type-level-sets: Type-level sets and finite maps (with value-level counterparts and various operations)

This package provides type-level sets (no duplicates, sorted to provide a normal form) via Set and type-level maps via Map, with value-level counterparts.

Described in the paper "Embedding effect systems in Haskell" by Dominic Orchard and Tomas Petricek http://www.cl.cam.ac.uk/~dao29/publ/haskell14-effects.pdf (Haskell Symposium, 2014)

Here is a brief example:

import Data.Type.Map

foo :: Set '["x" :-> Int, "z" :-> Int, "w" :-> Int]
foo = Ext ((Var :: (Var "x")) :-> 2) $
        Ext ((Var :: (Var "z")) :-> 4) $
          Ext ((Var :: (Var "w")) :-> 5) $
            Empty

bar :: Set '["y" :-> Int, "w" :-> Int]
bar = Ext ((Var :: (Var "y")) :-> 3) $
        Ext ((Var :: (Var "w")) :-> 1) $
          Empty

-- foobar :: Set '["w" :-> Int, "x" :-> Int, "y" :-> Int, "z" :-> Int]
foobar = foo `union` bar

The Set type for foobar here shows the normalised form (sorted with no duplicates). The type signatures is commented out as it can be infered. Running the example we get:

>>> foobar
[(Var :-> 1), (Var :-> 2), (Var :-> 3), (Var :-> 4)]

Thus, we see that the first value paired with the "w" variable is dropped.

Modules

[Index]

Downloads

• type-level-sets-0.6.tar.gz [browse] (Cabal source package)
• Package description (as included in the package)

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Package maintainers

• DominicOrchard

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Candidates

• 0.5, 0.7, 0.8.0.0, 0.8.9.0