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Documents authored by Sokolova, Ana

Document
DOI: 10.4230/DagRep.12.12.27
Formal Methods and Distributed Computing: Stronger Together (Dagstuhl Seminar 22492)

Authors: Hagit Attiya, Constantin Enea, Sergio Rajsbaum, and Ana Sokolova

Published in: Dagstuhl Reports, Volume 12, Issue 12 (2023)

Abstract
This report documents the program and the outcomes of Dagstuhl Seminar 22492 "Formal Methods and Distributed Computing: Stronger Together", held in December 2022.
Cite as

Hagit Attiya, Constantin Enea, Sergio Rajsbaum, and Ana Sokolova. Formal Methods and Distributed Computing: Stronger Together (Dagstuhl Seminar 22492). In Dagstuhl Reports, Volume 12, Issue 12, pp. 27-53, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@Article{attiya_et_al:DagRep.12.12.27,
  author =	{Attiya, Hagit and Enea, Constantin and Rajsbaum, Sergio and Sokolova, Ana},
  title =	{{Formal Methods and Distributed Computing: Stronger Together (Dagstuhl Seminar 22492)}},
  pages =	{27--53},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2023},
  volume =	{12},
  number =	{12},
  editor =	{Attiya, Hagit and Enea, Constantin and Rajsbaum, Sergio and Sokolova, Ana},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.12.12.27},
  URN =		{urn:nbn:de:0030-drops-178452},
  doi =		{10.4230/DagRep.12.12.27},
  annote =	{Keywords: automated verification and reasoning, concurrent data structures and transactions, distributed algorithms, large-scale replication}
}
Document
(Co)algebraic pearls
DOI: 10.4230/LIPIcs.CALCO.2021.11
Presenting Convex Sets of Probability Distributions by Convex Semilattices and Unique Bases ((Co)algebraic pearls)

Authors: Filippo Bonchi, Ana Sokolova, and Valeria Vignudelli

Published in: LIPIcs, Volume 211, 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)

Abstract
We prove that every finitely generated convex set of finitely supported probability distributions has a unique base. We apply this result to provide an alternative proof of a recent result: the algebraic theory of convex semilattices presents the monad of convex sets of probability distributions.
Cite as

Filippo Bonchi, Ana Sokolova, and Valeria Vignudelli. Presenting Convex Sets of Probability Distributions by Convex Semilattices and Unique Bases ((Co)algebraic pearls). In 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 211, pp. 11:1-11:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{bonchi_et_al:LIPIcs.CALCO.2021.11,
  author =	{Bonchi, Filippo and Sokolova, Ana and Vignudelli, Valeria},
  title =	{{Presenting Convex Sets of Probability Distributions by Convex Semilattices and Unique Bases}},
  booktitle =	{9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)},
  pages =	{11:1--11:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-212-9},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{211},
  editor =	{Gadducci, Fabio and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2021.11},
  URN =		{urn:nbn:de:0030-drops-153666},
  doi =		{10.4230/LIPIcs.CALCO.2021.11},
  annote =	{Keywords: Convex sets of distributions monad, Convex semilattices, Unique base}
}
Document
(Co)algebraic pearls
DOI: 10.4230/LIPIcs.CALCO.2021.23
Nawrotzki’s Algorithm for the Countable Splitting Lemma, Constructively ((Co)algebraic pearls)

Authors: Ana Sokolova and Harald Woracek

Published in: LIPIcs, Volume 211, 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)

Abstract
We reprove the countable splitting lemma by adapting Nawrotzki’s algorithm which produces a sequence that converges to a solution. Our algorithm combines Nawrotzki’s approach with taking finite cuts. It is constructive in the sense that each term of the iteratively built approximating sequence as well as the error between the approximants and the solution is computable with finitely many algebraic operations.
Cite as

Ana Sokolova and Harald Woracek. Nawrotzki’s Algorithm for the Countable Splitting Lemma, Constructively ((Co)algebraic pearls). In 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 211, pp. 23:1-23:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{sokolova_et_al:LIPIcs.CALCO.2021.23,
  author =	{Sokolova, Ana and Woracek, Harald},
  title =	{{Nawrotzki’s Algorithm for the Countable Splitting Lemma, Constructively}},
  booktitle =	{9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)},
  pages =	{23:1--23:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-212-9},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{211},
  editor =	{Gadducci, Fabio and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2021.23},
  URN =		{urn:nbn:de:0030-drops-153781},
  doi =		{10.4230/LIPIcs.CALCO.2021.23},
  annote =	{Keywords: countable splitting lemma, distributions with given marginals, couplings}
}
Document
Complete Volume
DOI: 10.4230/LIPIcs.CALCO.2019
LIPIcs, Volume 139, CALCO'19, Complete Volume

