A Purely Functional Computer Algebra System Embedded in Haskell
Computer Algebra in Scientific Computing, pp. 288-303. 20th International Workshop, CASC 2018, Lille, France, September 17-21, 2018, Proceedings We demonstrate how methods in Functional Programming can be used to implement a computer algebra system. As a proof-of-concept, we present the computationa...
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| Format: | Journal Article |
| Language: | English |
| Published: |
20-09-2018
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| Online Access: | Get full text |
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| Summary: | Computer Algebra in Scientific Computing, pp. 288-303. 20th
International Workshop, CASC 2018, Lille, France, September 17-21, 2018,
Proceedings We demonstrate how methods in Functional Programming can be used to implement
a computer algebra system. As a proof-of-concept, we present the
computational-algebra package. It is a computer algebra system implemented as
an embedded domain-specific language in Haskell, a purely functional
programming language. Utilising methods in functional programming and prominent
features of Haskell, this library achieves safety, composability, and
correctness at the same time. To demonstrate the advantages of our approach, we
have implemented advanced Gr\"{o}bner basis algorithms, such as Faug\`{e}re's
$F_4$ and $F_5$, in a composable way. |
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| DOI: | 10.48550/arxiv.1807.01456 |