Abstract
In [12] we started a research on a distributed-timed extension of Petri nets where time parameters are associated with tokens and arcs carry constraints that qualify the age of tokens required for enabling. This formalism enables to model e.g. hardware architectures like GALS. We give a formal definition of process semantics for our model and investigate several properties of local versus global timing: expressiveness, reachability and coverability.
Author partly supported by MUST project TOSCA.
Author partly supported by the GACR, grant No. 201/00/0400.
Basic Research in Computer Science, Centre of the Danish National Research Foundation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P.A. Abdulla and A. Nylén. Timed Petri nets and BQOs. In Proc. of ICATPN 2001, volume 2075 of LNCS, pages 53–70, 2001.
T. Bolognesi and P. Cremonese. The weakness of some timed models for concurrent systems. Technical Report CNUCE C89-29, CNUCE-C.N.R., 1989.
T. Bolognesi, F. Lucidi, and S. Trigila. From timed Petri nets to timed LOTOS. In Proc. of the IFIP WG 6.1 Tenth International Symposium on Protocol Spec., Testing and Verification, pages 1–14, Amsterdam, 1990.
Fred D.J. Bowden. Modelling time in Petri nets. In Proceedings of the Second Australia-Japan Workshop on Stochastic Models, 1996. http://www.itr.unisa.edu.au/~fbowden/pprs/stomod96/.
M. Bozga, C. Daws, O. Maler, A. Olivero, S. Tripakis, and S. Yovine. Kronos: A model-checking tool for real-time systems. In Proc. of CAV’98, volume 1427 of LNCS, pages 546–550, 1998.
U. Goltz and W. Reisig. The non-sequential behaviour of Petri nets. Information and Computation, 57:125–147, 1983.
H.M. Hanisch. Analysis of place/transition nets with timed-arcs and its application to batch process control. In Application and Theory of Petri Nets, volume 691 of LNCS, pages 282–299, 1993.
S. Hauck. Asynchronous design methodologies: An overview. In Proc. of IEEE, volume 83, pages 69–93, 1995.
K.G. Larsen, P. Pettersson, and W. Yi. Uppaal in a Nutshell. Int. Journal on Software Toolsfor Technology Transfer, 1(1–2):134–152, 1997.
E.W. Mayr. An algorithm for the general Petri net reachability problem (preliminary version). In Proc. of 13th Ann. ACM Symposium on Theory of Computing, pages 238–246. Assoc. for Computing Machinery, 1981.
T. Meincke, A. Hemani, S. Kumar, P. Ellervee, J. Berg, D. Lindqvist, H. Tenhunen, and A. Postula. Evaluating benefits of globally asynchronous locally synchronous VLSI architecture. In Proceedingsof 16th Norchip, pages 50–57, 1998.
M. Nielsen, V. Sassone, and J. Srba. Towards a notion of distributed time for Petri nets. In Proc. of ICATPN 2001, volume 2075 of LNCS, pages 23–31, 2001.
C. Ramchandani. Performance Evaluation of Asynchronous Concurrent Systems by Timed Petri Nets. Ph.D. Thesis, Massachusetts Inst. of Tech., Cambridge, 1973.
V. Valero Ruiz, D. de Frutos Escrig, and O. Marroquin Alosno. Decidability of properties of timed-arc Petri nets. In Proc. of ICATPN 2000, volume 1825 of LNCS, pages 187–206, 2000.
V. Valero Ruiz, F. Cuartero Gomez, and D. de Frutos Escrig. On non-decidability of reachability for timed-arc Petri nets. In Proc. of PNPM’99, pages 188–196, 1999.
J. Sifakis. Use of Petri nets for performance evaluation. In Proc. of the 3rd International Symposium IFIP W.G. 7.3., Measuring, modelling and evaluating computer systems, pages 75–93. Elsevier Science Publ., 1977.
J. Wang. Timed Petri Nets, Theory and Application. Kluwer Acad. Publ., 1998.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Nielsen, M., Sassone, V., Srba, J. (2001). Properties of Distributed Timed-Arc Petri Nets. In: Hariharan, R., Vinay, V., Mukund, M. (eds) FST TCS 2001: Foundations of Software Technology and Theoretical Computer Science. FSTTCS 2001. Lecture Notes in Computer Science, vol 2245. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45294-X_24
Download citation
DOI: https://doi.org/10.1007/3-540-45294-X_24
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43002-5
Online ISBN: 978-3-540-45294-2
eBook Packages: Springer Book Archive