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Combining Existential Rules with the Power of CP-Theories

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Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence. Special Track on Knowledge Representation and Reasoning. Pages 2918-2924.

Abstract

The tastes of a user can be represented in a natural way by using qualitative preferences. In this paper, we explore how ontological knowledge expressed via existential rules can be combined with CP-theories to (i) represent qualitative preferences along with domain knowledge, and (ii) perform preference-based answering of conjunctive queries (CQs). We call these combinations ontological CP-theories (OCP-theories). We define skyline and k-rank answers to CQs based on the user’s preferences encoded in an OCP-theory, and provide an algorithm for computing them. We also provide precise complexity (including data tractability) results for deciding consistency, dominance, and CQ skyline membership for OCP-theories.

Tommaso Di Noia, Thomas Lukasiewicz, María Vanina Martínez, Gerardo Ignacio Simari, and Oana Tifrea-Marciuska. 2015. Combining Existential Rules with the Power of CP-Theories. In Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence, IJCAI-15. IJCAI, 2918–2924. https://ijcai.org/proceedings/2015/413
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