User:Zzo38/Proposal for additional kinds: Difference between revisions
No edit summary |
No edit summary |
||
Line 18: | Line 18: | ||
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. | 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 <tt>+ -> + -> +</tt> can be a type of adding numbers or other stuff like that, too. | |||
[[Category:Proposals]] | [[Category:Proposals]] |
Revision as of 20:38, 3 September 2011
This document is proposal about additional kinds.
New kinds
## -- New name for (#) kind (although (#) is available for compatibility) [x] -- If x is a kind, [x] is the kind of classes of types of kind x + -- Kind for type-level natural numbers
Kind of classes
Example:
[*] -- Kind of Eq class. [* -> *] -- Kind of Monad class. * -> [*] -- A class that requires a type as a parameter to make a class. [[*]] -- Class of classes.
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.