|
|
last edited 16 years ago by Bill Page |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | ||
Editor: Bill Page
Time: 2008/07/08 06:53:30 GMT-7 |
||
Note: Each value belongs to ... its domain |
added:
From BillPage Tue Jul 8 06:53:30 -0700 2008
From: Bill Page
Date: Tue, 08 Jul 2008 06:53:30 -0700
Subject: Each value belongs to ... its domain
Message-ID: <20080708065330-0700@axiom-wiki.newsynthesis.org>
In
- http://www.csd.uwo.ca/~watt/pub/reprints/2003-cahand-aldor.pdf
*Stephen Watt wrote:* --
Each value belongs to some unique type, known as its domain, and the
domains of expressions can be inferred statically. Each domain is
itself a value belonging to the domain Type. Domains may additionally
belong to some number of subtypes (of Type), known as categories.
There seems to be different understandings of Type, domain, category, Category, etc. around. Here is an attempt to collect all these different opinions in order to make discussion about them clearer.
A category is an L-type whose type is the language-defined constant Category
.
A domain is an L-type whose type is a category.
An L-type is either a category, a domain or the language-defined constants Category
and Type
.
Any L-type is of type Type
.
I wrote L-type to mean type in the language, either Aldor or SPAD.