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Semantics, composition and net properties of algebraic high-level nets

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Advances in Petri Nets 1991 (ICATPN 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 524))

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Abstract

The aim of this paper is the study of semantics, compositionality and net properties (as quasi-liveness of transitions, boundedness of places, termination of nets, deadlocks, coverness) of algebraic high-level nets in a categorical framework. We show that the algebraic high-level nets can be composed in a elegant manner using colimits and especially pushouts. We define two kinds of semantics for algebraic high-level nets: the standard semantics and normed scheme semantics, prove that both semantics are compositional, and study in which way the above net properties can be analyzed.

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Grzegorz Rozenberg

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© 1991 Springer-Verlag Berlin Heidelberg

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Dimitrovici, C., Hummert, U., Petrucci, L. (1991). Semantics, composition and net properties of algebraic high-level nets. In: Rozenberg, G. (eds) Advances in Petri Nets 1991. ICATPN 1990. Lecture Notes in Computer Science, vol 524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0019971

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  • DOI: https://doi.org/10.1007/BFb0019971

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54398-5

  • Online ISBN: 978-3-540-47600-9

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