name: semigroupoids
version: 5.3.2
id: semigroupoids-5.3.2-7SYmTspzpbUFHQFapWvcfu
key: semigroupoids-5.3.2-7SYmTspzpbUFHQFapWvcfu
license: BSD-3-Clause
copyright: Copyright (C) 2011-2015 Edward A. Kmett
maintainer: Edward A. Kmett <ekmett@gmail.com>
author: Edward A. Kmett
stability: provisional
homepage: http://github.com/ekmett/semigroupoids
synopsis: Semigroupoids: Category sans id
description:
    Provides a wide array of (semi)groupoids and operations for working with them.
    .
    A 'Semigroupoid' is a 'Category' without the requirement of identity arrows for every object in the category.
    .
    A 'Category' is any 'Semigroupoid' for which the Yoneda lemma holds.
    .
    When working with comonads you often have the @\<*\>@ portion of an @Applicative@, but
    not the @pure@. This was captured in Uustalu and Vene's \"Essence of Dataflow Programming\"
    in the form of the @ComonadZip@ class in the days before @Applicative@. Apply provides a weaker invariant, but for the comonads used for data flow programming (found in the streams package), this invariant is preserved. Applicative function composition forms a semigroupoid.
    .
    Similarly many structures are nearly a comonad, but not quite, for instance lists provide a reasonable 'extend' operation in the form of 'tails', but do not always contain a value.
    .
    Ideally the following relationships would hold:
    .
    > Foldable ----> Traversable <--- Functor ------> Alt ---------> Plus           Semigroupoid
    >      |               |            |                              |                  |
    >      v               v            v                              v                  v
    > Foldable1 ---> Traversable1     Apply --------> Applicative -> Alternative      Category
    >                                   |               |              |                  |
    >                                   v               v              v                  v
    >                                 Bind ---------> Monad -------> MonadPlus          Arrow
    >
    .
    Apply, Bind, and Extend (not shown) give rise the Static, Kleisli and Cokleisli semigroupoids respectively.
    .
    This lets us remove many of the restrictions from various monad transformers
    as in many cases the binding operation or @\<*\>@ operation does not require them.
    .
    Finally, to work with these weaker structures it is beneficial to have containers
    that can provide stronger guarantees about their contents, so versions of 'Traversable'
    and 'Foldable' that can be folded with just a 'Semigroup' are added.
category: Control, Comonads
abi: 9c0eb7ee79662f622d851fdf8ad49a99
exposed: True
exposed-modules:
    Data.Bifunctor.Apply Data.Functor.Alt Data.Functor.Apply
    Data.Functor.Bind Data.Functor.Bind.Class Data.Functor.Bind.Trans
    Data.Functor.Extend Data.Functor.Plus Data.Groupoid
    Data.Isomorphism Data.Semigroup.Bifoldable
    Data.Semigroup.Bitraversable Data.Semigroup.Foldable
    Data.Semigroup.Foldable.Class Data.Semigroup.Traversable
    Data.Semigroup.Traversable.Class Data.Semigroupoid
    Data.Semigroupoid.Dual Data.Semigroupoid.Ob
    Data.Semigroupoid.Static Data.Traversable.Instances
import-dirs: /var/lib/jenkins/workspace/JHCR/.cabal-sandbox/lib/x86_64-linux-ghc-8.6.3/semigroupoids-5.3.2-7SYmTspzpbUFHQFapWvcfu
library-dirs: /var/lib/jenkins/workspace/JHCR/.cabal-sandbox/lib/x86_64-linux-ghc-8.6.3/semigroupoids-5.3.2-7SYmTspzpbUFHQFapWvcfu
dynamic-library-dirs: /var/lib/jenkins/workspace/JHCR/.cabal-sandbox/lib/x86_64-linux-ghc-8.6.3
data-dir: /var/lib/jenkins/workspace/JHCR/.cabal-sandbox/share/x86_64-linux-ghc-8.6.3/semigroupoids-5.3.2
hs-libraries: HSsemigroupoids-5.3.2-7SYmTspzpbUFHQFapWvcfu
depends:
    base-4.12.0.0 base-orphans-0.8.1-HeyTAcy4PKhDcGhjvJwDzq
    bifunctors-5.5.3-7j0mgi7D0yS2oNiXe9r7ql
    comonad-5.0.4-2EQIiLfvxxtIIllz8gbEQo containers-0.6.0.1
    contravariant-1.5-4tjvhiNPMk29NhGPKE1GIF
    distributive-0.6-8EpfN2RsUZm8inygL04Eq7
    hashable-1.2.7.0-2SI038axTEd7AEZJ275kpi
    tagged-0.8.6-FABECvKnqYbBCttH1EeJvB template-haskell-2.14.0.0
    transformers-0.5.5.0
    transformers-compat-0.6.4-K8aXsnheDmiIf9wwPX2j5s
    unordered-containers-0.2.10.0-LgoTL3wbBEY5bZIDJiyxW4
haddock-interfaces: /var/lib/jenkins/workspace/JHCR/.cabal-sandbox/share/doc/x86_64-linux-ghc-8.6.3/semigroupoids-5.3.2/html/semigroupoids.haddock
haddock-html: /var/lib/jenkins/workspace/JHCR/.cabal-sandbox/share/doc/x86_64-linux-ghc-8.6.3/semigroupoids-5.3.2/html