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This way, no more references to NBinDefs.N when doing "Print N".
Long-term migration to theories/Numbers is still planned, but it needs
more works, for instance to adapt both positive and N and Z at once.
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SetoidTactics and document it. Cleanup Classes.Equivalence.
Minor fixes to the Program doc.
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semantics.
- Add an Equivalence instance for pointwise equality from an
Equivalence on the codomain of a function type, used by default when
comparing functions with the Setoid's ===/equiv.
- Partially fix the auto hint database "add" function where the exact
same lemma could be added twice (happens when doing load for example).
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As suggested by Hugo, Notation "p ~ 1" instead of Notation "p ~1" avoids potential
conflict with stuff like ~1=1.
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projections are of the form "equivalence_reflexive" and instance names
too. As they are (almost) never used directly, it does not hurt to have
long explicit names.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10787 85f007b7-540e-0410-9357-904b9bb8a0f7
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testing:
- better? pretty printing
- correct handling of load/open/cache
- do less reduction in build_signature, commited in previous patch. May
break some scripts (but Parametric will break more and before :).
- remove ===def notation as suggested by A. Spiwack.
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declarations. By default, print the list of implicitely generalized
variables. Implement new commands Add Parametric Relation/Morphism for...
parametric relations and morphisms. Now the Add * commands are strict
about free vars and will fail if there remain some. Parametric just allows to
give a variable context. Also, correct a bug in generalization of
implicits that ordered the variables in the wrong order.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10782 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Use a notation for predicate instead of a
definition (better pretty-printing this way, and no delta
problem!).
- Correct inadvertent import of Coq.Program.Program which sets
implicit arguments for left,right and so on. Should fix the contribs
that used to compile.
- Correct normalization_tac to do normalization of "inverse"
signatures. Add a missing instance, and name the existing ones.
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relf/sym/trans relations from morphisms on prop connectives and
relations.
- Add general order theory on predicates, instantiated for relations.
Derives equivalence, implication, conjunction and disjunction as
liftings from propositional connectives. Can be used for n-ary
homogeneous predicates thanks to a bit of metaprogramming with lists of
types.
- Rebind Setoid_Theory to use the Equivalence record type instead of
declaring an isomorphic one. One needs to do "red" after constructor to
get the same statements when building objects of type Setoid_Theory, so
scripts break.
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- si on met Rle_ge et Rge_le tous les deux en Resolve (et de même
pour Rlt_gt et Rgt_lt) alors on introduit un cycle,
- si on en met un des deux en Immediate, alors on perd la symétrie car si
un développement n'a un lemme en hints que pour Rge (resp Rle),
alors il ne sera pas utilisable si on met Rge_le (resp Rle_ge) en Immediate
(et c'est ce qui arrive notamment dans HighSchoolGeometry).
L'idéal serait d'introduire une notion de raisonnement modulo équivalence
dans auto afin que chaque lemme sur Rle (resp Rge) soit systématiquement
applicable aussi face à Rge (resp Rle) sans redondances et sans
cycle. Ainsi Rle_ge and co n'auraient pas un statut de hints mais plutôt un
statut de conversions implicites entre notions synonymes.
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lemmes se terminant par False ou not sur n'importe quelle formule
(cela crée trop d'incompatibilités dans les "try apply" etc.); de
toutes façons, "contradict" joue presque ce rôle (à ceci près qu'il
ne traverse pas les conjonctions) (tactics/tactics.ml).
- Quelques corrections sur RIneq.v
- le hint Rlt_not_eq avait été oublié dans la phase de restructuration,
- davantage de noms canoniques (O -> 0, etc.),
- nouvelle tentative de ramener "auto" vers Rle (avec Rle_ge) plutôt
que vers Rge qui est moins souvent associé à des hints.
- Utilisation du formateur deep_ft pour afficher les scripts de preuve afin
d'éviter le besoin d'un "Set Printing Depth" (vernacentries.ml).
- Suppression de certaines utilisations de l'Anomaly de meta_fvalue
qui ne correspondaient pas à des comportements anormaux (reductionops.ml).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10760 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Allow unicode superscripts characters.
- Put Program notations in scopes.
- Correct priority semantics in typeclasses eauto.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10759 85f007b7-540e-0410-9357-904b9bb8a0f7
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(for instance as a consequence of the Set/Type switch of a library
such as FSets). After a "Require Export SetIsType.", Set becomes a
mere notation for Type (I love notations !).
