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Algebra and logic for resource-based systems modelling

Published online by Cambridge University Press:  04 September 2009

MATTHEW COLLINSON  and
DAVID PYM
MATTHEW COLLINSON
Affiliation:
Hewlett-Packard Laboratories, Bristol, BS34 8QZ, United Kingdom
DAVID PYM
Affiliation:
Hewlett-Packard Laboratories, Bristol, BS34 8QZ, United Kingdom University of Bath, Bath, BA2 7AY, United Kingdom
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Abstract

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 has a certain structure: for example, that it is a parallel composite of subsystems. This work consolidates, extends and improves upon aspects of earlier work of ours in this area. An extended example, consisting of a semantics for a simple parallel programming language, indicates a connection with separating logics for concurrency.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 19 , Issue 5 , October 2009 , pp. 959 - 1027
Copyright
Copyright © Cambridge University Press 2009

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