Concepedia

Boolean Duality

Boolean Duality is a fundamental principle in Boolean algebra stating that every algebraic expression or identity remains valid when the operators AND and OR are interchanged and the identity elements 0 and 1 are swapped, thereby preserving the structure and logical equivalence under dual transformation.

31

Publications

1.1K

Citations

64

Authors

48

Institutions

Publications per year

2017–2026

2

Variants

Principle Of Duality

Parents

Publications

31

The condition for a cyclic code to have a complementary dual

Yang Xiang, James L. Massey · Discrete Mathematics · 1994 · 209 citations

, , +9

Semi-Boolean algebras and their applications to intuitionistic logic with dual operations

Cecylia Rauszer · Fundamenta Mathematicae · 1974 · 129 citations · Full text

, , +12

Dual subimplicants of positive Boolean functions

Endre Boros, Vladimir Gurvich, Peter L. Hammer · Optimization methods & software · 1998 · 79 citations

, , +14

Duality for digital nets and its applications

Harald Niederreiter, Gottlieb Pirsic · Acta Arithmetica · 2001 · 71 citations · Full text

, , +8

Self-dual bent functions

Claude Carlet, Lars Eirik Danielsen, Matthew G. Parker et al. · International Journal of Information and Coding Theory · 2010 · 51 citations

, , +13

1–5 of 31

Authors

64

  1. TI
    Toshihide Ibaraki

    Kyoto University, Japan

    2 publications · 32 citations

    2

    h-index

  2. MA
    Mustafa Altun

    Istanbul Technical University, Türkiye

    2 publications · 54 citations

    2

    h-index

  3. MD
    Marc D. Riedel

    University of Minnesota, United States

    2 publications · 54 citations

    2

    h-index

  4. FM
    F. Miraglia

    Institut de Mathématiques de Jussieu-Paris Rive Gauche, France

    1 publications · 48 citations

    1

    h-index

  5. JV
    J. Vasudevamurthy

    McGill University, Canada

    1 publications · 29 citations

    1

    h-index

1–5 of 64

Institutions

48

  1. Laboratoire Analyse, Géométrie et Applications

    Villetaneuse, France

    2 h-index

    2 publications

    83 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    83 citations

  3. Télécom Paris

    Palaiseau, France

    2 h-index

    2 publications

    83 citations

  4. Rutgers, The State University of New Jersey

    New Brunswick, United States

    2 h-index

    4 publications

    281 citations

  5. Université Paris 8

    Paris, France

    2 h-index

    2 publications

    83 citations

  6. Kyoto University

    Kyoto, Japan

    2 h-index

    2 publications

    32 citations

  7. University of Minnesota

    Minneapolis, United States

    2 h-index

    4 publications

    108 citations

  8. Université Sorbonne Paris Nord

    Villetaneuse, France

    2 h-index

    2 publications

    83 citations

1–8 of 48

Venues

  1. IEEE Transactions on Computers

    2 publications · 59 citations

    2

    h-index

  2. Discrete Mathematics

    2 publications · 219 citations

    2

    h-index

  3. Memoirs of the American Mathematical Society

    2 publications · 90 citations

    2

    h-index

  4. Linear Algebra and its Applications

    2 publications · 44 citations

    2

    h-index

  5. Fuzzy Sets and Systems

    2 publications · 32 citations

    2

    h-index

1–5