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Correction bugs commentaires pour coqdoc (ChoiceFacts.v)
Test-suite
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10756 85f007b7-540e-0410-9357-904b9bb8a0f7
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Hints reste à faire. (dommage que Rge et Rle ne soient pas
convertibles)
- Ajout de Nnat et Ndigits dans NArith.v
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As for FSetAVL vs. FSetFullAVL, preservation of the balancing of trees
is not necessary anymore for just fulfilling the Map interface. But we
still want theses proofs to exists somewhere, since they ensure the
correct efficiency of the FMapAVL operations.
In addition, FSetFullAVL also contains the non-structural,
ocaml-faithful version of compare.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10748 85f007b7-540e-0410-9357-904b9bb8a0f7
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* pure functions comes first, proofs are isolated in a sub-module
* lazy (&&&) = if ... then ... else true instead of strict (&&) = andb
* equal and compare done via continuations
* a more clever map2_opt suggested by B. Gregoire: no more
intermediate conversion to lists, some sub-functions can handle
trivial situations, etc.
* map2 is now done via map2_opt and another new iterator: map_option.
By the way, this map_option allows to define easily an efficient
filter function. Both map2_opt and map_option are currently not
available through FMapInterface.S, but they can be used by direct
reference to the underlying Raw module.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10745 85f007b7-540e-0410-9357-904b9bb8a0f7
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alleviate some problems with delta. Better precedence in lambda
notation. Temporarily deactivate notations for relation conjunction,
equivalence and so on, while we search for a better syntax and maybe a
generalization (fixes bug #1820). Better destruct_call in
Program.Tactics.
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pas correctes
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- Use support for abbreviations with params added by Hugo for inverse.
- Standard priorities for operators on relations.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10733 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Nouvel essai de prise en compte unfold dans apply (unification.ml)
- Correction bug commit précédent (constrintern.ml)
- Correction bug d'explication des evars non résolues (evarutil.ml)
- Fenêtre de query coqide plus large (command_windows.ml)
- Orthographe tauto (tauto.ml4)
- Crédits (ConstructiveEpsilon.v)
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to "-R>" and the like. Split more precisely in inference of case
predicate between the new code which currently works only for matched
variables and the old one which works better on variables appearing in matched
terms types (the two could also be merged).
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Add definitions of relational algebra in Classes/RelationClasses
including equivalence, inclusion, conjunction and disjunction. Add
PartialOrder class and show that we have a partial order on relations.
Change SubRelation to subrelation for consistency with the standard
library. The caracterization of PartialOrder is a bit original: we
require an equivalence and a preorder so that the equivalence relation
is equivalent to the conjunction of the order relation and its
inverse. We can derive antisymmetry and appropriate morphism instances
from this. Also add a fully general heterogeneous definition of
respectful from which we can build the non-dependent respectful
combinator.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10728 85f007b7-540e-0410-9357-904b9bb8a0f7
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[in I] := t [return pred] in b", just as SSReflect does with let:.
Change implementation: no longer a separate AST node, just add a case_style
annotation on Cases to indicate it (if ML was dependently typed we
could ensure that LetPatternStyle Cases have only one term to be
matched and one branch, alas...). This factors out most code and we lose
no functionality (win ! win !). Add LetPat.v test suite.
- Slight improvement of inference of return clauses for dependent
pattern matching. If matching a variable of non-dependent type
under a tycon that mentions it while giving no return clause, the
dependency will be automatically infered. Examples at the end of
DepPat. Should get rid of most explicit returns under tycons.
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d'un test non significatif
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but with lazy behavior while (vm_)computing
- FSetAVL.split has now a dedicated output type instead of ( ,( , ))
- Some proof adaptations.
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- Better interface in constrintern w.r.t. evars used during typechecking
- Add "unsatisfiable_constraints" exception which gives back the raw
evar_map that was not satisfied during typeclass search (presentation
could be improved).
- Correctly infer the minimal sort for typeclasses declared as
definitions (everything was in type before).
- Really handle priorities in typeclass eauto: goals produced with higher
priority (lowest number) instances are tried before other of lower
priority goals, regardless of the number of subgoals.
- Change inverse to a notation for flip, now that universe polymorphic
definitions are handled correctly.
- Add EquivalenceDec class similar to SetoidDec, declaring decision
procedures for equivalences.
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context [] pattern). May break some user contribs...
Rename clsubstitute to substitute.
