Pre-nets have been recently proposed as a means of providing a functorial algebraic semantics to Petri nets (possibly with read arcs), overcoming some previously unsolved subtleties of the classical model. Here we develop a functorial semantics for pre-nets following a sibling classical approach based on an unfolding construction. Any pre-net is mapped to an acyclic branching net, representing its behaviour, then to a prime event structure and finally to a finitary prime algebraic domain. Then the algebraic and unfolding view are reconciled: we exploit the algebraic semantics to define a functor from the category of prenets to the category of domains that is shown to be naturally isomorphic to the unfolding-based functor. All the results are extended to pre-nets with read arcs. © Springer-Verlag Berlin Heidelberg 2003.
CITATION STYLE
Baldan, P., Bruni, R., & Montanari, U. (2003). Pre-nets, read arcs and unfolding: A functorial presentation. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2755, 145–164. https://doi.org/10.1007/978-3-540-40020-2_8
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