InforLorV4, Main, Exploration, bibRecord, 000811

Better Answers to Real Questions

Identifieur interne : 000811 ( Main/Exploration ); précédent : 000810; suivant : 000812

Better Answers to Real Questions

Auteurs : Marek Kosta [France] ; Thomas Sturm [Allemagne] ; Andreas Dolzmann [Allemagne]

Source :

RBID : Hal:hal-01248053

Abstract

We consider existential problems over the reals. Extended quantifier elimination generalizes the concept of regular quantifier elimination by providing in addition answers, which are descriptions of possible assignments for the quantified variables. Implementations of extended quantifier elimination via virtual substitution have been successfully applied to various problems in science and engineering. So far, the answers produced by these implementations included infinitesimal and infinite numbers, which are hard to interpret in practice. We introduce here a post-processing procedure to convert, for fixed parameters, all answers into standard real numbers. The relevance of our procedure is demonstrated by application of our implementation to various examples from the literature, where it significantly improves the quality of the results.

Url:

https://hal.inria.fr/hal-01248053

Affiliations:

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to stream Hal, to step Checkpoint: 000728
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to stream Main, to step Curation: 000811

Le document en format XML

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<front><div type="abstract" xml:lang="en">We consider existential problems over the reals. Extended quantifier elimination generalizes the concept of regular quantifier elimination by providing in addition answers, which are descriptions of possible assignments for the quantified variables. Implementations of extended quantifier elimination via virtual substitution have been successfully applied to various problems in science and engineering. So far, the answers produced by these implementations included infinitesimal and infinite numbers, which are hard to interpret in practice. We introduce here a post-processing procedure to convert, for fixed parameters, all answers into standard real numbers. The relevance of our procedure is demonstrated by application of our implementation to various examples from the literature, where it significantly improves the quality of the results.</div>
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Better Answers to Real Questions

Better Answers to Real Questions

Source :

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri