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Algebraic Aspects of Duality Diagrams

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Diagrammatic Representation and Inference (Diagrams 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7352))

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Abstract

Duality phenomena are widespread in logic and language; their behavior is visualized using square diagrams. This paper shows how our recent algebraic account of duality can be fruitfully used to study these diagrams. A duality cube is constructed, and it is shown that 14 duality squares can be embedded into this cube (two of which were hitherto unknown). This number is also an upper bound.

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References

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Author information

Authors and Affiliations

  1. University of Leuven, Belgium

    Lorenz Demey

Authors
  1. Lorenz Demey
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Editor information

Editors and Affiliations

  1. Faculty of Computer Science, Dalhousie University, 6050 University Avenue, B3H 1W4, Halifax, NS, Canada

    Philip Cox

  2. Department of Computer Science, University of Auckland, Private bag 92019, Auckland, New Zealand

    Beryl Plimmer

  3. School of Computing, Unviersity of Kent, CT2 7NF, Canterbury, UK

    Peter Rodgers

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© 2012 Springer-Verlag Berlin Heidelberg

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Demey, L. (2012). Algebraic Aspects of Duality Diagrams. In: Cox, P., Plimmer, B., Rodgers, P. (eds) Diagrammatic Representation and Inference. Diagrams 2012. Lecture Notes in Computer Science(), vol 7352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31223-6_32

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  • DOI: https://doi.org/10.1007/978-3-642-31223-6_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31222-9

  • Online ISBN: 978-3-642-31223-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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