We study the complexity of the reachability problem for a new subclass of Petri nets called simple-circuit Petri nets, which properly contains several well known subclasses such as conflict-free, BPP, normal Petri nets and more. A new decomposition approach is applied to developing an integer linear programming formulation for characterizing the reachability sets of such Petri nets. Consequently, the reachability problem is shown to be NP-complete. The model checking problem for some temporal logics is also investigated for simple-circuit Petri nets.
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Hsu-Chun YEN, Lien-Po YU, "Petri Nets with Simple Circuits" in IEICE TRANSACTIONS on Information,
vol. E88-D, no. 9, pp. 2113-2125, September 2005, doi: 10.1093/ietisy/e88-d.9.2113.
Abstract: We study the complexity of the reachability problem for a new subclass of Petri nets called simple-circuit Petri nets, which properly contains several well known subclasses such as conflict-free, BPP, normal Petri nets and more. A new decomposition approach is applied to developing an integer linear programming formulation for characterizing the reachability sets of such Petri nets. Consequently, the reachability problem is shown to be NP-complete. The model checking problem for some temporal logics is also investigated for simple-circuit Petri nets.
URL: https://global.ieice.org/en_transactions/information/10.1093/ietisy/e88-d.9.2113/_p
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@ARTICLE{e88-d_9_2113,
author={Hsu-Chun YEN, Lien-Po YU, },
journal={IEICE TRANSACTIONS on Information},
title={Petri Nets with Simple Circuits},
year={2005},
volume={E88-D},
number={9},
pages={2113-2125},
abstract={We study the complexity of the reachability problem for a new subclass of Petri nets called simple-circuit Petri nets, which properly contains several well known subclasses such as conflict-free, BPP, normal Petri nets and more. A new decomposition approach is applied to developing an integer linear programming formulation for characterizing the reachability sets of such Petri nets. Consequently, the reachability problem is shown to be NP-complete. The model checking problem for some temporal logics is also investigated for simple-circuit Petri nets.},
keywords={},
doi={10.1093/ietisy/e88-d.9.2113},
ISSN={},
month={September},}
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TY - JOUR
TI - Petri Nets with Simple Circuits
T2 - IEICE TRANSACTIONS on Information
SP - 2113
EP - 2125
AU - Hsu-Chun YEN
AU - Lien-Po YU
PY - 2005
DO - 10.1093/ietisy/e88-d.9.2113
JO - IEICE TRANSACTIONS on Information
SN -
VL - E88-D
IS - 9
JA - IEICE TRANSACTIONS on Information
Y1 - September 2005
AB - We study the complexity of the reachability problem for a new subclass of Petri nets called simple-circuit Petri nets, which properly contains several well known subclasses such as conflict-free, BPP, normal Petri nets and more. A new decomposition approach is applied to developing an integer linear programming formulation for characterizing the reachability sets of such Petri nets. Consequently, the reachability problem is shown to be NP-complete. The model checking problem for some temporal logics is also investigated for simple-circuit Petri nets.
ER -