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2008-05-17ZModulo: Z viewed modulo 2^digits implements CyclicAxiomsletouzey
This isn't useful for BigN et BigZ, but it can't hurt; and moreover it's a simple way to understand CyclicAxioms. Next step: proving that Int31 is also an implementation of CyclicAxiom. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10942 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-17Fix a de Bruijn bug in setoid_rewrite when rewriting undermsozeau
a non-dependent product under a lambda. Now qiff can be replaced by a simple setoid_rewrite in NumPrelude. Change configure to not do stripping if compiling with -g... Add -g / CAMLDEBUG flags to the native compilation command too. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10941 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-16Filename ZnZ (or Z_nZ in a later attempt) is neither pretty nor accurateletouzey
(n _must_ in fact be a power of 2). Worse: Z_31Z is just plain wrong since it is Z/(2^31)Z and not Z/31Z (my fault). As a consequence, switch to CyclicAxioms, Cyclic31, DoubleCyclic, etc git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10940 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-16BigNum: more reorganization, mainly moves GenXYZ to DoubleXYZletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10939 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-16ZTreeMod was meant to prove that BigZ correspond to the Integer Axioms.letouzey
In fact, for the moment, it was only containing a proof that Z/nZ implements the NatInt NZAxiomsSig. We move it to a more meaningful place and name. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10937 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-16More BigNum cleanup: letouzey
* View of Int31 as a Z/nZ moved to file Z31Z.v (TO FINISH: specs are still admitted!) * Modular specification of Z/nZ moved to ZnZ and renamed CyclicType * More isolation between Cyclic/Abstract and Cyclic/DoubleCyclic * A few comments git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10936 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-15In practice, the new setoid rewrite (and the "at" syntax) allows to avoid letouzey
using the ad-hoc qsetoid_rewrite. Could QRewrite.v be made completely obsolete ? For the moment rewrite under fun and exists don't work. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10935 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-15Coq headers + $ in theories/Numbers filesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10934 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-11- Changement du code de Zplus pour accomoder ring qui sinon prend uneherbelin
complexité exponentielle dans la machine lazy depuis que l'algo de compilation du filtrage évite systématiquement d'expanser quand le filtrage n'est pas dépendant. - Un peu plus de colorisation dans coqide. - Utilisation de formats pour améliorer de l'affichage des notations Utf8. - Systématisation paire Local/Global dans g_vernac.ml4 (même si le défaut n'est pas toujours le même) - Bug Makefile git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10918 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-08remove mention of an obsolete limitation of Add Morphismletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10908 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-08Oups, my new version of NMake_gen.ml was relying on a 3.10 feature:letouzey
the very handy Printf.ifprintf was not available on earlier ocaml. This file now uses a very dirty compatibility hack. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10906 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-08Integration of theories/Ints into theories/Numbers, again : better ↵letouzey
generation of NMake.v - genN.ml becomes NMake_gen.ml - no need to produce the corresponding binary: we use ocaml NMake_gen.ml > NMake.v - beware! redoing a ./configure is mandatory after this commit git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10903 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-08Integration of theories/Ints into theories/Numbers, part 3: auto-generation ↵letouzey
of NMake.v git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10902 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-07Integration of theories/Ints into theories/Numbers, part 1: moving filesletouzey
For the moment, the Ints files are simply moved into directories in theories/Numbers with meaningful names. No filenames changed, apart from: Zaux.v -> theories/Numbers/BigNumPrelude.v MemoFn.v -> theories/Lists/StreamMemo.v More to come... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10899 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-04-27Suite r10857herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10858 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-04-16Definition of N moves back to BinNat (partial backtrack of commits 10298-10300)letouzey
This way, no more references to NBinDefs.N when doing "Print N". Long-term migration to theories/Numbers is still planned, but it needs more works, for instance to adapt both positive and N and Z at once. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10806 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-04-12Add the ability to specify what to do with free variables in instancemsozeau
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
2008-03-16Reorganize Program and Classes theories. Requiring Setoid no longer setsmsozeau
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
2008-03-07Fix bug #1704 (ordering of condition goals for (setoid)rewrite). As partmsozeau
of the fix I added an optional "by" annotation for rewrite to solve said conditions in the same tactic call. Most of the theories have been updated, only FSets is missing, Pierre will take care of it. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10634 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-03-06Plug the new setoid implemtation in, leaving the original one commentedmsozeau
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
2007-11-22An update on Numbers. Added two files dealing with recursion, for ↵emakarov
information only. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10330 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-16Added theorems; created NZPlusOrder from NTimesOrder.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10325 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-15Split NTimesOrder into properly NTimesOrder and NPlusOrder.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10324 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-14Update on Numbers; renamed ZOrder.v to ZLt to remove clash with ↵emakarov