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types. Change (again) the semantics of bindings and the binding modifier
! in typeclasses. Inside [ ], implicit binding where only parameters
need to be given is the default, use ! to use explicit binding, which is
equivalent to regular bindings except for generalization of free
variables. Outside brackets (e.g. on the right of instance
declarations), explicit binding is the default, and implicit binding
can be used by adding ! in front. This avoids almost every use of ! in
the standard library and in other examples I have.
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- Renommage de Rlt_not_le de Fourier_util en Rlt_not_le_frac_opp pour
éviter la confusion avec le Rlt_not_le de RIneq.
- Quelques variantes de lemmes en plus dans RIneq.
- Déplacement des énoncés de sigT dans sig (y compris la complétude)
et utilisation de la notation { l:R | }.
- Suppression hypothèse inutile de ln_exists1.
- Ajout notation ² pour Rsqr.
Au passage:
- Déplacement de dec_inh_nat_subset_has_unique_least_element
de ChoiceFacts vers Wf_nat.
- Correction de l'espace en trop dans les notations de Specif.v liées à "&".
- MAJ fichier CHANGES
Note: il reste un axiome dans Ranalysis (raison technique: Ltac ne
sait pas manipuler un terme ouvert) et dans Rtrigo.v ("sin PI/2 = 1"
non prouvé).
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symmetric... classes for now, merging Relations with RelationClasses
requires some non-trivial changes on implicits but also some definitions
are different (e.g. antisymmetric in Classes is defined w.r.t an
equivalence relation and not eq). Move back to Reflexive and so on.
reflexivity-like tactics fail in the same way as before if Setoid was
not imported. There is now a scope for morphism signatures, hence "==>",
"++>" and "-->" can be given different interpretations.
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functional scheme.
- Proofs are placed in Raw.Proofs, that may someday become an opaque module.
- use Functional Scheme in this module Raw.proofs, instead of Function: less
derived objects.
- more cleanup.
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Extraction is unchanged, since orb/andb are detected as un-strict
functions and inlined. This only prevents the use of some potential
clever Extract Inlined Constant andb => "(&&)" and idem for orb, but
this isn't a big deal.
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rewrite calls fail because an occurence is found under a lambda that
was not found before and there are no adequate morphism declarations to
make the rewrite succeed nor the possibility to give occurences to
rewrite (yet). Only setoid_rewrite will try rewriting under lambda's for
now. Example problem found in a port of the Random library.
Also improved the required_library error message.
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(Cachan/IntMap)
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names, gives the ability to specify qualified classes in instance
declarations. Use that in the class_tactics code.
Refine the implementation of classes. For singleton classes the
implementation of the class becomes a regular definition (into Type or
Prop). The single method becomes a 'trivial' projection that allows to
launch typeclass resolution. Each instance is just a definition as
usual. Examples in theories/Classes/RelationClasses. This permits to
define [Class reflexive A (R : relation A) := refl : forall x, R x
x.]. The definition of [reflexive] that is generated is the same as the
original one. We just need a way to declare arbitrary lemmas as
instances of a particular class to retrofit existing reflexivity lemmas
as typeclass instances of the [reflexive] class.
Also debug rewriting under binders in setoid_rewrite to allow rewriting
with lemmas which capture the bound variables when applied (works only
with setoid_rewrite, as rewrite first matches the lemma with the entire,
closed term). One can rewrite with [H : forall x, R (f x) (g x)] in the goal
[exists x, P (f x)].
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Adds some instances that incur again a small performance penalty because they cannot
be discriminated against for now (the discrimination net is considering
the head constructor to be Morphism).
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rewriting, in some sense bootstrapping the system. Remove redundant
morphisms for now to test for completeness (small performance penalty).
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resolution. Add [relation] and Setoid's [equiv] as such objects.
Considerably simplify resolve_all_evars for typeclass resolution, adding
a further refinement (and hack): evars get classified as non-resolvable
(using the evar_extra dynamic field) if they are turned into a
goal. This makes it possible to perform nested typeclass resolution
without looping. We
take advantage of that in Classes/Morphisms where [subrelation_tac] is
added to the [Morphism] search procedure and calls the apply tactic which
itself triggers typeclass resolution. Having [subrelation_tac] as a tactic
instead of an instance, we can actually force that it is applied only
once in each search branch and avoid looping.
We could get rid of the hack when we have real goals-as-evars
functionality (hint hint).
Also fix some test-suite scripts which were still calling [refl]
instead of [reflexivity].
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