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Five Classes of Invariant-Preserving Transformations on Colored Petri Nets

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Application and Theory of Petri Nets 1999 (ICATPN 1999)

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Abstract

Transformations on a system specification are often used as a means for simplifying the process of verification. When applying a transformation, it is an important issue whether some specific properties of the system will be preserved or not. For systems specified in colored Petri nets, this paper provides the criteria for determining the preservation of place-invariants and transitioninvariants under five classes of very general transformations, namely, Insertion, Elimination, Replacement, Composition, and Decomposition. Applications to flexible manufacturing engineering systems and telecommunications systems are discussed.

This research was supported by City University of Hong Kong, Research Grants Council of Hong Kong, National Natural Science Foundation of China and Guangdong Natural Science Foundation.

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Cheung, TY., Lu, Y. (1999). Five Classes of Invariant-Preserving Transformations on Colored Petri Nets. In: Donatelli, S., Kleijn, J. (eds) Application and Theory of Petri Nets 1999. ICATPN 1999. Lecture Notes in Computer Science, vol 1639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48745-X_23

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  • DOI: https://doi.org/10.1007/3-540-48745-X_23

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