Type kind error when creating instance of Functor typeclass





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I'm trying to implement Functor typeclass instance for a very trivial type Foo:



data Foo a = Foo a

instance functorFoo :: Functor (Foo a) where
map fn (Foo a) = Foo (fn a)


Purescript gives me not-so-helpful error message:



Could not match kind

Type -> Type

with kind

Type


What does it mean? I'm not yet really familiar with the Kind-system.










share|improve this question





























    0















    I'm trying to implement Functor typeclass instance for a very trivial type Foo:



    data Foo a = Foo a

    instance functorFoo :: Functor (Foo a) where
    map fn (Foo a) = Foo (fn a)


    Purescript gives me not-so-helpful error message:



    Could not match kind

    Type -> Type

    with kind

    Type


    What does it mean? I'm not yet really familiar with the Kind-system.










    share|improve this question

























      0












      0








      0








      I'm trying to implement Functor typeclass instance for a very trivial type Foo:



      data Foo a = Foo a

      instance functorFoo :: Functor (Foo a) where
      map fn (Foo a) = Foo (fn a)


      Purescript gives me not-so-helpful error message:



      Could not match kind

      Type -> Type

      with kind

      Type


      What does it mean? I'm not yet really familiar with the Kind-system.










      share|improve this question














      I'm trying to implement Functor typeclass instance for a very trivial type Foo:



      data Foo a = Foo a

      instance functorFoo :: Functor (Foo a) where
      map fn (Foo a) = Foo (fn a)


      Purescript gives me not-so-helpful error message:



      Could not match kind

      Type -> Type

      with kind

      Type


      What does it mean? I'm not yet really familiar with the Kind-system.







      typeclass functor purescript






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Nov 22 '18 at 12:14









      Rene SaarsooRene Saarsoo

      9,16884567




      9,16884567
























          2 Answers
          2






          active

          oldest

          votes


















          2















          But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.




          Let's look at the definition of the Functor type class:



          class Functor f where
          map :: forall a b. (a -> b) -> f a -> f b


          It contains f a and f b types in the type signature of map which clearly indicates that f is of kind Type -> Type (it "carries" another type). On the other hand Semigroup clearly relates to plain types of kind Type:



          class Semigroup a where
          append :: a -> a -> a


          So Semigroup is a class which can be defined for plain types like String, Int, List a, Map k v or even a function a -> b (which can also be written as (->) a b) but not type constructors which require another type like List Map k (->) a (I have to use this notation here).



          On the other hand Functor class requires type constructors so you can have instances like Functor List, Functor (Map k) or Functor ((->) a).






          share|improve this answer


























          • Thanks for a through explanation. Much appreciated!

            – Rene Saarsoo
            Nov 23 '18 at 7:43



















          0














          I found a solution. Instead of defining it as:



          instance functorFoo :: Functor (Foo a) where


          I need to define it as:



          instance functorFoo :: Functor Foo where


          But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.






          share|improve this answer
























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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2















            But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.




            Let's look at the definition of the Functor type class:



            class Functor f where
            map :: forall a b. (a -> b) -> f a -> f b


            It contains f a and f b types in the type signature of map which clearly indicates that f is of kind Type -> Type (it "carries" another type). On the other hand Semigroup clearly relates to plain types of kind Type:



            class Semigroup a where
            append :: a -> a -> a


            So Semigroup is a class which can be defined for plain types like String, Int, List a, Map k v or even a function a -> b (which can also be written as (->) a b) but not type constructors which require another type like List Map k (->) a (I have to use this notation here).



            On the other hand Functor class requires type constructors so you can have instances like Functor List, Functor (Map k) or Functor ((->) a).






            share|improve this answer


























            • Thanks for a through explanation. Much appreciated!

              – Rene Saarsoo
              Nov 23 '18 at 7:43
















            2















            But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.




