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Given a finite state system with partial observers and for each observer, a regular set of trajectories which we call a secret, we consider the question whether the observers can ever find out that a trajectory of the system belongs to some secret. We search for a regular control on the system, enforcing the specified secrets on the observers, even though they have full knowledge of this control....
Given a finite state system with partial observers and for each observer, a regular set of trajectories which we call a secret, we consider the question whether the observers can ever find out that a trajectory of the system belongs to some secret. We search for a regular control on the system, enforcing the specified secrets on the observers, even though they have full knowledge of this control....
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...
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...
Omawiany jest problem znajdowania (funktorialnej) współbieżnej realizacji systemu reaktywnego jako etykietowanej bezpiecznej sieci Petriego. Najpierw opisana jest funktorialna konstrukcja prowadząca z kategorii konkretnych systemów asynchronicznych, wprowadzonych przez Morina, do kategorii etykietowanych bezpiecznych sieci Petriego. Następnie omówiony jest problem w pełnej ogólności. Na ogół nie istnieje...
The menagerie of epimorphisms in the category Cat of small categories is studied. The standard notion of a congruence on a category is generalized and used subsequently to introduce the notion of a kernel of a functor, quotient category and quotient functor. Theory of concurrent processes seems to be a natural place to look for applications of the notions and results presented here in the area of...
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