Affiliations: ONERA, Toulouse Research Center, 2, av. Edouard Belin,
BP 4025, 31055 Toulouse Cedex 4, France. marc.boyer@onera.fr | IRCCyN, 1 rue de la Noë, 44321 Nantes
Cedex 3, France. olivier-h.roux@irccyn.ec-nantes.fr
Note: [] Addres for correspondence: ONERA, Toulouse Research Center, 2,
av. Edouard Belin, BP 4025, 31055 Toulouse Cedex 4, France
Abstract: In this paper, we consider safe Time Petri Nets where time intervals
(strict and large) are associated with places (P-TPN), arcs (A-TPN) or
transitions (T-TPN). We give the formal strong and weak semantics of these
models in terms of Timed Transition Systems. We compare the expressiveness of
the six models w.r.t. (weak) timed bisimilarity (behavioral semantics). The
main results of the paper are : (i) with strong semantics, A-TPN is strictly
more expressive than P-TPN and T-TPN ; (ii) with strong semantics P-TPN and
T-TPN are incomparable ; (iii) T-TPN with strong semantics and T-TPN with weak
semantics are incomparable. Moreover, we give a complete classification by a
set of 9 relations explained in Fig. 19 (p. 247).
