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2008

On the Compared Expressiveness of Arc, Place and Transition Time Petri Nets

9 years 3 months ago
On the Compared Expressiveness of Arc, Place and Transition Time Petri Nets
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. 23).
Marc Boyer, Olivier H. Roux
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where FUIN
Authors Marc Boyer, Olivier H. Roux
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