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sav08:homework11 [2008/05/15 12:58] vkuncak |
sav08:homework11 [2015/04/21 17:30] (current) |
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**Part a)** Consider [[Conjunctions of Predicates]] as abstract interpretation domain. Give example showing that it need not be the case that | **Part a)** Consider [[Conjunctions of Predicates]] as abstract interpretation domain. Give example showing that it need not be the case that | ||
- | \[ | + | \begin{equation*} |
a_1 \leq a_2 \leftrightarrow \gamma(a_1) \subseteq \gamma(a_2) | a_1 \leq a_2 \leftrightarrow \gamma(a_1) \subseteq \gamma(a_2) | ||
- | \] | + | \end{equation*} |
**Part b)** Describe how to construct from $A$ a new, smaller, lattice $B$, where the above equivalence holds. Is there an algorithm to compute $B$ and the partial order on $B$ using a decision procedure for the logic of predicates? | **Part b)** Describe how to construct from $A$ a new, smaller, lattice $B$, where the above equivalence holds. Is there an algorithm to compute $B$ and the partial order on $B$ using a decision procedure for the logic of predicates? |