LITES-v005-i001-a003.pdf
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We clarify the notion of cache persistence and contribute to the understanding of persistence analysis for caches with least-recently-used replacement.To this end, we provide the first formal definition of persistence as a property of a trace semantics. Based on this trace semantics we introduce a semantics-based, i.e., abstract-interpretation-based persistence analysis framework.We identify four basic persistence analyses and prove their correctness as instances of this analysis framework.Combining these basic persistence analyses via two generic cooperation mechanisms yields a lattice of ten persistence analyses.Notably, this lattice contains all persistence analyses previously described in the literature. As a consequence, we obtain uniform correctness proofs for all prior analyses and a precise understanding of how and why these analyses work, as well as how they relate to each other in terms of precision.
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