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Rewriting with Acyclic Queries: Mind Your Head

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

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Gaetano Geck
  • TU Dortmund University, Germany
Jens Keppeler
  • TU Dortmund University, Germany
Thomas Schwentick
  • TU Dortmund University, Germany
Christopher Spinrath
  • TU Dortmund University, Germany

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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) https://doi.org/10.4230/LIPIcs.ICDT.2022.8

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).

Subject Classification

ACM Subject Classification
  • Theory of computation → Data integration
  • Theory of computation → Database query processing and optimization (theory)
Keywords
  • rewriting
  • acyclic rewriting
  • acyclic conjunctive queries
  • free-connex queries
  • hierarchical queries
  • NP-hardness

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