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A Connection between Clone Theory and FCA Provided by Duality Theory

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Formal Concept Analysis (ICFCA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7278))

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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.

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Author information

Authors and Affiliations

  1. Institut für Algebra, Technische Universität Dresden, Germany

    Sebastian Kerkhoff

Authors
  1. Sebastian Kerkhoff
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Editor information

Editors and Affiliations

  1. Computer Science Department, University of Nicosia, 46 Makedonitissas Ave., 1700, Nicosia, Cyprus

    Florent Domenach

  2. Higher School of Economics, National Research University, Pokrovsky Boulevard, 109028, Moscow, Russia

    Dmitry I. Ignatov

  3. Faculty of Business and Economics, Katholieke Universiteit Leuven, Naamsestraat 69, 3000, Leuven, Belgium

    Jonas Poelmans

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Kerkhoff, S. (2012). A Connection between Clone Theory and FCA Provided by Duality Theory. In: Domenach, F., Ignatov, D.I., Poelmans, J. (eds) Formal Concept Analysis. ICFCA 2012. Lecture Notes in Computer Science(), vol 7278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29892-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-29892-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29891-2

  • Online ISBN: 978-3-642-29892-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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