5 Search Results for "Geck, Gaetano"


Document
Conjunctive Query Containment with Safe Negation and TGD One-Boundedness

Authors: Xavier Oriol

Published in: LIPIcs, Volume 365, 29th International Conference on Database Theory (ICDT 2026)


Abstract
Query containment is a fundamental database problem which has been extensively studied for conjunctive queries (CQs). The most famous result is arguably the Homomorphism Theorem: a CQ q₁ is contained in a CQ q₂ iff there is a homomorphism from q₂ to q₁. However, when extending conjunctive queries with safe base negation (CQ^¬), this test becomes incomplete, hence, requiring significantly more expensive procedures due to its inherently harder complexity (Π₂^P-hard). In this paper, we define and study the classes CQ^{1¬}_{HT} and CQ^{¬}_{HT}: the classes of conjunctive queries extended with one or several safe negated atoms that satisfy the Homomorphism Theorem, and hence, whose containment check is in NP. To characterise them, we define what we call the dependency-version of a query, which is a dependency that, intuitively, models the databases in which the query is false. It turns out that, when the query q contains one (several) negated atom(s), the query satisfies the Homomorphism Theorem iff its tgd(ded)-version is uniformly one-bounded. We also show that CQ^¬_{HT} membership is EXPTIME-hard, but its complexity reduces to Π₂^P in the CQ^{1¬}_{HT} case, and to NP when bounding the number of positive atoms that can unify with the negated one.

Cite as

Xavier Oriol. Conjunctive Query Containment with Safe Negation and TGD One-Boundedness. In 29th International Conference on Database Theory (ICDT 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 365, pp. 23:1-23:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)


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@InProceedings{oriol:LIPIcs.ICDT.2026.23,
  author =	{Oriol, Xavier},
  title =	{{Conjunctive Query Containment with Safe Negation and TGD One-Boundedness}},
  booktitle =	{29th International Conference on Database Theory (ICDT 2026)},
  pages =	{23:1--23:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-413-0},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{365},
  editor =	{ten Cate, Balder and Funk, Maurice},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2026.23},
  URN =		{urn:nbn:de:0030-drops-256373},
  doi =		{10.4230/LIPIcs.ICDT.2026.23},
  annote =	{Keywords: conjunctive queries, query containment, safe negation, tgd, one-boundedness}
}
Document
PAC: Computing Join Queries with Semi-Covers

Authors: Heba Aamer and Bas Ketsman

Published in: LIPIcs, Volume 328, 28th International Conference on Database Theory (ICDT 2025)


Abstract
An increased and growing interest in large-scale data processing has triggered a demand for specialized algorithms that thrive in massively parallel shared-nothing systems. To answer the question of how to efficiently compute join queries in this setting, a rich line of research has emerged specifically for the Massively Parallel Communication (MPC) model. In the MPC model, algorithms are executed in rounds, with each round consisting of a synchronized communication phase and a separate local computation phase. The main cost measure is the load of the algorithm, defined as the maximum number of messages received by any server in any round. We study worst-case optimal algorithms for the join query evaluation problem in the constant-round MPC model. In the single-round variant of MPC, the worst-case optimal load for this problem is well understood and algorithms exist that guarantee this load for any join query. In the constant-round variant of MPC, queries can often be computed with a lower load compared to the single-round variant, but the worst-case optimal load is only known for specific classes of join queries, including graph-like and acyclic join queries, and the associated algorithms use very different techniques. In this paper, we propose a new constant-round MPC algorithm for computing join queries. Our algorithm is correct for every join query and its load matches (up to a polylog factor) the worst-case optimal load for at least all join queries that are acyclic or graph-like.

Cite as

Heba Aamer and Bas Ketsman. PAC: Computing Join Queries with Semi-Covers. In 28th International Conference on Database Theory (ICDT 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 328, pp. 6:1-6:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)


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@InProceedings{aamer_et_al:LIPIcs.ICDT.2025.6,
  author =	{Aamer, Heba and Ketsman, Bas},
  title =	{{PAC: Computing Join Queries with Semi-Covers}},
  booktitle =	{28th International Conference on Database Theory (ICDT 2025)},
  pages =	{6:1--6:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-364-5},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{328},
  editor =	{Roy, Sudeepa and Kara, Ahmet},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2025.6},
  URN =		{urn:nbn:de:0030-drops-229474},
  doi =		{10.4230/LIPIcs.ICDT.2025.6},
  annote =	{Keywords: Worst-case optimal load, MPC model, join queries}
}
Document
Rewriting with Acyclic Queries: Mind Your Head

Authors: Gaetano Geck, Jens Keppeler, Thomas Schwentick, and Christopher Spinrath

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


Abstract
The paper studies the rewriting problem, that is, the decision problem whether, for a given conjunctive query Q and a set 𝒱 of views, there is a conjunctive query Q' over 𝒱 that is equivalent to Q, for cases where the query, the views, and/or the desired rewriting are acyclic or even more restricted. It shows that, if Q itself is acyclic, an acyclic rewriting exists if there is any rewriting. An analogous statement also holds for free-connex acyclic, hierarchical, and q-hierarchical queries. Regarding the complexity of the rewriting problem, the paper identifies a border between tractable and (presumably) intractable variants of the rewriting problem: for schemas of bounded arity, the acyclic rewriting problem is NP-hard, even if both Q and the views in 𝒱 are acyclic or hierarchical. However, it becomes tractable, if the views are free-connex acyclic (i.e., in a nutshell, their body is (i) acyclic and (ii) remains acyclic if their head is added as an additional atom).

