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Union and Intersection of All Justifications

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The Semantic Web (ESWC 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13261))

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Abstract

We present new algorithms for computing the union and intersection of all justifications for a given ontological consequence without first computing the set of all justifications. Our goal is to use these sets to explain the consequences and, if needed, repair them. Through an empirical evaluation, we show that our approach behaves well in practice for expressive description logics. In particular, the union of all justifications can be computed much faster than with existing justification-enumeration approaches.

This work is partially funded by the Norwegian Research Council via the SIRIUS centre (Grant Nr.237898) and the BPI-France (PSPC AIDA: 2019-PSPC-09).

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Notes

  1. 1.

    We restrict to \(\mathcal {ALCH}\) in this section as condor only accepts \(\mathcal {ALCH}\)-TBoxes.

  2. 2.

    The implementation is vailable at https://github.com/JieyingChenChen/IntersectionAndUnionOfAllJust.

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Author information

Authors and Affiliations

  1. SIRIUS, Department of Information, University of Oslo, Oslo, Norway

    Jieying Chen

  2. LISN, Univ. Paris-Sud, CNRS, Université Paris-Saclay, Orsay, France

    Yue Ma & Hui Yang

  3. University of Milano-Bicocca, Milan, Italy

    Rafael Peñaloza

Authors
  1. Jieying Chen
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  2. Yue Ma
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  3. Rafael Peñaloza
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  4. Hui Yang
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Correspondence to Jieying Chen .

Editor information

Editors and Affiliations

  1. University of Amsterdam, Amsterdam, Noord-Holland, The Netherlands

    Paul Groth

  2. Universidad Simón Bolívar, Leibniz Information Centre for Science and Technology, Hannover, Niedersachsen, Germany

    Maria-Esther Vidal

  3. Institut Polytechnique de Paris "DIG", Télécom ParisTech, Palaiseau, France

    Fabian Suchanek

  4. University of Southern California, Marina del Rey, CA, USA

    Pedro Szekley

  5. IBM Research - Thomas J. Watson Research, Yorktown Heights, NY, USA

    Pavan Kapanipathi

  6. LaSIGE, Fac de Ciencias,Edif C6, Pis0 3, Universidade de Lisboa, Lisbon, Portugal

    Catia Pesquita

  7. University of Nantes, Nantes, France

    Hala Skaf-Molli

  8. Aalto University, Espoo, Finland

    Minna Tamper

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Chen, J., Ma, Y., Peñaloza, R., Yang, H. (2022). Union and Intersection of All Justifications. In: Groth, P., et al. The Semantic Web. ESWC 2022. Lecture Notes in Computer Science, vol 13261. Springer, Cham. https://doi.org/10.1007/978-3-031-06981-9_4

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