/LIPIcs.STACS.2013
LIPIcs, Volume 20, STACS'13, Complete Volume

Authors: Natacha Portier and Thomas Wilke

Published in: LIPIcs, Volume 20, 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)

Abstract
LIPIcs, Volume 20, STACS'13, Complete Volume
Cite as

30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@Proceedings{portier_et_al:LIPIcs.STACS.2013,
  title =	{{LIPIcs, Volume 20, STACS'13, Complete Volume}},
  booktitle =	{30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-50-7},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{20},
  editor =	{Portier, Natacha and Wilke, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2013},
  URN =		{urn:nbn:de:0030-drops-41144},
  doi =		{10.4230/LIPIcs.STACS.2013},
  annote =	{Keywords: Models of Computation, Nonnumerical Algorithms and Problems, Mathematical Logic, Formal Languages, Combinatorics, Graph Theory}
}
Document
Front Matter
DOI: 10.4230/LIPIcs.STACS.2013.i
Frontmatter, Table of Contents, Preface, Workshop Organization

Authors: Natacha Portier and Thomas Wilke

Published in: LIPIcs, Volume 20, 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)

Abstract
Frontmatter, Table of Contents, Preface, Workshop Organization
Cite as

30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 20, pp. i-xvii, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{portier_et_al:LIPIcs.STACS.2013.i,
  author =	{Portier, Natacha and Wilke, Thomas},
  title =	{{Frontmatter, Table of Contents, Preface, Workshop Organization}},
  booktitle =	{30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)},
  pages =	{i--xvii},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-50-7},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{20},
  editor =	{Portier, Natacha and Wilke, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2013.i},
  URN =		{urn:nbn:de:0030-drops-39135},
  doi =		{10.4230/LIPIcs.STACS.2013.i},
  annote =	{Keywords: Frontmatter, Table of Contents, Preface, Workshop Organization}
}
Document
DOI: 10.4230/LIPIcs.STACS.2013.646
Author Index

Authors: Natacha Portier and Thomas Wilke

Published in: LIPIcs, Volume 20, 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)

Abstract
Author Index.
Cite as

Natacha Portier and Thomas Wilke. Author Index. In 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 20, pp. 646-647, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{portier_et_al:LIPIcs.STACS.2013.646,
  author =	{Portier, Natacha and Wilke, Thomas},
  title =	{{Author Index}},
  booktitle =	{30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)},
  pages =	{646--647},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-50-7},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{20},
  editor =	{Portier, Natacha and Wilke, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2013.646},
  URN =		{urn:nbn:de:0030-drops-39729},
  doi =		{10.4230/LIPIcs.STACS.2013.646},
  annote =	{Keywords: Author Index}
}
Document
Front Matter
DOI: 10.4230/LIPIcs.STACS.2012.i
Frontmatter, Foreword, Conference Organization, External Reviewers, Table of Contents

Authors: Christoph Dürr and Thomas Wilke

Published in: LIPIcs, Volume 14, 29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)

Abstract
Frontmatter, Foreword, Conference Organization, External Reviewers, Table of Contents
Cite as

29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012). Leibniz International Proceedings in Informatics (LIPIcs), Volume 14, pp. i-xvi, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

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@InProceedings{durr_et_al:LIPIcs.STACS.2012.i,
  author =	{D\"{u}rr, Christoph and Wilke, Thomas},
  title =	{{Frontmatter, Foreword, Conference Organization, External Reviewers, Table of Contents}},
  booktitle =	{29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)},
  pages =	{i--xvi},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-35-4},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{14},
  editor =	{D\"{u}rr, Christoph and Wilke, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2012.i},
  URN =		{urn:nbn:de:0030-drops-33850},
  doi =		{10.4230/LIPIcs.STACS.2012.i},
  annote =	{Keywords: Frontmatter, Foreword, Conference Organization, External Reviewers, Table of Contents}
}
Document
DOI: 10.4230/LIPIcs.CSL.2011.248
Unifying Büchi Complementation Constructions

Authors: Seth Fogarty, Orna Kupferman, Moshe Y. Vardi, and Thomas Wilke

Published in: LIPIcs, Volume 12, Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL (2011)

Abstract
Complementation of Buechi automata, required for checking automata containment, is of major theoretical and practical interest in formal verification. We consider two recent approaches to complementation. The first is the rank-based approach of Kupferman and Vardi, which operates over a DAG that embodies all runs of the automaton. This approach is based on the observation that the vertices of this DAG can be ranked in a certain way, termed an odd ranking, iff all runs are rejecting. The second is the slice-based approach of Kahler and Wilke. This approach tracks levels of "split trees" - run trees in which only essential information about the history of each run is maintained. While the slice-based construction is conceptually simple, the complementing automata it generates are exponentially larger than those of the recent rank-based construction of Schewe, and it suffers from the difficulty of symbolically encoding levels of split trees. In this work we reformulate the slice-based approach in terms of run DAGs and preorders over states. In doing so, we begin to draw parallels between the rank-based and slice-based approaches. Through deeper analysis of the slice-based approach, we strongly restrict the nondeterminism it generates. We are then able to employ the slice-based approach to provide a new odd ranking, called a retrospective ranking, that is different from the one provided by Kupferman and Vardi. This new ranking allows us to construct a deterministic-in-the-limit rank-based automaton with a highly restricted transition function. Further, by phrasing the slice-based approach in terms of ranks, our approach affords a simple symbolic encoding and achieves Schewe's tight bound.
Cite as

Seth Fogarty, Orna Kupferman, Moshe Y. Vardi, and Thomas Wilke. Unifying Büchi Complementation Constructions. In Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL. Leibniz International Proceedings in Informatics (LIPIcs), Volume 12, pp. 248-263, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{fogarty_et_al:LIPIcs.CSL.2011.248,
  author =	{Fogarty, Seth and Kupferman, Orna and Vardi, Moshe Y. and Wilke, Thomas},
  title =	{{Unifying B\"{u}chi Complementation Constructions}},
  booktitle =	{Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL},
  pages =	{248--263},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-32-3},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{12},
  editor =	{Bezem, Marc},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2011.248},
  URN =		{urn:nbn:de:0030-drops-32357},
  doi =		{10.4230/LIPIcs.CSL.2011.248},
  annote =	{Keywords: B\"{u}chi automata, complementation, ranks, determinism in the limit}
}
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