Abstract
Commutative nets are a subclass of colored nets whose color functions belong to a ring of commutative diagonalizable endomorphisms. Although their ability to describe models is smaller than that of colored nets, they can handle a broad range of concurrent systems. Commutative nets include net subclasses such as regular homogeneous nets and ordered nets, whose practical importance has already been shown.
Mathematical properties of the color functions of commutative nets allow a symbolic computation of a family of generators of flows. The method proposed decreases the number of non-null elements in a given color function matrix, without adding new columns. By iteration, the entire matrix is annulled and a generative family of flows is obtained. The interpretation of the invariants associated with each flow is straightforward.
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© 1991 Springer-Verlag Berlin Heidelberg
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Couvreur, J.M., Martínez, J. (1991). Linear Invariants in Commutative High Level Nets. In: Jensen, K., Rozenberg, G. (eds) High-level Petri Nets. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84524-6_9
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DOI: https://doi.org/10.1007/978-3-642-84524-6_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54125-7
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