Abstract
In various applications one is interested in decomposing a given relation in a suitable manner. In this paper we want to study several decompositions of a binary relation R of the form R=F;E;G ⌣, i.e., into a composition of a partial function F, an ordering E and the converse of a partial function G.
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References
Chin, L.H., Tarski, A.: Distributive and modular laws in the arithmetic of relation algebras. University of California Press, Berkley (1951)
Codd, E.F.: A relational model of data for large shared data banks. Comm. ACM 13(6), 377–387 (1970)
Freyd, P., Scedrov, A.: Categories, Allegories. North-Holland, Amsterdam (1990)
Ganter, B., Wille, R.: Formal Concept Analysis - Mathematical Foundations. Springer, Heidelberg (1999)
Jaoua, A., Belkhiter, N., Ounalli, H., Moukam, T.: Databases. In: Brink, C., Kahl, W., Schmidt, G. (eds.) Relational Methods in Computer Science, Advances in Computer Science, pp. 196–210. Springer, Vienna (1997)
Olivier, J.P., Serrato, D.: Catégories de Dedekind. Morphismes dans les Catégories de Schröder. C.R. Acad. Sci. Paris 290, 939–941 (1980)
Olivier, J.P., Serrato, D.: Squares and Rectangles in Relational Categories - Three Cases: Semilattice, Distributive lattice and Boolean Non-unitary. Fuzzy sets and systems 72, 167–178 (1995)
Riguet, J.: Quelques propriétés des relations difonctionelles. C. R. Acad. Sci. Paris 230, 1999–2000 (1950)
Riguet, J.: Les relations de Ferrers. C. R. Acad. Sci. Paris 232, 1729–1730 (1951)
Schmidt, G., Ströhlein, T.: Relationen und Graphen. Springer, Heidelberg (1989); English version: Relations and Graphs. Discrete Mathematics for Computer Scientists. EATCS Monographs on Theoret. Comput. Sci., Springer, Heidelberg (1993).
Schmidt, G., Hattensperger, C., Winter, M.: Heterogeneous Relation Algebras. In: Brink, C., Kahl, W., Schmidt, G. (eds.) Relational Methods in Computer Science, Advances in Computer Science, pp. 40–54. Springer, Vienna (1997)
Winter, M.: Strukturtheorie heterogener Relationenalgebren mit Anwendung auf Nichtdetermismus in Programmiersprachen. Dissertationsverlag NG Kopierladen GmbH, München (1998)
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Winter, M. (2004). Decomposing Relations into Orderings. In: Berghammer, R., Möller, B., Struth, G. (eds) Relational and Kleene-Algebraic Methods in Computer Science. RelMiCS 2003. Lecture Notes in Computer Science, vol 3051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24771-5_23
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DOI: https://doi.org/10.1007/978-3-540-24771-5_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22145-6
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