TY - JOUR
AU - Appel, Andrew W.
AU - Bertot, Yves
PY - 2020/01/01
Y2 - 2021/10/19
TI - C floating-point proofs layered with VST and Flocq
JF - Journal of Formalized Reasoning
JA - JFR
VL - 13
IS - 1
SE - Articles
DO - 10.6092/issn.1972-5787/11442
UR - https://jfr.unibo.it/article/view/11442
SP - 1-16
AB - We demonstrate tools and methods for proofs about the correctness and numerical accuracy of C programs. The tools are foundational, in that they are connected to formal semantic specifications of the C operational semantics and of the IEEE 754 floating-point format. The tools are modular, in that the reasoning about C programming can be done quite separately from the reasoning about numerical correctness and numerical accuracy. The tools are general, in that they accommodate almost the entire C language (with pointer data structures, function pointers, control flow, etc.) and applied mathematics (reasoned about in a general-purpose logic and proof assistant with substantial libraries for mathematical reasoning). We demonstrate on a simple Newton's-method square root function.
ER -