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We demonstrate how several programming language concepts and methods can be used economically to obtain an improved solution to a difficult algorithmic problem. The problem is to compile a subset RCS of Relational Calculus defined by Willard (1978) in a novel way so that efficient run-time query performance is guaranteed. Willard gives an algorithm to compile each query q belonging to RCS so that it executes in O(n log d n + o) steps and O(n) space, where n and o are respectively the input and output set sizes, and d is a parameter associated with the syntax of query q. Willard’s time bounds are based on the assumption that hashing unit-space data takes unit time.

The Formal Reconstruction and Speedup Of The Linear Time Fragment Of Willard’s Relational Calculus Subset