Inferability of unbounded unions of certain closed set systems

  • Authors:
  • Yuichi Kameda;Hiroo Tokunaga

  • Affiliations:
  • Department of Mathematics and Information Sciences, Graduate School of Science and Engineering, Tokyo Metropolitan University, Hachioji-shi, Japan;Department of Mathematics and Information Sciences, Graduate School of Science and Engineering, Tokyo Metropolitan University, Hachioji-shi, Japan

  • Venue:
  • JSAI-isAI'09 Proceedings of the 2009 international conference on New frontiers in artificial intelligence
  • Year:
  • 2009

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Abstract

In this article, we study inferability from positive data for the unbounded union of certain class of languages. In order to show inferability, we put an emphasis on a characteristic set of a given language. We consider a class of closed set systems such that there exists an algorithm for generating a characteristic set consisting of one element. Two concrete examples of closed set systems with such algorithms are given. Furthermore, we consider applications of these examples to the study of transaction databases.