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arXiv 2407.20754cs.LOcs.AIcs.DB
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基于代价的不一致加权知识库查询语义

Cost-Based Semantics for Querying Inconsistent Weighted Knowledge Bases

Université de Bordeaux(波尔多大学);CNRS(法国国家科学研究中心);Bordeaux INP(波尔多国立综合理工学院);LaBRI(波尔多计算机科学研究实验室);Japanese-French Laboratory for Informatics(日法信息学实验室);NII(日本国立信息学研究所);DI ENS(巴黎高等师范学院信息学系);ENS(巴黎高等师范学院);PSL University(巴黎文理大学);Inria(法国国家信息与自动化研究所)

Meghyn Bienvenu, Camille Bourgaux, Robin Jean

AI总结:

本文针对含公理与断言权重的不一致描述逻辑知识库,定义基于代价的确定、可能答案概念,分析了ELbot至ALCO各类描述逻辑中相关问题的组合与数据复杂度。

摘要:

本文探究一种量化方法,用于查询不一致的描述逻辑知识库。所考虑的加权知识库中,公理和断言均具有(可能为无限的)权重,这些权重会依据解释违反的公理与断言,为每个解释分配代价。通过考虑代价不超过给定界限的解释,或聚焦于最优代价解释,定义了确定答案与可能答案两种概念。主要贡献是对从ELbot到ALCO的各类描述逻辑,分析了有界代价可满足性及确定、可能答案识别的组合复杂度与数据复杂度。

英文摘要:

In this paper, we explore a quantitative approach to querying inconsistent description logic knowledge bases. We consider weighted knowledge bases in which both axioms and assertions have (possibly infinite) weights, which are used to assign a cost to each interpretation based upon the axioms and assertions it violates. Two notions of certain and possible answer are defined by either considering interpretations whose cost does not exceed a given bound or restricting attention to optimal-cost interpretations. Our main contribution is a comprehensive analysis of the combined and data complexity of bounded cost satisfiability and certain and possible answer recognition, for description logics between ELbot and ALCO.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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