Integration of the proof process in the system development through refinement steps
Identifieur interne : 008660 ( Main/Exploration ); précédent : 008659; suivant : 008661Integration of the proof process in the system development through refinement steps
Auteurs : Dominique Cansell [France] ; Dominique Méry [France]Source :
English descriptors
- KwdEn :
Abstract
In this paper, we present the incremental methodology to develop a multiplier and an adder. We start from an abstraction which gives the result in one shot and we introduce the algorithm using division by 2 and an accumulator to store a temporary result. For the adder we give another refinement to introduce the carry. Next we introduce two codings : an abstract one (sequence of bits) and a concrete one (bounded sequence of bits). We discover an overflow in the last refinement.
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Centre national de la recherche scientifique, Institut national de recherche en informatique et en automatique, Laboratoire lorrain de recherche en informatique et ses applications, Mosel (Loria), Université de Lorraine
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Le document en format XML
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<front><div type="abstract" xml:lang="en" wicri:score="1166">In this paper, we present the incremental methodology to develop a multiplier and an adder. We start from an abstraction which gives the result in one shot and we introduce the algorithm using division by 2 and an accumulator to store a temporary result. For the adder we give another refinement to introduce the carry. Next we introduce two codings : an abstract one (sequence of bits) and a concrete one (bounded sequence of bits). We discover an overflow in the last refinement.</div>
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