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* Simplification of Numbers, mainly thanks to IncludeGravatar letouzey2009-11-10
| | | | | | | | | | | | | | | | | - No more nesting of Module and Module Type, we rather use Include. - Instead of in-name-qualification like NZeq, we use uniform short names + modular qualification like N.eq when necessary. - Many simplification of proofs, by some autorewrite for instance - In NZOrder, we instantiate an "order" tactic. - Some requirements in NZAxioms were superfluous: compatibility of le, min and max could be derived from the rest. - NMul removed, since it was containing only an ad-hoc result for ZNatPairs, that we've inlined in the proof of mul_wd there. - Zdomain removed (was already not compiled), idea of a module with eq and eqb reused in DecidableType.BooleanEqualityType. - ZBinDefs don't contain any definition now, migrate it to ZBinary. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12489 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: finish files NStrongRec and NDefOpsGravatar letouzey2009-11-06
| | | | | | | | | | | | | | | | | | - NStrongRec provides a "strong" recursor based on the usual one: recursive calls can be done here on any lower value. See binary log in NDefOps for an example of use. - NDefOps contains alternative definitions of usual operators (add, mul, ltb, pow, even, half, log) via usual or strong recursor, and proofs of correctness and/or of equivalence with axiomatized operators. These files were in the archive but not being compiled, some proofs of correction for functions defined there were missing. By the way, some more iff-style lemmas in Bool. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12476 85f007b7-540e-0410-9357-904b9bb8a0f7
* ROrderedType + Rminmax : Coq's Reals can be seen as OrderedType.Gravatar letouzey2009-11-03
| | | | | | | | This way we get properties of Rmin / Rmax (almost) for free. TODO: merge Rbasic_fun and Rminmax... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12463 85f007b7-540e-0410-9357-904b9bb8a0f7
* OrderedType implementation for various numerical datatypes + min/max structuresGravatar letouzey2009-11-03
| | | | | | | | | | | | | | | | | | | | | | | | - A richer OrderedTypeFull interface : OrderedType + predicate "le" - Implementations {Nat,N,P,Z,Q}OrderedType.v, also providing "order" tactics - By the way: as suggested by S. Lescuyer, specification of compare is now inductive - GenericMinMax: axiomatisation + properties of min and max out of OrderedTypeFull structures. - MinMax.v, {Z,P,N,Q}minmax.v are specialization of GenericMinMax, with also some domain-specific results, and compatibility layer with already existing results. - Some ML code of plugins had to be adapted, otherwise wrong "eq", "lt" or simimlar constants were found by functions like coq_constant. - Beware of the aliasing problems: for instance eq:=@eq t instead of eq:=@eq M.t in Make_UDT made (r)omega stopped working (Z_as_OT.t instead of Z in statement of Zmax_spec). - Some Morphism declaration are now ambiguous: switch to new syntax anyway. - Misc adaptations of FSets/MSets - Classes/RelationPairs.v: from two relations over A and B, we inspect relations over A*B and their properties in terms of classes. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12461 85f007b7-540e-0410-9357-904b9bb8a0f7
* FSetCompat: a compatibility wrapper between FSets and MSetsGravatar letouzey2009-10-20
| | | | | | | | | | | | Thanks to the functors in FSetCompat, the three implementations of FSets (FSetWeakList, FSetList, FSetAVL) are just made of a few lines adapting the corresponding MSets implementation to the old interface. This approach breaks FSetFullAVL. Since this file is of little use for stdlib users, we migrate it into contrib Orsay/FSets. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12402 85f007b7-540e-0410-9357-904b9bb8a0f7
* Merge SetoidList2 into SetoidList.Gravatar letouzey2009-10-19
| | | | | | | | | 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. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12400 85f007b7-540e-0410-9357-904b9bb8a0f7
* Structure/OrderTac.v : highlight the "order" tactic by isolating it from ↵Gravatar letouzey2009-10-16
| | | | | | | | | | | | | | FSets, and improve it As soon as you have a eq, a lt and a le (that may be lt\/eq, or (complement (flip (lt))) and a few basic properties over them, you can instantiate functor MakeOrderTac and gain an "order" tactic. See comments in the file for the scope of this tactic. NB: order doesn't call auto anymore. It only searches for a contradiction in the current set of (in)equalities (after the goal was optionally turned into hyp by double negation). Thanks to S. Lescuyer for his suggestions about this tactic. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12397 85f007b7-540e-0410-9357-904b9bb8a0f7
* MSets: a new generation of FSetsGravatar letouzey2009-10-13
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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
* Remove useless MonoList.vGravatar glondu2009-09-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12339 85f007b7-540e-0410-9357-904b9bb8a0f7
* Ocamlbuild: improvements suggested by N. PouillardGravatar letouzey2009-04-03
* Import of Coq_config via myocamlbuild_config.ml, instead of my get_env * As a consequence, we enrich this Coq_config with stuff that was only in config/Makefile * replace the big ugly find by some dependencies against source files * by the way: build csdpcert, with the right aliases. I've tried to escape things properly for windows in ./configure, but this isn't fully tested yet. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12046 85f007b7-540e-0410-9357-904b9bb8a0f7