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Documents authored by Arenas, Marcelo

Document
Invited Talk
DOI: 10.4230/LIPIcs.ICDT.2022.2
Counting the Solutions to a Query (Invited Talk)

Authors: Marcelo Arenas

Published in: LIPIcs, Volume 220, 25th International Conference on Database Theory (ICDT 2022)

Abstract
In this talk, we consider the problem of counting the solutions to a query. Our first motivating scenario is the use of regular expressions to extract paths from a graph database. More specifically, given a graph database D, a regular expression r and a natural number n, consider the problem of counting the number of paths p in D such that p conforms to r and the length of p is n. This problem is known to be hard, namely #P-complete. In this talk, we show that this problem admits a fully polynomial-time randomized approximation scheme (FPRAS). Remarkably, the key idea to prove this result is to show that the fundamental problem #NFA admits an FPRAS, where #NFA is the problem of counting the number of strings of length n accepted by a non-deterministic finite automaton (NFA). While this problem is known to be #P-complete and, more precisely, SpanL-complete, it was open whether this problem admits an FPRAS. In this work, we solve this open problem and obtain as a welcome corollary that every function in SpanL admits an FPRAS. As a second motivating scenario, we consider the widely used class of conjunctive queries over relational databases. More specifically, for every class C of conjunctive queries with bounded treewidth, we introduce the first FPRAS for counting the answers to a query in C. In fact, our FPRAS is more general, and also applies to conjunctive queries with bounded hypertree width, as well as unions of such queries. As for the case of graph databases, the key ingredient in our proof is the resolution of a fundamental counting problem from automata theory. Specifically, we show that the problem #TA admits an FPRAS, where #TA is the problem of counting the number of trees of size n accepted by a tree automaton (TA). This talk is based on the results presented in [Marcelo Arenas et al., 2021; Marcelo Arenas et al., 2021].
Cite as

Marcelo Arenas. Counting the Solutions to a Query (Invited Talk). In 25th International Conference on Database Theory (ICDT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 220, p. 2:1, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{arenas:LIPIcs.ICDT.2022.2,
  author =	{Arenas, Marcelo},
  title =	{{Counting the Solutions to a Query}},
  booktitle =	{25th International Conference on Database Theory (ICDT 2022)},
  pages =	{2:1--2:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-223-5},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{220},
  editor =	{Olteanu, Dan and Vortmeier, Nils},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2022.2},
  URN =		{urn:nbn:de:0030-drops-158763},
  doi =		{10.4230/LIPIcs.ICDT.2022.2},
  annote =	{Keywords: Counting, query answering, fully polynomial-time randomized approximation scheme}
}
Document
DOI: 10.4230/LIPIcs.STACS.2020.54
Cryptocurrency Mining Games with Economic Discount and Decreasing Rewards

Authors: Marcelo Arenas, Juan Reutter, Etienne Toussaint, Martín Ugarte, Francisco Vial, and Domagoj Vrgoč

Published in: LIPIcs, Volume 154, 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)

Abstract
In the consensus protocols used in most cryptocurrencies, participants called miners must find valid blocks of transactions and append them to a shared tree-like data structure. Ideally, the rules of the protocol should ensure that miners maximize their gains if they follow a default strategy, which consists on appending blocks only to the longest branch of the tree, called the blockchain. Our goal is to understand under which circumstances are miners encouraged to follow the default strategy. Unfortunately, most of the existing models work with simplified payoff functions, without considering the possibility that rewards decrease over time because of the game rules (like in Bitcoin), nor integrating the fact that a miner naturally prefers to be paid earlier than later (the economic concept of discount). In order to integrate these factors, we consider a more general model where issues such as economic discount and decreasing rewards can be set as parameters of an infinite stochastic game. In this model, we study the limit situation in which a miner does not receive a full reward for a block if it stops being in the blockchain. We show that if rewards are not decreasing, then miners do not have incentives to create new branches, no matter how high their computational power is. On the other hand, when working with decreasing rewards similar to those in Bitcoin, we show that miners have an incentive to create such branches. Nevertheless, this incentive only occurs when a miner controls a proportion of the computational power which is close to half of the computational power of the entire network.
Cite as

