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Retrenchment and refinement interworking: the tower theorems

Published online by Cambridge University Press:  02 December 2014

RICHARD BANACH  and
CZESŁAW JESKE
RICHARD BANACH
Affiliation:
School of Computer Science, University of Manchester, Oxford Road, Manchester, M13 9PL, U.K. Email: banach@cs.man.ac.uk; jeske@xsys.org.uk
CZESŁAW JESKE
Affiliation:
School of Computer Science, University of Manchester, Oxford Road, Manchester, M13 9PL, U.K. Email: banach@cs.man.ac.uk; jeske@xsys.org.uk
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Abstract

Retrenchment is a flexible model evolution formalism that compensates for the limitations imposed by specific formulations of refinement. Its refinement-like proof obligations feature additional predicates for accommodating design data describing the model change. The best results are obtained when refinement and retrenchment cooperate, the paradigmatic scheme for this being the commuting square or tower, in which ‘horizontal retrenchment rungs’ commute with ‘vertical refinement columns’ to navigate through a much more extensive design space than permitted by refinement alone. In practice, the navigation is accomplished through ‘square completion’ constructions, and we present and prove a full suite of square completion theorems.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 25 , Issue 1 , January 2015 , pp. 135 - 202
Copyright
Copyright © Cambridge University Press 2014 

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