# User:Zzo38/Proposal for additional kinds

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< User:Zzo38(Difference between revisions)

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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.

## 1 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

## 2 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.

## 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.