Abstract
In this paper the unfolding technique is applied to coloured Petri nets (CPN) [6][7]. The technique is formally described, the definition of a branching process of CPN is given. The existence of the maximal branching process and the important properties of CPN’s unfoldings are proven. A new approach consisting in combining unfolding technique with symmetry and equivalence speci.cations [7] is presented and the important properties of obtained unfoldings are proven. We require CPN to be finite, n-safe and containing only finite sets of colours.
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References
B. Bieber, H. Fleischhack Model Checking of Time Petri Nets Based on Partial Order Semantics. Proc. CONCUR’99.— Berlin a.o.: Springer-Verlag, 210–225 (1999).
J.-M. Couvreur, S. Grivet, D. Poitrenaud: Designing an LTL Model-Checker Based on Unfolding Graphs. Lecture Notes in Computer Science, Vol.1825, 123–145 (2000).
J. Esparza: Model-Checking Using Net Unfoldings. Lecture Notes in Computer Science Vol.668, 613–628 (1993).
J. Esparza J, K. Heljanko: A New Unfolding Approach to LTL Model-Checking. Lecture Notes in Computer Science Vol.1853, 475–486 (2000).
J. Esparza, S. Romer, W. Vogler: An Improvement of McMillan’s Unfolding Algorithm Proc. TACAS’96.— Berlin a.o.: Springer-Verlag, pp. 87–106 (1997).
K. Jensen: Coloured Petri Nets. Vol. 1. Berlin a.o.: Springer, (1995).
K. Jensen: Coloured Petri Nets. Vol. 2. Berlin a.o.: Springer, (1995).
A. Kondratyev, M. Kishinevsky, A. Taubin, S. Ten: A Structural Approach for the Analysis of Petri Nets by Reduced Unfoldings. 17th Intern. Conf. on Application and Theory of Petri Nets, Osaka, June 1996. Berlin a.o.: Springer-Verlag, 346–365 (1996).
V.E. Kozura: Unfoldings of Coloured Petri Nets. Tech. Rep. N 80, Novosibirsk 34 pages (2000).
V.E. Kozura: Unfoldings of Timed Coloured Petri Nets. Tech. Rep. N 82, Novosibirsk 33 pages (2001).
S. Melzer, S. Romer: Deadlock Checking Using Net Unfoldings. Proc. of the Conf. on Computer Aided Verification (CAV’97), Haifa, pp. 352–363 (1997).
K.L. McMillan: Using Unfolding to Avoid the State Explosion Problem in the Verification of Asynchronous Circuits. Lecture Notes in Computer Science Vol.663, 164–174 (1992).
A. Valmari: Stubborn Sets of Coloured Petri Nets. Proc. of the 12th Intern. Conf. On Application and Theory of Petri Nets.— Gjern, 102–121 (1991).
A. Valmari: The State Explosion Problem. Lecture Notes in Computer Science Vol.1491, 429–528 (1998).
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Kozura, V.E. (2001). Unfoldings of Coloured Petri Nets. In: Bjørner, D., Broy, M., Zamulin, A.V. (eds) Perspectives of System Informatics. PSI 2001. Lecture Notes in Computer Science, vol 2244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45575-2_27
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DOI: https://doi.org/10.1007/3-540-45575-2_27
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