On the succinctness of query rewriting over shallow ontologies

S. Kikot, R. Kontchakov, V. Podolskii, M. Zakharyaschev
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引用次数: 13

Abstract

We investigate the succinctness problem for conjunctive query rewritings over OWL 2QL ontologies of depth 1 and 2 by means of hypergraph programs computing Boolean functions. Both positive and negative results are obtained. We show that, over ontologies of depth 1, conjunctive queries have polynomial-size nonrecursive datalog rewritings; tree-shaped queries have polynomial positive existential rewritings; however, in the worst case, positive existential rewritings can be superpolynomial. Over ontologies of depth 2, positive existential and nonrecursive datalog rewritings of conjunctive queries can suffer an exponential blowup, while first-order rewritings can be superpolynomial unless NP ⊆ P/poly. We also analyse rewritings of tree-shaped queries over arbitrary ontologies and note that query entailment for such queries is fixed-parameter tractable.
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浅本体上查询重写的简洁性
利用超图程序计算布尔函数,研究了深度为1和2的owl2ql本体上连接查询重写的简洁性问题。得到了肯定和否定的结果。我们证明,在深度为1的本体上,合取查询具有多项式大小的非递归数据重写;树形查询具有多项式正存在重写;然而,在最坏的情况下,正存在重写可能是超多项式。在深度为2的本体论上,合取查询的正存在和非递归数据重写可能出现指数膨胀,而一阶重写可能是超多项式,除非NP≥P/poly。我们还分析了任意本体上树形查询的重写,并注意到此类查询的查询蕴涵是固定参数可处理的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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