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substitution of evars when solving equation "?n[subst] = t": this is a
quite common useful heuristic for inferring the return predicate of "match".
Made incidentally a minor simplification of expand_full_opt.
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Use two ways to solve it:
- added a whd_betaiota in solve_simple_eqn (since evarconv itself
refuses beta to preserve the opportunities of first-order-matching
expressions of the form "(fun x => P) t"; an advantage of this
whd_betaiota is also that it may simplify K-redexes.
- also added a last-chance test in case of failing occur-check by
trying to fully head-normalize (with delta) the right-hand-side
(allows to solve for instance "?n = id ?n" where id is a constant
(a bridled form of solve_refl that use fconv instead of evar_conv_x).
Incidentally improved a bit the rendering of the type of generalized
terms in pattern-matching by using whd_betaiota.
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evar_map into a map for defined evars and a map for undefined evars.
Even before Spiwack's new proof engine, some Evd.fold were very
costly, e.g. in check_evars or progress_evar_map. With the new proof
engine, undefined evars traversals are apparently even more common (at
least, it improves significantly the complexity of some calls to omega
in JordanCurveTheorem - a new factor 5-7 after the factor 5-6 obtained
by removal of evar_merge in clenv_fchain in commit 13007, arriving to
figures comparable to the 8.3 ones).
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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
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This is a fairly large commit (around 140 files and 7000 lines of code
impacted), it will cause some troubles for sure (I've listed the know
regressions below, there is bound to be more).
At this state of developpement it brings few features to the user, as
the old tactics were
ported with no change. Changes are on the side of the developer mostly.
Here comes a list of the major changes. I will stay brief, but the code
is hopefully well documented so that it is reasonably easy to infer the
details from it.
Feature developer-side:
* Primitives for a "real" refine tactic (generating a goal for each
evar).
* Abstract type of tactics, goals and proofs
* Tactics can act on several goals (formally all the focused goals). An
interesting consequence of this is that the tactical (. ; [ . | ... ])
can be separated in two
tacticals (. ; .) and ( [ . | ... ] ) (although there is a conflict for
this particular syntax). We can also imagine a tactic to reorder the
goals.
* Possibility for a tactic to pass a value to following tactics (a
typical example is
an intro function which tells the following tactics which name it
introduced).
* backtracking primitives for tactics (it is now possible to implement a
tactical '+'
with (a+b);c equivalent to (a;c+b;c) (itself equivalent to
(a;c||b;c)). This is a valuable
tool to implement tactics like "auto" without nowing of the
implementation of tactics.
* A notion of proof modes, which allows to dynamically change the parser
for tactics. It is controlled at user level with the keywords Set
Default Proof Mode (this is the proof mode which is loaded at the start
of each proof) and Proof Mode (switches the proof mode of the current
proof) to control them.
* A new primitive Evd.fold_undefined which operates like an Evd.fold,
except it only goes through the evars whose body is Evar_empty. This is
a common operation throughout the code,
some of the fold-and-test-if-empty occurences have been replaced by
fold_undefined. For now,
it is only implemented as a fold-and-test, but we expect to have some
optimisations coming some day, as there can be a lot of evars in an
evar_map with this new implementation (I've observed a couple of
thousands), whereas there are rarely more than a dozen undefined ones.
Folding being a linear operation, this might result in a significant
speed-up.
* The declarative mode has been moved into the plugins. This is made
possible by the proof mode feature. I tried to document it so that it
can serve as a tutorial for a tactic mode plugin.
Features user-side:
* Unfocus does not go back to the root of the proof if several Focus-s
have been performed.
It only goes back to the point where it was last focused.
* experimental (non-documented) support of keywords
BeginSubproof/EndSubproof:
BeginSubproof focuses on first goal, one can unfocus only with
EndSubproof, and only
if the proof is completed for that goal.
* experimental (non-documented) support for bullets ('+', '-' and '*')
they act as hierarchical BeginSubproof/EndSubproof:
First time one uses '+' (for instance) it focuses on first goal, when
the subproof is
completed, one can use '+' again which unfocuses and focuses on next
first goal.
Meanwhile, one cas use '*' (for instance) to focus more deeply.
