Haskell and mathematics: Difference between revisions

Latest revision as of 05:23, 12 July 2021

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?"

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
Mathematical prelude discussion: Initiatives to develop a mathematically sound algebraic class hierarchy for Haskell.
Z4 - a Ro/Haskell page with a small (not complete) implementation of Z4, as part of the Project "Boosting your Maths. Faculty with Haskell" . See paragraph # 3, on page Z4

Math papers using Haskell:

Proving Conway's Lost Cosmological Theorem with Haskell

@@ Line 1: / Line 1: @@
 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."
+:''"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?"
+:''"How can Haskell not be the programming language that all mathematicians should learn?"''
-To paraphrase Hilbert ([http://www.autoren-heute.de/wissenschaft/trans_html/Physiker/index.html "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:
 * [[Books and tutorials/Mathematics|Mathematics textbooks using Haskell]]
+* The [http://hackage.haskell.org/packages/archive/pkg-list.html#cat:Math category of math libraries] on the Hackage library database.
 * A growing [[Libraries_and_tools/Mathematics|collection of Haskell math libraries]].
 * There has been a long tradition of mechanised reasoning in and about Haskell.
@@ Line 18: / Line 16: @@
 ** [[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.
-* [http://haskell.org/haskellwiki/Blog_articles/Mathematics Articles about Haskell and mathetmatics]
+* [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.
+* [[Mathematical prelude discussion]]: Initiatives to develop a mathematically sound algebraic class hierarchy for Haskell.
+* [[Z4]] - a Ro/Haskell page with a small (not complete) implementation of Z4, as part of the Project "Boosting your Maths. Faculty with Haskell" . See paragraph # 3, on page [[Z4]]
+Math papers using Haskell:
+* [http://www.cs.cmu.edu/~kw/pubs/conway.pdf Proving Conway's Lost Cosmological Theorem with Haskell]
 [[Category:Community]]
 [[Category:Mathematics|*]]