Formal proof the four-color theorem, Notices of the AMS, p.13821393, 2008. ,
Interactive Theorem Proving and Program Development . Coq'Art: the Calculus of Inductive Constructions, Theoretical Computer Science, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00344237
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, p.423437, 2006. ,
DOI : 10.1007/11814771_36
A proof of the Kepler conjecture, Annals of Mathematics, vol.162, issue.3, p.10651185, 2005. ,
DOI : 10.4007/annals.2005.162.1065
Proving Bounds on Real-Valued Functions with Computations, Proceedings of the 4th International Joint Conference on Automated Reasoning, p.217, 2008. ,
DOI : 10.1007/978-3-540-71070-7_2
URL : https://hal.archives-ouvertes.fr/hal-00180138
An American national standard: IEEE standard for binary oating point arithmetic, ACM SIGPLAN Notices, vol.22, issue.2, p.925, 1987. ,
MPFR, ACM Transactions on Mathematical Software, vol.33, issue.2 ,
DOI : 10.1145/1236463.1236468
URL : https://hal.archives-ouvertes.fr/inria-00070266
A mechanically checked proof of IEEE compliance of the AMD-K7 oating point multiplication, division, and square root instructions, LMS Journal of Computation and Mathematics, vol.1, p.148200, 1998. ,
A machine-checked theory of oating-point arithmetic, Proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics, p.113130, 1999. ,
A generic library of oating-point numbers and its application to exact computing, Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics, p.169184, 2001. ,
Fast evaluation of elementary mathematical functions with correctly rounded last bit, ACM Transactions on Mathematical Software, vol.17, issue.3, p.410423, 1991. ,
DOI : 10.1145/114697.116813
Elementary Functions, Algorithms and Implementation, 1997. ,
URL : https://hal.archives-ouvertes.fr/ensl-00000008
Real number calculations and theorem proving, Proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics, 2005. ,
Guaranteed Proofs Using Interval Arithmetic, 17th IEEE Symposium on Computer Arithmetic (ARITH'05), p.188195, 2005. ,
DOI : 10.1109/ARITH.2005.25
URL : https://hal.archives-ouvertes.fr/hal-00164621
Table-driven implementation of the logarithm function in IEEE oating-point arithmetic, ACM Transactions on Mathematical Software, vol.16, issue.378400, 1990. ,