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arXiv · 2401.11029

Optimization of the Context-Free Language Reachability Matrix-Based Algorithm

Ilia Muravev
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Abstract

Various static analysis problems are reformulated as instances of the Context-Free Language Reachability (CFL-r) problem. One promising way to make solving CFL-r more practical for large-scale interprocedural graphs is to reduce CFL-r to linear algebra operations on sparse matrices, as they are efficiently executed on modern hardware. In this work, we present five optimizations for a matrix-based CFL-r algorithm that utilize the specific properties of both the underlying semiring and the widely-used linear algebra library SuiteSparse:GraphBlas. Our experimental results show that these optimizations result in orders of magnitude speedup, with the optimized matrix-based CFL-r algorithm consistently outperforming state-of-the-art CFL-r solvers across four considered static analyses.

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Ilia Muravev. 2024-01-19. Optimization of the Context-Free Language Reachability Matrix-Based Algorithm. https://arxiv.org/abs/2401.11029

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