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This file contains low-level stuff for FSets/FMaps. Switching it to
the new version (the one using Equivalence and so on instead of
eq_refl/eq_sym/eq_trans and so on) only leads to a few changes in
FSets/FMaps that are minor and probably invisible to standard users.
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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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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12310 85f007b7-540e-0410-9357-904b9bb8a0f7
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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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- 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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subtype of the FSet Interface (and idem for FMapWeak / FMap).
1) No eq_dec is officially required in FSetWeakInterface.S.E
(EqualityType instead of DecidableType). But of course,
implementations still needs this eq_dec.
2) elements_3 differs in FSet and FSetWeak (sort vs. nodup). In
FSetWeak we rename it into elements_3w, whereas in FSet we
artificially add elements_3w along to the original elements_3.
Initial steps toward factorization of FSetFacts and FSetWeakFacts,
and so on...
Even if it's not required, FSetWeakList provides a eq_dec on sets,
allowing weak sets of weak sets.
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(A:Type) instead of a (A:Set).
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OrderedType
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9178 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9156 85f007b7-540e-0410-9357-904b9bb8a0f7
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-> OrderedTypeEx: des exemples de OrderedType
-> OrderedTypeAlt: une definition alternative de OrderedType
-> FSetAVL et FMapAVL: realisation a coup d'AVL
-> FMapPositive: realisation a coup d'arbre binaire
(selon les chiffres binaires de la cle)
-> FMapIntMap : realisation en utilisant IntMap
-> FSetToFiniteSet: un ensemble de FSet est un ensemble de Ensemble.v
FSetAVL et FMapAVL prenent 30 secondes chacuns sur ma machine:
on peut ne pas les compiler en passant l'option "-fsets no" a
configure, de facon similaire a "-reals no"
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