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The paper is concerned with processes of Petri nets. A partial operation on such processes is defined that allows one to concatenate processes whenever one process is a continuation of another. It is shown that the sets of processes of Petri nets form together with this operation categories in which independence of processes can be characterized in a natural, purely algebraic way.
The paper is concerned with modelling object-oriented distributed computational systems. Systems are modeled by specifying their states and processes. Processes of a system are defined as activities in a universe of objects, each object with a set of possible states, each activity changing states of some objects and establishing or destroying relations among objects. Partial operations on processes...
The paper contributes with a concept of process viewed as a model of a run of a phenomenon (discrete, continuous, or of a mixed type), with operations allowing to define complex processes in terms of their components, and with the idea of using the formal tools thus obtained to define the behaviours of concurrent systems. A process may have an initial state (a source), a final state (a target), or...
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...
The paper contributes with a concept of process viewed as a model of a run of a system (discrete, continuous, or of a mixed type), with operations allowing to define complex processes in terms of their components, and with the idea of using the formal tools thus obtained to define the behavionrs of concurrent systems.A process may have an initial state (a source), a final state (a target), or both...
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