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Cardinal Addition in Distributive Allegories

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Relations and Kleene Algebra in Computer Science (RelMiCS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5827))

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Abstract

In this paper we want to extend the abstract approach to the size of a relation based on a cardinality function. Assuming suitable extra structure on the underlying distributive allegory we are going to define addition on cardinalities and investigate its basic properties.

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Author information

Authors and Affiliations

  1. Department of Informatics, Kyushu University, Fukuoka, Japan

    Yasuo Kawahara

  2. Department of Computer Science, Brock University, St. Catharines, Ontario, Canada, L2S 3A1

    Michael Winter

Authors
  1. Yasuo Kawahara
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  2. Michael Winter
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Christian-Albrechts-Universität zu Kiel, Olshausenstraße 40, 24098, Kiel, Germany

    Rudolf Berghammer

  2. College of Engineering, Qatar University, P.O. Box 2713, CSE 209, Doha, Qatar,  

    Ali Mohamed Jaoua

  3. Institut für Informatik, Universität Augsburg, Universitätsstr. 6a, 86135, Augsburg, Germany

    Bernhard Möller

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Kawahara, Y., Winter, M. (2009). Cardinal Addition in Distributive Allegories. In: Berghammer, R., Jaoua, A.M., Möller, B. (eds) Relations and Kleene Algebra in Computer Science. RelMiCS 2009. Lecture Notes in Computer Science, vol 5827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04639-1_16

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  • DOI: https://doi.org/10.1007/978-3-642-04639-1_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04638-4

  • Online ISBN: 978-3-642-04639-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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