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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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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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[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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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.
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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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* "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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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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more general.
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See recent discussion in coq-club.
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fold properties and induction principles for (weak) maps.
- Simplification in SetoidList:
the two important results fold_right_equivlistA and fold_right_add are
now proved without using removeA and hence do not depend anymore on a
decidable equality (good for maps and their arbitrary datas). In
fact, removeA is not used at all anymore, but I leave it here (mostly),
since it can't hurt.
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FSetProperties)
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for FMap (for the moment in FMapFacts).
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