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Bound Analysis of Imperative Programs with the Size-change Abstraction

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The size-change abstraction (SCA) is an important program abstraction for termination analysis, which has been successfully implemented in many tools for functional and logic programs. In this talk, I will demonstrate that SCA is also a highly effective abstract domain for the bound analysis of imperative programs. I will introduce the first algorithm for bound computation with SCA and discuss how our methodology solves the technical challenges involved in bound computation. Further I will present two program transformations – pathwise analysis and contextualization – that make our SCA -based analysis precise enough to scale to real world programs. I will demonstrate the effectiveness of our approach by experiments with our tool Loopus on the cBench benchmark.

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