la première étape approxime les contraintes sur les flottants par des contraintes sur les réels et les flottants ; la deuxième consiste à résoudre les contraintes obtenus, puis Les solutions flottantes sont choisies, p.41 ,
Filtrage hybride utilisant l'approximation par l'erreur relative et la 2B, p.65 ,
Towards Testing Concurrent Objects in CLP, Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, pp.98-108 ,
Filtering floating-point constraints by maximum ULP. arXiv preprint arXiv :1308, 2013. ,
Symbolic Path-Oriented Test Data Generation for Floating-Point Programs, 2013 IEEE Sixth International Conference on Software Testing, Verification and Validation, pp.2013-2047, 2013. ,
DOI : 10.1109/ICST.2013.17
URL : https://hal.archives-ouvertes.fr/hal-00807884
Constraint-based software testing, Journée du GDR-GPL, vol.9, 2009. ,
Formal methods applied to a floating-point number system. Software Engineering, IEEE Transactions on, vol.15, issue.5, pp.611-621, 1989. ,
Un nouvel algorithme de consistance locale sur les nombres flottants, Huitièmes Journées Francophones de Programmation par Contraintes, pp.57-64, 2012. ,
CLP (Intervals ) revisited. Rapport technique, Citeseer, 1994. ,
Claude Michel et Michel Rueher. The V3F project. CSTVA'06, 2006. ,
Combining Coq and Gappa for certifying floating-point programs, Intelligent Computer Mathematics, pp.59-74, 2009. ,
FPSE : Floating-Point Symbolic Execution, 2005. ,
Symbolic execution of floating-point computations, Software Testing, Verification and Reliability, vol.14, issue.2, pp.97-121, 2006. ,
DOI : 10.1002/stvr.333
URL : https://hal.archives-ouvertes.fr/inria-00540299
CLPS???B ??? A constraint solver to animate a B specification, International Journal on Software Tools for Technology Transfer, vol.7, issue.2, pp.143-157, 2004. ,
DOI : 10.1007/s10009-003-0123-8
Mixed abstractions for floating-point arithmetic, 2009 Formal Methods in Computer-Aided Design, pp.69-76, 2009. ,
DOI : 10.1109/FMCAD.2009.5351141
CESTAC, A TOOL FOR A STOCHASTIC ROUND-OFF ERROR ANALYSIS IN SCIENTIFIC COMPUTING, IBM France Scientific Center, 1986. ,
DOI : 10.1016/B978-0-444-70067-4.50006-6
Specification of the IEEE-854 floating-point standard in HOL and PVS. High Order Logic Theorem Proving and Its Applications, 1995. ,
Constraint-Based Test Input Generation for Java Bytecode, ISSRE, pp.131-140, 2010. ,
CPBPV: a constraint-programming framework for bounded program verification, Constraints, vol.404, issue.3, pp.238-264, 2010. ,
DOI : 10.1007/s10601-009-9089-9
URL : https://hal.archives-ouvertes.fr/hal-01099509
A dynamic constraint-based BMC strategy for generating counterexamples, Proceedings of the 2011 ACM Symposium on Applied Computing, SAC '11, pp.1633-1638, 2011. ,
DOI : 10.1145/1982185.1982528
URL : https://hal.archives-ouvertes.fr/hal-00531081
The ASTRE?? Analyzer, Proc. of the European Symposium on Programming (ESOP'05), pp.21-30, 2005. ,
DOI : 10.1007/978-3-540-31987-0_3
A generic library for floating-point numbers and its application to exact computing, Theorem Proving in Higher Order Logics, pp.169-184, 2001. ,
Z3: An Efficient SMT Solver, Tools and Algorithms for the Construction and Analysis of Systems, pp.337-340, 2008. ,
DOI : 10.1007/978-3-540-78800-3_24
Karim Tekkal et Franck Védrine Towards an industrial use of FLUCTUAT on safety-critical avionics software, Formal Methods for Industrial Critical Systems, pp.53-69, 2009. ,
Constraint-based automatic test data generation. Software Engineering, IEEE Transactions on, vol.17, issue.9, pp.900-910, 1991. ,
Improving Constraint-Based Testing with Dynamic Linear Relaxations, The 18th IEEE International Symposium on Software Reliability (ISSRE '07), pp.181-190, 2007. ,
DOI : 10.1109/ISSRE.2007.34
URL : https://hal.archives-ouvertes.fr/hal-00180513
A survey of automated techniques for formal software verification. Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on, vol.27, issue.7, pp.1165-1178, 2008. ,
Numeric bounds analysis with conflict-driven learning, Tools and Algorithms for the Construction and Analysis of Systems, pp.48-63, 2012. ,
MPFR, ACM Transactions on Mathematical Software, vol.33, issue.2, p.13, 2007. ,
DOI : 10.1145/1236463.1236468
URL : https://hal.archives-ouvertes.fr/inria-00103655
Test Generation Using Symbolic Animation of Models, editeurs, Model-based testing for embedded systems, Computational analysis, synthesis, and design of dynamic systems, pp.2011-2042, 2011. ,
A Logical Product Approach to Zonotope Intersection, Computer Aided Verification, pp.212-226, 2010. ,
DOI : 10.1007/978-3-642-14295-6_22
Automatic Test Data Generation Using Constraint Solving Techniques, ISSTA, pp.53-62, 1998. ,
