diff options
| author | Vincent Semeria | 2019-07-18 20:33:11 +0200 |
|---|---|---|
| committer | Vincent Semeria | 2019-07-18 20:33:11 +0200 |
| commit | a1359ffb3d95686f6176b1d4a893f16252fc745c (patch) | |
| tree | 3108db2a49da4630378ca3b398d4fecd511a76f6 /doc | |
| parent | d92c1fd7e17237652fd84e353a68cf776dc09563 (diff) | |
Shorten changelog
Diffstat (limited to 'doc')
| -rw-r--r-- | doc/changelog/10-standard-library/10445-constructive-reals.rst | 24 |
1 files changed, 3 insertions, 21 deletions
diff --git a/doc/changelog/10-standard-library/10445-constructive-reals.rst b/doc/changelog/10-standard-library/10445-constructive-reals.rst index dc5c97f895..d69056fc2f 100644 --- a/doc/changelog/10-standard-library/10445-constructive-reals.rst +++ b/doc/changelog/10-standard-library/10445-constructive-reals.rst @@ -6,25 +6,7 @@ Futhermore, the new axioms for classical real numbers include the limited principle of omniscience (`sig_forall_dec`), which is a logical principle - instead of an ad hoc property of the real numbers. In a future pull request - we propose to deduce the other axiom, `completeness`, from the logical - principle `sig_not_dec` (see `Reals.Rlogic`), which is the excluded middle - of negations in sort `Type`. + instead of an ad hoc property of the real numbers. - If we want the axioms to be completely logical, we could also replace the - quotient axioms by functional extensionality, which gives the correct - equality to the equivalences classes represented as `bool`-valued functions - (also using Hedberg to get the unicity of proofs that those functions - are indeed equivalence classes). However that last part is not - completely backward compatible : it assumes funext, which is more - powerful than ad hoc quotient axioms. - - Future work includes the development of constructive analysis, by - moving the constructive lemmas in new modules (see `Reals.RIneq_constr`), - and by interfacing tighter with libraries C-CoRN and math-classes. - Since the constructive definitions are weaker, this will require - to adapt the definitions in some places. We also need to work on - efficient extractions of constructive real numbers, so that we can - compute them in practice. - - See `#10445 <https://github.com/coq/coq/pull/10445>`_, by Vincent Semeria. + See `#10445 <https://github.com/coq/coq/pull/10445>`_, by Vincent Semeria, + with the help and review of Guillaume Melquiond and Bas Spitters. |
