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A new notion of a general morphism of Petri nets is introduced. The new morphisms are shown to properly include the morphisms considered so far. The resulting category of general Petri nets is shown to admit products. Here, it is shown that the new notion turns out to be indispensable to facilitate functoriality of synthesis of transition systems by means of (labelled) state machines. In the companion...
The paper studies the properties of orthomodular posets. The interest comes from the fact, that the set of all regions of a 2-structure (a transi-tion system) is a coherent orthomodular poset. This algebraic structure is gaining the importance in the area of distributed systems. In fact, there is a conjucture about the duality between the category of orthomodular posets and the category of 2-structures...
The paper is concerned with algebras whose elements can be used to represent runs of a system from a state to a state. These algebras, called multiplicative transition systems, are categories with respect to a partial binary operation called composition. They can be characterized by axioms such that their elements and operations can be represented by partially ordered multisets of a certain type and...
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