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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10742 85f007b7-540e-0410-9357-904b9bb8a0f7
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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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[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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- 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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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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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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check_required_library where needed (fixes bug #1797).
Remove spurious messages from ring when not in verbose mode.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10685 85f007b7-540e-0410-9357-904b9bb8a0f7
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setoid rewrite. Refine and use the new unification flags setup by Hugo
to do a little bit of delta in clenv_unify/w_unify. Moved from a boolean
indicating conversion is wanted to a Cpred representing the
constants one wants to get unfolded to have more precise control. Add
corresponding test-suite file.
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implicits for left, inl or eq, hence some theories had to be changed
again. It should make some user contribs compile again too. Also
do not import functional extensionality when importing Program.Basics,
add a Combinators file for proofs requiring it and a Syntax file for the
implicit settings. Move Classes.Relations to Classes.RelationClasses to
avoid name clash warnings as advised by Hugo and Pierre.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10681 85f007b7-540e-0410-9357-904b9bb8a0f7
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[id] instead of their expansions. Seems to slow things down a bit
(1s. on Ring_polynom).
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morphisms on R --> inverse R' for any R, R' (report by N. Tabareau).
Better implementation of unfolding for impl that does it only where
necessary to keep the goal in the same shape as the user gave.
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implementation. Mostly syntax changes when declaring parametric
relations, but also some declarations were relying on "default"
relations on some carrier. Added a new DefaultRelation type class that
allows to do that, falling back to the last declared Equivalence
relation by default. This will be bound to Add Relation in the next
commit.
Also, move the "left" and "right" notations in Program.Utils to "in_left" and
"in_right" to avoid clashes with existing scripts.
Minor change to record to allow choosing the name of the argument for
the record in projections to avoid possible incompatibilities.
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out. The semantics of the old setoid are faithfully simulated by the new
tactic, hence no scripts involving rewrite are modified. However,
parametric morphism declarations need to be changed, but there are only a
few in the standard library, notably in FSets. The declaration and the
introduction of variables in the script need to be tweaked a bit,
otherwise the proofs remain unchanged.
Some fragile scripts not introducting their variable names explicitely
were broken. Requiring Setoid requires Program.Basics which sets stronger
implicit arguments on some constants, a few scripts benefit from that.
Ring/field have been ported but do not really use the new typeclass
architecture as well as they could. Performance should be mostly
unchanged, but will certainly improve in the near future. Size of the
vo's seems not to have changed at all.
It will certainly break some contribs using Setoid.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10631 85f007b7-540e-0410-9357-904b9bb8a0f7
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binding, add "!" syntax for the new binders which require parameters and
not superclasses. Change backquotes for curly braces for user-given
implicit arguments, following tradition. This requires a hack a la
lpar-id-coloneq. Change ident to global for typeclass names in class
binders. Also requires a similar hack to distinguish between [ C t1 tn ]
and [ c : C t1 tn ]. Update affected theories.
While hacking the parsing of { wf }, factorized the two versions of fix
annotation parsing that were present in g_constr and g_vernac.
Add the possibility of the user optionaly giving the priority for resolve and
exact hints (used by type classes). Syntax not fixed yet: a natural
after the list of lemmas in "Hint Resolve" syntax, a natural after a "|"
after the instance constraint in Instance declarations (ex in
Morphisms.v).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10628 85f007b7-540e-0410-9357-904b9bb8a0f7
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(Axiom/Variable...). New tactic clapply to apply unapplied class methods
in tactic mode, simple solution to the fact that apply does not work
up-to classes yet. Add Functions.v for class definitions related to
functional morphisms.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10589 85f007b7-540e-0410-9357-904b9bb8a0f7
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class_tactics for further customizations. Add Equivalence.v for
typeclass definitions on equivalences and clrewrite.v test-suite for
clrewrite. Debugging the tactic I found missing morphisms that are now
in Morphisms.v and removed some that made proof search fail or take too
long, not sure it's complete however.