Authors: Markus Roggenbach and Ana Sokolova

Published in: LIPIcs, Volume 139, 8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)

Abstract
LIPIcs, Volume 139, CALCO'19, Complete Volume
Cite as

8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 139, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@Proceedings{roggenbach_et_al:LIPIcs.CALCO.2019,
  title =	{{LIPIcs, Volume 139, CALCO'19, Complete Volume}},
  booktitle =	{8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-120-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{139},
  editor =	{Roggenbach, Markus and Sokolova, Ana},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2019},
  URN =		{urn:nbn:de:0030-drops-115619},
  doi =		{10.4230/LIPIcs.CALCO.2019},
  annote =	{Keywords: Theory of computation, Models of computation; Modal and temporal logics; Algebraic semantics; Categorical semantics, Quantum computation theory; Software and its engineering, Specification languages}
}
Document
Front Matter
DOI: 10.4230/LIPIcs.CALCO.2019.0
Front Matter, Table of Contents, Preface, Conference Organization

Authors: Markus Roggenbach and Ana Sokolova

Published in: LIPIcs, Volume 139, 8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)

Abstract
Front Matter, Table of Contents, Preface, Conference Organization
Cite as

8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 139, pp. 0:i-0:x, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@InProceedings{roggenbach_et_al:LIPIcs.CALCO.2019.0,
  author =	{Roggenbach, Markus and Sokolova, Ana},
  title =	{{Front Matter, Table of Contents, Preface, Conference Organization}},
  booktitle =	{8th Conference on Algebra and Coalgebra in Computer Science (CALCO 2019)},
  pages =	{0:i--0:x},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-120-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{139},
  editor =	{Roggenbach, Markus and Sokolova, Ana},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2019.0},
  URN =		{urn:nbn:de:0030-drops-114282},
  doi =		{10.4230/LIPIcs.CALCO.2019.0},
  annote =	{Keywords: Front Matter, Table of Contents, Preface, Conference Organization}
}
Document
DOI: 10.4230/LIPIcs.CALCO.2017.22
Termination in Convex Sets of Distributions

Authors: Ana Sokolova and Harald Woracek

Published in: LIPIcs, Volume 72, 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)

Abstract
Convex algebras, also called (semi)convex sets, are at the heart of modelling probabilistic systems including probabilistic automata. Abstractly, they are the Eilenberg-Moore algebras of the finitely supported distribution monad. Concretely, they have been studied for decades within algebra and convex geometry. In this paper we study the problem of extending a convex algebra by a single point. Such extensions enable the modelling of termination in probabilistic systems. We provide a full description of all possible extensions for a particular class of convex algebras: For a fixed convex subset D of a vector space satisfying additional technical condition, we consider the algebra of convex subsets of D. This class contains the convex algebras of convex subsets of distributions, modelling (nondeterministic) probabilistic automata. We also provide a full description of all possible extensions for the class of free convex algebras, modelling fully probabilistic systems. Finally, we show that there is a unique functorial extension, the so-called black-hole extension.
Cite as

Ana Sokolova and Harald Woracek. Termination in Convex Sets of Distributions. In 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 72, pp. 22:1-22:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{sokolova_et_al:LIPIcs.CALCO.2017.22,
  author =	{Sokolova, Ana and Woracek, Harald},
  title =	{{Termination in Convex Sets of Distributions}},
  booktitle =	{7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)},
  pages =	{22:1--22:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-033-0},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{72},
  editor =	{Bonchi, Filippo and K\"{o}nig, Barbara},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2017.22},
  URN =		{urn:nbn:de:0030-drops-80434},
  doi =		{10.4230/LIPIcs.CALCO.2017.22},
  annote =	{Keywords: convex algebra, one-point extensions, convex powerset monad}
}
Document
DOI: 10.4230/LIPIcs.CONCUR.2017.23
The Power of Convex Algebras

