@inproceedings{aeeb81e78e5040bb95148bcaecba29d6,
title = "The Impact of Negation on the Complexity of the Shapley Value in Conjunctive Queries",
abstract = "The Shapley value is a conventional and well-studied function for determining the contribution of a player to the coalition in a cooperative game. Among its applications in a plethora of domains, it has recently been proposed to use the Shapley value for quantifying the contribution of a tuple to the result of a database query. In particular, we have a thorough understanding of the tractability frontier for the class of Conjunctive Queries (CQs) and aggregate functions over CQs. It has also been established that a tractable (randomized) multiplicative approximation exists for every union of CQs. Nevertheless, all of these results are based on the monotonicity of CQs. In this work, we investigate the implication of negation on the complexity of Shapley computation, in both the exact and approximate senses. We generalize a known dichotomy to account for negated atoms. We also show that negation fundamentally changes the complexity of approximation. We do so by drawing a connection to the problem of deciding whether a tuple is {"}relevant{"} to a query, and by analyzing its complexity.",
keywords = "conjunctive queries, query answering, shapley value",
author = "Alon Reshef and Benny Kimelfeld and Ester Livshits",
note = "Publisher Copyright: {\textcopyright} 2020 Proceedings of the ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems. All rights reserved.; 39th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems, PODS 2020 ; Conference date: 14-06-2020 Through 19-06-2020",
year = "2020",
month = jun,
day = "14",
doi = "10.1145/3375395.3387664",
language = "الإنجليزيّة",
series = "Proceedings of the 39th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems",
pages = "285--297",
booktitle = "PODS 2020 - Proceedings of the 39th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems",
}