Calculating upward and downward simulations of state-based specifications

Derrick, John and Boiten, Eerke Albert (1999) Calculating upward and downward simulations of state-based specifications. Information and Software Technology, 41 (13). pp. 917-923. ISSN 0950-5849. (doi: ) (Full text available)

Download (284kB) Preview
Download (176kB)
Official URL


This paper concerns calculational methods of refinement in state-based specification languages. 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 are encapsulated into two simulation rules: downward and upward simulations. One approach for refining an abstract system is to specify the concrete data type, and then attempt to verify that it is a valid refinement of the abstract type. An alternative approach is to calculate the concrete specification based upon the abstract specification and a retrieve relation, which links the abstract and concrete states. In this paper we generalise existing calculational methods for downward simulations and derive similar results for upward simulations; we also document their use and application in a particular specification language, namely Z.

Item Type: Article
Uncontrolled keywords: refinement; state-based systems; Z; calculating refinements
Subjects: Q Science
Divisions: Faculties > Sciences > School of Computing
Depositing User: E.A. Boiten
Date Deposited: 14 Jun 2009 19:25 UTC
Last Modified: 20 Oct 2015 14:03 UTC
Resource URI: (The current URI for this page, for reference purposes)
Boiten, Eerke Albert:
  • Depositors only (login required):


Downloads per month over past year