Skip to content
GitLab
Projects
Groups
Snippets
Help
Loading...
Help
What's new
7
Help
Support
Community forum
Keyboard shortcuts
?
Submit feedback
Contribute to GitLab
Sign in / Register
Toggle navigation
Open sidebar
George Pirlea
Iris
Commits
be549d5a
Commit
be549d5a
authored
Feb 16, 2016
by
Ralf Jung
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
add a comment about the OFE vs COFE situation
parent
24a71fb3
Changes
1
Hide whitespace changes
Inline
Side-by-side
Showing
1 changed file
with
19 additions
and
0 deletions
+19
-0
algebra/cofe.v
algebra/cofe.v
+19
-0
No files found.
algebra/cofe.v
View file @
be549d5a
From
algebra
Require
Export
base
.
(** This files defines (a shallow embedding of) the category of COFEs:
Complete ordered families of equivalences. This is a cartesian closed
category, and mathematically speaking, the entire development lives
in this category. However, we will generally prefer to work with raw
Coq functions plus some registered Proper instances for non-expansiveness.
This makes writing such functions much easier. It turns out that it many
cases, we do not even need non-expansiveness.
In principle, it would be possible to perform a large part of the
development on OFEs, i.e., on bisected metric spaces that are not
necessary complete. This is because the function space A → B has a
completion if B has one - for A, the metric itself suffices.
That would result in a simplification of some constructions, becuase
no completion would have to be provided. However, on the other hand,
we would have to introduce the notion of OFEs into our alebraic
hierarchy, which we'd rather avoid. Furthermore, on paper, justifying
this mix of OFEs and COFEs is a little fuzzy.
*)
(** Unbundeled version *)
Class
Dist
A
:
=
dist
:
nat
→
relation
A
.
Instance
:
Params
(@
dist
)
3
.
...
...
Write
Preview
Markdown
is supported
0%
Try again
or
attach a new file
.
Attach a file
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Cancel
Please
register
or
sign in
to comment