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A Logical and Computational Theory of Located Resource

Collinson, Matthew; Monahan, Brian; Pym, David
HP Laboratories


Keyword(s): Bunched logic, process algebra, resource semantics, location, systems modelling

Abstract: Experience of practical systems modelling suggests that the key conceptual components of a model of a system are processes, resources, locations, and environment. In recent work, we have given a process- theoretic account of this view in which resources as well as processes are first-class citizens. This process calculus, SCRP, captures the structural aspects of the semantics of the Demos2k modelling tool. Demos2k represents environment stochastically using a wide range of probability distributions and queue-like data structures. Associated with SCRP is a (bunched) modal logic, MBI, which combines the usual additive connectives of Hennessy-Milner logic with their multiplicative counterparts. In this paper, we complete our conceptual framework by adding to SCRP and MBI an account of a notion of location that is simple, yet sufficiently expressive to capture naturally a wide range of forms of location, both spatial and logical. We also provide a description of an extension of the Demos2k tool to incorporate this notion of location.

31 Pages

Additional Publication Information: Submitted to Journal of Logic and Computation

External Posting Date: December 6, 2008 [Fulltext]. Approved for External Publication
Internal Posting Date: December 6, 2008 [Fulltext]

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