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We explicitely take care of the argument A to be given to eq_refl,sym,trans
when proving that Logic.eq is an instance of Equivalence. This should solve
the recent Universe Inconsistencies encountered in CoLoR and FingerTree.
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Update Numbers that was implicitely using [simpl_relation] instead of
the default tactic [program_simpl].
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not just type class applications.
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This allows easier handling of dependencies, for instance RelationClasses
won't have to requires List (which itself requires part of Arith, etc).
One of the underlying ideas is to provide setoid rewriting in Init someday.
Thanks to some notations in List, this change should be fairly transparent
to the user. For instance, one could see that List.length is a notation for
(Datatypes.)length only when doing a Print List.length.
For these notations not to be too intrusive, they are hidden behind an explicit
Export of Datatypes at the end of List. This isn't very pretty, but quite handy.
Notation.ml is patched to stop complaining in the case of reloading the same
Delimit Scope twice.
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variables with syntax:
[Local?|Global] Generalizable Variable(s)? [all|none|id1 idn].
By default no variable is generalizable, so this patch breaks backward
compatibility with files that used implicit generalization (through
Instance declarations for example). To get back the old behavior, one
just needs to use [Global Generalizable Variables all].
Make coq_makefile more robust using [mkdir -p].
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12428 85f007b7-540e-0410-9357-904b9bb8a0f7
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unconstrained goals (e.g. PreOrder A ?). Allow the unconstrained use of
[proper_reflexive] again.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12407 85f007b7-540e-0410-9357-904b9bb8a0f7
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Same global ideas (in particular the use of modules/functors), but:
- frequent use of Type Classes inside interfaces/implementation.
For instance, no more eq_refl/eq_sym/eq_trans, but Equivalence.
A class StrictOrder for lt in OrderedType. Extensive use of Proper
and rewrite.
- now that rewrite is mature, we write specifications of set operators
via iff instead of many separate requirements based on ->. For instance
add_spec : In y (add x s) <-> E.eq y x \/ In x s.
Old-style specs are available in the functor Facts.
- compare is now a pure function (t -> t -> comparison) instead of
returning a dependent type Compare.
- The "Raw" functors (the ones dealing with e.g. list with no
sortedness proofs yet, but morally sorted when operating on them)
are given proper interfaces and a generic functor allows to obtain
a regular set implementation out of a "raw" one.
The last two points allow to manipulate set objects that are completely free
of proof-parts if one wants to. Later proofs will rely on type-classes
instance search mechanism.
No need to emphasis the fact that this new version is severely incompatible
with the earlier one. I've no precise ideas yet on how allowing an easy
transition (functors ?). For the moment, these new Sets are placed alongside
the old ones, in directory MSets (M for Modular, to constrast with forthcoming
CSets, see below). A few files exist currently in version foo.v and foo2.v,
I'll try to merge them without breaking things. Old FSets will probably move
to a contrib later.
Still to be done:
- adapt FMap in the same way
- integrate misc stuff like multisets or the map function
- CSets, i.e. Sets based on Type Classes : Integration of code contributed by
S. Lescuyer is on the way.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12384 85f007b7-540e-0410-9357-904b9bb8a0f7
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existentials are generated (at last!). The code simply keeps failure
continuations and apply them if needed.
Fix bottomup and topdown rewrite strategies that looped.
Use auto introduction flag for typeclass instances as well.
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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.
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obligation tactic so that [Program] can work without importing
anything.
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- better implicits for [antisymmetry]
- don't throw away implicit arguments info when doing [Program
Definition : type.]
- add standard debugging tactics to print goals/hyps in Program.
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rewriting (thanks to Georges Gonthier for pointing it out).
We try to find a declared rewrite relation when the equation does not
look like an equality and otherwise try to reduce it to find a leibniz equality
but don't backtrack on generalized rewriting if this fails. This new
behavior make two fsets scripts fail as they are trying to use an
underlying leibniz equality for a declared rewrite relation, a [red]
fixes it.
Do some renaming from "setoid" to "rewrite".
Fix [is_applied_rewrite_relation]'s bad handling of evars and the
environment.
Fix some [dual] hints in RelationClasses.v and assert that any declared
[Equivalence] can be considered a [RewriteRelation].
Fix minor tex output problem in coqdoc.
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- Set implicit args on for Context decls
- Move class_apply tactic to Init
- Normalize evars before raising an error.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12127 85f007b7-540e-0410-9357-904b9bb8a0f7
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and failure continuations, allowing to do safe cuts correctly.
