Static Analysis of Runtime Errors in Interrupt-Driven Programs via Sequentialization

Embedded software often involves intensive numerical computations and suffers from a number of runtime errors. The technique of numerical static analysis is of practical importance for checking the correctness of embedded software. However, most of the existing approaches of numerical static analysis consider sequential programs, while interrupts are a commonly used facility that introduces concurrency in embedded systems. Therefore, a numerical static analysis approach is highly desired for embedded software with interrupts. In this article, we propose a static analysis approach specifically for interrupt-driven programs based on sequentialization techniques. We present a method to sequentialize interrupt-driven programs into nondeterministic sequential programs according to the semantics of interrupts. The key benefit of using sequentialization is the ability to leverage the power of state-of-the-art analysis and verification techniques for sequential programs to analyze interrupt-driven programs, for example, the power of numerical abstract interpretation to analyze numerical properties of the sequentialized programs. Furthermore, to improve the analysis precision and scalability, we design specific abstract domains to analyze sequentialized interrupt-driven programs by considering their specific features. Finally, we present encouraging experimental results obtained by our prototype implementation.