Abstract
This publication addresses two bottlenecks in the construction of minimal coverability sets of Petri nets: the detection of situations where the marking of a place can be converted to ω, and the manipulation of the set A of maximal ω-markings that have been found so far. For the former, a technique is presented that consumes very little time in addition to what maintaining A consumes. It is based on Tarjan’s algorithm for detecting maximal strongly connected components of a directed graph. For the latter, a data structure is introduced that resembles BDDs and Covering Sharing Trees, but has additional heuristics designed for the present use. Results from initial experiments are shown. They demonstrate significant savings in running time and varying savings in memory consumption compared to an earlier state-of-the-art technique.
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Piipponen, A., Valmari, A. (2013). Constructing Minimal Coverability Sets. In: Abdulla, P.A., Potapov, I. (eds) Reachability Problems. RP 2013. Lecture Notes in Computer Science, vol 8169. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41036-9_17
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DOI: https://doi.org/10.1007/978-3-642-41036-9_17
Publisher Name: Springer, Berlin, Heidelberg
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