Inference of termination conditions for numerical loops

dc.creatorSerebrenik, Alexander
dc.creatorDe Schreye, Danny
dc.date2001-06-26
dc.date.accessioned2026-07-07T03:17:17Z
dc.date.available2026-07-07T03:17:17Z
dc.descriptionWe present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the integers. We present a technique that allows to overcome these difficulties. Our approach is based on transforming a program in way that allows integrating and extending techniques originally developed for analysis of numerical computations in the framework of query-mapping pairs with the well-known framework of acceptability. Such an integration not only contributes to the understanding of termination behaviour of numerical computations, but also allows to perform a correct analysis of such computations automatically, thus, extending previous work on a constraints-based approach to termination. In the last section of the paper we discuss possible extensions of the technique, including incorporating general term orderings.
dc.descriptionPresented at WST2001
dc.identifierhttps://arxiv.org/abs/cs/0106053
dc.identifierhttp://arxiv.org/abs/cs/0106053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/30668
dc.subjectProgramming Languages
dc.subjectLogic in Computer Science
dc.subjectD.1.6; D.2.4
dc.titleInference of termination conditions for numerical loops
dc.typetext

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