Analyzing logic programs using ''prop''-ositional logic programs and a magic wand

This paper illustrates the role of a class of ''prop''-ositional logic programs in the analysis of complex properties of logic programs. Analyses are performed by abstracting Prolog programs to corresponding ''prop''-ositional logic programs which approximate the original programs and have finite meanings. We focus on a groundness analysis which is equivalent to that obtained by abstract interpretation using the domain Prop. The main contribution is in the ease in which a highly efficient implementation of the analysis is obtained. The implementation is bottom-up and provides approximations of a program's success patter-os. Goal-dependent information such as call patterns is obtained using a magic-set transformation. A novel compositional approach is applied so that call patterns for arbitrary goals are derived in a precise and efficient way.