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New Simplification Rules for Databases with Positive and Negative Attributes

Author

Listed:
  • Domingo López-Rodríguez

    (Depto. de Matemática Aplicada, Universidad de Málaga, Andalucía Tech, 29071 Málaga, Spain
    These authors contributed equally to this work.)

  • Manuel Ojeda-Hernández

    (Department of Computing Science, Umeå University, 901 87 Umeå, Sweden
    These authors contributed equally to this work.)

  • Carlos Bejines

    (Depto. de Matemática Aplicada, Universidad de Málaga, Andalucía Tech, 29071 Málaga, Spain
    These authors contributed equally to this work.)

Abstract

In this paper, new logical equivalences are presented within the simplification logic with mixed attributes paradigm, which allow the obtention of bases of shorter, easier-to-read attribute implications. In addition to the theoretical results which show that the proposed equivalences indeed hold in simplification logic with mixed attributes, experimental results which showcase the effectiveness of this method are also provided. Furthermore, the simplification method presented is iterative and gives sufficiently good results in only one or two iterations, therefore presenting itself as a reasonable procedure in time-sensitive experiments.

Suggested Citation

  • Domingo López-Rodríguez & Manuel Ojeda-Hernández & Carlos Bejines, 2025. "New Simplification Rules for Databases with Positive and Negative Attributes," Mathematics, MDPI, vol. 13(2), pages 1-23, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:309-:d:1570282
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    References listed on IDEAS

    as
    1. Francisco Pérez-Gámez & Domingo López-Rodríguez & Pablo Cordero & Ángel Mora & Manuel Ojeda-Aciego, 2022. "Simplifying Implications with Positive and Negative Attributes: A Logic-Based Approach," Mathematics, MDPI, vol. 10(4), pages 1-19, February.
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