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Splitting Atoms in Relational Algebras

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Relational and Algebraic Methods in Computer Science (RAMICS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6663))

Abstract

Splitting atoms in a relation algebra is a common tool to generate new algebras from old ones. This includes constructing non-representable algebras from representable structures. The known method of splitting atoms does not allow that bijections different from the identity are contained in the starting algebra. This is a major drawback of that method because interesting candidates in mereotopology do contain such bijections. An ad-hoc splitting was done in those examples, and the results have been published in several papers. With this paper we want to start a thorough investigation of possible splitting methods.

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Authors and Affiliations

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

    Prathap Siddavaatam & Michael Winter

Authors
  1. Prathap Siddavaatam
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  2. Michael Winter
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Editor information

Editors and Affiliations

  1. Faculty of Philosophy, Tilburg University, P.O. Box 90153, 5000, Tilburg, LE, The Netherlands

    Harrie de Swart

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Siddavaatam, P., Winter, M. (2011). Splitting Atoms in Relational Algebras. In: de Swart, H. (eds) Relational and Algebraic Methods in Computer Science. RAMICS 2011. Lecture Notes in Computer Science, vol 6663. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21070-9_24

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  • DOI: https://doi.org/10.1007/978-3-642-21070-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21069-3

  • Online ISBN: 978-3-642-21070-9

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