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Abstract domain for floating-point programs

Authors: Jurjo Rivas, Daniel;

Abstract domain for floating-point programs

Abstract

Floating point numbers are widely used nowadays in programs but the verification of programs using this type of arithmetic is not trivial at all. This is due to the nature of floating-point arithmetic and the loss of precision when trying to represent real numbers in a computer. On the other hand, abstract interpretation has demonstrated to be effective in capturing different code behaviors and a number of different approaches have been proposed for analyzing floating point, numerical programs. Among these approaches, we decided to implement within the Ciao abstract interpretation framework and study a non-relational interval analysis capturing the behavior of constraints of type x = y · z. We extended this analysis to different representations of real numbers with the hope of providing a tool for the developer in order to choose the most suitable type when coding. The objective is to be able to minimize the consumption of memory while controlling the loss of precision, which unfortunately is unavoidable in this computations. With this domain we have been able to run some experiments with industrial code obtaining some encouraging results. We also propose a number of research lines stemming from several possible extensions this work.

Country
Spain
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Keywords

Informática, Numerical Analysis., Constraint Logic Programming, Aritmética en Coma Flotante, Programación Lógica, Informática (Informática), Abstract Interpretation, Análisis numérico., 1203.17 Informática, 004(043.3), Interpretación Abstracta, Floating Point Arithmetic

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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Green