A CLP Framework for Computing Structural Test Data, Computational Logic, pp.399-413, 2000. ,
DOI : 10.1007/3-540-44957-4_27
Asserting the Precision of Floating-Point Computations: A Simple Abstract Interpreter, Programming Languages and Systems, pp.209-212, 2002. ,
DOI : 10.1007/3-540-45927-8_15
A Machine-Checked Theory of Floating Point Arithmetic, Theorem Proving in Higher Order Logics, pp.113-130, 1999. ,
DOI : 10.1007/3-540-48256-3_9
Formal Verification of Floating Point Trigonometric Functions, Formal Methods in Computer-Aided Design, pp.254-270, 2000. ,
DOI : 10.1007/3-540-40922-X_14
Std 854-1987 : IEEE Standard for Radix- Independent Floating-Point Arithmetic, 1987. ,
CADNA : a library for estimating round-off error propagation, Computer Physics Communications, vol.178, issue.12, pp.933-955, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-01146486
The improbability of probabilistic error analyses for numerical computations, UCB Statistics Colloquium, 1996. ,
Proof engineering in the large: formal verification of Pentium???4 floating-point divider, International Journal on Software Tools for Technology Transfer (STTT), vol.4, issue.3, pp.323-334, 2003. ,
DOI : 10.1007/s10009-002-0081-6
Astrée : Proving the absence of runtime errors, Proc. of Embedded Real Time Software and Systems, p.9, 2010. ,
Flopsy-search-based floating point constraint solving for symbolic execution, Testing Software and Systems, pp.142-157, 2010. ,
Efficient and Safe Global Constraints for Handling Numerical Constraint Systems, SIAM Journal on Numerical Analysis, vol.42, issue.5, pp.2076-2097, 2005. ,
DOI : 10.1137/S0036142903436174
URL : https://hal.archives-ouvertes.fr/hal-00907765
An efficient and safe framework for solving optimization problems, Journal of Computational and Applied Mathematics, vol.199, issue.2, pp.372-377, 2007. ,
DOI : 10.1016/j.cam.2005.08.037
URL : https://hal.archives-ouvertes.fr/hal-00510304
Consistency in networks of relations, Consistency in networks of relations, pp.99-118, 1977. ,
DOI : 10.1016/0004-3702(77)90007-8
Test Sequences Generation from LUSTRE Descriptions : GATEL, ASE : Proceedings of the 15th IEEE international conference on Automated software engineering, p.229, 2000. ,
Improving the floating point addition and subtraction constraints, Principles and Practice of Constraint Programming?CP 2010, pp.360-367, 2010. ,
Computability of global solutions to factorable nonconvex programs: Part I ??? Convex underestimating problems, Mathematical Programming, pp.147-175, 1976. ,
DOI : 10.1287/mnsc.17.11.759
Solving Constraints over Floating-Point Numbers, CP, volume 2239 of Lecture Notes in Computer Science, pp.524-538, 2001. ,
DOI : 10.1007/3-540-45578-7_36
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.816
Relational Abstract Domains for the Detection of Floating-Point Run-Time Errors, Proc. of the European Symposium on Programming, pp.3-17, 2004. ,
DOI : 10.1007/978-3-540-24725-8_2
The octagon abstract domain, Higher-Order and Symbolic Computation (HOSC), pp.31-100, 2006. ,
Interval analysis, 1966. ,
Handbook of floating-point arithmetic, Birkhäuser Boston, pp.16-89, 2010. ,
DOI : 10.1007/978-0-8176-4705-6
URL : https://hal.archives-ouvertes.fr/ensl-00379167
Formally verifying IEEE compliance of floating-point hardware, Intel Technology Journal, vol.3, issue.1, pp.1-14, 1999. ,
A Constraint Solver Based on Abstract Domains, Verification, Model Checking, and Abstract Interpretation, pp.434-454, 2013. ,
DOI : 10.1007/978-3-642-35873-9_26
URL : https://hal.archives-ouvertes.fr/hal-00785604
Refining abstract interpretation-based approximations with a floating-point constraint solver, Fourth International Workshop on Numerical Software Verification, pp.2011-2033, 2011. ,
Refining abstract interpretation based value analysis with constraint programming techniques, Principles and Practice of Constraint Programming, pp.593-607, 2012. ,
Static analysis-based validation of floating-point computations, Numerical software with result verification, pp.306-313, 2004. ,
A Case Study in Formal Verification of Register-Transfer Logic with ACL2 : The Floating Point Adder of the AMD Athlon TM Processor, Formal Methods in Computer-Aided Design, pp.22-55, 2000. ,
Floating-point computation, 1974. ,
Automatic Test Data Generation for Programs with Integer and Float Variables, 16th IEEE International Conference on Automated Software Engineering, pp.26-29, 2001. ,
PathCrawler: Automatic Generation of Path Tests by Combining Static and Dynamic Analysis, Dependable Computing-EDCC 5, pp.281-292, 2005. ,
DOI : 10.1007/11408901_21
MPFR : a library for multiprecision floating-point arithmetic with exact rounding, 4th Conference on Real Numbers and Computers, 2000. ,