- Fix bug #2097 by suppressing useless nf_evars calls.
- Improve the proof search strategy used by rewrite for subrelations and
fix some hints.
Up to 20% speed improvement in setoid-intensive files.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12110 85f007b7-540e-0410-9357-904b9bb8a0f7
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Program.Tactics anymore.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12089 85f007b7-540e-0410-9357-904b9bb8a0f7
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class_tactics.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12056 85f007b7-540e-0410-9357-904b9bb8a0f7
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- The measure can now refer to all the formal arguments
- The recursive calls can make all the arguments vary as well
- Generalized to any relation and measure (new syntax {measure m on R})
This relies on an automatic curryfication transformation, the real
fixpoint combinator is working on a sigma type of the arguments.
Reduces to the previous impl in case only one argument is involved.
The patch also introduces a new flag on implicit arguments that says if
the argument has to be infered (default) or can be turned into a
subgoal/obligation. Comes with a test-suite file.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12030 85f007b7-540e-0410-9357-904b9bb8a0f7
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for [PartialOrder] typeclass.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11882 85f007b7-540e-0410-9357-904b9bb8a0f7
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- curly braces mandatory for record class instances
- no mention of the unique method for definitional class instances
Turning a record or definition into a class is mostly a
matter of changing the keywords to 'Class' and 'Instance' now.
Documentation reflects these changes, and was checked once more
along with setoid_rewrite's and Program's.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11797 85f007b7-540e-0410-9357-904b9bb8a0f7
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guessing the binding name by default and making all generalized
variables implicit. At the same time, continue refactoring of
Record/Class/Inductive etc.., getting rid of [VernacRecord]
definitively. The AST is not completely satisfying, but leaning towards
Record/Class as restrictions of inductive (Arnaud, anyone ?).
Now, [Class] declaration bodies are either of the form [meth : type] or
[{ meth : type ; ... }], distinguishing singleton "definitional" classes
and inductive classes based on records. The constructor syntax is
accepted ([meth1 : type1 | meth1 : type2]) but raises an error
immediately, as support for defining a class by a general inductive type
is not there yet (this is a bugfix!).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11679 85f007b7-540e-0410-9357-904b9bb8a0f7
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- New constr_expr construct [CGeneralization of loc * binding_kind *
abstraction_kind option * constr_expr] to generalize the free vars of
the [constr_expr], binding these using [binding_kind] and making
a lambda or a pi (or deciding from the scope) using [abstraction_kind
option] (abstraction_kind = AbsLambda | AbsPi)
- Concrete syntax "`( a = 0 )" for explicit binding of [a] and "`{
... }" for implicit bindings (both "..(" and "_(" seem much more
difficult to implement). Subject to discussion! A few examples added
in a test-suite file.
- Also add missing syntax for implicit/explicit combinations for
_binders_: "{( )}" means implicit for the generalized (outer) vars,
explicit for the (inner) variable itself. Subject to discussion as well :)
- Factor much typeclass instance declaration code. We now just have to
force generalization of the term after the : in instance declarations.
One more step to using Instance for records.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11495 85f007b7-540e-0410-9357-904b9bb8a0f7
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Now it's [A] and [R] for carriers and relations and [eqA] when the
relation is supposed to be an equivalence. The types are always implicit
except for [pointwise_relation] which now takes the domain type as an
explicit argument.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11408 85f007b7-540e-0410-9357-904b9bb8a0f7
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recursive definitions and references to previous fields in record and
classes definitions. Fixes the corresponding typesetting issue in coqdoc
output.
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This permits to create a database [relations] in [RelationClasses] with
a single extern tactic in it that tries to apply [reflexivity] or
[symmetry]. This is then automatically used in [auto with *] and repair
backward compatibility. The previous commit broke some scripts which were
using [intuition] to do (setoid) [reflexivity] or [symmetry]: this
worked only by accident, because the hint database of typeclasses was
used. Overrall, this also allows to put a bunch of
always-applicable, related tactics in some database or to use
[Hint Extern] but match only on hypotheses.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11384 85f007b7-540e-0410-9357-904b9bb8a0f7
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only relevant hypotheses in it, slightly cutting the search space.
Makes setoid_rewrite less sensitive to the number of hypothesis (~ 5%
time improvment on the stdlib). This currently prevents resolution with
constants which reduce to classes, hence the modifications in Setoids.Setoid.
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the same typeclass method application tactic that's available to users.