Known regressions:
* The xml plugin had some functions related to proof trees. As the
structure of proof changed significantly, they do not work anymore.
* I do not know how to implement info or show script in this new engine.
Actually I don't even know what they were suppose to actually mean in
earlier versions either. I wager they would require some calm thinking
before going back to work.
* Declarative mode not entirely working (in particular proofs by
induction need to be restored).
* A bug in the inversion tactic (observed in some contributions)
* A bug in Program (observed in some contributions)
* Minor change in the 'old' type of tactics causing some contributions
to fail.
* Compilation time takes about 10-15% longer for unknown reasons (I
suspect it might be linked to the fact that I don't perform any
reduction at QED-s, and also to some linear operations on evar_map-s
(see Evd.fold_undefined above)).
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(two typos + failure to preserve the "natural" alias choice that was
made in 8.2 in presence of definitions x:=y where y is inversible
either as x or y, the latter being the "natural" choice).
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Reasoning modulo variable aliases induced an extra lookup in the
environment at each inversion of the components of the evar instances:
precomputing the aliases map allowed to gain a factor n.
Moreover, solve_evar_evar_l2r was recomputing the evar substitution
from the evar instance n more times than needed.
Function solve_evar_evar_l2r is still on O(n^2) but it does not seem
to be used so often actually. The trivial case has been optimized
(linear time) but the general case could probably be also cut down to
O(n*log(n)) if needed.
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We renounced to distribute evars to constr and bindings and to let
tactics do the merge. There are now two disciplines:
- the general case is that the holes in tactic arguments are pushed to
the general sigma of the goal so that tactics have no such low-level
tclEVARS, Evd.merge, or check_evars to do:
- what takes tclEVARS and check_evars in charge is now a new
tactical of name tclWITHHOLES (this tactical has a flag to support
tactics in either the "e"- mode and the non "e"- mode);
- the merge of goal evars and holes is now done generically at
interpretation time (in tacinterp) and as a side-effect it also
anticipates the possibility to refer to evars of the goal in the
arguments;
- with this approach, we don't need such constr/open_constr or
bindings/ebindings variants and we can get rid of all ugly
inj_open-style coercions;
- some tactics however needs to have the exact subset of holes known;
this is the case e.g. of "rewrite !c" which morally reevaluates c at
each new rewriting step; this kind of tactics still receive a
specific sigma around their arguments and they have to merge evars
and call tclWITHHOLES by themselves.
Changes so that each specific tactics can take benefit of this generic
support remain to be done.
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no longer considered a progress (this prepares generally having tactics
with arguments that contains holes that are added to the goal sigma).
Incidentally, made that "clear" now restricts evars only if the
restriction is really needed.
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(rewrote it differently to avoid being trapped again).
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(building an example that needs it to do).
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branch
and remove equations stuff which moves to a separate plugin.
Classes:
- Ability to define classes post-hoc from constants or inductive types.
- Correctly rebuild the hint database associated to local hypotheses when
they are changed by a [Hint Extern] in typeclass resolution.
Tactics and proofs:
- Change [revert] so that it keeps let-ins (but not [generalize]).
- Various improvements to the [generalize_eqs] tactic to make it more robust
and produce the smallest proof terms possible.
Move [specialize_hypothesis] in tactics.ml as it goes hand in hand with
[generalize_eqs].
- A few new general purpose tactics in Program.Tactics like [revert_until]
- Make transitive closure well-foundedness proofs transparent.
- More uniform testing for metas/evars in pretyping/unification.ml
(might introduce a few changes in the contribs).
Program:
- Better sorting of dependencies in obligations.
- Ability to start a Program definition from just a type and no obligations,
automatically adding an obligation for this type.
- In compilation of Program's well-founded definitions, make the functional a
separate definition for easier reasoning.
- Add a hint database for every Program populated by [Hint Unfold]s for
every defined obligation constant.
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term, its type is not the smallest one - actually, we would have to
reduce the term too but it would be more costly).
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inference (see file failure/evar1.v) + fix of some CUMUL problems that
were in the wrong direction. We assume for the fix that ill-typed
unification problems come from subtyping where we don't know yet if a
coercion has to be inserted or not, and hence are of the CUMUL
form. More on suspending problems of the form ?n <= Type or Prop <= ?n
has to be done yet.
