4.23/4.25: Difference R_weird and LABELS

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felicis
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4.23/4.25: Difference R_weird and LABELS

Beitrag von felicis » 10. Mai 2016 18:55

Hi,

I didn't really get the difference between \(\mathscr{R}\) and the set \(LABELS\)? They are both parameters and thus arbitrarily chosen....

best
felicis

PS: I tried to reproduce the curly R, but the font which was used is Blackadder ITC, a commercial font (acquirable for ~$40), and therefore not usable by everyone who doesn't have Windows and of course not in this forum or any mathjax/latex-like setting..... :cry:

Markus Tasch
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Re: 4.23/4.25: Difference R_weird and LABELS

Beitrag von Markus Tasch » 11. Mai 2016 09:37

The usage of two parameters in the definition allows you to restrict the allowed labels \(l \in LABELS\) by excluding certain instances in your definition of the rules \(\mathcal{R}\).

While in most cases \(LABELS = \mathcal{R}\) holds, this gives additional freedom in the design of your system. For instance, you may define a rather generic set of of labels \(LABELS\) and, depending on the concrete scenario you are in, choose different sets of rules \(\mathcal{R}\). This allows you to reuse the generic variant of \(LABELS\) even though in certain scenarios you do not want all of these labels to possible.
Markus Tasch, M.Sc.
Modeling and Analysis of Information Systems
Department of Computer Science, TU Darmstadt
http://www.mais.informatik.tu-darmstadt.de

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