Modify a bit the _red tactics to accomodate the new setup and comment
some dead code in setoid_replace. Next step is removing it completely.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11355 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Avoid using projections for singleton classes. Divides the size
of proofs by 2 and simplifies the typechecking as well.
- Switch to the new discrimination net implementation for classes,
with the current convention that all constants are unfoldable.
Users can add "Typeclasses Opaque" declarations make the dnet
discriminate more, otherwise it should be entirely
backward-compatible.
- Fix bug introduced in r11333 in "transitivity" tactic in presence
of coercions.
Up to 15% gains on setoid-intensive files like Ring_polynom and
Field_theory. More importantly, performance should not decrease
significantly by adding new Morphism/Setoid declarations.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11337 85f007b7-540e-0410-9357-904b9bb8a0f7
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syntax yet. Doesn't change the auto/eauto behavior either.
- Typeclass resolution now considers everything transparent by
default and does it consistently for "open" and closed terms.
- Correctly declare singleton classes definition as opaque for proof
search.
- Add a few initial declarations to make iff, id, compose... opaque
- Add definition of dependent signatures for dependent function types
and remove corresponding exception code in class_tactics. The
instance requires higher-order unification and is not really usable yet.
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terms and [head_of_constr id] to put the head of a constr in some new
hypothesis. Both are used in a new tactic to deal with partial
applications in setoid_rewrite. Also fix bug #1905 by using
[subrelation] to take care of [Morphism (R ==> R') id] constraints.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11244 85f007b7-540e-0410-9357-904b9bb8a0f7
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classes, and simplify the implementation.
- Experimental syntax {{ cl : Class args }} and (( cl : Class args ))
which respectively make cl an implicit or explicit argument ({{ }} is
equivalent to [ ]). Could be extended to any type of binder, eg.
[Definition flip ((R : relation carrier)) : relation carrier := ...].
The idea behind double brackets is to distinguish macro-binders which
perform implicit generalization from regular binders. It could also save
[ ] for other uses.
- Fix bug #1901 about {} binders in records.
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- Now [ id : Class foo ] makes id an explicit argument,
and [ Class foo ] is equivalent to [ {someid} : Class foo ].
This makes declarations such as "Class Ord [ eq : Eq a ]" have
sensible implicit args.
- Better handling of {} in class and record declarations, refactorize
code for declaring structures and classes.
- Fix merging of implicit arguments information on section closing.
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goals containing existentials and use transparency information on
constants (optionally). Only used by the typeclasses eauto engine for
now, but could be used for other hint bases easily (just switch a boolean).
Had to add a new "creation" hint to be able to set said boolean upon
creation of the typeclass_instances hint db.
Improve the proof-search algorithm for Morphism, up to 10 seconds
gained in e.g. Field_theory, Ring_polynom. Added a morphism
declaration for [compose].
One needs to declare more constants as being unfoldable using
the [Typeclasses unfold] command so that discrimination is done correctly, but
that amounts to only 6 declarations in the standard library.
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letting the exception go uncatched.
- Reorder definitions in Morphisms, move the PER on (R ==> R') in
Morphisms where it can be declared properly. Add an instance for
Equivalence => Per.
- Change bug#1604 test file to the new semantics of [setoid_rewrite at]
- More unicode characters parsed by coqdoc.
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- Ajout clause "in" à "remember" (et passage du code en ML).
- Ajout clause "in" à "induction"/"destruct" qui, en ce cas, ajoute
aussi une égalité pour se souvenir du terme sur lequel l'induction
ou l'analyse de cas s'applique.
- Ajout "pose t as id" en standard (Matthieu: j'ai enlevé celui de
Programs qui avait la sémantique de "pose proof" tandis que le nouveau
a la même sémantique que "pose (id:=t)").
- Un peu de réorganisation, uniformisation de noms dans Arith, et
ajout EqNat dans Arith.
- Documentation tactiques et notations de tactiques.
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binders.
- Change syntax of type class instances to better match the usual syntax of
lemmas/definitions with name first, then arguments ":" instance.
Update theories/Classes accordingly.
- Correct globalization of tactic references when doing Ltac :=/::=, update
documentation.
- Remove the not so useful "(x &)" and "{{x}}" syntaxes from
Program.Utils, and subset_scope as well.
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in reasonable time), add (unfinished) documentation on type classes.
Put some classes into Prop explicitely as singleton inductive types are
no longer in Prop by default even if all the arguments are (is that
really what we want? roconnor says no).
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SetoidTactics and document it. Cleanup Classes.Equivalence.
Minor fixes to the Program doc.
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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.
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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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- 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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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.
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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.
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