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arXiv 1305.7345cs.AI
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定性时空演算的代数性质

Algebraic Properties of Qualitative Spatio-Temporal Calculi

University of Bremen(不来梅大学);DFKI GmbH(德国人工智能研究中心有限公司)

Frank Dylla, Till Mossakowski, Thomas Schneider, Diedrich Wolter

摘要:

定性时空推理是基于所谓的定性演算。这些演算的代数性质对推理算法有几个影响。但什么是定性演算?在何种程度上提出的定性演算满足这些要求?文献对第一个问题提供了各种答案,但对第二个问题只有很少的事实。在本文中,我们确定的最低要求,二进制时空演算,我们讨论了相关的公理表示和推理。我们还分析了现有的定性演算,并提供了一个分类,涉及不同的概念的关系代数。

英文摘要:

Qualitative spatial and temporal reasoning is based on so-called qualitative calculi. Algebraic properties of these calculi have several implications on reasoning algorithms. But what exactly is a qualitative calculus? And to which extent do the qualitative calculi proposed meet these demands? The literature provides various answers to the first question but only few facts about the second. In this paper we identify the minimal requirements to binary spatio-temporal calculi and we discuss the relevance of the according axioms for representation and reasoning. We also analyze existing qualitative calculi and provide a classification involving different notions of a relation algebra.

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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