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[ Source: haskell-semirings  ]

Package: libghc-semirings-dev (0.7-1 and others)

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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.

This package provides a library for the Haskell programming language. See http://www.haskell.org/ for more information on Haskell.

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