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The Expressive Power of partial Models for Disjunctive Deductive Databases

机译:析取演绎数据库的部分模型的表达能力

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We investigate the expressive power of patial model semantics for disjunctive deductive databases. In particular, partial stable, regular model, maximal stable, and least underfined stable semantics for function-free disjunctive logic programs are comsidered, for which the expressiveness of queries based on possibility and certainty inference is determined. The analysis pays particular attenion to the impact ofsyntactical restrictions on programs in the form of limited use of disjunction and negation. IT appears that the considered semantics capture complexity classes at the lower end of the polynomial hierarchy. In particular, L-stable semantics has the highest expressive power(sum_3~P resp. II_3~P). An Interesting result in this course is that, in contrast with total stable models, negation is for partial stable models more expressive than disjunction.
机译:我们研究空间模型语义对析取演绎数据库的表达能力。特别是,针对无功能析取逻辑程序,考虑了部分稳定,规则模型,最大稳定和最不完善的稳定语义,为此确定了基于可能性和确定性推断的查询的表达性。该分析特别注意语法限制对程序的影响,其形式为限制使用析取和否定。看来,所考虑的语义在多项式层次结构的较低端捕获了复杂性类。特别是,L稳定语义具有最高的表达能力(sum_3〜P或II_3〜P)。与整个稳定模型相比,此过程中一个有趣的结果是,否定表示部分稳定模型比析取更具表达力。

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