An arithmetic theory of consistency enforcement

Link, Sebastian and Schewe, Klaus-Dieter: An arithmetic theory of consistency enforcement. In: Acta cybernetica, (15) 3. pp. 379-416. (2002)

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Consistency enforcement starts from a given program specification S and a static invariant I and aims to replace S by a slightly modified program specification SI that is provably consistent with respect to I. One formalization which suggests itself is to define SI as the greatest consistent specialization of S with respect to I, where specialization is a partial order on semantic equivalence classes of program specifications. In this paper we present such a theory on the basis of arithmetic logic. We show that with mild technical restrictions and mild restrictions concerning recursive program specifications it is possible to obtain the greatest consistent specialization gradually and independently from the order of given invariants as well as by replacing basic commands by their respective greatest consistent specialization. Furthermore, this approach allows to discuss computability and decidability aspects for the first time.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2002
Volume: 15
Number: 3
ISSN: 0324-721X
Page Range: pp. 379-416
Language: angol
Uncontrolled Keywords: Természettudomány
Additional Information: Bibliogr.: p. 415-416.; Abstract
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2018. Jun. 05. 15:04

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