Object Orientation in Z (Workshops in Computing) by Susan Stepney

By Susan Stepney

This selection of papers attracts jointly numerous methods for including ob­ ject orientation to the Z formal specification language. those papers aren't a convention complaints, yet have a touch extra advanced his tory. This paintings has grown and developed from a few paintings initially performed within the ZIP venture, lower than the United Kingdom's division of alternate and (DTI) IED initiative. ZIP is a 3 yr venture which goals to make using the Z specification language extra frequent. It hopes to accomplish this through generating a regular for Zj constructing a style for Zj development instrument aid for Zj and engaging in study into refinement, facts and concurrency in Z. The ZIP equipment paintings contains acting a survey of present Z practitioners (reported in [Barden et al. 1992])j investigating present types and techniques of Z usagej and constructing a Z strategy guide (available early in 1993). As a part of this paintings, we performed a comparative research of the ways that item orientation has been mixed with Z. A precis of that paintings has been released as [Stepney et al. 1992].

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A dass whose definition indudes given sets is called a generic dass. A reference to such a dass can instantiate (some of) them. superclasses MooZ allows single and multiple inheritance. The identification of the superdasses is the aim of the superclasses dause, which introduces a list of dass references. The definitions in the scope of a dass are also in the scope of its subdasses. Name dashes among superdasses must be solved through renaming. 3. 6). However, this can be controlled by the private and public dauses.

3 to the Buttons Example. 2 Classes Class Definition Syntactically, a dass definition is a named box, optionally with generic parameters. In this box the constituents of the dass are defined and related. Possible constituents are: a visibility list, inherited dasses, type and constant definitions, a state schema, an initial state schema, operation schemas, and a history invariant. ClassName[generic parameters J _ _ _ _ _ _ _ _ _ _ _ _ _ __ visibility list inherited classes type definitions constant definitions state schema initial state schema operation schemas history invariant The visibility list, if induded, restricts access to the listed features (feature is defined below) of objects of the dass.

4 35 Conclusions The approach to specification of objects described in this chapter is particularly aimed at dealing with the issue of refinement. The aim is to provide a strong degree of separation between objects using the not ion of exports, so that reasoning about the used objects can be done without referring to internal details of their behaviour. This is achieved by' the approach, although at the expense of additional proof obligations between the export and body specifications. The additional proof obligations are however smaller, and hence the overall burden of proof remains smaller.

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