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Lipeck, U. Ein algebraischer Kalkul fur einer strukturierten Entwurf von Datenabstraktionen. Ph.D. thesis, Abteilung Informatik, Universitat Dortmund (1983).

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Toward formal development of ML programs: foundations and.. - Sannella, Tarlecki (1989)   (28 citations)  (Correct)

....requires a precise definition of the notion of refinement and when a refinement step is considered to be correct. In the following paragraph we summarize the work on this topic presented in [ST 88b] other relevant papers include [GB 80] Ehr 82] EKMP 82] GM 82] Wand 82] Gan 83] Lip 83] Ore 83] and many others. Intuitively, refining a specification corresponds to making design decisions, thus restricting the class of acceptable models. The simplest notion of refinement of one specification SP1 to another 1 SP2 would only require inclusion of model classes, i.e. Mod[SP 2] ....

Lipeck, U. Ein algebraischer Kalkul fur einer strukturierten Entwurf von Datenabstraktionen. Ph.D. thesis, Abteilung Informatik, Universitat Dortmund (1983).


Toward Formal Development of Programs from Algebraic.. - Sannella, Tarlecki (1988)   (132 citations)  (Correct)

.... [GB 84a,86] to write specifications (as in CLEAR, ASL [ST 86a] or Extended ML [ST 86b] There has been a lot of interesting work done on notions of refinement as well (see e.g. GTW 76] GB 80] Ehr 81] Ehr 82] EKMP 82] EK 82] SW 82] GM 82] Sch 86] BMPW 82] Gan 83] Lip 83] BBC 86] Wand 82] In [SW 83] and then in [ST 85b,87a] we suggested and used a very simple notion of specification refinement which seems appropriate for loose specifications. Namely, we 1 An extended abstract of this paper appeared in [ST 87b] 2 Department of Artificial Intelligence, ....

....SP is implemented by a specification SP 0 via a construction , written SP SP 0 , if SP (SP 0 ) That is, SP refines not to SP 0 directly, but to a specification consisting of the construction on top of SP 0 . This is close to the notions of implementation in [Ehr 81] and [Lip 83] and subsumes most previous notions of implementation in the literature, e.g. GTW 76] Ehr 82] EKMP 82] and [SW 82] since some of these, including that of [Ehr 81] were defined as implementations of one single algebra by another, and some others, like [BBC 86] were formulated in a more ....

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Lipeck, U. Ein algebraischer Kalkul fur einer strukturierten Entwurf von Datenabstraktionen. Ph.D. thesis, Abteilung Informatik, Universitat Dortmund (1983).

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