Parametrization for order-sorted algebraic specification

We investigate parametrization for order-sorted algebraic specifications. As a prerequisite we study free constructions for order-sorted algebras and relate the various approaches to order-sorting. Then we analyse parameter passing, the result being that the notion of order-sorted specification has to be restricted in order to establish our main result, namely, that parameter passing satisfies the same correctness criteria as in the case of many-sorted algebras.