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Free categories, free arrows and free categories with monadic actions
.circleci | ||
bench | ||
examples | ||
nix | ||
src/Control | ||
test | ||
.travis.yml | ||
bench-cats.hp | ||
bench-cats.prof | ||
bench-cats.svg | ||
cabal.project | ||
ChangeLog.md | ||
default.nix | ||
free-category.cabal | ||
LICENSE | ||
README.md | ||
release.nix | ||
shell.nix |
Free Category
This package contains efficient implementation of free categories. There are various resentations available:
- real-time queues (C. Okasaki 'Pure Functional Data Structures')
- type aligned lists
- continuation passing style
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 presentations free categories:
Some examples
- LoginStateMachine:
based on State Machines All The Way
Down by Edwin Bradly, 2017 You
can run it with
cabal new-run examples:login-state-machine
. - Read more here on a simple example of a finite state machine encoded using a free category using a simple GADT.
- Another example.
- Blog post on Kleisli categories.