Construction of real algebraic numbers in Coq - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2012

Construction of real algebraic numbers in Coq

Résumé

This paper shows a construction in Coq of the set of real algebraic numbers, together with a formal proof that this set has a structure of discrete archimedian real closed field. This construction hence implements an interface of real closed field. Instances of such an interface immediately enjoy quantifier elimination thanks to a previous work. This work also intends to be a basis for the construction of complex algebraic numbers and to be a reference implementation for the certification of numerous algorithms relying on algebraic numbers in computer algebra.
Fichier principal
Vignette du fichier
main.pdf (444.37 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00671809 , version 1 (18-02-2012)
hal-00671809 , version 2 (13-06-2012)

Identifiants

  • HAL Id : hal-00671809 , version 2

Citer

Cyril Cohen. Construction of real algebraic numbers in Coq. ITP - 3rd International Conference on Interactive Theorem Proving - 2012, Aug 2012, Princeton, United States. ⟨hal-00671809v2⟩
797 Consultations
1525 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More