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Issue title: 14th and 15th International Conferences on Reachability Problems
Guest editors: Paul C. Bell, Igor Potapov, Sylvain Schmitz and Patrick Totzke
Article type: Research Article
Authors: Devillers, Raymonda | Tredup, Ronnyb; *
Affiliations: [a] Département d’Informatique, Université Libre de Bruxelles, Boulevard du Triomphe, C.P. 212, B-1050 Bruxelles, Belgium. raymond.devillersl@ulb.be | [b] Geschwister-Scholl-Gymnasium Löbau, Pestalozzistraße 21, 02708 Löbau Germany. tredupron@gsg-loebau.lernsax.de
Correspondence: [*] Address for correspondence: Geschwister-Scholl-Gymnasium Löbau, Pestalozzistraße 21, 02708 Löbau Germany
Abstract: Let us consider some class of (Petri) nets. The corresponding Synthesis problem consists in deciding whether a given labeled transition system (TS) A can be implemented by a net N of that class. In case of a negative decision, it may be possible to convert A into an implementable TS B by applying various modification techniques, like relabeling edges that previously had the same label, suppressing edges/states/events, etc. It may however be useful to limit the number of such modifications to stay close to the original problem, or optimize the technique. In this paper, we show that most of the corresponding problems are NP-complete if the considered class corresponds to so-called flip-flop nets or some flip-flop net derivatives.
Keywords: Petri net, Boolean Types, Label-Splitting, Edge-Removal, Event-Removal, State-Removal, Synthesis, Complexity
DOI: 10.3233/FI-222161
Journal: Fundamenta Informaticae, vol. 189, no. 3-4, pp. 261-296, 2022
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