semirings: two monoids as one, in holy haskimony
Haskellers are usually familiar with monoids and semigroups. A monoid has an appending operation <>
(or mappend
),
and an identity element, mempty
. A semigroup has an appending <>
operation, but does not require a mempty
element.
A Semiring has two appending operations, plus
and times
, and two respective identity elements, zero
and one
.
More formally, a Semiring R is a set equipped with two binary relations +
and *
, such that:
(R,+) is a commutative monoid with identity element 0,
(R,*) is a monoid with identity element 1,
(*) left and right distributes over addition, and
multiplication by '0' annihilates R.
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Name | Description | Default |
---|---|---|
containers | You can disable the use of the Disabling this may be useful for accelerating builds in sandboxes for expert users. | Enabled |
unordered-containers | You can disable the use of the `unordered-containers` package using `-f-unordered-containers`. Disabling this may be useful for accelerating builds in sandboxes for expert users. | Enabled |
Use -f <flag> to enable a flag, or -f -<flag> to disable that flag. More info
Downloads
- semirings-0.7.tar.gz [browse] (Cabal source package)
- Package description (as included in the package)
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Versions [RSS] | 0.0.0, 0.1.0, 0.1.1, 0.1.2, 0.1.3.0, 0.2.0.0, 0.2.0.1, 0.2.1.0, 0.2.1.1, 0.3.0.0, 0.3.1.0, 0.3.1.1, 0.3.1.2, 0.4, 0.4.1, 0.4.2, 0.5, 0.5.1, 0.5.2, 0.5.3, 0.5.4, 0.6, 0.7 |
---|---|
Change log | CHANGELOG.md |
Dependencies | base (>=4.8 && <5), containers (>=0.5.4), hashable (>=1.1), template-haskell (>=2.4.0.0), unordered-containers (>=0.2) [details] |
Tested with | ghc ==8.0, ghc ==8.2, ghc ==8.4, ghc ==8.6, ghc ==8.8, ghc ==8.10, ghc ==9.0, ghc ==9.2, ghc ==9.4, ghc ==9.6 |
License | BSD-3-Clause |
Copyright | Copyright (C) 2018 chessai |
Author | chessai |
Maintainer | chessai <chessai1996@gmail.com> |
Category | Algebra, Data, Data Structures, Math, Maths, Mathematics |
Home page | http://github.com/chessai/semirings |
Bug tracker | http://github.com/chessai/semirings/issues |
Source repo | head: git clone git://github.com/chessai/semirings.git |
Uploaded | by chessai at 2024-05-21T19:43:36Z |
Distributions | Arch:0.6, LTSHaskell:0.7, NixOS:0.6, Stackage:0.7 |
Reverse Dependencies | 18 direct, 7905 indirect [details] |
Downloads | 21640 total (229 in the last 30 days) |
Rating | 2.0 (votes: 1) [estimated by Bayesian average] |
Your Rating | |
Status | Docs uploaded by user Build status unknown [no reports yet] |