ZArith/Zorder on MacOS. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10323 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-08Moved several lemmas from theories/Numbers/NumPrelude to theories/Init/Logic.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10304 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-07Replaced BinNat with a new version that is based on ↵emakarov
theories/Numbers/Natural/Binary/NBinDefs. Most of the entities in the new BinNat are notations for the development in Numbers. Also added min and max to the new natural numbers and integers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10298 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-06Integration of theories/Ints/Z/* in ZArith and large cleanup and extension ↵letouzey
of Zdiv Some details: - ZAux.v is the only file left in Ints/Z. The few elements that remain in it are rather specific or compatibility oriented. Others parts and files have been either deleted when unused or pushed into some place of ZArith. - Ints/List/ is removed since it was not needed anymore - Ints/Tactic.v disappear: some of its tactic were unused, some already in Tactics.v (case_eq, f_equal instead of eq_tac), and the nice contradict has been added to Tactics.v - Znumtheory inherits lots of results about Zdivide, rel_prime, prime, Zgcd, ... - A new file Zpow_facts inherits lots of results about Zpower. Placing them into Zpower would have been difficult with respect to compatibility (import of ring) - A few things added to Zmax, Zabs, Znat, Zsqrt, Zeven, Zorder - Adequate adaptations to Ints/num/* (mainly renaming of lemmas) Now, concerning Zdiv, the behavior when dividing by a negative number is now fully proved. When this was possible, existing lemmas has been extended, either from strictly positive to non-zero divisor, or even to arbitrary divisor (especially when playing with Zmod). These extended lemmas are named with the suffix _full, whereas the original restrictive lemmas are retained for compatibility. Several lemmas now have shorter proofs (based on unicity lemmas). Lemmas are now more or less organized by themes (division and order, division and usual operations, etc). Three possible choices of spec for divisions on negative numbers are presented: this Zdiv, the ocaml approach and the remainder-always-positive approach. The ugly behavior of Zopp with the current choice of Zdiv/Zmod is now fully covered. A embryo of division "a la Ocaml" is given: Odiv and Omod. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10291 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-03An update of theories/Numbersemakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10285 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-23Added Numbers/Natural/Abstract/NIso.v that proves that any two models of ↵emakarov
natural numbers are isomorphic. Added NatScope and IntScope for abstract developments. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10247 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-16Added transitivity and irreflexivity of <, as well as < -elimination for ↵emakarov
binary positive numbers. Added directory contribs/micromega with the generalization of Frédéric Besson's micromega tactic for an arbitrary ordered ring. So far no tactic has been defined. One has to apply the theorems and find the certificate, which is necessary to solve inequations, manually. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10226 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-04Added the proof (in Numbers/Integers/TreeMod) that tree-like representation ↵emakarov
of integers due to Gregoire and Théry satisfies the axioms of integers without order. This refers to integers modulo n, i.e., those that fit trees of certain size, not to BigZ. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10178 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-02The following now compiles: abstract integers with plus, minus and times, ↵emakarov
binary implementation and integers as pairs of natural numbers git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10167 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-01Added the compilation of theories/Numbers to Makefile.common. The following ↵emakarov
things compile: abstract natural numbers and integers with plus, times, minus, and order; Peano and binary implementations for natural numbers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10161 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-09-25An update on theories/Numbers.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10142 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-09-21Update on theories/Numbersemakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10133 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-09-21Update on theories/Numbers. Natural numbers are mostly complete,emakarov
need to make NZOrdAxiomsSig a subtype of NAxiomsSig. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10132 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-09-13Update before joining all signatures into one.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10119 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-08-13An update on axiomatic number classes.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10075 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-24An update on axiomatization of numbers.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10041 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-13An update on axiomatization of number classes.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10002 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-06Update of theories/Numbers directory.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9955 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-07-05Update on numbers.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9947 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-06-29Added the directory theories/Numbers where axiomatizations and ↵emakarov
implementations (unary, binary, etc.) of different number classes (natural, integer, rational, real, complex, etc.) will be stored.Currently there are axiomatized natural numbers with two implementations and axiomatized integers. Modified Makefile accordingly but dod not include the new files in THEORIESVO yet. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9916 85f007b7-540e-0410-9357-904b9bb8a0f7
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