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* Arithemtic: more concerning compare, eqb, leb, ltbGravatar letouzey2011-06-20
| | | | | | | | | | | | | | | | | | | | Start of a uniform treatment of compare, eqb, leb, ltb: - We now ensure that they are provided by N,Z,BigZ,BigN,Nat and Pos - Some generic properties are derived in OrdersFacts.BoolOrderFacts In BinPos, more work about sub_mask with nice implications on compare (e.g. simplier proof of lt_trans). In BinNat/BinPos, for uniformity, compare_antisym is now (y ?= x) = CompOpp (x ?=y) instead of the symmetrical result. In BigN / BigZ, eq_bool is now eqb In BinIntDef, gtb and geb are kept for the moment, but a comment advise to rather use ltb and leb. Z.div now uses Z.ltb and Z.leb. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14227 85f007b7-540e-0410-9357-904b9bb8a0f7
* BinNat: N.binary_rect is now a definition instead of an opaque proofGravatar letouzey2011-05-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14111 85f007b7-540e-0410-9357-904b9bb8a0f7
* Peano recursion for positive: integration of Daniel Schepler's codeGravatar letouzey2011-05-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14110 85f007b7-540e-0410-9357-904b9bb8a0f7
* Minimal lemmas about Z.gt, N.gt and coGravatar letouzey2011-05-05
| | | | | | | The use of these predicate isn't recommended, but let's at least allow converting > >= and < <= git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14109 85f007b7-540e-0410-9357-904b9bb8a0f7
* Modularisation of Znat, a few name changed elsewhereGravatar letouzey2011-05-05
| | | | | | For instance inj_plus is now Nat2Z.inj_add git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14108 85f007b7-540e-0410-9357-904b9bb8a0f7
* Modularization of BinInt, related fixes in the stdlibGravatar letouzey2011-05-05
| | | | | | | | | | | All the functions about Z is now in a separated file BinIntDef, which is Included in BinInt.Z. This BinInt.Z directly implements ZAxiomsSig, and instantiates derived properties ZProp. Note that we refer to Z instead of t inside BinInt.Z, otherwise ring breaks later on @eq Z.t git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14106 85f007b7-540e-0410-9357-904b9bb8a0f7
* Modularization of NnatGravatar letouzey2011-05-05
| | | | | | | | For instance, nat_of_Nplus is now N2Nat.inj_add Note that we add an iter function in BinNat.N git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14105 85f007b7-540e-0410-9357-904b9bb8a0f7
* Wf.iter_nat becomes Peano.nat_iter (with an implicit arg)Gravatar letouzey2011-05-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14103 85f007b7-540e-0410-9357-904b9bb8a0f7
* BinNatDef containing all functions of BinNat, misc adaptations in BinPosGravatar letouzey2011-05-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14102 85f007b7-540e-0410-9357-904b9bb8a0f7
* Modularization of BinNat + fixes of stdlibGravatar letouzey2011-05-05
| | | | | | | | | | | | A sub-module N in BinNat now contains functions add (ex-Nplus), mul (ex-Nmult), ... and properties. In particular, this sub-module N directly instantiates NAxiomsSig and includes all derived properties NProp. Files Ndiv_def and co are now obsolete and kept only for compat git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14100 85f007b7-540e-0410-9357-904b9bb8a0f7
* Modularization of BinPos + fixes in StdlibGravatar letouzey2011-05-05
| | | | | | | | | | | | | | | | | | | | | | | BinPos now contain a sub-module Pos, in which are placed functions like add (ex-Pplus), mul (ex-Pmult), ... and properties like add_comm, add_assoc, ... In addition to the name changes, the organisation is changed quite a lot, to try to take advantage more of the orders < and <= instead of speaking only of the comparison function. The main source of incompatibilities in scripts concerns this compare: Pos.compare is now a binary operation, expressed in terms of the ex-Pcompare which is ternary (expecting an initial comparision as 3rd arg), this ternary version being called now Pos.compare_cont. As for everything else, compatibility notations (only parsing) are provided. But notations "_ ?= _" on positive will have to be edited, since they now point to Pos.compare. We also make the sub-module Pos to be directly an OrderedType, and include results about min and max. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14098 85f007b7-540e-0410-9357-904b9bb8a0f7
* Definitions of positive, N, Z moved in Numbers/BinNums.vGravatar letouzey2011-05-05
| | | | | | | | | | | | In the coming reorganisation, the name Z in BinInt will be a module containing all code and properties about binary integers. The inductive type Z hence cannot be at the same location. Same for N and positive. Apart for this naming constraint, it also have advantages : presenting the three types at once is clearer, and we will be able to refer to N in BinPos (for instance for output type of a predecessor function on positive). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14097 85f007b7-540e-0410-9357-904b9bb8a0f7
* CompareSpec: a slight generalization/reformulation of CompSpecGravatar letouzey2011-03-17
| | | | | | | | | | | | | | | | | | | CompareSpec expects 3 propositions Peq Plt Pgt instead of 2 relations eq lt and 2 points x y. For the moment, we still always use (Peq=eq x y), (Plt=lt x y) (Pgt=lt y x), but this may not be always the case, especially for Pgt. The former CompSpec is now defined in term of CompareSpec. Compatibility is preserved (except maybe a rare unfold or red to break the CompSpec definition). Typically, CompareSpec looks nicer when we have infix notations, e.g. forall x y, CompareSpec (x=y) (x<y) (y<x) (x?=x) while CompSpec is shorter when we directly refer to predicates: forall x y, CompSpec eq lt x y (compare x y) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13914 85f007b7-540e-0410-9357-904b9bb8a0f7
* Vectors fully use implicit argumentsGravatar pboutill2011-02-10
| | | | | | and take disavantages for maximal insertion git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13827 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remove the "Boxed" syntaxes and the const_entry_boxed fieldGravatar letouzey2011-01-28
| | | | | | | | | | | | | | | | According to B. Gregoire, this stuff is obsolete. Fine control on when to launch the VM in conversion problems is now provided by VMcast. We were already almost never boxing definitions anymore in stdlib files. "(Un)Boxed Definition foo" will now trigger a parsing error, same with Fixpoint. The option "(Un)Set Boxed Definitions" aren't there anymore, but tolerated (as no-ops), since unknown options raise a warning instead of an error by default. Some more cleaning could be done in the vm. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13806 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: simplier spec for testbitGravatar letouzey2011-01-20
| | | | | | | | | | | | We now specify testbit by some initial and recursive equations. The previous spec (via a complex split of the number in low and high parts) is now a derived property in {N,Z}Bits.v This way, proofs of implementations are quite simplier. Note that these new specs doesn't imply anymore that testbit is a morphism, we have to add this as a extra spec (but this lead to trivial proofs when implementing). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13792 85f007b7-540e-0410-9357-904b9bb8a0f7
* Ndigits: a Pshiftl_nat used in BigN (was double_digits there)Gravatar letouzey2011-01-04
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13764 85f007b7-540e-0410-9357-904b9bb8a0f7
* Cosmetic : let's take advantage of the n-ary exists notationGravatar letouzey2010-12-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13721 85f007b7-540e-0410-9357-904b9bb8a0f7
* First release of Vector library.Gravatar pboutill2010-12-10
| | | | | | | | | | To avoid names&notations clashs with list, Vector shouldn't be "Import"ed but one can "Import Vector.VectorNotations." to have notations. SetoidVector at least remains to do. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13702 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers and bitwise functions.Gravatar letouzey2010-12-06
| | | | | | | | | | | | | | | | | | | | | | | See NatInt/NZBits.v for the common axiomatization of bitwise functions over naturals / integers. Some specs aren't pretty, but easier to prove, see alternate statements in property functors {N,Z}Bits. Negative numbers are considered via the two's complement convention. We provide implementations for N (in Ndigits.v), for nat (quite dummy, just for completeness), for Z (new file Zdigits_def), for BigN (for the moment partly by converting to N, to be improved soon) and for BigZ. NOTA: For BigN.shiftl and BigN.shiftr, the two arguments are now in the reversed order (for consistency with the rest of the world): for instance BigN.shiftl 1 10 is 2^10. NOTA2: Zeven.Zdiv2 is _not_ doing (Zdiv _ 2), but rather (Zquot _ 2) on negative numbers. For the moment I've kept it intact, and have just added a Zdiv2' which is truly equivalent to (Zdiv _ 2). To reorganize someday ? git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13689 85f007b7-540e-0410-9357-904b9bb8a0f7
