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Dynamic Complexity of Document Spanners

Authors Dominik D. Freydenberger , Sam M. Thompson



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Dominik D. Freydenberger
  • Loughborough University, Loughborough, United Kingdom
Sam M. Thompson
  • Loughborough University, Loughborough, United Kingdom

Acknowledgements

The authors would like to thank the anonymous reviewers as well as Thomas Schwentick for their helpful comments and suggestions. The authors would also like to thank Thomas Zeume for clarifying a result from his thesis.

Cite AsGet BibTex

Dominik D. Freydenberger and Sam M. Thompson. Dynamic Complexity of Document Spanners. In 23rd International Conference on Database Theory (ICDT 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 155, pp. 11:1-11:21, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.ICDT.2020.11

Abstract

The present paper investigates the dynamic complexity of document spanners, a formal framework for information extraction introduced by Fagin, Kimelfeld, Reiss, and Vansummeren (JACM 2015). We first look at the class of regular spanners and prove that any regular spanner can be maintained in the dynamic complexity class DynPROP. This result follows from work done previously on the dynamic complexity of formal languages by Gelade, Marquardt, and Schwentick (TOCL 2012). To investigate core spanners we use SpLog, a concatenation logic that exactly captures core spanners. We show that the dynamic complexity class DynCQ is more expressive than SpLog and therefore can maintain any core spanner. This result is then extended to show that DynFO can maintain any generalized core spanner and that DynFO is more powerful than SpLog with negation.

Subject Classification

ACM Subject Classification
  • Theory of computation → Complexity theory and logic
  • Information systems → Information extraction
Keywords
  • Document spanners
  • information extraction
  • dynamic complexity
  • descriptive complexity
  • word equations

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References

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