License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
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DOI: 10.4230/LIPIcs.ICDT.2017.8
URN: urn:nbn:de:0030-drops-70535
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7053/
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Berkholz, Christoph ; Keppeler, Jens ; Schweikardt, Nicole

Answering FO+MOD Queries Under Updates on Bounded Degree Databases

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LIPIcs-ICDT-2017-8.pdf (0.6 MB)

Abstract

We investigate the query evaluation problem for fixed queries over fully dynamic databases, where tuples can be inserted or deleted. The task is to design a dynamic algorithm that immediately reports the new result of a fixed query after every database update.
We consider queries in first-order logic (FO) and its extension with modulo-counting quantifiers (FO+MOD), and show that they can be efficiently evaluated under updates, provided that the dynamic database does not exceed a certain degree bound.
In particular, we construct a data structure that allows to answer a Boolean FO+MOD query and to compute the size of the query result within constant time after every database update. Furthermore, after every update we are able to immediately enumerate the new query result with constant delay between the output tuples. The time needed to build the data structure is linear in the size of the database.
Our results extend earlier work on the evaluation of first-order queries on static databases of bounded degree and rely on an effective Hanf normal form for FO+MOD recently obtained by [Heimberg, Kuske, and Schweikardt, LICS, 2016].

BibTeX - Entry

@InProceedings{berkholz_et_al:LIPIcs:2017:7053,
  author =	{Christoph Berkholz and Jens Keppeler and Nicole Schweikardt},
  title =	{{Answering FO+MOD Queries Under Updates on Bounded Degree Databases}},
  booktitle =	{20th International Conference on Database Theory (ICDT 2017)},
  pages =	{8:1--8:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-024-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{68},
  editor =	{Michael Benedikt and Giorgio Orsi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7053},
  URN =		{urn:nbn:de:0030-drops-70535},
  doi =		{10.4230/LIPIcs.ICDT.2017.8},
  annote =	{Keywords: dynamic databases, query enumeration, counting problem, first-order logic with modulo-counting quantifiers, Hanf locality}
}

Keywords: dynamic databases, query enumeration, counting problem, first-order logic with modulo-counting quantifiers, Hanf locality
Collection: 20th International Conference on Database Theory (ICDT 2017)
Issue Date: 2017
Date of publication: 17.03.2017

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