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class_setoid to class_tactics...
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trying to declare an instance with an already existing name. Add
possibility of not giving all the fields in Instance declarations, using
Refine.refine to generate the subgoals. No control over opacity in this
case though...
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only, and get rid of the "relation" definition which makes unification
fail blatantly. Replace it with a notation :) In its current state,
the new tactic seems ready for larger tests.
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eauto instead of an arbitrary tactic. Export more from eauto to allow
easier debugging.
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Tabareau:
- first pass: generation of the Morphism constraints with metavariables
for unspecified relations by one fold over the term.
This builds a "respect" proof term for the whole term with holes.
- second pass: constraint solving of the evars, taking care of finding a
solution for all the evars at once.
- third step: normalize proof term by found evars, apply it, done!
Works with any relation, currently not as efficient as it could be due
to bad handling of evars. Also needs some fine tuning of the instances
declared in Morphisms.v that are used during proof search, e.g. using
priorities.
Reorganize Classes.* accordingly, separating the setoids in
Classes.SetoidClass from the general morphisms in Classes.Morphisms
and the generally applicable relation theory in Classes.Relations.
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for basic functional programming and relation
definitions respectively.
Classes.Relations also includes the definition of Morphism
and instances for the standard morphisms and relations (eq, iff, impl,
inverse and complement). The class_setoid.ml4 [setoid_rewrite] tactic
has been reimplemented on top of these definitions, hence it doesn't
require a setoid implementation anymore. It also generates obligations
for missing reflexivity proofs, like the current setoid_rewrite. It has
not been tested on large examples but it should handle directions and
occurences. Works with in if no obligations are generated at this time.
What's missing is being able to rewrite by a lemma instead of a simple
hypothesis with no premises.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10502 85f007b7-540e-0410-9357-904b9bb8a0f7
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document it.
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tactics in SetoidClass
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wrapper around Ltac program_simpl ::= .
!!!! This may introduce incompatibilities because now modifications of program_simpl are properly handled and work across modules.
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Debug tactic redefinition code, streamline Instantiation Tactic implementation using that. Have to adapt obligations tactic still.
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backwards compatible. Update CHANGES with things i've done.
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hole kind info for topconstrs.
Derive eta_expansion from functional extensionality axiom.
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implementation is much less add-hoc. Opens possibility of arbitrary prefixes in Class and Instance declarations. Current implementation with eauto is a bit more dangerous... next patch will fix it.
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evars and try to solve them too.
Finally, rework tactics on setoids and design a saturating tactic to help solve goals on any setoid.
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with a decidable equality. Fix name capture bug, again.
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10358-10362,10365,10371-10373,10377,10383-10384,10394-10395,10398,10403-10408 via svnmerge from
svn+ssh://msozeau@scm.gforge.inria.fr/svn/coq/branches/TypeClasses
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r10358 | msozeau | 2007-12-10 15:42:53 +0100 (Mon, 10 Dec 2007) | 1 line
Comment grammar error
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r10359 | msozeau | 2007-12-10 16:04:09 +0100 (Mon, 10 Dec 2007) | 7 lines
The initial Type Classes patch.
This patch introduces type classes and instance definitions a la Haskell.
Technically, it uses the implicit arguments mechanism which was extended a bit.
The patch also introduces a notation for explicitely marking implicit, maximally inserted parameters.
It includes the tactic redefinition code too (Ltac tac ::= foo redefines tac).
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r10360 | msozeau | 2007-12-10 16:14:30 +0100 (Mon, 10 Dec 2007) | 1 line
Fix interface
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r10361 | msozeau | 2007-12-10 16:28:19 +0100 (Mon, 10 Dec 2007) | 1 line
Fix more xlate code
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r10362 | msozeau | 2007-12-11 02:00:53 +0100 (Tue, 11 Dec 2007) | 3 lines
Update coqdoc for type classes, fix proof state not being displayed on Next Obligation.
