# Haskell and mathematics

### From HaskellWiki

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** [[Libraries_and_tools/Theorem_provers|Theorem provers]] | ** [[Libraries_and_tools/Theorem_provers|Theorem provers]] | ||

* [[Mathematics|Articles]] on computational and category theoretic branches of mathematics, and their role as a foundation for programming and Haskell itself. | * [[Mathematics|Articles]] on computational and category theoretic branches of mathematics, and their role as a foundation for programming and Haskell itself. | ||

− | * [http://haskell.org/haskellwiki/Blog_articles/Mathematics Articles about Haskell and | + | * [http://haskell.org/haskellwiki/Blog_articles/Mathematics Articles about Haskell and mathematics] |

* [[Haskell and mathematics/Hierarchy|A mathematical class hierarchy for Haskell]]. An initiative to develop a mathematically sound algebraic class hierarchy for Haskell. | * [[Haskell and mathematics/Hierarchy|A mathematical class hierarchy for Haskell]]. An initiative to develop a mathematically sound algebraic class hierarchy for Haskell. | ||

+ | |||

+ | Math papers using Haskell: | ||

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+ | * [http://www.cs.cmu.edu/~kw/pubs/conway.pdf Proving Conway's Lost Cosmological Theorem with Haskell] | ||

[[Category:Community]] | [[Category:Community]] | ||

[[Category:Mathematics|*]] | [[Category:Mathematics|*]] |

## Revision as of 20:42, 16 January 2008

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."

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.
- 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: