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documentation)
This commit r14895 comes apparently itself from commit r12010 in branch v8.2
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Renamed Fan.v into WeakFan.v since this was a proof of Weak Fan Theorem
after all.
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- The earlier proof-of-concept file NPeano (which instantiates
the "Numbers" framework for nat) becomes now the entry point
in the Arith lib, and gets renamed PeanoNat. It still provides
an inner module "Nat" which sums up everything about type nat
(functions, predicates and properties of them).
This inner module Nat is usable as soon as you Require Import Arith,
or just Arith_base, or simply PeanoNat.
- Definitions of operations over type nat are now grouped in a new
file Init/Nat.v. This file is meant to be used without "Import",
hence providing for instance Nat.add or Nat.sqrt as soon as coqtop
starts (but no proofs about them).
- The definitions that used to be in Init/Peano.v (pred, plus, minus, mult)
are now compatibility notations (for Nat.pred, Nat.add, Nat.sub, Nat.mul
where here Nat is Init/Nat.v).
- This Coq.Init.Nat module (with only pure definitions) is Include'd
in the aforementioned Coq.Arith.PeanoNat.Nat. You might see Init.Nat
sometimes instead of just Nat (for instance when doing "Print plus").
Normally it should be ok to just ignore these "Init" since
Init.Nat is included in the full PeanoNat.Nat. I'm investigating if
it's possible to get rid of these "Init" prefixes.
- Concerning predicates, orders le and lt are still defined in Init/Peano.v,
with their notations "<=" and "<". Properties in PeanoNat.Nat directly
refer to these predicates in Peano. For instantation reasons, PeanoNat.Nat
also contains a Nat.le and Nat.lt (defined via "Definition le := Peano.le",
we cannot yet include an Inductive to implement a Parameter), but these
aliased predicates won't probably be very convenient to use.
- Technical remark: I've split the previous property functor NProp in
two parts (NBasicProp and NExtraProp), it helps a lot for building
PeanoNat.Nat incrementally. Roughly speaking, we have the following schema:
Module Nat.
Include Coq.Init.Nat. (* definition of operations : add ... sqrt ... *)
... (** proofs of specifications for basic ops such as + * - *)
Include NBasicProp. (** generic properties of these basic ops *)
... (** proofs of specifications for advanced ops (pow sqrt log2...)
that may rely on proofs for + * - *)
Include NExtraProp. (** all remaining properties *)
End Nat.
- All other files in directory Arith are now taking advantage of PeanoNat :
they are now filled with compatibility notations (when earlier lemmas
have exact counterpart in the Nat module) or lemmas with one-line proofs
based on the Nat module. All hints for database "arith" remain declared
in these old-style file (such as Plus.v, Lt.v, etc). All the old-style
files are still Require'd (or not) by Arith.v, just as before.
- Compatibility should be almost complete. For instance in the stdlib,
the only adaptations were due to .ml code referring to some Coq constant
name such as Coq.Init.Peano.pred, which doesn't live well with the
new compatibility notations.
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- Fix hasheq which didn't have a case for Proj making hashconsing exponentially slower.
Conflicts:
kernel/constr.ml
kernel/univ.ml
proofs/proof_global.ml
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16557 85f007b7-540e-0410-9357-904b9bb8a0f7
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Coqdoc converts the utf8 symbol lambda (that appears in Utf8_core.v) to
itself when outputting utf8. Since Library.tex uses utf8x as the input
encoding, it gets translated to \textlambda. This command is defined by
both the LGR font encoding and the tipa package, and only by them. So the
build fails.
There are several solutions:
1. \usepackage[mathletters]{ucs}
2. \usepackage[T1,LGR]{fontenc}
3. \usepackage{tipa}
4. modify coqdoc
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15807 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15755 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15632 85f007b7-540e-0410-9357-904b9bb8a0f7
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After discovering a rewrite in Ergo that takes a loooong time due
to a bad interaction with the instances of Permutation and PermutationA :
- PermutationA is now in a separate file SetoidPermutation
- File Permutation.v isn't Require'd by SetoidList anymore
nor MergeSort.v, just the definitions in Sorted.v
- Attempt to put a priority on these instances.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15584 85f007b7-540e-0410-9357-904b9bb8a0f7
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One slight point to check someday : fourier used to
launch a tactic called Ring.polynom in some cases.
It it crucial ? If so, how to replace with the setoid_ring
equivalent ?
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15524 85f007b7-540e-0410-9357-904b9bb8a0f7
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arc tangent and computations of PI approximations
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15436 85f007b7-540e-0410-9357-904b9bb8a0f7
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Initial contribution by Andrew Appel, many ulterior modifications
by myself.
