I-structures: data structures for parallel computing

It is difficult to achieve elegance, efficiency, and parallelism simultaneously in functional programs that manipulate large data structures. We demonstrate this through careful analysis of program examples using three common functional data-structuring approaches-lists using Cons, arrays using Update (both fine-grained operators), and arrays using make-array (a “bulk” operator). We then present I-structure as an alternative and show elegant, efficient, and parallel solutions for the program examples in Id, a language with I-structures. The parallelism in Id is made precise by means of an operational semantics for Id as a parallel reduction system. I-structures make the language nonfunctional, but do not lose determinacy. Finally, we show that even in the context of purely functional languages, I-structures are invaluable for implementing functional data abstractions.