True Sums of Products Edsko de Vries, Andres Löh We introduce the sum-of-products (SOP) view for datatype-generic programming (in Haskell). While many of the libraries that are commonly in use today represent datatypes as arbitrary combinations of binary sums and products, SOP reflects the structure of datatypes more faithfully: each datatype is a single n-ary sum, where each component of the sum