            Let's look at the definition of the Functor type class:



            class Functor f where
            map :: forall a b. (a -> b) -> f a -> f b


            It contains f a and f b types in the type signature of map which clearly indicates that f is of kind Type -> Type (it "carries" another type). On the other hand Semigroup clearly relates to plain types of kind Type:



            class Semigroup a where
            append :: a -> a -> a


            So Semigroup is a class which can be defined for plain types like String, Int, List a, Map k v or even a function a -> b (which can also be written as (->) a b) but not type constructors which require another type like List Map k (->) a (I have to use this notation here).



            On the other hand Functor class requires type constructors so you can have instances like Functor List, Functor (Map k) or Functor ((->) a).






            share|improve this answer


























            • Thanks for a through explanation. Much appreciated!

              – Rene Saarsoo
              Nov 23 '18 at 7:43














            2












            2








            2








            But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.




            Let's look at the definition of the Functor type class:



            class Functor f where
            map :: forall a b. (a -> b) -> f a -> f b


            It contains f a and f b types in the type signature of map which clearly indicates that f is of kind Type -> Type (it "carries" another type). On the other hand Semigroup clearly relates to plain types of kind Type:



            class Semigroup a where
            append :: a -> a -> a


            So Semigroup is a class which can be defined for plain types like String, Int, List a, Map k v or even a function a -> b (which can also be written as (->) a b) but not type constructors which require another type like List Map k (->) a (I have to use this notation here).



            On the other hand Functor class requires type constructors so you can have instances like Functor List, Functor (Map k) or Functor ((->) a).






            share|improve this answer
















            But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.




            Let's look at the definition of the Functor type class:



            class Functor f where
            map :: forall a b. (a -> b) -> f a -> f b


            It contains f a and f b types in the type signature of map which clearly indicates that f is of kind Type -> Type (it "carries" another type). On the other hand Semigroup clearly relates to plain types of kind Type:



            class Semigroup a where
            append :: a -> a -> a


            So Semigroup is a class which can be defined for plain types like String, Int, List a, Map k v or even a function a -> b (which can also be written as (->) a b) but not type constructors which require another type like List Map k (->) a (I have to use this notation here).



            On the other hand Functor class requires type constructors so you can have instances like Functor List, Functor (Map k) or Functor ((->) a).







            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited Nov 24 '18 at 23:03

























            answered Nov 22 '18 at 22:36









            paluhpaluh

            1,6111611




            1,6111611













            • Thanks for a through explanation. Much appreciated!

              – Rene Saarsoo
              Nov 23 '18 at 7:43



















            • Thanks for a through explanation. Much appreciated!

              – Rene Saarsoo
              Nov 23 '18 at 7:43

















            Thanks for a through explanation. Much appreciated!

            – Rene Saarsoo
            Nov 23 '18 at 7:43





            Thanks for a through explanation. Much appreciated!

            – Rene Saarsoo
            Nov 23 '18 at 7:43













            0














            I found a solution. Instead of defining it as:



            instance functorFoo :: Functor (Foo a) where


            I need to define it as:



            instance functorFoo :: Functor Foo where


            But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.






            share|improve this answer




























              0














              I found a solution. Instead of defining it as:



              instance functorFoo :: Functor (Foo a) where


              I need to define it as:



              instance functorFoo :: Functor Foo where


              But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.






              share|improve this answer


























                0












                0








                0







                I found a solution. Instead of defining it as:



                instance functorFoo :: Functor (Foo a) where


                I need to define it as:



                instance functorFoo :: Functor Foo where


                But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.






                share|improve this answer













                I found a solution. Instead of defining it as:



                instance functorFoo :: Functor (Foo a) where


                I need to define it as:



                instance functorFoo :: Functor Foo where


                But I'd still like to find out why does the first version not work. Like how does the Functor typeclass differ from e.g. Semigroup where the first version worked just fine.







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered Nov 22 '18 at 12:22









                Rene SaarsooRene Saarsoo

                9,16884567




                9,16884567






























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