* Some more revision of {P,N,Z}Arith + bitwise ops in NdigitsGravatar letouzey2010-11-18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Initial plan was only to add shiftl/shiftr/land/... to N and other number type, this is only partly done, but this work has diverged into a big reorganisation and improvement session of PArith,NArith,ZArith. Bool/Bool: add lemmas orb_diag (a||a = a) and andb_diag (a&&a = a) PArith/BinPos: - added a power function Ppow - iterator iter_pos moved from Zmisc to here + some lemmas - added Psize_pos, which is 1+log2, used to define Nlog2/Zlog2 - more lemmas on Pcompare and succ/+/* and order, allow to simplify a lot some old proofs elsewhere. - new/revised results on Pminus (including some direct proof of stuff from Pnat) PArith/Pnat: - more direct proofs (limit the need of stuff about Pmult_nat). - provide nicer names for some lemmas (eg. Pplus_plus instead of nat_of_P_plus_morphism), compatibility notations provided. - kill some too-specific lemmas unused in stdlib + contribs NArith/BinNat: - N_of_nat, nat_of_N moved from Nnat to here. - a lemma relating Npred and Nminus - revised definitions and specification proofs of Npow and Nlog2 NArith/Nnat: - shorter proofs. - stuff about Z_of_N is moved to Znat. This way, NArith is entirely independent from ZArith. NArith/Ndigits: - added bitwise operations Nand Nor Ndiff Nshiftl Nshiftr - revised proofs about Nxor, still using functional bit stream - use the same approach to prove properties of Nand Nor Ndiff ZArith/BinInt: huge simplification of Zplus_assoc + cosmetic stuff ZArith/Zcompare: nicer proofs of ugly things like Zcompare_Zplus_compat ZArith/Znat: some nicer proofs and names, received stuff about Z_of_N ZArith/Zmisc: almost empty new, only contain stuff about badly-named iter. Should be reformed more someday. ZArith/Zlog_def: Zlog2 is now based on Psize_pos, this factorizes proofs and avoid slowdown due to adding 1 in Z instead of in positive Zarith/Zpow_def: Zpower_opt is renamed more modestly Zpower_alt as long as I dont't know why it's slower on powers of two. Elsewhere: propagate new names + some nicer proofs NB: Impact on compatibility is probably non-zero, but should be really moderate. We'll see on contribs, but a few Require here and there might be necessary. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13651 85f007b7-540e-0410-9357-904b9bb8a0f7
* Integer division: quot and rem (trunc convention) in addition to div and modGravatar letouzey2010-11-10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (floor convention). We follow Haskell naming convention: quot and rem are for Round-Toward-Zero (a.k.a Trunc, what Ocaml, C, Asm do by default, cf. the ex-ZOdiv file), while div and mod are for Round-Toward-Bottom (a.k.a Floor, what Coq does historically in Zdiv). We use unicode ÷ for quot, and infix rem for rem (which is actually remainder in full). This way, both conventions can be used at the same time. Definitions (and proofs of specifications) for div mod quot rem are migrated in a new file Zdiv_def. Ex-ZOdiv file is now Zquot. With this new organisation, no need for functor application in Zdiv and Zquot. On the abstract side, ZAxiomsSig now provides div mod quot rem. Zproperties now contains properties of them. In NZDiv, we stop splitting specifications in Common vs. Specific parts. Instead, the NZ specification is be extended later, even if this leads to a useless mod_bound_pos, subsumed by more precise axioms. A few results in ZDivTrunc and ZDivFloor are improved (sgn stuff). A few proofs in Nnat, Znat, Zabs are reworked (no more dependency to Zmin, Zmax). A lcm (least common multiple) is derived abstractly from gcd and division (and hence available for nat N BigN Z BigZ :-). In these new files NLcm and ZLcm, we also provide some combined properties of div mod quot rem gcd. We also provide a new file Zeuclid implementing a third division convention, where the remainder is always positive. This file instanciate the abstract one ZDivEucl. Operation names are ZEuclid.div and ZEuclid.modulo. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13633 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: axiomatization, properties and implementations of gcdGravatar letouzey2010-11-05
