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Structuring Retrenchments in B by Decomposition

Poppleton, Michael R, and Banach, Richard N., (2003) Structuring Retrenchments in B by Decomposition Araki, Keijiro, Gnesi, Stefania and Mandrioli, Dino (eds.) At FME2003: International Symposium of Formal Methods Europe, Italy. , pp. 814-833.

Record type: Conference or Workshop Item (Paper)


Simple retrenchment is briefly reviewed in the B language of J.-R. Abrial [ref] as a liberalization of classical refinement, for the formal description of application developments too demanding for refinement. This work initiates the study of the structuring of retrenchment-based developments in B by decomposition. A given coarse-grained retrenchment relation between specifications is decomposed into a family of more fine-grained retrenchments. The resulting family may distinguish more incisively between refining, approximately refining, and non-refining behaviours. Two decomposition results are given, each sharpening a coarse-grained retrenchment within a particular syntactic structure for operations at concrete and abstract levels. A third result decomposes a retrenchment exploiting structure latent in both levels. The theory is illustrated by a simple example based on an abstract model of distributed computing, and methodological aspects are considered.

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Published date: 2003
Additional Information: Event Dates: September
Venue - Dates: FME2003: International Symposium of Formal Methods Europe, Italy, 2003-09-01
Keywords: formal methods, refinement, requirements, retrenchment, validation
Organisations: Electronic & Software Systems


Local EPrints ID: 258440
PURE UUID: d5c2573d-a762-42ea-92e6-fe3515d62f06

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Date deposited: 04 Nov 2003
Last modified: 18 Jul 2017 09:32

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Author: Michael R, Poppleton
Author: Richard N. Banach
Editor: Keijiro Araki
Editor: Stefania Gnesi
Editor: Dino Mandrioli

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