Interest: red-black trees maintain logarithmic depths as AVL,
but they do not rely on integer height annotations as AVL,
allowing interesting performance when computing in Coq or after
standard extraction. More on this topic in the article by A. Appel.
The common parts of MSetAVL and MSetRBT are shared in a new file
MSetGenTree which include the definition of tree and functions
such as mem fold elements compare subset.
Note that the height of AVL trees is now the first arg of the
Node constructor instead of the last one.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15168 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Made generation of index page fail if a file is missing in list or
listed but unbound in existing theories
- Added a file hidden-files to optionally list library files not to show
in the index page (though it is currently empty)
- Added directory Unicode (why not to have it after all?)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14957 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14955 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14255 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14112 85f007b7-540e-0410-9357-904b9bb8a0f7
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probably inadvertantly since it is not reported in the commit log.
(Thanks to Cédric who noticed it.)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13877 85f007b7-540e-0410-9357-904b9bb8a0f7
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This library is no longer used anywhere, and its contents is
very... let's say historical... More seriously, many (and presumably
the most useful) stuff that used to be there are in List, now.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13828 85f007b7-540e-0410-9357-904b9bb8a0f7
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See NatInt/NZBits.v for the common axiomatization of bitwise functions
over naturals / integers. Some specs aren't pretty, but easier to
prove, see alternate statements in property functors {N,Z}Bits.
Negative numbers are considered via the two's complement convention.
We provide implementations for N (in Ndigits.v), for nat (quite dummy,
just for completeness), for Z (new file Zdigits_def), for BigN
(for the moment partly by converting to N, to be improved soon)
and for BigZ.
NOTA: For BigN.shiftl and BigN.shiftr, the two arguments are now in
the reversed order (for consistency with the rest of the world):
for instance BigN.shiftl 1 10 is 2^10.
NOTA2: Zeven.Zdiv2 is _not_ doing (Zdiv _ 2), but rather (Zquot _ 2)
on negative numbers. For the moment I've kept it intact, and have
just added a Zdiv2' which is truly equivalent to (Zdiv _ 2).
To reorganize someday ?
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13689 85f007b7-540e-0410-9357-904b9bb8a0f7
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(floor convention).
We follow Haskell naming convention: quot and rem are for
Round-Toward-Zero (a.k.a Trunc, what Ocaml, C, Asm do by default, cf.
the ex-ZOdiv file), while div and mod are for Round-Toward-Bottom
(a.k.a Floor, what Coq does historically in Zdiv). We use unicode ÷
for quot, and infix rem for rem (which is actually remainder in
full). This way, both conventions can be used at the same time.
Definitions (and proofs of specifications) for div mod quot rem are
migrated in a new file Zdiv_def. Ex-ZOdiv file is now Zquot. With
this new organisation, no need for functor application in Zdiv and
Zquot.
On the abstract side, ZAxiomsSig now provides div mod quot rem.
Zproperties now contains properties of them. In NZDiv, we stop
splitting specifications in Common vs. Specific parts. Instead,
the NZ specification is be extended later, even if this leads to
a useless mod_bound_pos, subsumed by more precise axioms.
A few results in ZDivTrunc and ZDivFloor are improved (sgn stuff).
A few proofs in Nnat, Znat, Zabs are reworked (no more dependency
to Zmin, Zmax).
A lcm (least common multiple) is derived abstractly from gcd and
division (and hence available for nat N BigN Z BigZ :-).
In these new files NLcm and ZLcm, we also provide some combined
properties of div mod quot rem gcd.
We also provide a new file Zeuclid implementing a third division
convention, where the remainder is always positive. This file
instanciate the abstract one ZDivEucl. Operation names are
ZEuclid.div and ZEuclid.modulo.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13633 85f007b7-540e-0410-9357-904b9bb8a0f7
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- For nat, we create a brand-new gcd function, structural in
the sense of Coq, even if it's Euclid algorithm. Cool...
- We re-organize the Zgcd that was in Znumtheory, create out of it
files Pgcd, Ngcd_def, Zgcd_def. Proofs of correctness are revised
in order to be much simpler (no omega, no advanced lemmas of
Znumtheory, etc).
- Abstract Properties NZGcd / ZGcd / NGcd could still be completed,
for the moment they contain up to Gauss thm. We could add stuff
about (relative) primality, relationship between gcd and div,mod,
or stuff about parity, etc etc.
- Znumtheory remains as it was, apart for Zgcd and correctness proofs
gone elsewhere. We could later take advantage of ZGcd in it.
