Refining logic programs using types

The logic programming refinement calculus is a method for transforming specifications to executable code, maintaining the correctness of the code with respect to its specification. In this paper we show how types can be handled in the logic programming refinement calculus. Types of variables are necessary for a complete specification of a procedure, and typing information can guide the refinement of a procedure specification to code. As an application of this framework, we show how dynamic type-checks can be formally eliminated from a sample program.