WIDE-SPECTRUM TYPE SYSTEM INCORPORATING REPRESENTATION TYPES, CORRECTNESS TYPES, COERCIONS, AND FUNCTION OVERLOAD RESOLUTION

In an embodiment of the invention, one or more tangible non-transitory computer-readable storage media may store the following instructions. Defining representation type spaces R1 and R2 and correctness type spaces C1 and C2 over the representation type spaces R1 and R2, respectively. Defining a representation type space R and a correctness type space C over the representation type space R, such that a semilattice associated with the correctness type space C is a function semilattice over respective semilattices associated with the correctness type spaces C1 and C2.