Abductive approach to prototyping data flow diagrams

Erik T. H. Fung
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Abstract

In this paper, we propose to develop prototypes of data flow diagrams using a logical framework, which is based on an extension of logic programming to perform abductive reasoning (abductive logic programming). Based on the framework, we discuss how to represent a data flow diagram in a declarative manner as a set of logical sentences and outline a proof procedure. Given the declarative representation of a data flow diagram, the proof procedure can be applied, which combines forward and backward chaining in a structured manner. Unlike the conventional logic programming, the computed answers are abducible atoms directly representing the outputs. When restricting to the use of pure Prolog, we provide the semantics of the outputs under the abductive logical framework and show the soundness and completeness of the proof procedure. We compare our approach with conventional backward chaining and finally discuss some further enhancements.
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数据流程图原型的派生方法
在本文中,我们建议使用逻辑框架开发数据流图的原型,该框架基于逻辑编程的扩展来执行溯因推理(溯因逻辑编程)。在此框架的基础上,我们讨论了如何以声明的方式将数据流程图表示为一组逻辑句子,并概述了证明过程。给定数据流程图的声明式表示,就可以应用证明过程,它以结构化的方式组合了向前和向后链接。与传统的逻辑编程不同,计算出的答案是直接表示输出的可溯因原子。当限于纯Prolog的使用时,我们给出了溯因逻辑框架下输出的语义,并证明了证明过程的健全性和完备性。我们将这种方法与传统的后向链进行了比较,最后讨论了一些进一步的改进。
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