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Lecture Notes in Computer Science
Geometric heuristics for the quantifier elimination approach presented by Kapur (2004) are investigated to automatically derive loop invariants expressing weakly relational numerical properties (such as l ≤ x ≤ h or l ≤ ±x ± y ≤ h) for imperative programs. Such properties have been successfully used to analyze commercial software consisting of hundreds of thousands of lines of code (using for example, the Astrée tool based on abstract interpretation framework proposed by Cousot and his group).doi:10.1007/978-3-642-36675-8_11 fatcat:azi6olpq6fbllpgacgoeqhvzle