Someday, we'll have to switch from the current Zdivide inductive,
to Zdivide' via exists. To be continued...
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13623 85f007b7-540e-0410-9357-904b9bb8a0f7
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Btw, we finally declare the original Zpower as the power on Z.
We should switch to a more efficient one someday, but in the
meantime BigN is proved with respect to the old one.
TODO: reform Zlogarithm with respect to Zlog_def
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13606 85f007b7-540e-0410-9357-904b9bb8a0f7
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Beware! after this, a ./configure must be done. It might also
be a good idea to chase any phantom .vo remaining after a make clean
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13601 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13472 85f007b7-540e-0410-9357-904b9bb8a0f7
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Contributed by Alexandre Ren, Damien Pous, and Thomas Braibant.
I've also included a MSets version, hence FSetPositive might become
soon a mere wrapper for MSetPositive, as for other FSets
implementations.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13287 85f007b7-540e-0410-9357-904b9bb8a0f7
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This is a slightly modified version of the patch proposed in #2332
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13209 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Many of them were broken, some of them after Pierre B's rework
of mli for ocamldoc, but not only (many bad annotation, many files
with no svn property about Id, etc)
- Useless for those of us that work with git-svn (and a fortiori
in a forthcoming git-only setting)
- Even in svn, they seem to be of little interest
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12972 85f007b7-540e-0410-9357-904b9bb8a0f7
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1) compilation of Library.tex was failing on a "Ext_" in Diaconescu.v
In fact coqdoc was trying to recognize the end of a _emphasis_ and
hence inserted a bogus }. For the moment I've enclosed the phrase
with [ ], but this emphasis "feature" of coqdoc seems _really_
easy to broke. Matthieu ?
2) By the way, this Library document was made from latin1 and utf8
source file, hence bogus characters. All .v containing special
characters are converted to utf8, and their first line is now
mentionning this. (+ killed some old french comments and some
other avoidable special characters).
PLEASE: let's stick to this convention and avoid latin1, at least
in .v files.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12363 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12339 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Adding ability to use "_" in syntax for binders (as in "exists _:nat, True").
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11804 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Filtering of doc compilation messages (11793,11795,11796).
- Fixing bug #1925 and cleaning around bug #1894 (11796, 11801).
- Adding some tests.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11802 85f007b7-540e-0410-9357-904b9bb8a0f7
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- correct nesting of a and div (fixes bug #2022)
- use span instead of div for inline parts
- fix standard lib template missing/new links
- use -g to produce the stdlib doc (no proofs)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11724 85f007b7-540e-0410-9357-904b9bb8a0f7
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principaux changements sont:
- coqtop (et coqc) maintenant insensible aux variables
d'environnement COQTOP, COQBIN et COQLIB; le chemin vers les
librairies Coq peut être spécifié par l'option -coqlib
- coqmktop prend 4 nouvelles options: -boot, -coqlib, -camlbin et
-camlp4bin; en mode boot, coqmktop se réfère à Coq_config pour les
chemins des exécutables OCaml; en dehors du mode boot, coqmktop
cherche les exécutables OCaml dans PATH
- installation des *.cmxs *.o et *.a en plus des *.cm[ioxa]; ceux-ci
étant installé en copiant l'architecture des sources (ie lib.cmxa
est installé dans COQLIB/lib/lib.cmxa)
- coq_makefile prend maintenant 3 paramètres sous forme de variables
d'environnement: COQBIN pour dire où trouver les exécutables Coq,
CAMLBIN et CAMLP4BIN pour les exécutables OCaml et Camlp4/5; les
chemins vers les librairies sont déduits en utilisant -where
Le tout a testé avec Ssreflect (cf coq-contribs) en essayant de
simuler les conditions de la vie réelle (Ocaml pas dans le PATH,
installation binaire relocalisée, ...).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11707 85f007b7-540e-0410-9357-904b9bb8a0f7
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- New "color" option to the coqdoc latex style file to typeset
using the xcolor package, still following the McBride convention.
- Work on proper indentation and spacing of output code and allow
users to customise indentation (setting a base indentation length)
and line skips for empty lines of code.
- Also add new environments to distinguish code and documentation,
doing nothing right now.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11491 85f007b7-540e-0410-9357-904b9bb8a0f7
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Hints from compilation warnings
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11411 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11091 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11067 85f007b7-540e-0410-9357-904b9bb8a0f7
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Debug handling of identifiers in coqdoc (should work with modules and
sections) and add missing macros.
Move theories/Program to THEORIESVO to put the files in the standard
library documentation.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11046 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10986 85f007b7-540e-0410-9357-904b9bb8a0f7
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