Relations and Kleene Algebra in Computer Science: 10th by Marc Pauly (auth.), Rudolf Berghammer, Bernhard Möller,

By Marc Pauly (auth.), Rudolf Berghammer, Bernhard Möller, Georg Struth (eds.)

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Extra info for Relations and Kleene Algebra in Computer Science: 10th International Conference on Relational Methods in Computer Science, and 5th International Conference on Applications of Kleene Algebra, RelMiCS/AKA 2008, Frauenwörth, Germany, April 7-11, 2008. Procee

Sample text

J = N = We have used RelView to generate the membership-relation M : S × G ↔ 2S×G T of size 60 × 260 for this example and to determine then the vector t = Φ(M) 60 of length 2 by translating the definition of Φ into its programming language. The tool showed that t has 144 1-entries, which means that there are exactly 144 solutions for the given problem, represented by 144 columns of M. Selecting a point p ⊆ t and defining v as composition Mp, a vector of type [S × G ↔ 1] and its corresponding relation S = rel(v) : S ↔ S have been computed such that the latter is a solution of our timetabling problem.

J = N = We have used RelView to generate the membership-relation M : S × G ↔ 2S×G T of size 60 × 260 for this example and to determine then the vector t = Φ(M) 60 of length 2 by translating the definition of Φ into its programming language. The tool showed that t has 144 1-entries, which means that there are exactly 144 solutions for the given problem, represented by 144 columns of M. Selecting a point p ⊆ t and defining v as composition Mp, a vector of type [S × G ↔ 1] and its corresponding relation S = rel(v) : S ↔ S have been computed such that the latter is a solution of our timetabling problem.

It was posed to us by the administration of our university and stems from the adoption of the British-American system of university education in Germany. This change led to the concrete task of constructing a timetable that enables the undergraduate education of secondary school teachers within three years in the “normal case” and within four years in the case of exceptional combinations of fields of study. We develop a relational model of the special timetabling problem and apply the RelView tool to compute solutions.

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