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Letychevskyi, Oleksandr, Peschanenko, Volodymyr, Radchenko, Viktor, Hryniuk, Yaroslav, Yakovlev, Viktor.  2019.  Algebraic Patterns of Vulnerabilities in Binary Code. 2019 10th International Conference on Dependable Systems, Services and Technologies (DESSERT). :70–73.
This paper presents an algebraic approach for formalizing and detecting vulnerabilities in binary code. It uses behaviour algebra equations for creating patterns of vulnerabilities and algebraic matching methods for vulnerability detection. Algebraic matching is based on symbolic modelling. This paper considers a known vulnerability, buffer overflow, as an example to demonstrate an algebraic approach for pattern creation.
Letychevskyi, Oleksandr.  2019.  Two-Level Algebraic Method for Detection of Vulnerabilities in Binary Code. 2019 10th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS). 2:1074–1077.
This study introduces formal methods for detection of vulnerabilities in binary code. It considers the transformation of binary code into behavior algebra expressions and formalization of vulnerabilities. The detection method has two levels: behavior matching and symbolic execution with vulnerability pattern matching. This enables more efficient performance.