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Journal Articles Journal of Formalized Reasoning Year : 2020

C-language floating-point proofs layered with VST and Flocq

Andrew W. Appel
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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. Theools 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 amost 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.
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Dates and versions

hal-03130704 , version 1 (03-02-2021)
hal-03130704 , version 2 (08-03-2021)





Andrew W. Appel, Yves Bertot. C-language floating-point proofs layered with VST and Flocq. Journal of Formalized Reasoning, 2020, 13 (1), pp.1-16. ⟨10.6092/issn.1972-5787/11442⟩. ⟨hal-03130704v2⟩
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