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Distance-based Merging: A General Framework and some Complexity Results

机译:基于距离的合并:一个通用框架和一些复杂性结果

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We present in this paper a new framework for propositional merging. Distance-based merging operators, parameterized by a distance between interpretations and two aggregation functions, are introduced. Many distances and aggregation functions can be used and many merging operators already defined in the literature (including both model-based ones and syntax-based ones) can be recovered as specific distance-based operators. Both logical and complexity properties of distance-based merging operators are studied. An important result is that (under very weak assumptions) query entailment from merged bases is "only" at the first level of the polynomial hierarchy when any of our distance-based operators is used. As a by-product, complexity results for several existing merging operators are derived as well.
机译:我们在本文中提出了命题合并的新框架。引入了基于距离的合并算子,该算子由解释和两个聚合函数之间的距离参数化。可以使用许多距离和聚合函数,并且可以将文献中已经定义的许多合并运算符(包括基于模型的运算符和基于语法的运算符)恢复为特定的基于距离的运算符。研究了基于距离的合并算子的逻辑和复杂性。一个重要的结果是(在非常弱的假设下)当使用我们任何基于距离的运算符时,来自合并基数的查询蕴含“仅”在多项式层次结构的第一级上。作为副产品,还得出了几个现有合并运算符的复杂度结果。

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