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GHC typechecker plugin for types of kind GHC.TypeLits.Nat; documentation

A type checker plugin for GHC that can solve equalities and inequalities of types of kind @Nat@, where these types are either: 

  * Type-level naturals


  * Type variables


  * Applications of the arithmetic expressions (+,-,*,^).

It solves these equalities by normalising them to sort-of SOP (Sum-of-Products) form, and then perform a simple syntactic equality.

For example, this solver can prove the equality between:

(x + 2)^(y + 2)

and

4*x*(2 + x)^y + 4*(2 + x)^y + (2 + x)^y*x^2

Because the latter is actually the SOP normal form of the former.

To use the plugin, add the

OPTIONS_GHC -fplugin GHC.TypeLits.Normalise

Pragma to the header of your file.

This package provides the documentation for a library for the Haskell programming language. See http://www.haskell.org/ for more information on Haskell.

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