Write a Blog >>
ICFP 2018
Sun 23 - Sat 29 September 2018 St. Louis, Missouri, United States

Partially-static data structures are a well-known technique for improving binding times.

However, they are often defined in an ad-hoc manner, without a unifying framework to ensure full use of the equations associated with each operation.

We present a foundational view of partially-static data structures as free extensions of algebras for suitable equational theories, i.e. the coproduct of an algebra and a free algebra in the category of algebras and their homomorphisms.

By precalculating these free extensions, we construct a high-level library of partially static data representations for common algebraic structures.

We demonstrate our library with common use-cases from the literature: string and list manipulation, linear algebra, and numerical simplification.