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Algebraic Higher-Order Nets: Graphs and Petri Nets as Tokens.

Hoffmann, Kathrin; Mossakowski, Till

In: Recent Trends in Algebraic Development Techniques, 16th International Workshop, WADT 2002, Frauenchiemsee, Germany, September 24-27, 2002, pages 253-267. Volume 2755 of Lecture Notes in Computer Science --- Springer-Verlag, November 2003.

Abstract: Petri nets and Algebraic High-Level Nets are well-known to model parallel and concurrent systems. In this paper, we introduce the concept of Algebraic Higher-Order Nets, which allow to have dynamical tokens like graphs or (ordinary low-level) Petri nets. For this purpose, we specify graphs and Petri nets in the higher-order algebraic specification language HasCasl such that graphs and Petri nets become first-class citizens, i.e. members of algebras (rather than algebras themselves). As an example, we model hospital therapeutic processes by a single higher-order net. Individual care plans for each patient are tokens modeled by low-level nets.

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