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ProjectVar is a constant constructor (anyway, use of _ for constant
constructor was here by mistake).
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evar is dependent or not (solve bug #2123).
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had wrong type). At least two problems remain:
- projection involving evar should check the type are compatible,
- instances of filtered evars should not be shrinked as all values are
needed to ensure the well-typedness of the instanciated restricted evars.
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traînaient un peu partout dans le code depuis la fusion d'evar_map et
evar_defs. Début du travail d'uniformisation des noms donnés aux
evar_defs à travers le code.
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universes as usual, we add the new universes to the sort constraints and
do unification modulo those ([constr_unify_with_sorts]): this allows to
instanciate Type i with Prop for example and keep track of it. The sort
constraints are thrown away at the end of unification for the moment,
but we can detect inconsistencies during unification.
Make unification more symmetric as well w.r.t. substitution of defined
metas.
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- Adding test file related to commit 12080 (bug #2091).
- Cleaning old parsing stuff from 8.0.
- Support for camlp5 in base_include.
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This commit concerns about the first half of the useless code
mentionned by Oug for coqtop (without plugins). For the moment,
Oug is used in a mode where any elements mentionned in a .mli
is considered to be precious. This already allows to detect and
remove about 600 lines, and more is still to come.
Among the interesting points, the type Entries.specification_entry
and its constructors SPExxx were never used. Large parts of cases.ml
(and hence subtac_cases.ml) were also useless.
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it does not cause a time penalty.
- Removing of get_type_of_with_meta made possible by the
evar_defs/evar_map merge.
- Adding unfolding of Meta in reductionops (this assumes that reduction does
not move Metas across binders...)
- Renaming newly created fold_map_rel_context into map_rel_context_in_env.
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- Choose one of the possible instances of an evar when considering
remaining unification constraints: otherwise we just do nothing and
some evars remain uninstantiated.
- Normalise the goal w.r.t. evars before subst, to avoid a double vision
problem: the substituted variable appears only in an instance of an evar
and when we try the rewrite it has been substituted making the dependency
disappear.
- Hack to correcly handle let-in annotations which are internalized as
casts: they're really typing constraints. Shouldn't we just change the
AST to have the type at rawconstr let-in nodes?
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L'expérience prouve que ce n'est pas franchement concluant.
On peut se risquer à une explication :
- nf_evar, version mémoïsée n'est pas tail recursive
- On retarde la substitution des hypothèses de l'evar en échange de
faire moins de substitutions d'evars. Intuitivement c'est intéressant
seulement si il y a plus de substitutions d'evar dupliquées que
d'hypothèses dupliquées. Ce qui ne doit pas être le cas (ne serait-ce
que parce que dupliquer une evar duplique aussi ses variables libres).
This reverts commit 066a564021788e995eb166ad6ed6e55611d6f593.
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=20[whd=5Fevar]=20:=20les
=20evar=5Fdefs=20gardent=20un=20cache=20des=20appels=20pr=C3=A9c=C3=A9dents.=20Le=20d=C3=A9faut=20de=20la
=20m=C3=A9thodologie=20est=20que=20=C3=A7a=20int=C3=A9ragit=20assez=20mal=20avec=20la=20substitution=20des
=20hypoth=C3=A8ses=20de=20l'evar=20(qui=20n'est=20pas=20mise=20en=20cache).=20En=20particulier=20les
=20deux=20fonctions=20ne=20sont=20plus=20r=C3=A9cursives=20terminales.=20De=20plus=20un=20appel=20=C3=A0
=20l'une=20des=20deux=20fera=20n=C3=A9cessairement=20un=20parcours=20du=20terme=20pour=20appliquer
=20la=20substitution.?=
MIME-Version: 1.0
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D'un point de vue de l'effet observer, ça a un effet assez léger sur le
trunk, je suis curieux de voir les effets sur les contribs.
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d'entiers à ensemble d'entier. A première vue l'optimisation a un effet
négligeable.
Mais vu l'utilisation qui est fait des des last_mods (des mem à
répétition). C'est plus raisonnable ainsi.
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par Evd). Ça s'accompagne de quelques autres modifications de
l'interface (certaines fonctions étaient des doublons, ou des
conversions entre evar_map et evar_defs).
