The Shapley Value of Inconsistency Measures for Functional Dependencies

Quantifying the inconsistency of a database is motivated by various goals including reliability estimation for new datasets and progress indication in data cleaning. Another goal is to attribute to individual tuples a level of responsibility to the overall inconsistency, and thereby prioritize tuple...

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Veröffentlicht in:Logical methods in computer science Jg. 18, Issue 2
Hauptverfasser: Livshits, Ester, Kimelfeld, Benny
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Logical Methods in Computer Science e.V 15.06.2022
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ISSN:1860-5974, 1860-5974
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Zusammenfassung:Quantifying the inconsistency of a database is motivated by various goals including reliability estimation for new datasets and progress indication in data cleaning. Another goal is to attribute to individual tuples a level of responsibility to the overall inconsistency, and thereby prioritize tuples in the explanation or inspection of dirt. Therefore, inconsistency quantification and attribution have been a subject of much research in Knowledge Representation and, more recently, in Databases. As in many other fields, a conventional responsibility sharing mechanism is the Shapley value from cooperative game theory. In this paper, we carry out a systematic investigation of the complexity of the Shapley value in common inconsistency measures for functional-dependency (FD) violations. For several measures we establish a full classification of the FD sets into tractable and intractable classes with respect to Shapley-value computation. We also study the complexity of approximation in intractable cases.
ISSN:1860-5974
1860-5974
DOI:10.46298/lmcs-18(2:20)2022