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 specciations of the C operational semantics and of the IEEE 754 oating-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 ow, 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.
|Original language||English (US)|
|Number of pages||16|
|Journal||Journal of Formalized Reasoning|
|State||Published - 2020|
All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)