arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1007.4040cs.AIcs.LO
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描述逻辑程序的循环公式

Loop Formulas for Description Logic Programs

Guizhou University(贵州大学);University of Alberta(阿尔伯塔大学)

Yisong Wang, Jia-Huai You, Li Yan Yuan, Yi-Dong Shen

摘要:

Eiter等人提出的描述逻辑程序(DL-programs)为语义Web提供了一种简洁而强大的形式化方法,用于集成回答集编程和描述逻辑。本文将逻辑程序的完备化和循环公式的概念推广到描述逻辑程序,并证明了dl-程序的完备化和循环公式的模型可以精确地捕捉到dl-程序的回答集。此外,我们提出了一个新的,替代的语义DL-程序,称为{ \em规范答案集语义},这是由模型定义的完成,满足所谓的规范循环公式。规范答案集的一个理想性质是它们没有循环论证。本文还探讨了规范答案集的一些性质。

英文摘要:

Description Logic Programs (dl-programs) proposed by Eiter et al. constitute an elegant yet powerful formalism for the integration of answer set programming with description logics, for the Semantic Web. In this paper, we generalize the notions of completion and loop formulas of logic programs to description logic programs and show that the answer sets of a dl-program can be precisely captured by the models of its completion and loop formulas. Furthermore, we propose a new, alternative semantics for dl-programs, called the {\em canonical answer set semantics}, which is defined by the models of completion that satisfy what are called canonical loop formulas. A desirable property of canonical answer sets is that they are free of circular justifications. Some properties of canonical answer sets are also explored.

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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