Uniform Interpolation for ALC Revisited

Abstract

The notion of uniform interpolation for description logic ALC has been introduced in the literature. In this paper, we reformulate the uniform interpolation for ALC from the angle of forgetting and show that it satisfies all desired properties of forgetting. Then we introduce an algorithm for computing the result of forgetting in concept descriptions. We present a detailed proof for the correctness of our algorithm using the Tableau for ALC . Our results have been used to compute forgetting for ALC knowledge bases.