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Titlebook: Refinement in Z and Object-Z; Foundations and Adva John Derrick,Eerke A. Boiten Book 2014Latest edition Springer-Verlag London 2014 Formal

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Refinement in Object-Zequences of the different interpretation of preconditions. We also consider how weak refinement and non-atomic refinement may be applied to Object-Z. Finally, we discuss the relation between refinement, and two other important concepts in object orientation: subtyping and inheritance.
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https://doi.org/10.1007/978-1-4471-5355-9Formal Methods; Interfaces; Non-atomic Refinement; Object Orientation; Object-Z; Refinement in Object-Z; S
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Data Refinement and Simulationse we look at how operations in a specification are modelled as partial relations. The application of the simulation rules to specifications with partial operations leads to the simulation rules as they are normally presented.
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Refinement in Zrate the issues involved with this derivation, we first derive rules for Z ADTs without inputs and outputs, and then show the more complicated derivation in the presence of inputs and outputs. Finally, this chapter presents a collection of examples of data refinement in Z.
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An Introduction to Znder consideration. In this chapter we present the notations for logic, sets and relations, the schema notation and the schema calculus, leading to the definition of an abstract data type in the “states-and-operations” style, and the first example refinement.
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