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Unfortunately the proof in [1], pp. 24 25, involves an erroneous management of hitting times in combination with a truncation technique, and the limit system may not be well defined under the too general hypothesis used by the authors.
The transition (t_{f_2}) takes a token from (p_2) and puts a token into (p_3) out of the correct sequence, (t_{f_6}) does the same for (p_{12}) and (p_{11}), and (t_{f_5}) involves an erroneous generation of a token in (p_{l0}) which directly influences the position of the barrier.
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