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sav07_lecture_3_skeleton [2007/03/21 12:28] vkuncak |
sav07_lecture_3_skeleton [2007/03/21 14:20] vkuncak |
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| ====== Lecture 3 (Skeleton) ====== | ====== Lecture 3 (Skeleton) ====== | ||
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| + | Recall what we are doing: | ||
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| + | {{vcg-big-picture.png} | ||
| ===== Converting programs (with simple values) to formulas ===== | ===== Converting programs (with simple values) to formulas ===== | ||
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| Alternative: | Alternative: | ||
| * decide that you will only loop for formulas of restricted form, as in abstract interpretation and data flow analysis (next week) | * decide that you will only loop for formulas of restricted form, as in abstract interpretation and data flow analysis (next week) | ||
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| \end{equation*} | \end{equation*} | ||
| - | whose validity we need to prove. We here assume that F contains only | + | whose validity we need to prove. We here assume that F contains only linear arithmetic. Note: we can check satisfiability of $F\ \land\ (\mbox{error}=\mbox{true})$. We show an algorithm to check this satisfiability. |
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| - | Note: we can check satisfiability of $F\ \land\ (\mbox{error}=\mbox{true})$. | + | |
| ==== Quantifier Presburger arithmetic ==== | ==== Quantifier Presburger arithmetic ==== | ||