# Refinement in Z and Object-Z

@inproceedings{JohnDerrickBSc2001RefinementIZ, title={Refinement in Z and Object-Z}, author={DPhil John Derrick BSc and PhD Eerke Boiten Ir}, booktitle={Formal Approaches to Computing and Information Technology}, year={2001} }

operation terminates possibly after any internal evolution then the concrete operation terminates after some internal evolution. Finally, in correctness every possible state after the concrete operation must be related by R' to a possible state after the abstract operation, except that now 'after' means an arbitrary number of internal operations may occur before and after the abstract operation. Although we do not have to check conditions for internal operations, the requirements on the…

## 93 Citations

### Abstract Specification in Object-Z and CSP

- Computer ScienceICFEM
- 2002

It is shown that by adopting a blocking model of preconditions together with an angelic model of outputs one can specify systems at higher levels of abstraction.

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- 2002

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- 2007

It is shown how abstract specifications can be systematically constructed and how a standard model checker can be applied to find counter examples in case when refinement is absent, and the applicability of the construction method is discussed.

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- Computer Science
- 2007

The picture is generalised to encompass not-so-isolate atomic actions, exemplified by another motivating example, the lock-free stack, in which arbitrary numbers of agents may collaborate and/or interfere as the protocol runs.

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- Computer Science, PsychologyMPC
- 2010

In this paper we focus on the relationship between a number of specification models. The models are formulated in the Unifying Theories of Programming of Hoare and He, but correspond to widely used…

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- Computer ScienceFormal Aspects of Computing
- 2012

The program of deriving simulation conditions for process algebraic refinement by defining further embeddings into the authors' relational model: traces, completed traces, failure traces and extension is continued and extended to include various notions of automata based refinement.

### Atomic actions, and their refinements to isolated protocols

- Computer ScienceFormal Aspects of Computing
- 2009

This theory relates this theory to serialisations of system runs containing multiple interleaved transactions, showing how the clean picture of the refinement of an isolated atomic action to an isolated protocol becomes obscured by the details of the interleaving.

### Relational Concurrent Refinement: Timed Refinement

- Computer ScienceFMOODS/FORTE
- 2011

The program of deriving simulation conditions for process algebraic refinement is continued by considering how notions of time should be embedded into a relational model, and thereby deriving relational notions of timed refinement.

### A comparison of refinement orderings and their associated simulation rules

- Computer ScienceRefine
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