In recent work, a general framework for specifying correspondences between logic programs under the answer-set semantics has been defined. The framework allows to define different notions of equivalence, including well-known notions like strong equivalence as well as refined ones based on the projection of answer sets, where not all parts of an answer set are of relevance. In this paper, we describe a system, called cc ⊤, to verify program correspondences in this general framework, relying on linear-time constructible reductions to quantified propositional logic using extant solvers for the latter language as back-end inference engines. We provide a preliminary performance evaluation which sheds light on some crucial design issues.