Marcelo Arenas, Juan Reutter, Etienne Toussaint, Martín Ugarte, Francisco Vial, and Domagoj Vrgoč. Cryptocurrency Mining Games with Economic Discount and Decreasing Rewards. In 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 154, pp. 54:1-54:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{arenas_et_al:LIPIcs.STACS.2020.54,
  author =	{Arenas, Marcelo and Reutter, Juan and Toussaint, Etienne and Ugarte, Mart{\'\i}n and Vial, Francisco and Vrgo\v{c}, Domagoj},
  title =	{{Cryptocurrency Mining Games with Economic Discount and Decreasing Rewards}},
  booktitle =	{37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)},
  pages =	{54:1--54:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-140-5},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{154},
  editor =	{Paul, Christophe and Bl\"{a}ser, Markus},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2020.54},
  URN =		{urn:nbn:de:0030-drops-119150},
  doi =		{10.4230/LIPIcs.STACS.2020.54},
  annote =	{Keywords: cryptocurrency, game theory, cryptomining, economic discount, decreasing rewards}
}
Document
DOI: 10.4230/DagMan.7.1.1
Research Directions for Principles of Data Management (Dagstuhl Perspectives Workshop 16151)

Authors: Serge Abiteboul, Marcelo Arenas, Pablo Barceló, Meghyn Bienvenu, Diego Calvanese, Claire David, Richard Hull, Eyke Hüllermeier, Benny Kimelfeld, Leonid Libkin, Wim Martens, Tova Milo, Filip Murlak, Frank Neven, Magdalena Ortiz, Thomas Schwentick, Julia Stoyanovich, Jianwen Su, Dan Suciu, Victor Vianu, and Ke Yi

Published in: Dagstuhl Manifestos, Volume 7, Issue 1 (2018)

Abstract
The area of Principles of Data Management (PDM) has made crucial contributions to the development of formal frameworks for understanding and managing data and knowledge. This work has involved a rich cross-fertilization between PDM and other disciplines in mathematics and computer science, including logic, complexity theory, and knowledge representation. We anticipate on-going expansion of PDM research as the technology and applications involving data management continue to grow and evolve. In particular, the lifecycle of Big Data Analytics raises a wealth of challenge areas that PDM can help with. In this report we identify some of the most important research directions where the PDM community has the potential to make significant contributions. This is done from three perspectives: potential practical relevance, results already obtained, and research questions that appear surmountable in the short and medium term.
Cite as

Serge Abiteboul, Marcelo Arenas, Pablo Barceló, Meghyn Bienvenu, Diego Calvanese, Claire David, Richard Hull, Eyke Hüllermeier, Benny Kimelfeld, Leonid Libkin, Wim Martens, Tova Milo, Filip Murlak, Frank Neven, Magdalena Ortiz, Thomas Schwentick, Julia Stoyanovich, Jianwen Su, Dan Suciu, Victor Vianu, and Ke Yi. Research Directions for Principles of Data Management (Dagstuhl Perspectives Workshop 16151). In Dagstuhl Manifestos, Volume 7, Issue 1, pp. 1-29, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@Article{abiteboul_et_al:DagMan.7.1.1,
  author =	{Abiteboul, Serge and Arenas, Marcelo and Barcel\'{o}, Pablo and Bienvenu, Meghyn and Calvanese, Diego and David, Claire and Hull, Richard and H\"{u}llermeier, Eyke and Kimelfeld, Benny and Libkin, Leonid and Martens, Wim and Milo, Tova and Murlak, Filip and Neven, Frank and Ortiz, Magdalena and Schwentick, Thomas and Stoyanovich, Julia and Su, Jianwen and Suciu, Dan and Vianu, Victor and Yi, Ke},
  title =	{{Research Directions for Principles of Data Management (Dagstuhl Perspectives Workshop 16151)}},
  pages =	{1--29},
  journal =	{Dagstuhl Manifestos},
  ISSN =	{2193-2433},
  year =	{2018},
  volume =	{7},
  number =	{1},
  editor =	{Abiteboul, Serge and Arenas, Marcelo and Barcel\'{o}, Pablo and Bienvenu, Meghyn and Calvanese, Diego and David, Claire and Hull, Richard and H\"{u}llermeier, Eyke and Kimelfeld, Benny and Libkin, Leonid and Martens, Wim and Milo, Tova and Murlak, Filip and Neven, Frank and Ortiz, Magdalena and Schwentick, Thomas and Stoyanovich, Julia and Su, Jianwen and Suciu, Dan and Vianu, Victor and Yi, Ke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagMan.7.1.1},
  URN =		{urn:nbn:de:0030-drops-86772},
  doi =		{10.4230/DagMan.7.1.1},
  annote =	{Keywords: database theory, principles of data management, query languages, efficient query processing, query optimization, heterogeneous data, uncertainty, knowledge-enriched data management, machine learning, workflows, human-related data, ethics}
}
Document
DOI: 10.4230/DagRep.6.4.39
Foundations of Data Management (Dagstuhl Perspectives Workshop 16151)

