## Provably faithful evaluation of polynomials (2006)

Venue: | In Proceedings of the 21st Annual ACM Symposium on Applied Computing |

Citations: | 3 - 1 self |

### BibTeX

@INPROCEEDINGS{Boldo06provablyfaithful,

author = {Sylvie Boldo and Université Paris-sud and César Muñoz},

title = {Provably faithful evaluation of polynomials},

booktitle = {In Proceedings of the 21st Annual ACM Symposium on Applied Computing},

year = {2006},

pages = {1328--1332}

}

### OpenURL

### Abstract

We provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. To this end, we develop a formalization of floatingpoint numbers and rounding modes in the Program Verification System (PVS). Our work is based on a well-known formalization of floating-point arithmetic in the proof assistant Coq, where polynomial evaluation has been already studied. However, thanks to the powerful proof automation provided by PVS, the sufficient conditions proposed in our work are more general than the original ones.