Comparison of the Expressiveness of Timed Automata and Time Petri Nets. Bérard, B., Cassez, F., Haddad, S., Lime, D., & Roux, O. H. In Pettersson, P. & Yi, W., editors, Formal Modeling and Analysis of Timed Systems, Third International Conference, FORMATS 2005, Uppsala, Sweden, September 26-28, 2005, Proceedings, volume 3829, of Lecture Notes in Computer Science, pages 211–225, 2005. Springer.
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Link doi abstract bibtex In this paper we consider the model of Time Petri Nets (TPN) where time is associated with transitions. We also consider Timed Automata (TA) as defined by Alur & Dill, and compare the expressiveness of the two models w.r.t. timed language acceptance and (weak) timed bisimilarity. We first prove that there exists a TA A s.t. there is no TPN (even unbounded) that is (weakly) timed bisimilar to A. We then propose a structural translation from TA to (1-safe) TPNs preserving timed language acceptance. Further on, we prove that the previous (slightly extended) translation also preserves weak timed bisimilarity for a syntactical subclass of TA. For the theory of TPNs, the consequences are: 1) TA, bounded TPNs and 1-safe TPNs are equally expressive w.r.t. timed language acceptance; 2) TA are strictly more expressive than bounded TPNs w.r.t. timed bisimilarity; 3) The subclass bounded and 1-safe TPNs “`a la Merlin” are equally expressive w.r.t. timed bisimilarity.
@inproceedings{DBLP:conf/formats/BerardCHLR05,
author = {B{\'{e}}atrice B{\'{e}}rard and
Franck Cassez and
Serge Haddad and
Didier Lime and
Olivier H. Roux},
title = {Comparison of the Expressiveness of Timed Automata and Time Petri
Nets},
booktitle = {Formal Modeling and Analysis of Timed Systems, Third International
Conference, {FORMATS} 2005, Uppsala, Sweden, September 26-28, 2005,
Proceedings},
pages = {211--225},
editor = {Paul Pettersson and
Wang Yi},
Type = {B - International Conferences},
series = {Lecture Notes in Computer Science},
volume = {3829},
publisher = {Springer},
year = {2005},
urlpaper = {papers/petri-nets-formats05.pdf},
urlslides = {papers/slides-formats-05.pdf},
url_link = {http://dx.doi.org/10.1007/11603009_17},
doi = {10.1007/11603009_17},
abstract = { In this paper we consider the model of Time Petri Nets (TPN) where time is associated with transitions. We also consider Timed Automata (TA) as defined by Alur \& Dill, and compare the expressiveness of the two models w.r.t. timed language acceptance and (weak) timed bisimilarity. We first prove that there exists a TA A s.t. there is no TPN (even unbounded) that is (weakly) timed bisimilar to A. We then propose a structural translation from TA to (1-safe) TPNs preserving timed language acceptance. Further on, we prove that the previous (slightly extended) translation also preserves weak timed bisimilarity for a syntactical subclass of TA. For the theory of TPNs, the consequences are: 1) TA, bounded TPNs and 1-safe TPNs are equally expressive w.r.t. timed language acceptance; 2) TA are strictly more expressive than bounded TPNs w.r.t. timed bisimilarity; 3) The subclass bounded and 1-safe TPNs “`a la Merlin” are equally expressive w.r.t. timed bisimilarity.},
keywords = {Petri nets, timed automata, expressiveness},
}
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Roux},\n title = {Comparison of the Expressiveness of Timed Automata and Time Petri\n Nets},\n booktitle = {Formal Modeling and Analysis of Timed Systems, Third International\n Conference, {FORMATS} 2005, Uppsala, Sweden, September 26-28, 2005,\n Proceedings},\n pages = {211--225},\n editor = {Paul Pettersson and\n Wang Yi},\n Type = {B - International Conferences},\n\n series = {Lecture Notes in Computer Science},\n volume = {3829},\n publisher = {Springer},\n year = {2005},\n urlpaper = {papers/petri-nets-formats05.pdf},\n urlslides = {papers/slides-formats-05.pdf},\n url_link = {http://dx.doi.org/10.1007/11603009_17},\n doi = {10.1007/11603009_17},\n abstract = { In this paper we consider the model of Time Petri Nets (TPN) where time is associated with transitions. We also consider Timed Automata (TA) as defined by Alur \\& Dill, and compare the expressiveness of the two models w.r.t. timed language acceptance and (weak) timed bisimilarity. 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