J'ai modifié un peu la structure de evd.ml aussi, pour éviter des
fonctions redéfinies deux fois (i.e. définies trois fois !), j'ai
introduit des sous-modules pour les différentes couches.
Il y a à l'heure actuelle une pénalité en performance assez sévère (due
principalement à la nouvelle mouture de Evd.merge, si mon diagnostique
est correct). Mais fera l'objet de plusieurs optimisations dans les
commits à venir.
Un peu plus ennuyeux, la test-suite du mode déclaratif ne passe plus. Un
appel de Decl_proof_instr.mark_as_done visiblement, je suis pour
l'instant incapable de comprendre ce qui cause cette erreur. J'espère
qu'on pourra le déterminer rapidement.
Ce commit est le tout premier commit dans le trunk en rapport avec les
évolution futures de la machine de preuve, en vue en particulier
d'obtenir un "vrai refine".
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- commit 11871 (Miller's pattern detection bug) + a corresponding test
- commit 11883 (.ml4 to .cmxs in coq_makefile)
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evar-evar problems).
- Fixing target "make programs".
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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.
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==========
This big patch is commited here with a HUGE experimental tag on it. It
is probably not a finished job. The aim of committing it now, as
agreed with Hugo, is to get some feedback from potential users to
identify more clearly the directions the implementation could take. So
please feel free to mail me any remarks, bug reports or advices at
<puech@cs.unibo.it>.
Here are the changes induced by it :
For the user
============
* Search tools have been reimplemented to be faster and more
general. Affected are [SearchPattern], [SearchRewrite] and [Search]
(not [SearchAbout] yet). Changes are:
- All of them accept general constructions, and previous syntactical
limitations are abolished. In particular, one can for example
[SearchPattern (nat -> Prop)], which will find [isSucc], but also
[le], [gt] etc.
- Patterns are typed. This means that you cannot search mistyped
expressions anymore. I'm not sure if it's a good or a bad thing
though (especially regarding coercions)...
* New tool to automatically infer (some) Record/Typeclasses instances.
Usage : [Record/Class *Infer* X := ...] flags a record/class as
subject to instance search. There is also an option to
activate/deactivate the search [Set/Unset Autoinstance]. It works
by finding combinations of definitions (actually all kinds of
objects) which forms a record instance, possibly parameterized. It
is activated at two moments:
- A complete search is done when defining a new record, to find all
possible instances that could have been formed with past
definitions. Example:
Require Import List.
Record Infer Monoid A (op:A->A->A) e :=
{ assoc : forall x y z, op x (op y z) = op (op x y) z;
idl : forall x, x = op x e ;
idr : forall x, x = op e x }.
new instance Monoid_autoinstance_1 : (Monoid nat plus 0)
[...]
- At each new declaration (Definition, Axiom, Inductive), a search
is made to find instances involving the new object. Example:
Parameter app_nil_beg : forall A (l:list A), l = nil ++ l.
new instance Build_Monoid_autoinstance_12 :
(forall H : Type, Monoid (list H) app nil) :=
(fun H : Type =>
Build_Monoid (list H) app nil ass_app (app_nil_beg H)
(app_nil_end H))
For the developper
==================
* New yet-to-be-named datastructure in [lib/dnet.ml]. Should do
efficient one-to-many or many-to-one non-linear first-order
filtering, faster than traditional methods like discrimination nets
(so yes, the name of the file should probably be changed).
* Comes with its application to Coq's terms
[pretyping/term_dnet.ml]. Terms are represented so that you can
search for patterns under products as fast as you would do not under
products, and facilities are provided to express other kind of
searches (head of application, under equality, whatever you need
that can be expressed as a pattern)
* A global repository of all objects defined and imported is
maintained [toplevel/libtypes.ml], with all search facilities
described before.
* A certain kind of proof search in [toplevel/autoinstance.ml]. For
the moment it is specialized on finding instances, but it should be
generalizable and reusable (more on this in a few months :-).
The bad news
============
* Compile time should increase by 0 to 15% (depending on the size of
the Requires done). This could be optimized greatly by not
performing substitutions on modules which are not functors I
think. There may also be some inefficiency sources left in my code
though...
