Hardware-independent proofs of numerical programs

Sylvie Boldo (1, 2) , Thi Minh Tuyen Nguyen (1, 2)

1 PROVAL - Proof of Programs
2 LRI - Laboratoire de Recherche en Informatique

On recent architectures, a numerical program may give different answers depending on the execution hardware and the compilation. Our goal is to formally prove properties about numerical programs that are true for multiple architectures and compilers. We propose an approach that states the rounding error of each floating-point computation whatever the environment. This approach is implemented in the Frama-C platform for static analysis of C code. Small case studies using this approach are entirely and automatically proved.

Domaines: Logique en informatique [cs.LO]

Sylvie Boldo, Thi Minh Tuyen Nguyen. Hardware-independent proofs of numerical programs. Second NASA Formal Methods Symposium (NFM 2010), NASA, Apr 2010, Washington D.C., United States. pp.14-23. ⟨inria-00534410⟩