Channeling abstraction

  • Authors:
  • Stijn De Saeger;Atsushi Shimojima

  • Affiliations:
  • School of Information Science, Japan Advanced Institute of Science and Technology;Faculty of Culture and Information Science, Doshisha University

  • Venue:
  • SARA'07 Proceedings of the 7th International conference on Abstraction, reformulation, and approximation
  • Year:
  • 2007

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Abstract

This paper presents work on the formalization of abstraction in knowledge representation. It is part of ongoing research on what might be termed "functional context dependence" or the relation between abstraction and idealization on the one hand, and approximation and the granularity of representation on the other. For the purpose of this paper we focus solely on abstraction. We briefly survey some existing theories, present an alternative framework for modeling abstraction based on channel theory and discuss two possible interpretations of the abstraction process -- abstraction as a mapping between representations of different granularity, and abstraction as a theory.