free-category: efficient data types for free categories and arrows

[ algebra, category, category-theory, control, library, monads, mpl ] [ Propose Tags ]

Provide various data types for free categories / type aligned queues, type classes which allow to write abstract categories with side effects (Kleisli like categories). These are useful for encoding type safe state machines. Free arrows are also provided.


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Versions [RSS] 0.0.1.0, 0.0.2.0, 0.0.3.0, 0.0.4.0, 0.0.4.1, 0.0.4.2, 0.0.4.3, 0.0.4.4, 0.0.4.5 (info)
Change log ChangeLog.md
Dependencies base (>=4.9 && <5), free-algebras (>=0.0.8.0) [details]
License MPL-2.0
Copyright (c) 2018-2019 Marcin Szamotulski
Author Marcin Szamotulski
Maintainer profunctor@pm.me
Category Algebra, Control, Monads, Category
Home page https://github.com/coot/free-category#readme
Bug tracker https://github.com/coot/free-category/issues
Source repo head: git clone https://github.com/coot/free-category
Uploaded by coot at 2019-12-06T11:57:32Z
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Reverse Dependencies 1 direct, 0 indirect [details]
Downloads 2517 total (30 in the last 30 days)
Rating 2.0 (votes: 1) [estimated by Bayesian average]
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Status Docs available [build log]
Last success reported on 2019-12-06 [all 1 reports]

Readme for free-category-0.0.4.1

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Free Category

Maintainer: coot CircleCI

This package contains efficient implementations of free categories. There are various representations available:

  • real-time queues (C. Okasaki 'Pure Functional Data Structures')
  • type aligned lists
  • continuation passing style (Church encoding)

Free arrows and free Kleisli categories are also included.

Free categories are useful to model state machines in a simple yet type safe manner. For that purpose Kleisli categories are a very useful target which allows to include monadic computations. This package contains a useful generalisation of Kliesli categories captured by EffectCategory class (categories with effects), and a (free) transformer which lifts a category to a category with effects.

Benchmarks

Check performance characteristics of various representations:

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