On the compared expressiveness of arc, place and transition time Petri nets

Marc Boyer (1) , Olivier Henri Roux (2)

1 IRIT-RMESS - Réseaux, Mobiles, Embarqués, Sans fil, Satellites
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

In this paper, we consider safe Time Petri Nets where time intervals (strict and large) are associated with places (TPPN), arcs (TAPN) or transitions (TTPN). 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, TAPN is strictly more expressive than TPPN and TTPN ; (ii) with strong semantics TPPN and TTPN are incomparable ; (iii) TTPN with strong semantics and TTPN with weak semantics are incomparable. Moreover, we give a complete classification by a set of 9 relations explained in a figure.

Domaines: Autre [cs.OH]

Marc Boyer, Olivier Henri Roux. On the compared expressiveness of arc, place and transition time Petri nets. Fundamenta Informaticae, 2008, 88 (3), pp.225-249. ⟨hal-00489072⟩