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On the Complexity of Enumerating the Answers to Well-designed Pattern Trees

Authors Markus Kröll, Reinhard Pichler, Sebastian Skritek

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Markus Kröll
Reinhard Pichler
Sebastian Skritek

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Markus Kröll, Reinhard Pichler, and Sebastian Skritek. On the Complexity of Enumerating the Answers to Well-designed Pattern Trees. In 19th International Conference on Database Theory (ICDT 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 48, pp. 22:1-22:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016) https://doi.org/10.4230/LIPIcs.ICDT.2016.22

Abstract

Well-designed pattern trees (wdPTs) have been introduced as an extension of conjunctive queries to allow for partial matching - analogously to the OPTIONAL operator of the semantic web query language SPARQL. Several computational problems of wdPTs have been studied in recent years, such as the evaluation problem in various settings, the counting problem, as well as static analysis tasks including the containment and equivalence problems. Also restrictions needed to achieve tractability of these tasks have been proposed. In contrast, the problem of enumerating the answers to a wdPT has been largely ignored so far. In this work, we embark on a systematic study of the complexity of the enumeration problem of wdPTs. As our main result, we identify several tractable and intractable cases of this problem both from a classical complexity point of view and from a parameterized complexity point of view.

Subject Classification

Keywords
  • SPARQL
  • Pattern Trees
  • CQs
  • Enumeration
  • Complexity

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