Linear temporal logic and Z refinement

Derrick, John and Smith, Graeme (2004) Linear temporal logic and Z refinement. In: Rattray, Charles and Maharaj, Savitri and Shankland, Carron, eds. Linear temporal logic and Z refinement. Lecture Notes in Computer Science, 3116. Springer pp. 117-131. ISBN 3-540-22381-9 . (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Since Z, being a state-based language, describes a system in terms of its state and potential state changes, it is natural to want to describe properties of a specified system also in terms of its state. One means of doing this is to use Linear Temporal Logic (LTL) in which properties about the state of a system over time can be captured. This, however, raises the question of whether these properties are preserved under refinement. Refinement is observation preserving and the state of a specified system is regarded as internal and, hence, non-observable. In this paper, we investigate this issue by addressing the following questions. Given that a Z specification A is refined by a Z specification C, and that P is a temporal logic property which holds for A, what temporal logic property Q can we deduce holds for C? Furthermore, under what circumstances does the property Q preserve the intended meaning of the property P? The paper answers these questions for LTL, but the approach could also be applied to other temporal logics over states such as CTL and the mu-calculus.

Item Type: Conference or workshop item (Paper)
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Faculties > Science Technology and Medical Studies > School of Computing > Theoretical Computing Group
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 18:02
Last Modified: 16 Jun 2014 11:36
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