Authors: Marcelo Arenas, Richard Hull, Wim Marten, Tova Milo, and Thomas Schwentick

Published in: Dagstuhl Reports, Volume 6, Issue 4 (2016)

Abstract
In this Workshop we have explored the degree to which principled foundations are crucial to the long-term success and effectiveness of the new generation of data management paradigms and applications, and investigated what forms of research need to be pursued to develop and advance these foundations. The workshop brought together specialists from the existing database theory community, and from adjoining areas, particularly from various subdisciplines within the Big Data community, to understand the challenge areas that might be resolved through principled foundations and mathematical theory.
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Marcelo Arenas, Richard Hull, Wim Marten, Tova Milo, and Thomas Schwentick. Foundations of Data Management (Dagstuhl Perspectives Workshop 16151). In Dagstuhl Reports, Volume 6, Issue 4, pp. 39-56, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@Article{arenas_et_al:DagRep.6.4.39,
  author =	{Arenas, Marcelo and Hull, Richard and Marten, Wim and Milo, Tova and Schwentick, Thomas},
  title =	{{Foundations of Data Management (Dagstuhl Perspectives Workshop 16151)}},
  pages =	{39--56},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2016},
  volume =	{6},
  number =	{4},
  editor =	{Arenas, Marcelo and Hull, Richard and Marten, Wim and Milo, Tova and Schwentick, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.6.4.39},
  URN =		{urn:nbn:de:0030-drops-61526},
  doi =		{10.4230/DagRep.6.4.39},
  annote =	{Keywords: Foundations of data management, Principles of databases}
}
Document
Complete Volume
DOI: 10.4230/LIPIcs.ICDT.2015
LIPIcs, Volume 31, ICDT'15, Complete Volume

Authors: Marcelo Arenas and Martín Ugarte

Published in: LIPIcs, Volume 31, 18th International Conference on Database Theory (ICDT 2015)

Abstract
LIPIcs, Volume 31, ICDT'15, Complete Volume
Cite as

18th International Conference on Database Theory (ICDT 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 31, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@Proceedings{arenas_et_al:LIPIcs.ICDT.2015,
  title =	{{LIPIcs, Volume 31, ICDT'15, Complete Volume}},
  booktitle =	{18th International Conference on Database Theory (ICDT 2015)},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-79-8},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{31},
  editor =	{Arenas, Marcelo and Ugarte, Mart{\'\i}n},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2015},
  URN =		{urn:nbn:de:0030-drops-50077},
  doi =		{10.4230/LIPIcs.ICDT.2015},
  annote =	{Keywords: Database Management, Normal forms, Schema and subschema, Query languages, Query processing, Relational databases, Distributed databases, Heterogeneous Databases, Online Information Services, Miscellaneous – Privacy, Office Automation: Workflow management, Performance Analysis and Design Aids: Formal}
}
Document
Front Matter
DOI: 10.4230/LIPIcs.ICDT.2015.i
Title, Table of Contents, Preface, ICDT 2015 Test of Time Award, Organization, External Reviewers, List of Authors

Authors: Marcelo Arenas and Martín Ugarte

Published in: LIPIcs, Volume 31, 18th International Conference on Database Theory (ICDT 2015)

Abstract
Title, Table of Contents, Preface, ICDT 2015 Test of Time Award, Organization, External Reviewers, List of Authors
Cite as

18th International Conference on Database Theory (ICDT 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 31, pp. i-xvi, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{arenas_et_al:LIPIcs.ICDT.2015.i,
  author =	{Arenas, Marcelo and Ugarte, Mart{\'\i}n},
  title =	{{Title, Table of Contents, Preface, ICDT 2015 Test of Time Award, Organization, External Reviewers, List of Authors}},
  booktitle =	{18th International Conference on Database Theory (ICDT 2015)},
  pages =	{i--xvi},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-79-8},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{31},
  editor =	{Arenas, Marcelo and Ugarte, Mart{\'\i}n},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2015.i},
  URN =		{urn:nbn:de:0030-drops-50002},
  doi =		{10.4230/LIPIcs.ICDT.2015.i},
  annote =	{Keywords: Title, Table of Contents, Preface, ICDT 2015 Test of Time Award, Organization, External Reviewers, List of Authors}
}
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