An upper bound is given for the complexity of the Karp-Miller decision procedure for the Finite Containment Problem for pairs of Petri nets; the procedure is shown to be primitive recursive in the Ackermann function. Bounds for the lengths of the searches involved are obtained in terms of large finite sets in the sense of Paris-Harrington and of Ketonen-Solovay. © 1984.
McAloon, K. (1984). Petri nets and large finite sets. Theoretical Computer Science, 32(1–2), 173–183. https://doi.org/10.1016/0304-3975(84)90029-X