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r10365 | msozeau | 2007-12-11 14:22:35 +0100 (Tue, 11 Dec 2007) | 3 lines
Bug fixes in Instance decls.
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r10371 | msozeau | 2007-12-12 21:17:30 +0100 (Wed, 12 Dec 2007) | 3 lines
Streamline typeclass context implementation, prepare for class binders in proof statements.
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r10372 | msozeau | 2007-12-12 22:03:38 +0100 (Wed, 12 Dec 2007) | 1 line
Minor cosmetic fixes: allow sorts as typeclass param instances without parens and infer more types in class definitions
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r10373 | msozeau | 2007-12-13 00:35:09 +0100 (Thu, 13 Dec 2007) | 2 lines
Better names in g_vernac, binders in Lemmas and Context [] to introduce a typeclass context.
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r10377 | msozeau | 2007-12-13 18:34:33 +0100 (Thu, 13 Dec 2007) | 1 line
Stupid bug
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r10383 | msozeau | 2007-12-16 00:04:48 +0100 (Sun, 16 Dec 2007) | 1 line
Bug fixes in name handling and implicits, new syntax for using implicit mode in typeclass constraints
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r10384 | msozeau | 2007-12-16 15:53:24 +0100 (Sun, 16 Dec 2007) | 1 line
Streamlined implementation of instances again, the produced typeclass is a typeclass constraint. Added corresponding implicit/explicit behaviors
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r10394 | msozeau | 2007-12-18 23:42:56 +0100 (Tue, 18 Dec 2007) | 4 lines
Various fixes for implicit arguments, new "Enriching" kw to just enrich existing sets of impl args. New syntax !a to force an argument, even if not dependent.
New tactic clrewrite using a setoid typeclass implementation to do setoid_rewrite under compatible morphisms... very experimental.
Other bugs related to naming in typeclasses fixed.
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r10395 | msozeau | 2007-12-19 17:11:55 +0100 (Wed, 19 Dec 2007) | 3 lines
Progress on setoids using type classes, recognize setoid equalities in hyps better.
Streamline implementation to return more information when resolving setoids (return the results setoid).
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r10398 | msozeau | 2007-12-20 10:18:19 +0100 (Thu, 20 Dec 2007) | 1 line
Syntax change, more like Coq
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r10403 | msozeau | 2007-12-21 22:30:35 +0100 (Fri, 21 Dec 2007) | 1 line
Add right-to-left rewriting in class_setoid, fix some discharge/substitution bug, adapt test-suite to latest syntax
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r10404 | msozeau | 2007-12-24 21:47:58 +0100 (Mon, 24 Dec 2007) | 2 lines
Work on type classes based rewrite tactic.
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r10405 | msozeau | 2007-12-27 18:51:32 +0100 (Thu, 27 Dec 2007) | 2 lines
Better evar handling in pretyping, reorder theories/Program and add some tactics for dealing with subsets.
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r10406 | msozeau | 2007-12-27 18:52:05 +0100 (Thu, 27 Dec 2007) | 1 line
Forgot to add a file
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r10407 | msozeau | 2007-12-29 17:19:54 +0100 (Sat, 29 Dec 2007) | 4 lines
Generalize usage of implicit arguments in terms, up to rawconstr. Binders are decorated with binding info, either Implicit or Explicit for rawconstr. Factorizes code for typeclasses, topconstrs decorations are Default (impl|expl) or TypeClass (impl|expl) and
implicit quantification is resolve at internalization time, getting rid of the arbitrary prenex restriction on contexts.
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r10408 | msozeau | 2007-12-31 00:58:50 +0100 (Mon, 31 Dec 2007) | 4 lines
Fix parsing of subset binders, bugs in subtac_cases and handling of mutual defs obligations.
Add useful tactics to Program.Subsets.
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