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identity. Add notations for compatibility and support for
understanding these notations in the ml files.
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inductive types was not taken into account).
- Virtually extended tauto to
- support arbitrary-length disjunctions and conjunctions,
- support arbitrary complex forms of disjunctions and
conjunctions when in the contravariant of an implicative hypothesis,
- stick with the purely propositional fragment and not apply reflexivity.
This is virtual in the sense that it is not activated since it breaks
compatibility with the existing tauto.
- Modified the notion of conjunction and unit type used in hipattern in a
way that is closer to the intuitive meaning (forbid dependencies
between parameters in conjunction; forbid indices in unit types).
- Investigated how far "iff" could be turned into a direct inductive
definition; modified tauto.ml4 so that it works with the current and
the alternative definition.
- Fixed a bug in the error message from lookup_eliminator.
- Other minor changes.
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- New functions: update (a kind of union), restrict (a kind of inter),
diff.
- New predicat Partition (and Disjoint), many results about Partition.
- Equivalence instead of obsolete Setoid_Theory (they are aliases).
refl_st, sym_st, trans_st aren't used anymore and marked as obsolete.
- Start using Morphism (E.eq==>...) instead of compat_...
This change (FMaps only) is incompatible with 8.2betaX, but it's really
better now.
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The induction principles for fold are due to S. Lescuyer
The better transpose hyp is a suggestion by P. Casteran
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OrderedTypeFacts.eq_dec
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DecidableType
After lots of hesitations, OrderedType now requires this "eq_dec" field, which
is redundant (can be deduced from "compare"), but allows the subtyping relation
DecidableType <= OrderedType, and hence WS <= S : ordered sets are now truly
extensions of weak sets. Of course this change introduces a last-minute
incompatibility, but:
- There is a clear gain in term of functionnality / simplicity.
- FSets 8.2 already needs some adaptations when compared with 8.1, so it's
the right time to push such incompatible changes.
- Transition shouldn't be too hard: the old OrderedType still exists under
the name MiniOrderedType, and functor MOT_to_OT allows to convert from
one to the other.
Beware, for a FSetInterface.WS (resp. S) to be coercible to a DecidableType
(resp. OrderedType), an eq_dec on sets is now required in these interfaces
and in the implementations. In pratice, it is really easy to build from
equal and equal_1 and equal_2.
Some name changes : in FSetFacts, old WFacts now correspond to WFacts_fun,
while WFacts now expects only one argument (WFacts M := WFacts_fun M.E M).
Idem with WDecide, WProperties and WEqProperties.
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This definition makes it usable in fixpoints over inductive types
based on PositiveMap.t .
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With the previous definition, it was e.g. impossible to define a
fixpoint for the inductive type:
Inductive t : Set := T : PositiveMap.t t -> t.
using PositiveMap.map.
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introduced by the lemma remain in the subgoals (i.e. it's really
[erewrite]).
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[discriminated]] with a switch for using the more experimantal dnet impl
for every hint. Also add [Hint Transparent/Opaque] which parameterize
the dnet and the unification flags used by auto/eauto with a particular
database. Document all this. Remove [Typeclasses unfold] directives that
are no longer needed (everything is unfoldable by default) and move to
[Typeclasses Transparent/Opaque] syntax.
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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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a Coq meeting some time ago. NB: this syntax is an alias for (x,(y,(z,t)))
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and idem for |||, thanks to a specific scope lazy_bool_scope.
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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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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10765 85f007b7-540e-0410-9357-904b9bb8a0f7
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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.
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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.
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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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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10705 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10701 85f007b7-540e-0410-9357-904b9bb8a0f7
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(Cachan/IntMap)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10699 85f007b7-540e-0410-9357-904b9bb8a0f7
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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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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.
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* FSetAVL is greatly lightened : modulo a minor change in bal, formal
proofs of avl invariant is not needed for building a functor
implementing FSetInterface.S (even if this invariant is still true)
* Non-structural functions (union, subset, compare, equal) are
transformed into efficient structural versions
* Both proofs of avl preservation and non-structural functions are
moved to a new file FSetFullAVL, that can be ignored by the average
user.
Same for FMapAVL (still work in progress...)
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* "f_equal" is now a tactic in ML (placed alongside congruence since
it uses it). Normally, it should be completely compatible with the
former Ltac version, except that it doesn't suffer anymore from the
"up to 5 args" earlier limitation.
* "revert" also becomes an ML tactic. This doesn't bring any real
improvement, just some more uniformity with clear and generalize.
* The experimental "narrow" tactic is removed from Tactics.v, and
replaced by an evolution of the old & undocumented "specialize"
ML tactic:
- when specialize is called on an hyp H, the specialization is
now done in place on H. For instance "specialize (H t u v)"
removes the three leading forall of H and intantiates them by
t u and v.
- otherwise specialize still works as before (i.e. as a kind of
generalize).
See the RefMan and test-suite/accept/specialize.v for more infos.
Btw, specialize can still accept an optional number for specifying
how many premises to instantiate. This number should normally
be useless now (some autodetection mecanism added). Hence this
feature is left undocumented. For the happy few still using
specialize in the old manner, beware of the slight incompatibities...
* finally, "contradict" is left as Ltac in Tactics.v, but it has
now a better shape (accepts unfolded nots and/or things in Type),
and also some documentation in the RefMan
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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.
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... but still no idea why it was working fine on some machines
even without this patch...
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- clarifications about Equality on maps
Caveat: name change, what used to be Equal is now Equivb
- the prefered equality predicate (the new Equal) is declared
a setoid equality, along with several morphisms
- beginning of a filter/for_all/exists_/partition section in FMapFacts
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The old version is now a properties in FSetProperties.OrdProperties
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Sequel of commit 10545 on FSetAVL. This time, no compile-time penality
since there are fewer non-structural functions in FMapAVL.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10546 85f007b7-540e-0410-9357-904b9bb8a0f7
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NB: this change adds about 10s of compile-time to a file that is
already taking about 30s on my machine. If somebody strongly objects
to this, contact me. I really think that the gain in uniformity,
clarity, and computability (in Coq) worth the extra compile-time:
no more function-by-tactic, everything (vm_)computes, and quite
efficiently.
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14097)
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Thanks to Elie's work and especially "Include Type ...", full sets can
be simply expressed as extensions of weak sets. Moreover, Facts and
Properties functors can be factorized almost completely. As a result,
things like FSetWeakAAA.BBB can now be found as FSetAAA.WBBB,
Same with maps / weak maps ...
No backward compatibility intended for weak sets / maps, but porting
scripts should mostly amounts to name changes (see above).
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(from A. Bohannon)
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FSetWeakFacts and FSetFacts
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