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Tuple-Generating Dependencies Capture Complex Values

Authors Maximilian Marx , Markus Krötzsch

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Author Details

Maximilian Marx
  • Knowledge-Based Systems Group, TU Dresden, Germany
Markus Krötzsch
  • Knowledge-Based Systems Group, TU Dresden, Germany

Funding

This work is partly supported by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) in project number 389792660 (TRR 248, https://www.perspicuous-computing.science/), by the Bundesministerium für Bildung und Forschung (BMBF, Federal Ministry of Education and Research) in the https://www.scads.de (ScaDS.AI), and by the Center for Advancing Electronics Dresden (cfaed).

Acknowledgements

We would like to thank the anonymous reviewers for their detailed feedback that led to this revised version of the paper.

Cite AsGet BibTex

Maximilian Marx and Markus Krötzsch. Tuple-Generating Dependencies Capture Complex Values. In 25th International Conference on Database Theory (ICDT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 220, pp. 13:1-13:20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.ICDT.2022.13

Abstract

We formalise a variant of Datalog that allows complex values constructed by nesting elements of the input database in sets and tuples. We study its complexity and give a translation into sets of tuple-generating dependencies (TGDs) for which the standard chase terminates on any input database. We identify a fragment for which reasoning is tractable. As membership is undecidable for this fragment, we develop decidable sufficient conditions.

Subject Classification

ACM Subject Classification
  • Theory of computation → Complexity theory and logic
  • Theory of computation → Constraint and logic programming
  • Theory of computation → Logic and databases
Keywords
  • terminating standard chase
  • existential rules
  • Datalog
  • complexity

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