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Algebraic Properties of Qualitative Spatio-temporal Calculi

机译:定性时空计算的代数性质

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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 relation algebra.
机译:定性的空间和时间推理是基于所谓的定性计算。这些计算的代数性质对推理算法有一些影响。但是定性演算到底是什么?所提出的定性计算在何种程度上可以满足这些要求?文献为第一个问题提供了各种答案,但有关第二个问题的事实很少。在本文中,我们确定了对二进制时空计算的最低要求,并讨论了根据公理表示和推理的相关性。我们还分析了现有的定性计算,并提供了涉及关系代数不同概念的分类。

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