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In this paper we give a formal definition of examples(or training instances) that are widely used in the field of concept learning. Based on this definition, we discuss the operators introduced by Mug...gieton[2] in Duce system, especially the suffficiency of operators identification and inter-construction in the sense that for any given ground definite program P we can give out a set of examples(named characteristic sample) from which we can learn P using these two operators. For this purpose, we define the concept of unique definition for ideiitification and inter-construction which corresponds to the isolated reference defined by Muggleton[4] for absorption and intra-construction. We also discuss the independence of Duce operators.続きを見る
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