I-structures: data structures for parallel computing

TLDR: It is difficult to achieve elegance, efficiency, and parallelism simultaneously in functional programs that manipulate large data structures, and it is shown that even in the context of purely functional languages, I-structures are invaluable for implementing functional data abstractions.

Abstract: 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.