# A single complete refinement rule for Z

Derrick, John (2000) A single complete refinement rule for Z. Journal of Logic and Computation, 10 (5). pp. 663-675. ISSN 0955-792X. (doi:10.1093/logcom/10.5.663) (KAR id:16369)

## Abstract

Data refinement is a well established technique for transforming specifications of abstract data types into ones which are closer to an eventual implementation. The conditions under which a transformation is a correct refinement can be encapsulated into two simulation rules: downward and upward simulations. These simulations are known to be sound and jointly complete for boundedly-nondeterministic specifications. In this note we derive a single complete refinement method and show how it may be formulated in Z, this is achieved by using possibility mappings. The use of possibility mappings themselves is not new, our aim here is to reformulate them for use within the Z specification language.

Item Type: Article 10.1093/logcom/10.5.663 refinement; state-based systems; Z Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, Faculties > Sciences > School of Computing > Theoretical Computing Group P. Ogbuji 27 Mar 2009 20:48 UTC 28 May 2019 13:54 UTC https://kar.kent.ac.uk/id/eprint/16369 (The current URI for this page, for reference purposes)