Cite as

Gaetano Geck, Jens Keppeler, Thomas Schwentick, and Christopher Spinrath. Rewriting with Acyclic Queries: Mind Your Head. In 25th International Conference on Database Theory (ICDT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 220, pp. 8:1-8:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{geck_et_al:LIPIcs.ICDT.2022.8,
  author =	{Geck, Gaetano and Keppeler, Jens and Schwentick, Thomas and Spinrath, Christopher},
  title =	{{Rewriting with Acyclic Queries: Mind Your Head}},
  booktitle =	{25th International Conference on Database Theory (ICDT 2022)},
  pages =	{8:1--8:20},
  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.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2022.8},
  URN =		{urn:nbn:de:0030-drops-158829},
  doi =		{10.4230/LIPIcs.ICDT.2022.8},
  annote =	{Keywords: rewriting, acyclic rewriting, acyclic conjunctive queries, free-connex queries, hierarchical queries, NP-hardness}
}
Document
Distribution Constraints: The Chase for Distributed Data

Authors: Gaetano Geck, Frank Neven, and Thomas Schwentick

Published in: LIPIcs, Volume 155, 23rd International Conference on Database Theory (ICDT 2020)


Abstract
This paper introduces a declarative framework to specify and reason about distributions of data over computing nodes in a distributed setting. More specifically, it proposes distribution constraints which are tuple and equality generating dependencies (tgds and egds) extended with node variables ranging over computing nodes. In particular, they can express co-partitioning constraints and constraints about range-based data distributions by using comparison atoms. The main technical contribution is the study of the implication problem of distribution constraints. While implication is undecidable in general, relevant fragments of so-called data-full constraints are exhibited for which the corresponding implication problems are complete for EXPTIME, PSPACE and NP. These results yield bounds on deciding parallel-correctness for conjunctive queries in the presence of distribution constraints.

Cite as

Gaetano Geck, Frank Neven, and Thomas Schwentick. Distribution Constraints: The Chase for Distributed Data. In 23rd International Conference on Database Theory (ICDT 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 155, pp. 13:1-13:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{geck_et_al:LIPIcs.ICDT.2020.13,
  author =	{Geck, Gaetano and Neven, Frank and Schwentick, Thomas},
  title =	{{Distribution Constraints: The Chase for Distributed Data}},
  booktitle =	{23rd International Conference on Database Theory (ICDT 2020)},
  pages =	{13:1--13:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-139-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{155},
  editor =	{Lutz, Carsten and Jung, Jean Christoph},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2020.13},
  URN =		{urn:nbn:de:0030-drops-119378},
  doi =		{10.4230/LIPIcs.ICDT.2020.13},
  annote =	{Keywords: tuple-generating dependencies, chase, conjunctive queries, distributed evaluation}
}
Document
Parallel-Correctness and Containment for Conjunctive Queries with Union and Negation

Authors: Gaetano Geck, Bas Ketsman, Frank Neven, and Thomas Schwentick

Published in: LIPIcs, Volume 48, 19th International Conference on Database Theory (ICDT 2016)


Abstract
Single-round multiway join algorithms first reshuffle data over many servers and then evaluate the query at hand in a parallel and communication-free way. A key question is whether a given distribution policy for the reshuffle is adequate for computing a given query, also referred to as parallel-correctness. This paper extends the study of the complexity of parallel-correctness and its constituents, parallel-soundness and parallel-completeness, to unions of conjunctive queries with and without negation. As a by-product it is shown that the containment problem for conjunctive queries with negation is coNEXPTIME-complete.

Cite as

Gaetano Geck, Bas Ketsman, Frank Neven, and Thomas Schwentick. Parallel-Correctness and Containment for Conjunctive Queries with Union and Negation. In 19th International Conference on Database Theory (ICDT 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 48, pp. 9:1-9:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{geck_et_al:LIPIcs.ICDT.2016.9,
  author =	{Geck, Gaetano and Ketsman, Bas and Neven, Frank and Schwentick, Thomas},
  title =	{{Parallel-Correctness and Containment for Conjunctive Queries with Union and Negation}},
  booktitle =	{19th International Conference on Database Theory (ICDT 2016)},
  pages =	{9:1--9:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-002-6},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{48},
  editor =	{Martens, Wim and Zeume, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2016.9},
  URN =		{urn:nbn:de:0030-drops-57787},
  doi =		{10.4230/LIPIcs.ICDT.2016.9},
  annote =	{Keywords: Conjunctive queries, distributed evaluation}
}
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