HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Floats & Ropes: a case study for formal numerical program verification

Sylvie Boldo 1, 2
1 PROVAL - Proof of Programs
UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR
Abstract : We present a case study of a formal verification of a numerical program that computes the discretization of a simple partial differential equation. Bounding the rounding error was tricky as the usual idea, that is to bound the absolute value of the error at each step, fails. Our idea is to find out a precise analytical expression that cancels with itself at the next step, and to formally prove the correctness of this approach.
Complete list of metadata

Contributor : Sylvie Boldo Connect in order to contact the contributor
Submitted on : Tuesday, November 17, 2009 - 9:45:42 AM
Last modification on : Wednesday, February 9, 2022 - 5:26:06 PM

Links full text



Sylvie Boldo. Floats & Ropes: a case study for formal numerical program verification. Lecture Notes in Computer Science, Springer, 2009, 36th International Colloquium on Automata, Languages and Programming, 5556, pp.91--102. ⟨10.1007/978-3-642-02930-1_8⟩. ⟨inria-00432718⟩



Record views