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The Least Fixpoint Transformation for Disjunctive Logic Programs

机译:析取逻辑程序的最小定点转换

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The paradigm of disjunctive logic programming (DLP) enhances greatly the ex- pressive power of normal logic programming (NLP) and many (declarative) semantics have been defined for DLP to cope with various problems of knowledge representa- tion in artificial intelligence. However, the expressive ability of the semantics and the soundness of program transformation for DLP have been rarely explored. This paper defines an immediate consequence operator T~G_P for each disjunctive program and shows that T~G_P has the least and computable fixpoint Lft(P). Lft is, in fact, a program transformation for DLP, which transforms all disjunctive programs into negative pro- grams. It is shown that Lft preserves many key semantics. Including the disjunctive stable models , well-founded model, disjunctive argument semantics DAS, three-valued models, etc.
机译:逻辑逻辑编程(DLP)范例极大地增强了常规逻辑编程(NLP)的表达能力,并且为DLP定义了许多(声明性)语义,以应对人工智能中各种知识表示问题。但是,很少有关于DLP的语义表达能力和程序转换的合理性的探讨。本文为每个析取程序定义了一个即时结果算子T〜G_P,并表明T〜G_P具有最少的可计算定点Lft(P)。实际上,Lft是DLP的程序转换,它将所有析取程序转换为负程序。结果表明,Lft保留了许多关键语义。包括析取稳定模型,有根据的模型,析取论点语义DAS,三值模型等。

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