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c9b20911e1
I'm playing with some linear structures and finding these useful a lot, so good to have a consistent syntax for it. '#' is chosen because it's short, looks a bit like a cross if you look at it from the right angle (!) and so as not to clash with '@@' in preorder reasoning syntax.
33 lines
852 B
Idris
33 lines
852 B
Idris
module Linear
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public export
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data Usage = Once | Many
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public export
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data Use : Usage -> (Type -> Type) -> Type -> Type where
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Pure : (1 x : a) -> Use t m a
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BindOnce : (1 act : Use Once m a) -> (1 k : (1 x : a) -> Use t m b) -> Use t m b
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BindMany : (1 act : Use Many m a) -> (1 k : (x : a) -> Use t m b) -> Use t m b
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public export
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contType : (Type -> Type) -> Usage -> Usage -> Type -> Type -> Type
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contType m Once q a b = ((1 x : a) -> Use q m b)
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contType m Many q a b = ((x : a) -> Use q m b)
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public export
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(>>=) : {p : _} -> (1 f : Use p m a) -> (1 k : contType m p q a b) -> Use q m b
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(>>=) {p = Once} = BindOnce
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(>>=) {p = Many} = BindMany
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public export
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pure : (1 x : a) -> Use t m a
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pure = Pure
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public export
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One : (Type -> Type) -> Type -> Type
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One = Use Once
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public export
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Any : (Type -> Type) -> Type -> Type
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Any = Use Many
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