Authors: Filippo Bonchi, Alexandra Silva, and Ana Sokolova

Published in: LIPIcs, Volume 85, 28th International Conference on Concurrency Theory (CONCUR 2017)

Abstract
Probabilistic automata (PA) combine probability and nondeterminism. They can be given different semantics, like strong bisimilarity, convex bisimilarity, or (more recently) distribution bisimilarity. The latter is based on the view of PA as transformers of probability distributions, also called belief states, and promotes distributions to first-class citizens. We give a coalgebraic account of the latter semantics, and explain the genesis of the belief-state transformer from a PA. To do so, we make explicit the convex algebraic structure present in PA and identify belief-state transformers as transition systems with state space that carries a convex algebra. As a consequence of our abstract approach, we can give a sound proof technique which we call bisimulation up-to convex hull.
Cite as

Filippo Bonchi, Alexandra Silva, and Ana Sokolova. The Power of Convex Algebras. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 23:1-23:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{bonchi_et_al:LIPIcs.CONCUR.2017.23,
  author =	{Bonchi, Filippo and Silva, Alexandra and Sokolova, Ana},
  title =	{{The Power of Convex Algebras}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{23:1--23:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Meyer, Roland and Nestmann, Uwe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2017.23},
  URN =		{urn:nbn:de:0030-drops-77966},
  doi =		{10.4230/LIPIcs.CONCUR.2017.23},
  annote =	{Keywords: belief-state transformers, bisimulation up-to, coalgebra, convex algebra, convex powerset monad, probabilistic automata}
}
Document
DOI: 10.4230/LIPIcs.CONCUR.2016.6
Local Linearizability for Concurrent Container-Type Data Structures

Authors: Andreas Haas, Thomas A. Henzinger, Andreas Holzer, Christoph M. Kirsch, Michael Lippautz, Hannes Payer, Ali Sezgin, Ana Sokolova, and Helmut Veith

Published in: LIPIcs, Volume 59, 27th International Conference on Concurrency Theory (CONCUR 2016)

Abstract
The semantics of concurrent data structures is usually given by a sequential specification and a consistency condition. Linearizability is the most popular consistency condition due to its simplicity and general applicability. Nevertheless, for applications that do not require all guarantees offered by linearizability, recent research has focused on improving performance and scalability of concurrent data structures by relaxing their semantics. In this paper, we present local linearizability, a relaxed consistency condition that is applicable to container-type concurrent data structures like pools, queues, and stacks. While linearizability requires that the effect of each operation is observed by all threads at the same time, local linearizability only requires that for each thread T, the effects of its local insertion operations and the effects of those removal operations that remove values inserted by T are observed by all threads at the same time. We investigate theoretical and practical properties of local linearizability and its relationship to many existing consistency conditions. We present a generic implementation method for locally linearizable data structures that uses existing linearizable data structures as building blocks. Our implementations show performance and scalability improvements over the original building blocks and outperform the fastest existing container-type implementations.
Cite as

Andreas Haas, Thomas A. Henzinger, Andreas Holzer, Christoph M. Kirsch, Michael Lippautz, Hannes Payer, Ali Sezgin, Ana Sokolova, and Helmut Veith. Local Linearizability for Concurrent Container-Type Data Structures. In 27th International Conference on Concurrency Theory (CONCUR 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 59, pp. 6:1-6:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{haas_et_al:LIPIcs.CONCUR.2016.6,
  author =	{Haas, Andreas and Henzinger, Thomas A. and Holzer, Andreas and Kirsch, Christoph M. and Lippautz, Michael and Payer, Hannes and Sezgin, Ali and Sokolova, Ana and Veith, Helmut},
  title =	{{Local Linearizability for Concurrent Container-Type Data Structures}},
  booktitle =	{27th International Conference on Concurrency Theory (CONCUR 2016)},
  pages =	{6:1--6:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-017-0},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{59},
  editor =	{Desharnais, Jos\'{e}e and Jagadeesan, Radha},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2016.6},
  URN =		{urn:nbn:de:0030-drops-61809},
  doi =		{10.4230/LIPIcs.CONCUR.2016.6},
  annote =	{Keywords: (concurrent) data structures, relaxed semantics, linearizability}
}
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