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A parametric analysis is an analysis whose input and output are parametrizedwith a number of parameters which can be instantiated to abstract propertiesafter analysis is completed. This paper proposes to use Cousot and Cousot'sCardinal power domain to capture functional dependencies of analysis output onits input and obtain a parametric analysis by parametrizing a non-parametricbase analysis. We illustrate the method by parametrizing a $\pos$ basedgroundness analysis of logic programs to a parametric groundness analysis. Inaddition, a prototype implementation shows that generality of the parametricgroundness analysis comes with a negligible extra cost.

Parametrizing Program Analysis by Lifting to Cardinal Power Domains