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arXiv · 1606.07337

Conjunctive Query Answering via a Fragment of Set Theory (Extended Version)

Domenico Cantone·Marianna Nicolosi-Asmundo·Daniele Francesco Santamaria
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Abstract

We address the problem of Conjunctive Query Answering (CQA) for the description logic $\dlssx$ ($\shdlssx$, for short) which extends the logic $\dlss$ with Boolean operations on concrete roles and with the product of concepts. The result is obtained by formalizing $\shdlssx$-knowledge bases and $\shdlssx$-conjunctive queries in terms of formulae of the four-level set-theoretic fragment $\flqsr$, which admits a restricted form of quantification on variables of the first three levels and on pair terms. We solve the CQA problem for $\shdlssx$ through a decision procedure for the satisfiability problem of $\flqsr$. We further define a \ke\space based procedure for the same problem, more suitable for implementation purposes, and analyze its computational complexity.

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Domenico Cantone, Marianna Nicolosi-Asmundo, Daniele Francesco Santamaria. 2016-06-23. Conjunctive Query Answering via a Fragment of Set Theory (Extended Version). https://arxiv.org/abs/1606.07337

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