* Vo's also gain a little bit of weight (20%). That's inevitable if I
wanted to store the big datastructure of objects, but could also be
optimized some more.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11794 85f007b7-540e-0410-9357-904b9bb8a0f7
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(detection of Miller's pattern)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11748 85f007b7-540e-0410-9357-904b9bb8a0f7
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by user) and #2017 (unification pattern test too crude leading to
regression wrt to 8.1).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11743 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11614 85f007b7-540e-0410-9357-904b9bb8a0f7
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Evarutil.check_and_clear_in_constr in V8.2 revision 11309 and trunk
revision 11300).
- Improved various error messages related to inversion, evars and case
analysis (including the removal of the obsolete dependent/non dependent
distinction).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11561 85f007b7-540e-0410-9357-904b9bb8a0f7
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declaring additional conversion problems when unifying the type of an
evar instance and the evar's declared type. Fix the corresponding
conversion heuristic which failed due to (misplaced?) assertions when
faced with general conversion problems.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11549 85f007b7-540e-0410-9357-904b9bb8a0f7
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instances and the corresponding evar's type if it contains existentials
to avoid dangling evars. No noticeable performance impact (at least on the
stdlib). Subsumes (and fixes) the (broken) fix in unification.ml that was
previously patched by M. Puech.
Improve error messages related to existential variables and type
classes.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11543 85f007b7-540e-0410-9357-904b9bb8a0f7
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evars at the end of unification as later evars can refer to
previous ones. This removes the assumption that evars are already
ordered in eterm's code.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11419 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Correction divers messages d'erreur
- lorsque rien à réécrire dans une hyp,
- lorsqu'une variable ltac n'est pas liée,
- correction anomalie en présence de ?id dans le "as" de induction,
- correction mauvais env dans message d'erreur de unify_0.
- Diverses extensions et améliorations
- "specialize" :
- extension au cas (fun x1 ... xn => H u1 ... un),
- renommage au même endroit.
- "assert" et "pose proof" peuvent réutiliser la même hyp comme "specialize".
- "induction"
- intro des IH toujours au sommet même si induction sur var quantifiée,
- ajout d'un hack pour la reconnaissance de schémas inductifs comme
N_ind_double mais il reste du boulot pour reconnaître (et/ou
réordonner) les composantes d'un schéma dont les hypothèses ne sont pas
dans l'ordre standard,
- vérification de longueur et éventuelle complétion des
intropatterns dans le cas de sous-patterns destructifs dans induction
(par exemple "destruct n as [|[|]]" sur "forall n, n=0" ne mettait pas
le n dans le contexte),
- localisation des erreurs d'intropattern,
- ajout d'un pattern optionnel après "as" pour forcer une égalité et la
nommer (*).
- "apply" accepte plusieurs arguments séparés par des virgules (*).
- Plus de robustesse pour clear en présence d'evars.
- Amélioration affichage TacFun dans Print Ltac.
- Vieux pb espace en trop en tête d'affichage des tactiques EXTEND résolu
(incidemment, ça remodifie une nouvelle fois le test output Fixpoint.v !).
- Fusion VTactic/VFun dans l'espoir.
- Mise en place d'un système de trace de la pile des appels Ltac (tout en
préservant certains aspects de la récursivité terminale - cf bug #468).
- Tactiques primitives
- ajout de "move before" dans les tactiques primitives et ajout des
syntaxes move before et move dependent au niveau utilisateur (*),
- internal_cut peuvent faire du remplacement de nom d'hypothèse existant,
- suppression de Intro_replacing et du code sous-traitant
- Nettoyage
- Suppression cible et fichiers minicoq non portés depuis longtemps.
(*) Extensions de syntaxe qu'il pourrait être opportun de discuter
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11300 85f007b7-540e-0410-9357-904b9bb8a0f7
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effacé dans un intro-pattern (suggéré par ssreflect).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11235 85f007b7-540e-0410-9357-904b9bb8a0f7
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majuscule - si pas un ident ou un terme - et se terminent par un point).
Restent quelques utilisations de "error" qui sont liées à des usages internes,
ne faudrait-il pas utiliser des exceptions plus spécifiques à la place ?
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11230 85f007b7-540e-0410-9357-904b9bb8a0f7
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