Computing Repairs Under Functional and Inclusion Dependencies via Argumentation

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • Yasir Mahmood
  • Jonni Virtema
  • Timon Barlag
  • Axel Cyrille Ngonga Ngomo

Externe Organisationen

  • Universität Paderborn
  • The University of Sheffield
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Details

OriginalspracheEnglisch
Titel des SammelwerksFoundations of Information and Knowledge Systems
Untertitel13th International Symposium, FoIKS 2024
Herausgeber/-innenArne Meier, Magdalena Ortiz
Herausgeber (Verlag)Springer Science and Business Media Deutschland GmbH
Seiten23-42
Seitenumfang20
ISBN (elektronisch)978-3-031-56940-1
ISBN (Print)9783031569395
PublikationsstatusVeröffentlicht - 29 März 2024
Veranstaltung13th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2024 - Sheffield, Großbritannien / Vereinigtes Königreich
Dauer: 8 Apr. 202411 Apr. 2024

Publikationsreihe

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Band14589 LNCS
ISSN (Print)0302-9743
ISSN (elektronisch)1611-3349

Abstract

We discover a connection between finding subset-maximal repairs for sets of functional and inclusion dependencies, and computing extensions within argumentation frameworks (AFs). We study the complexity of existence of a repair, and deciding whether a given tuple belongs to some (or every) repair, by simulating the instances of these problems via AFs. We prove that subset-maximal repairs under functional dependencies correspond to the naive extensions, which also coincide with the preferred and stable extensions in the resulting AFs. For inclusion dependencies one needs a pre-processing step on the resulting AFs in order for the extensions to coincide. Allowing both types of dependencies breaks this relationship between extensions and only preferred semantics captures the repairs. Finally, we establish that the complexities of the above decision problems are -complete and -complete, when both functional and inclusion dependencies are allowed.

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Computing Repairs Under Functional and Inclusion Dependencies via Argumentation. / Mahmood, Yasir; Virtema, Jonni; Barlag, Timon et al.
Foundations of Information and Knowledge Systems : 13th International Symposium, FoIKS 2024. Hrsg. / Arne Meier; Magdalena Ortiz. Springer Science and Business Media Deutschland GmbH, 2024. S. 23-42 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Band 14589 LNCS).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Mahmood, Y, Virtema, J, Barlag, T & Ngomo, ACN 2024, Computing Repairs Under Functional and Inclusion Dependencies via Argumentation. in A Meier & M Ortiz (Hrsg.), Foundations of Information and Knowledge Systems : 13th International Symposium, FoIKS 2024. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Bd. 14589 LNCS, Springer Science and Business Media Deutschland GmbH, S. 23-42, 13th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2024, Sheffield, Großbritannien / Vereinigtes Königreich, 8 Apr. 2024. https://doi.org/10.48550/arXiv.2312.01973, https://doi.org/10.1007/978-3-031-56940-1_2
Mahmood, Y., Virtema, J., Barlag, T., & Ngomo, A. C. N. (2024). Computing Repairs Under Functional and Inclusion Dependencies via Argumentation. In A. Meier, & M. Ortiz (Hrsg.), Foundations of Information and Knowledge Systems : 13th International Symposium, FoIKS 2024 (S. 23-42). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Band 14589 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.48550/arXiv.2312.01973, https://doi.org/10.1007/978-3-031-56940-1_2
Mahmood Y, Virtema J, Barlag T, Ngomo ACN. Computing Repairs Under Functional and Inclusion Dependencies via Argumentation. in Meier A, Ortiz M, Hrsg., Foundations of Information and Knowledge Systems : 13th International Symposium, FoIKS 2024. Springer Science and Business Media Deutschland GmbH. 2024. S. 23-42. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.48550/arXiv.2312.01973, 10.1007/978-3-031-56940-1_2
Mahmood, Yasir ; Virtema, Jonni ; Barlag, Timon et al. / Computing Repairs Under Functional and Inclusion Dependencies via Argumentation. Foundations of Information and Knowledge Systems : 13th International Symposium, FoIKS 2024. Hrsg. / Arne Meier ; Magdalena Ortiz. Springer Science and Business Media Deutschland GmbH, 2024. S. 23-42 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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title = "Computing Repairs Under Functional and Inclusion Dependencies via Argumentation",
abstract = "We discover a connection between finding subset-maximal repairs for sets of functional and inclusion dependencies, and computing extensions within argumentation frameworks (AFs). We study the complexity of existence of a repair, and deciding whether a given tuple belongs to some (or every) repair, by simulating the instances of these problems via AFs. We prove that subset-maximal repairs under functional dependencies correspond to the naive extensions, which also coincide with the preferred and stable extensions in the resulting AFs. For inclusion dependencies one needs a pre-processing step on the resulting AFs in order for the extensions to coincide. Allowing both types of dependencies breaks this relationship between extensions and only preferred semantics captures the repairs. Finally, we establish that the complexities of the above decision problems are -complete and -complete, when both functional and inclusion dependencies are allowed.",
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AU - Ngomo, Axel Cyrille Ngonga

N1 - Funding Information: The work has received funding from the European Union\u2019s Horizon Europe research and innovation programme within project ENEXA (101070305) and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation): TRR 318/1 2021-438445824 and VI 1045-1/1-432788559. The first author expresses gratitude to Arne Meier (Leibniz University Hannover) for the invitation to discuss the topic in Hannover, as well as for motivating and guiding the discussion on this subject.

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N2 - We discover a connection between finding subset-maximal repairs for sets of functional and inclusion dependencies, and computing extensions within argumentation frameworks (AFs). We study the complexity of existence of a repair, and deciding whether a given tuple belongs to some (or every) repair, by simulating the instances of these problems via AFs. We prove that subset-maximal repairs under functional dependencies correspond to the naive extensions, which also coincide with the preferred and stable extensions in the resulting AFs. For inclusion dependencies one needs a pre-processing step on the resulting AFs in order for the extensions to coincide. Allowing both types of dependencies breaks this relationship between extensions and only preferred semantics captures the repairs. Finally, we establish that the complexities of the above decision problems are -complete and -complete, when both functional and inclusion dependencies are allowed.

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