Haskell and mathematics

Haskell is growing in popularity among mathematicians. As one blogger put it:

"after my involving myself in the subject, one thing that stands out is the relatively low distance between thought expressed in my ordinary day-to-day mathematical discourse, and thought expressed in Haskell code."

and

"How can Haskell not be the programming language that all mathematicians should learn?"

To paraphrase Hilbert ("Physics is too complicated for Physicists"), the relative obscurity of Haskell (a language with a strict notion of functions, higher-order-functions, and types) amongst mathematicians may be that:

"Haskell is too mathematical for many mathematicians." [I doubt it. In fact, it seems to me that the opposite is more likely true. -- Cale]

This page collects resources for using Haskell to do mathematics:

• Mathematics textbooks using Haskell
• The category of math libraries on the Hackage library database.
• A growing collection of Haskell math libraries.
• There has been a long tradition of mechanised reasoning in and about Haskell.
  • Research papers
  • Theorem provers
• Articles on computational and category theoretic branches of mathematics, and their role as a foundation for programming and Haskell itself.
• Articles about Haskell and mathematics
• A mathematical class hierarchy for Haskell. An initiative to develop a mathematically sound algebraic class hierarchy for Haskell.

Math papers using Haskell:

• Proving Conway's Lost Cosmological Theorem with Haskell