A minimalistic look at widening operators

Details A minimalistic look at widening operators A minimalistic look at widening operators

2009-02-21

arxiv.org/abs/0902.3722v3

Computer Science

Logic in Computer Science

Scientific paper

We consider the problem of formalizing the familiar notion of widening in abstract interpretation in higher-order logic. It turns out that many axioms of widening (e.g. widening sequences are ascending) are not useful for proving correctness. After keeping only useful axioms, we give an equivalent characterization of widening as a lazily constructed well-founded tree. In type systems supporting dependent products and sums, this tree can be made to reflect the condition of correct termination of the widening sequence.

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