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Free categories, free arrows and free categories with monadic actions
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Free Category
This package contains efficient free category using realtime queues (C. Okasaki 'Pure Functional Data Structures') and another one using CPS style. Also free arrows are included and free Kleisli categories.
Free categories are useful to model state machines in a simple yet type safe
way and for that purpose Kleisli
categroies are a very useful target which
allows to include monadic computations. This packge contains a useful
generalisation of Kliesli
categories captured by EffCategory
class
(effectful categories), and a (free) transformer which lifts a category to
an effectful one.
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 Keleisli categories.