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Complete Geometric Query Languages

机译:完整的几何查询语言

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We extend Chandra and Harel's seminal work on computable queries for relational databases to a setting in which also spatial data may be present, using a constraint-based data model. Concretely, we introduce both coor- dinate-based and point-based query languages that are complete in the sense that they can express precisely all computable queries that are generic with respect to certain classes of transformations of space, corresponding to certain geometric interpretations of spatial data. The languages we introduce are obtained by augmenting basic languages with a “while” construct. We also show that the respective basic point-based languages are complete, relative to the subclass of the corresponding generic queries consisting of those that are expressible in the relational calculus with real polynomial constraints.
机译:我们使用基于约束的数据模型将Chandra和Harel在关系数据库的可计算查询方面的开创性工作扩展到可以同时存在空间数据的环境。具体而言,我们引入基于坐标的查询语言和基于点的查询语言,它们是完整的,因为它们可以精确地表达所有可计算的查询,这些查询对于空间的某些转换类而言是通用的,对应于空间的某些几何解释数据。我们介绍的语言是通过使用“ while”结构扩充基本语言而获得的。我们还显示,相对于由具有实多项式约束的关系演算中可表示的那些泛型查询组成的相应泛型查询的子类而言,各个基于点的基本语言是完整的。

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