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Combining lists with non-stably infinite theories

Identifieur interne : 000510 ( PascalFrancis/Checkpoint ); précédent : 000509; suivant : 000511

Combining lists with non-stably infinite theories

Auteurs : Pascal Fontaine [France] ; Silvio Ranise [France] ; Calogero G. Zarba [France]

Source :

RBID : Pascal:05-0291230

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Abstract

In program verification one has often to reason about lists over elements of a given nature. Thus, it becomes important to be able to combine the theory of lists with a generic theory T modeling the elements. This combination can be achieved using the Nelson-Oppen method only if T is stably infinite. The goal of this paper is to relax the stable-infiniteness requirement More specifically, we provide a new method that is able to combine the theory of lists with any theory T of the elements, regardless of whether T is stably infinite or not. The crux of our combination method is to guess an arrangement over a set of variables that is larger than the one considered by Nelson and Oppen. Furthermore, our results entail that. it is also possible to combine T with the more general theory of lists with a length function.


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Pascal:05-0291230

Le document en format XML

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