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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Versions [faq] | 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 |
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Change log | CHANGELOG.md |
Dependencies | base (>=4.8 && <5), base-compat-batteries, containers (>=0.5.4 && <0.7), hashable (>=1.1 && <1.4), template-haskell (>=2.4.0.0), unordered-containers (==0.2.*) [details] |
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 2021-01-07T14:25:12Z |
Distributions | LTSHaskell:0.2.1.1, NixOS:0.6, Stackage:0.4.2 |
Downloads | 10704 total (162 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] |
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Downloads
- semirings-0.6.tar.gz [browse] (Cabal source package)
- Package description (as included in the package)