LIP6 2001/027

• Reports «Clôture réelle et infinitésimaux»
• R. Rioboo
• 9 pages - 11/23/2001 - document en - http://www.lip6.fr/lip6/reports/2001/lip6.2001.027.pdf 192 Ko
• Contact Renaud.Rioboo (at) nulllip6.fr
• Ancien Thème : CALFOR
The purpose of this paper is to offer an alternative to Thom's coding (M.Coste-M.F.Roy) for real algebraic numbers when working over fields that contain infinitesimals. For this main case of non-archimedean ordered fields we modify Newton-Puiseux method (Duval, Walker) to separate and work with the distinct real roots of a polynomial. An Axiom implementation describing these methods is then presented.