Construction of Real Algebraic Numbers in Coq

Author:

Cohen Cyril

Publisher

Springer Berlin Heidelberg

Reference13 articles.

1. Barthe, G., Capretta, V., Pons, O.: Setoids in type theory. J. of Functional Programming 13(2), 261–293 (2003); Special Issue on Logical Frameworks and Metalanguages

2. Bostan, A.: Algorithmique efficace pour des opérations de base en Calcul formel. Ph.D. thesis, École polytechnique (2003), http://algo.inria.fr/bostan/these/These.pdf

3. Cohen, C.: Types quotients en COQ. In: Hermann (ed.) Actes des 21éme Journées Francophones des Langages Applicatifs (JFLA 2010), INRIA, Vieux-Port La Ciotat, France (January 2010), http://jfla.inria.fr/2010/actes/PDF/cyrilcohen.pdf

4. Cohen, C., Coquand, T.: A constructive version of Laplace’s proof on the existence of complex roots, http://hal.inria.fr/inria-00592284/PDF/laplace.pdf (unpublished)

5. Cohen, C., Mahboubi, A.: Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination. Logical Methods in Computer Science 8(1-02), 1–40 (2012), http://hal.inria.fr/inria-00593738

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