Certified Verification for Algebraic Abstraction-Reference-Cited by-同舟云学术

Certified Verification for Algebraic Abstraction

Published:2023 Issue: Volume: Page:329-349
ISSN:0302-9743
Container-title:Computer Aided Verification
language:
Short-container-title:

Author:

Tsai Ming-Hsien,Fu Yu-Fu,Liu Jiaxiang,Shi Xiaomu,Wang Bow-Yaw,Yang Bo-Yin

Abstract

AbstractWe present a certified algebraic abstraction technique for verifying bit-accurate non-linear integer computations. In algebraic abstraction, programs are lifted to polynomial equations in the abstract domain. Algebraic techniques are employed to analyze abstract polynomial programs; SMT QF_BV solvers are adopted for bit-accurate analysis of soundness conditions. We explain how to verify our abstraction algorithm and certify verification results. Our hybrid technique has verified non-linear computations in various security libraries such as Bitcoin and OpenSSL. We also report the certified verification of Number-Theoretic Transform programs from the post-quantum cryptosystem Kyber.

Publisher

Springer Nature Switzerland

Link

https://link.springer.com/content/pdf/10.1007/978-3-031-37709-9_16

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