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Stepwise construction of the Dedekind-MacNeille completion

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Book cover Conceptual Structures: Theory, Tools and Applications (ICCS 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1453))

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Abstract

Lattices are mathematical structures which are frequently used for the representation of data. Several authors have considered the problem of incremental construction of lattices. We show that with a rather general approach, this problem becomes well-structured. We give simple algorithms with satisfactory complexity bounds.

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References

  1. Bernhard Ganter, Rudolf Wille: Formale Begriffsanalyse — Mathematische Grundlagen. Springer Verlag 1996.

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  3. Martin Skorsky: Endliche Verbände — Diagramme und Eigenschaften. Shaker, 1992.

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  4. Petko Valtchev: An Algorithm for Minimal Insertion in a Type Lattice. Second International KRUSE Symposium, Vancouver, 1997.

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  5. Rudolf Wille: Finite distributive lattices as concept lattices. Atti Inc. Logica Mathematica, 2 (1985).

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Marie-Laure Mugnier Michel Chein

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© 1998 Springer-Verlag Berlin Heidelberg

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Ganter, B., Kuznetsov, S.O. (1998). Stepwise construction of the Dedekind-MacNeille completion. In: Mugnier, ML., Chein, M. (eds) Conceptual Structures: Theory, Tools and Applications. ICCS 1998. Lecture Notes in Computer Science, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054922

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  • DOI: https://doi.org/10.1007/BFb0054922

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64791-1

  • Online ISBN: 978-3-540-68673-6

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