Article

From Individuals to Populations: a mean field semantics for process algebra

Citation

McCaig C, Norman R & Shankland C (2011) From Individuals to Populations: a mean field semantics for process algebra. Theoretical Computer Science, 412 (17), pp. 1557-1580. http://www.sciencedirect.com/science/journal/03043975; https://doi.org/10.1016/j.tcs.2010.09.024

Abstract
A new semantics in terms of Mean Field Equations is presented for WSCCS (Weighted Synchronous Calculus of Communicating Systems). The semantics captures the average behaviour of the system over time, but without computing the entire state space, therefore avoiding the state space explosion problem. This allows easy investigation of models with large numbers of components. The new semantics is shown to be equivalent to the standard Discrete Time Markov Chain semantics of WSCCS as the number of processes tends to infinity. The method of deriving the semantics is illustrated with examples drawn from biology and from computing.

Keywords
Process Algebra; Mean Field Equations; Semantics; Parallel processing (Electronic computers); Population dynamics

Journal
Theoretical Computer Science: Volume 412, Issue 17

StatusPublished
Publication date30/04/2011
Date accepted by journal01/01/1990
URLhttp://hdl.handle.net/1893/2817
PublisherElsevier
Publisher URLhttp://www.sciencedirect.com/science/journal/03043975
ISSN0304-3975

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