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Well-foundedness and the transitive closure

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Programming and Mathematical Method

Part of the book series: NATO ASI Series ((NATO ASI F,volume 88))

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Abstract

The transitive closure of relation R is defined as the strongest relation S that satisfies for all x,y (in the domain of R) $$\rm xSy \eq xRy \vee ({\b E}z: zRy: xSz).$$

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© 1992 Springer-Verlag Berlin Heidelberg

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van Gasteren, A.J.M., Dijkstra, E.W. (1992). Well-foundedness and the transitive closure. In: Broy, M. (eds) Programming and Mathematical Method. NATO ASI Series, vol 88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77572-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-77572-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77574-1

  • Online ISBN: 978-3-642-77572-7

  • eBook Packages: Springer Book Archive

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