Geodesic
A simple algorithm for solving the coverability problem for monotonic counter systems
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 4, pp. 106-117

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An algorithm for solving the coverability problem for monotonic counter systems is presented. The solvability of this problem is well-known, but the algorithm is interesting due to its simplicity. The algorithm has emerged as a simplification of a certain procedure of a supercompiler application (a program specializer based on V.F. Turchin's supercompilation) to a program encoding a monotonic counter system along with initial and target sets of states and from the proof that under some conditions the procedure terminates and solves the coverability problem.
Keywords: well-structured transition systems, counter systems, reachability, coverability, supercompilation. 
@article{MAIS_2011_18_4_a9,
     author = {A. V. Klimov},
     title = {A simple algorithm for solving the coverability problem for monotonic counter systems},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {106--117},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_4_a9/}
}
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A. V. Klimov. A simple algorithm for solving the coverability problem for monotonic counter systems. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 4, pp. 106-117. http://geodesic.mathdoc.fr/item/MAIS_2011_18_4_a9/