Algebra and Logic for Resource-based Systems Modelling

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42 Citations (Scopus)


Mathematical modelling is one of the fundamental tools of science and engineering. Very often, models are required to be executable, as a simulation, on a computer. In this paper, we present some contributions to the process-theoretic and logical foundations of discrete-event modelling with resources and processes. We present a process calculus with an explicit representation of resources in which processes and resources co-evolve. The calculus is closely connected to a logic that may be used as a specification language for properties of models. The logic is strong enough to allow requirements that a system have certain structure; for example, that it is a parallel composite of subsystems. This work consolidates, extends, and improves upon aspects of the earlier works. An extended example, consisting of a semantics for a simple parallel programming language, indicates a connection with separating logics for concurrency.
Original languageEnglish
Pages (from-to)959-1027
Number of pages69
JournalMathematical Structures in Computer Science
Issue number5
Early online date4 Sept 2009
Publication statusPublished - Oct 2009


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