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path: root/theories/Numbers/Natural/Abstract/NBase.v
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2020-09-16Modify Numbers/Natural/Abstract/NBase.v to compile with -mangle-namesJasper Hugunin
2020-03-18Update headers in the whole code base.Théo Zimmermann
Add headers to a few files which were missing them.
2019-06-17Update ml-style headers to new year.Théo Zimmermann
2018-02-27Update headers following #6543.Théo Zimmermann
2017-07-04Bump year in headers.Pierre-Marie Pédrot
2016-01-20Update copyright headers.Maxime Dénès
2015-01-12Update headers.Maxime Dénès
2012-08-08Updating headers.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
2011-01-03Numbers: some improvements in proofsletouzey
- a ltac solve_proper which generalizes solve_predicate_wd and co - using le_elim is nicer that (apply le_lteq; destruct ...) - "apply ->" can now be "apply" most of the time. Benefit: NumPrelude is now almost empty git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13762 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-10-14Numbers : also axiomatize constants 1 and 2.letouzey
Initially, I was using notation 1 := (S 0) and so on. But then, when implementing by NArith or ZArith, some lemmas statements were filled with Nsucc's and Zsucc's instead of 1 and 2's. Concerning BigN, things are rather complicated: zero, one, two aren't inlined during the functor application creating BigN. This is deliberate, at least for the other operations like BigN.add. And anyway, since zero, one, two are defined too early in NMake, we don't have 0%bigN in the body of BigN.zero but something complex that reduce to 0%bigN, same for one and two. Fortunately, apply or rewrite of generic lemmas seem to work, even if there's BigZ.zero on one side and 0 on the other... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13555 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-10-14Numbers: new functions pow, even, odd + many reorganisationsletouzey
- Simplification of functor names, e.g. ZFooProp instead of ZFooPropFunct - The axiomatisations of the different fonctions are now in {N,Z}Axioms.v apart for Z division (three separate flavours in there own files). Content of {N,Z}AxiomsSig is extended, old version is {N,Z}AxiomsMiniSig. - In NAxioms, the recursion field isn't that useful, since we axiomatize other functions and not define them (apart in the toy NDefOps.v). We leave recursion there, but in a separate NAxiomsFullSig. - On Z, the pow function is specified to behave as Zpower : a^(-1)=0 - In BigN/BigZ, (power:t->N->t) is now pow_N, while pow is t->t->t These pow could be more clever (we convert 2nd arg to N and use pow_N). Default "^" is now (pow:t->t->t). BigN/BigZ ring is adapted accordingly - In BigN, is_even is now even, its spec is changed to use Zeven_bool. We add an odd. In BigZ, we add even and odd. - In ZBinary (implem of ZAxioms by ZArith), we create an efficient Zpow to implement pow. This Zpow should replace the current linear Zpower someday. - In NPeano (implem of NAxioms by Arith), we create pow, even, odd functions, and we modify the div and mod functions for them to be linear, structural, tail-recursive. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13546 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-07-24Updated all headers for 8.3 and trunkherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-07-18Reverted 13293 commited mistakenly. Sorry for the noise.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13294 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-07-18Tentative de suppression de l'import automatique des hints et coercions.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13293 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-04-29Remove the svn-specific $Id$ annotationsletouzey
- Many of them were broken, some of them after Pierre B's rework of mli for ocamldoc, but not only (many bad annotation, many files with no svn property about Id, etc) - Useless for those of us that work with git-svn (and a fortiori in a forthcoming git-only setting) - Even in svn, they seem to be of little interest git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12972 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-07Include can accept both Module and Module Typeletouzey
Syntax Include Type is still active, but deprecated, and triggers a warning. The syntax M <+ M' <+ M'', which performs internally an Include, also benefits from this: M, M', M'' can be independantly modules or module type. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12640 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-07Numbers: separation of funs, notations, axioms. Notations via module, ↵letouzey
without scope. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12639 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-05Numbers abstract layer: more Module Type, used especially for divisions.letouzey
Properties are now rather passed as functor arg instead of via Include or some inner modules. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12629 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-11-10Simplification of Numbers, mainly thanks to Includeletouzey
- 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
2009-11-06Numbers: more (syntactic) changes toward new style of type classesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12475 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-11-03Numbers: start using Classes stuff, Equivalence, Proper, Instance, etcletouzey
TODO: finish removing the "Add Relation", "Add Morphism" fun_* fun2_* TODO: now that we have Include, flatten the hierarchy... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12464 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-10-08Init/Tactics.v: tactic with nicer name 'exfalso' for 'elimtype False'letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12380 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-10-08Implicit argument of Logic.eq become maximally insertedletouzey
This allow in particular to write eq instead of (@eq _) in signatures of morphisms. I dont really see how this could break existing code, no change in the stdlib was mandatory. We'll check the contribs tomorrow... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12379 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-12-12Uniformity with the rest of the StdLib : _symm --> _symletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11675 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-06-03In abstract parts of theories/Numbers, plus/times becomes add/mul, letouzey
for increased consistency with bignums parts (commit part II: names of files + additional translation minus --> sub) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11040 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-06-02In abstract parts of theories/Numbers, plus/times becomes add/mul, letouzey
for increased consistency with bignums parts (commit part I: content of files) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11039 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
2008-04-12Add 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
2008-03-06Plug 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
2007-11-14Update 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
2007-11-03An 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
2007-10-01Added 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/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