%0 Journal Article %A Leach Albert, Javier %A Nieva Soto, Susana %A Rodríguez-Artalejo, Mario %T Constraint Logic Programming with Hereditary Harrop formulas %D 2001 %@ 1471-0684 %U https://hdl.handle.net/20.500.14352/57721 %X Constraint Logic Programming (CLP) and Hereditary Harrop formulas (HH) are two well known ways to enhance the expressivity of Horn clauses. In this paper, we present a novel combination of these two approaches. We show how to enrich the syntax and proof theory of HH with the help of a given constraint system, in such a way that the key property of HH as a logic programming language (namely, the existence of uniform proofs) is preserved. We also present a procedure for goal solving, showing its soundness and completeness for computing answer constraints. As a consequence of this result, we obtain a new strong completeness theorem for CLP that avoids the need to build disjunctions of computed answers, as well as a more abstract formulation of a known completeness theorem for HH. %~