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2010
Springer

A Logical Product Approach to Zonotope Intersection

9 years 4 months ago
A Logical Product Approach to Zonotope Intersection
We define and study a new abstract domain which is a fine-grained combination of zonotopes with (sub-)polyhedric domains such as the interval, ocinear template or polyhedron domains. While abstract transfer functions are still rather inexpensive and accurate even for interpreting non-linear computations, we are able to also interpret tests (i.e. intersections) efficiently. This fixes a known drawback of zonotopic methods, as used for reachability analysis for hybrid systems as well as for invariant generation in abstract interpretation: intersection of zonotopes are not always zonotopes, and there is not even a best zonotopic over-approximation of the intersection. We describe some examples and an implementation of our method in the APRON library, and discuss some further interesting combinations of zonotopes with non-linear or non-convex domains such as quadratic templates and maxplus polyhedra.
Khalil Ghorbal, Eric Goubault, Sylvie Putot
Added 06 Dec 2010
Updated 06 Dec 2010
Type Conference
Year 2010
Where CAV
Authors Khalil Ghorbal, Eric Goubault, Sylvie Putot
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