References
Karp R M, Miller R E. Parallel program schemata. J Comput Syst Sci, 1969, 3: 147–195
Wang F Y, Gao Y, Zhou M C. A modified reachability tree approach to analysis of unbounded Petri nets. IEEE Trans Syst Man Cybern B, 2004, 34: 303–308
Ru Y, Wu W M, Hadjicostis C. Comments on “a modified reachability tree approach to analysis of unbounded Petri nets”. IEEE Trans Syst Man Cybern B, 2006, 36: 1210
Wang S G, Zhou M C, Li Z W, et al. A new modified reachability tree approach and its applications to unbounded Petri nets. IEEE Trans Syst Man Cybern Syst, 2013, 43: 932–940
Wang S G, Gan M D, Zhou M C. Macro liveness graph and liveness of ω-independent unbounded nets. Sci China Inf Sci, 2015, 58: 032201
Ginsburg S, Spanier E. Semigroups, Presburger formulas, and languages. Pac J Math, 1966, 16: 285–296
Hauschildt D. Semilinearity of the reachability set is decidable for Petri nets. Dissertation for Ph.D. Degree. Hamburg: University of Hamburg, 1990
Lambert J L. Vector addition systems and semilinearity. SIAM J Comput, 1994
Yen H C. Path decomposition and semilinearity of Petri nets. Int J Found Comput Sci, 2009, 20: 581–596
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This work was supported by National Natural Science Foundation of China (Grant No. 61374148).
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Wang, S., You, D. & Zhou, M. New reachability trees for analyzing unbounded Petri nets with semilinear reachability sets. Sci. China Inf. Sci. 61, 129104 (2018). https://doi.org/10.1007/s11432-017-9446-3
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DOI: https://doi.org/10.1007/s11432-017-9446-3