Partial Evaluation with Partially Static Operations

Partial evaluation distinguishes between different binding times when manipulating values in a program. A partial evaluator performs evaluation steps on values with a static binding time whereas it generates code for values with a dynamic binding time. Binding time descriptions have evolved from monolithic to fine grained, partially static data structures where different components may have different binding times. We consider the next step in this evolution where not just data constructors but also operations can give rise to partially static structures, which are processed by the partial evaluator. We introduce this notion in an online setting, generalize it, generate a binding-time analysis for it, and specify an offline program generator supporting partially static operations with it. We prove the correctness of the binding-time analysis as well as the correctness and the completeness of the offline specializer with respect to the online specializer. General Terms Experimentation, Languages, Theory