| | | | | | | | | | | | | | | | | | | - For nat, we create a brand-new gcd function, structural in the sense of Coq, even if it's Euclid algorithm. Cool... - We re-organize the Zgcd that was in Znumtheory, create out of it files Pgcd, Ngcd_def, Zgcd_def. Proofs of correctness are revised in order to be much simpler (no omega, no advanced lemmas of Znumtheory, etc). - Abstract Properties NZGcd / ZGcd / NGcd could still be completed, for the moment they contain up to Gauss thm. We could add stuff about (relative) primality, relationship between gcd and div,mod, or stuff about parity, etc etc. - Znumtheory remains as it was, apart for Zgcd and correctness proofs gone elsewhere. We could later take advantage of ZGcd in it. Someday, we'll have to switch from the current Zdivide inductive, to Zdivide' via exists. To be continued... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13623 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers : log2. Abstraction, properties and implementations.Gravatar letouzey2010-11-02
| | | | | | | | | | Btw, we finally declare the original Zpower as the power on Z. We should switch to a more efficient one someday, but in the meantime BigN is proved with respect to the old one. TODO: reform Zlogarithm with respect to Zlog_def git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13606 85f007b7-540e-0410-9357-904b9bb8a0f7
* NArith: a log2 functionGravatar letouzey2010-11-02
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13605 85f007b7-540e-0410-9357-904b9bb8a0f7
* Move stuff about positive into a distinct PArith subdirGravatar letouzey2010-11-02
| | | | | | | Beware! after this, a ./configure must be done. It might also be a good idea to chase any phantom .vo remaining after a make clean git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13601 85f007b7-540e-0410-9357-904b9bb8a0f7
* Still another Open Scope than should be LocalGravatar letouzey2010-10-22
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13571 85f007b7-540e-0410-9357-904b9bb8a0f7
* Add sqrt in NumbersGravatar letouzey2010-10-19
| | | | | | | | | | | | | | | | | | | | | | As for power recently, we add a specification in NZ,N,Z, derived properties, implementations for nat, N, Z, BigN, BigZ. - For nat, this sqrt is brand new :-), cf NPeano.v - For Z, we rework what was in Zsqrt: same algorithm, no more refine but a pure function, based now on a sqrt for positive, from which we derive a Nsqrt and a Zsqrt. For the moment, the old Zsqrt.v file is kept as Zsqrt_compat.v. It is not loaded by default by Require ZArith. New definitions are now in Psqrt.v, Zsqrt_def.v and Nsqrt_def.v - For BigN, BigZ, we changed the specifications to refer to Zsqrt instead of using characteristic inequations. On the way, many extensions, in particular BinPos (lemmas about order), NZMulOrder (results about squares) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13564 85f007b7-540e-0410-9357-904b9bb8a0f7
* NArith: add some functions Neven and NoddGravatar letouzey2010-10-14
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13544 85f007b7-540e-0410-9357-904b9bb8a0f7
* NArith: Definition of a Npow power functionGravatar letouzey2010-10-14
| | | | | | | | | | | | | By the way, adds an Piter_op iterator : Piter_op op p a is "a op a ... op a" with a occurring p times. It could be use to define Pmult_nat and hence nat_of_P (not fully done for maintaining compatibility). Unlike iter_pos, Piter_op is logarithmic in p, not linear. Note: We should adapt someday the brain-damaged Zpower to make it use Piter_op instead of iter_pos. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13543 85f007b7-540e-0410-9357-904b9bb8a0f7
* Updated all headers for 8.3 and trunkGravatar herbelin2010-07-24
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
* Reverted 13293 commited mistakenly. Sorry for the noise.Gravatar herbelin2010-07-18
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13294 85f007b7-540e-0410-9357-904b9bb8a0f7
* Tentative de suppression de l'import automatique des hints et coercions.Gravatar herbelin2010-07-18
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13293 85f007b7-540e-0410-9357-904b9bb8a0f7
* Made option "Automatic Introduction" active by default before too manyGravatar herbelin2010-06-08
| | | | | | | people use the undocumented "Lemma foo x : t" feature in a way incompatible with this activation. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13090 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remove the svn-specific $Id$ annotationsGravatar letouzey2010-04-29
| | | | | | | | | | | - 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
