A connection between clone theory and FCA provided by duality theory

  • Authors:

  • Sebastian Kerkhoff

  • Affiliations:

  • Institut für Algebra, Technische Universität Dresden, Germany

  • Venue:
  • ICFCA'12 Proceedings of the 10th international conference on Formal Concept Analysis
  • Year:
  • 2012

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Abstract

The aim of this paper is to show how Formal Concept Analysis can be used for the benefit of clone theory. More precisely, we show how a recently developed duality theory for clones can be used to dualize clones over bounded lattices into the framework of Formal Concept Analysis, where they can be investigated with techniques very different from those that universal algebraists are usually armed with. We also illustrate this approach with some small examples.