A. Mahboubi, Implementing the cylindrical algebraic decomposition within the Coq system, Mathematical Structures in Computer Science, vol.17, issue.01, 2007.
DOI : 10.1017/S096012950600586X

URL : https://hal.archives-ouvertes.fr/hal-00819489

J. Harrison, Verifying Nonlinear Real Formulas Via Sums of Squares, Proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, pp.102-118, 2007.
DOI : 10.1007/978-3-540-74591-4_9

D. Stevenson, An American national standard: IEEE standard for binary floating point arithmetic, ACM SIGPLAN Notices, vol.22, issue.2, pp.9-25, 1987.

L. Jaulin, M. Kieffer, O. Didrit, and E. Walter, Applied Interval Analysis, with Examples in Parameter and State Estimation, Robust Control and Robotics, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00845131

M. Daumas, L. Rideau, and L. Théry, A Generic Library for Floating-Point Numbers and Its Application to Exact Computing, Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics, pp.169-184, 2001.
DOI : 10.1007/3-540-44755-5_13

URL : https://hal.archives-ouvertes.fr/hal-00157285

S. Boldo, Preuves formelles en arithmétiquesarithmétiques`arithmétiquesà virgule flottante, 2004.

G. Melquiond, De l'arithmétique d'intervallesàintervallesà la certification de programmes, 2006.

B. Grégoire and L. Théry, A Purely Functional Library for Modular Arithmetic and Its Application to Certifying Large Prime Numbers, Proceedings of the 3rd International Joint Conference on Automated Reasoning, pp.423-437, 2006.
DOI : 10.1007/11814771_36

A. Spiwack, Ajouter des entiers machinè a Coq, 2006.

S. Boutin, Using reflection to build efficient and certified decision procedures, In: Theoretical Aspects of Computer Software, pp.515-529, 1997.
DOI : 10.1007/BFb0014565

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.7587

D. Delahaye, A Tactic Language for the System Coq, Proceedings of the 7th International Conference on Logic for Programming and Automated Reasoning, pp.85-95, 1955.
DOI : 10.1007/3-540-44404-1_7

URL : https://hal.archives-ouvertes.fr/hal-01125070

M. Daumas, G. Melquiond, and C. Muñoz, Guaranteed Proofs Using Interval Arithmetic, 17th IEEE Symposium on Computer Arithmetic (ARITH'05), pp.188-195, 2005.
DOI : 10.1109/ARITH.2005.25

URL : https://hal.archives-ouvertes.fr/hal-00164621

R. Zumkeller, Formal Global Optimisation with Taylor Models, Proceedings of the 3rd International Joint Conference on Automated Reasoning, pp.408-422, 2006.
DOI : 10.1007/11814771_35

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.680.8497