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Title: Old and new algorithms for minimal coverability sets
Authors: Valmari, A.
Hansen, H. 
Issue Date: 2014
Citation: Valmari, A., Hansen, H. (2014). Old and new algorithms for minimal coverability sets. Fundamenta Informaticae 131 (1) : 1-25. ScholarBank@NUS Repository.
Abstract: Many algorithms for computing minimal coverability sets for Petri nets prune futures. That is, if a newmarking strictly covers an old one, then not just the old marking but also some subset of its successor markings is discarded from search. In this publication, a simpler algorithm that lacks future pruning is presented and proven correct. Its performance is compared with future pruning. It is demonstrated, using examples, that neither approach is systematically better than the other. However, the simple algorithm has some attractive features. It never needs to re-construct pruned parts of the minimal coverability set. It automatically gives most of the advantage of future pruning, if the minimal coverability set is constructed in depth-first or most tokens first order, and if so-called history merging is applied. Some implementation aspects of minimal coverability set construction are also discussed. Some measurements are given to demonstrate the effect of construction order and other implementation aspects.
Source Title: Fundamenta Informaticae
ISSN: 01692968
DOI: 10.3233/FI-2014-1002
Appears in Collections:Staff Publications

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