Formal Verification of a Program Obfuscation Based on Mixed Boolean-Arithmetic Expressions
The insertion of expressions mixing arithmetic operators and bitwise boolean operators is a widespread protection of sensitive data in source programs. This recent advanced obfuscation technique is one of the less studied among program obfuscations even if it is commonly found in binary code. In this paper, we formally verify in Coq this data obfuscation. It operates over a generic notion of mixed boolean-arithmetic expressions and on properties of bitwise operators operating over machine integers. Our obfuscation performs two kinds of program transformations: rewriting of expressions and insertion of modular inverses. To facilitate its proof of correctness, we define boolean semantic tables, a data structure inspired from truth tables. Our obfuscation is integrated into the CompCert formally verified compiler where it operates over Clight programs. The automatic extraction of our program obfuscator into OCaml yields a program with competitive results.
Mon 14 Jan Times are displayed in time zone: (GMT+01:00) Greenwich Mean Time : Belfast change
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Ian RoessleVirginia Tech, USA, Freek VerbeekOpen University of the Netherlands, The Netherlands, Binoy RavindranVirginia TechDOI
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Nicolas Koh, Yao LiUniversity of Pennsylvania, Yishuai LiUniversity of Pennsylvania, Li-yao XiaUniversity of Pennsylvania, Lennart BeringerPrinceton University, Wolf Honore, William ManskyUniversity of Illinois at Chicago, Benjamin C. PierceUniversity of Pennsylvania, Steve ZdancewicUniversity of PennsylvaniaDOI