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标题：The Shapley Value of Inconsistency Measures for Functional Dependencies
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作者：Livshits, Ester ; Kimelfeld, Benny
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2021
卷号：186
页码：15:1-15:19
DOI：10.4230/LIPIcs.ICDT.2021.15
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：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.
关键词：Shapley value; inconsistent databases; functional dependencies; database repairs