Personal tools

User:Zzo38/Proposal for additional kinds

From HaskellWiki

< User:Zzo38(Difference between revisions)
Jump to: navigation, search
(One intermediate revision by one user not shown)

Latest revision as of 20:18, 12 January 2012

This document is proposal about additional kinds.


[edit] 1 New kinds

##      -- New name for (#) kind (although (#) is available for compatibility)
&       -- Kind for classes
+       -- Kind for type-level natural numbers
$       -- Means make up a kind from a Template Haskell code

[edit] 2 Kind of classes


* -> & -- Kind of Eq class.
(* -> *) -> & -- Kind of Monad class.
(* -> &) -> & -- Class of classes.
+ -> * -> & -- Infinite series of classes, selected by a natural number.

[edit] 3 Natural number kind

If a type requires a parameter, it can be a + kind, meaning numbers.

There should be some way to specify a type taking natural numbers by defining it for zero and them for a successor, so that it applies for all natural numbers.

It also means a type of kind + -> + -> + can be a type of adding numbers or other stuff like that, too.

A natural number type would be a type with the number of values being that number, for example 4 is Maybe (Maybe (Maybe (Maybe Zero))), and (->) would be the type for a array with a specific number of elements fixed by the type.

[edit] 4 See also