Selected papers of the Second Workshop on Concurrency and compositionality
A Category of Transition Systems and Its Relations with Orthomodular Posets
MFCS '97 Proceedings of the 22nd International Symposium on Mathematical Foundations of Computer Science
Lectures on Petri Nets I: Basic Models, Advances in Petri Nets, the volumes are based on the Advanced Course on Petri Nets
Proceedings of the 14th International Conference on Application and Theory of Petri Nets
Transition systems without transitions
Theoretical Computer Science
On Orthomodular Posets Generated by Transition Systems
Electronic Notes in Theoretical Computer Science (ENTCS)
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We propose orthomodular posets, algebraic models of quantum logic, as a formal tool in concurrency theory. We discuss their characteristics and study mutual relations with two other models of distributed systems: condition event net systems, a basic class of Petri nets, and the transition systems modelling CE net system behaviour. Central results are an adjointness situation among the three models and a strict relationship between fundamental notions in the different considered frameworks such as the relations of incompatibility and concurrency. Furthermore, substructures of orthomodular posets, like Boolean subalgebras or centres are interpreted, respectively, as state machine components of CE net systems or synchronization structures.