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correctness_of_formula_propagation [2007/04/14 17:09] vkuncak |
correctness_of_formula_propagation [2007/04/14 17:17] vkuncak |
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Using an example of a single loop, we explain that if the analysis terminates then it computes an inductive invariant weaker than the initial formula. | Using an example of a single loop, we explain that if the analysis terminates then it computes an inductive invariant weaker than the initial formula. | ||
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+ | By induction, to prove that property holds after any number of loop iterations, we show that it holds initially and that it is preserved by each loop iteration. | ||
Consider a loop | Consider a loop |