* Kill some useless dependencies (Bvector, Program.Syntax)Gravatar letouzey2010-02-17
| | | | | | | | Bvector uses only Minus, so let's avoid loading Arith (and hence ArithRing and hence parts of Z, N) Program.Syntax no longer need Lists now that list is in Datatypes. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12785 85f007b7-540e-0410-9357-904b9bb8a0f7
* Euclidean division for NArithGravatar letouzey2010-02-10
| | | | | | | | | There was already a Ndiv and Nmod, but hiddent in ZOdiv_def. We higlight it by putting it in a separate file, prove its specification without using Z (but for the moment can't avoid a detour via nat, though), and then instantiate general results from Natural/Abstract/NDiv git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12726 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: properties of min/max with respect to 0,S,P,add,sub,mulGravatar letouzey2010-02-09
| | | | | | | | | With these properties, we can kill Arith/MinMax, NArith/Nminmax, and leave ZArith/Zminmax as a compatibility file only. Now the instanciations NPeano.Nat, NBinary.N, ZBinary.Z, BigZ, BigN contains all theses facts. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12718 85f007b7-540e-0410-9357-904b9bb8a0f7
* NBinary improved, contains more, subsumes NOrderedTypeGravatar letouzey2010-02-09
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12715 85f007b7-540e-0410-9357-904b9bb8a0f7
* Nicer names: DecidableType2* --> Equalities*, OrderedType2* --> Orders*Gravatar letouzey2010-01-07
| | | | | | | Old stuff DecidableType.v and OrderedType.v stay there and keep their names for the moment, for compatibility. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12641 85f007b7-540e-0410-9357-904b9bb8a0f7
* Rework of GenericMinMax: new axiomatic, split logical/decidable parts, ↵Gravatar letouzey2010-01-07
| | | | | | | | | | Leibniz part Moreover, instantiation like MinMax are now made without redefining generic properties (easier maintenance). We start using inner modules for qualifying (e.g. Z.max_comm). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12638 85f007b7-540e-0410-9357-904b9bb8a0f7
* OrderTac: use TotalOrder, no more "change" before calling "order" (stuff ↵Gravatar letouzey2010-01-07
| | | | | | with Inline) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12636 85f007b7-540e-0410-9357-904b9bb8a0f7
* Reverse order of arguments in min_case_strong for better uniformity (and ↵Gravatar letouzey2009-12-17
| | | | | | compatibility...) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12595 85f007b7-540e-0410-9357-904b9bb8a0f7
* Factorisation between Makefile and ocamlbuild systems : .vo to compile are ↵Gravatar letouzey2009-12-09
| | | | | | | | | | | | in */*/vo.itarget On the way: no more -fsets (yes|no) and -reals (yes|no) option of configure if you want a partial build, make a specific rule such as theories-light Beware: these vo.itarget should not contain comments. Even if this is legal for ocamlbuild, the $(shell cat ...) we do in Makefile can't accept that. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12574 85f007b7-540e-0410-9357-904b9bb8a0f7
* Taking advantage of the new "Include Self Type" in DecidableType2 and NZAxiomsGravatar letouzey2009-11-16
| | | | | | | We can now have a diamond-like approch to extentions of signatures, instead of a linear-only chains as earlier... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12529 85f007b7-540e-0410-9357-904b9bb8a0f7
* Better compatibility for PeqbGravatar letouzey2009-11-11
| | | | | | | | | As show by contrib TreeAutomata, the Peqb now placed in BinPos was using 1st arg as "struct", instead of 2nd arg as earlier. Fix that, and remove the "Import BinPos BinNat" hack in Ndec (merci Hugo :-). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12503 85f007b7-540e-0410-9357-904b9bb8a0f7
* DecidableType: A specification via boolean equality as an alternative to eq_decGravatar letouzey2009-11-10
| | | | | | + adaptation of {Nat,N,P,Z,Q,R}_as_DT for them to provide both eq_dec and eqb git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12488 85f007b7-540e-0410-9357-904b9bb8a0f7
* Better visibility of the inductive CompSpec used to specify comparison functionsGravatar letouzey2009-11-03
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 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
* Remove various useless {struct} annotationsGravatar letouzey2009-11-02
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12458 85f007b7-540e-0410-9357-904b9bb8a0f7
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