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* BigNums: remove files about BigN,BigZ,BigQ (now in an separate git repo)Gravatar Pierre Letouzey2017-06-13
| | | | | | See now https://github.com/coq/bignums Int31 is still in the stdlib. Some proofs there has be adapted to avoid the need for BigNumPrelude.
* Extending "contradiction" so that it recognizes statements such as "~x=x" or ↵Gravatar Hugo Herbelin2016-09-15
| | | | | | | | | | ~True. Found 1 incompatibility in tested contribs and 3 times the same pattern of incompatibility in the standard library. In all cases, it is an improvement in the form of the script. New behavior deactivated when version is <= 8.5.
* Giving a more natural semantics to injection by default.Gravatar Hugo Herbelin2016-06-18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | There were three versions of injection: 1. "injection term" without "as" clause: was leaving hypotheses on the goal in reverse order 2. "injection term as ipat", first version: was introduction hypotheses using ipat in reverse order without checking that the number of ipat was the size of the injection (activated with "Unset Injection L2R Pattern Order") 3. "injection term as ipat", second version: was introduction hypotheses using ipat in left-to-right order checking that the number of ipat was the size of the injection and clearing the injecting term by default if an hypothesis (activated with "Set Injection L2R Pattern Order", default one from 8.5) There is now: 4. "injection term" without "as" clause, new version: introducing the components of the injection in the context in left-to-right order using default intro-patterns "?" and clearing the injecting term by default if an hypothesis (activated with "Set Structural Injection") The new versions 3. and 4. are the "expected" ones in the sense that they have the following good properties: - introduction in the context is in the natural left-to-right order - "injection" behaves the same with and without "as", always introducing the hypotheses in the goal what corresponds to the natural expectation as the changes I made in the proof scripts for adaptation confirm - clear the "injection" hypothesis when an hypothesis which is the natural expectation as the changes I made in the proof scripts for adaptation confirm The compatibility can be preserved by "Unset Structural Injection" or by calling "simple injection". The flag is currently off.
* Making parentheses mandatory in tactic scopes.Gravatar Pierre-Marie Pédrot2016-03-04
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* Update copyright headers.Gravatar Maxime Dénès2016-01-20
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* Update headers.Gravatar Maxime Dénès2015-01-12
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* Arith: full integration of the "Numbers" modular frameworkGravatar Pierre Letouzey2014-07-09
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | - The earlier proof-of-concept file NPeano (which instantiates the "Numbers" framework for nat) becomes now the entry point in the Arith lib, and gets renamed PeanoNat. It still provides an inner module "Nat" which sums up everything about type nat (functions, predicates and properties of them). This inner module Nat is usable as soon as you Require Import Arith, or just Arith_base, or simply PeanoNat. - Definitions of operations over type nat are now grouped in a new file Init/Nat.v. This file is meant to be used without "Import", hence providing for instance Nat.add or Nat.sqrt as soon as coqtop starts (but no proofs about them). - The definitions that used to be in Init/Peano.v (pred, plus, minus, mult) are now compatibility notations (for Nat.pred, Nat.add, Nat.sub, Nat.mul where here Nat is Init/Nat.v). - This Coq.Init.Nat module (with only pure definitions) is Include'd in the aforementioned Coq.Arith.PeanoNat.Nat. You might see Init.Nat sometimes instead of just Nat (for instance when doing "Print plus"). Normally it should be ok to just ignore these "Init" since Init.Nat is included in the full PeanoNat.Nat. I'm investigating if it's possible to get rid of these "Init" prefixes. - Concerning predicates, orders le and lt are still defined in Init/Peano.v, with their notations "<=" and "<". Properties in PeanoNat.Nat directly refer to these predicates in Peano. For instantation reasons, PeanoNat.Nat also contains a Nat.le and Nat.lt (defined via "Definition le := Peano.le", we cannot yet include an Inductive to implement a Parameter), but these aliased predicates won't probably be very convenient to use. - Technical remark: I've split the previous property functor NProp in two parts (NBasicProp and NExtraProp), it helps a lot for building PeanoNat.Nat incrementally. Roughly speaking, we have the following schema: Module Nat. Include Coq.Init.Nat. (* definition of operations : add ... sqrt ... *) ... (** proofs of specifications for basic ops such as + * - *) Include NBasicProp. (** generic properties of these basic ops *) ... (** proofs of specifications for advanced ops (pow sqrt log2...) that may rely on proofs for + * - *) Include NExtraProp. (** all remaining properties *) End Nat. - All other files in directory Arith are now taking advantage of PeanoNat : they are now filled with compatibility notations (when earlier lemmas have exact counterpart in the Nat module) or lemmas with one-line proofs based on the Nat module. All hints for database "arith" remain declared in these old-style file (such as Plus.v, Lt.v, etc). All the old-style files are still Require'd (or not) by Arith.v, just as before. - Compatibility should be almost complete. For instance in the stdlib, the only adaptations were due to .ml code referring to some Coq constant name such as Coq.Init.Peano.pred, which doesn't live well with the new compatibility notations.
* More dynamic argument scopesGravatar letouzey2013-07-17
| | | | | | | | | | | | | | | | | | | | When arguments scopes are set manually, nothing new, they stay as they are (until maybe another Arguments invocation). But when argument scopes are computed out of the argument type and the Bind Scope information, this kind of scope is now dynamic: a later Bind Scope will be able to impact the scopes of an earlier constant. For Instance: Definition f (n:nat) := n. About f. (* Argument scope is [nat_scope] *) Bind Scope other_scope with nat. About f. (* Argument scope is [other_scope] *) This allows to get rid of hacks for modifying scopes during functor applications. Moreover, the subst_arguments_scope is now environment-insensitive (needed for forthcoming changes in declaremods). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16626 85f007b7-540e-0410-9357-904b9bb8a0f7
* Updating headers.Gravatar herbelin2012-08-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
* induction/destruct : nicer syntax for generating equations (solves #2741)Gravatar letouzey2012-07-09
| | | | | | | | | | | | | | | | | | The ugly syntax "destruct x as [ ]_eqn:H" is replaced by: destruct x eqn:H destruct x as [ ] eqn:H Some with induction. Of course, the pattern behind "as" is arbitrary. For an anonymous version, H could be replaced by ?. The old syntax with "_eqn" still works for the moment, by triggers a warning. For making this new syntax work, we had to change the seldom-used "induction x y z using foo" into "induction x, y, z using foo". Now, only one "using" can be used per command instead of one per comma-separated group earlier, but I doubt this will bother anyone. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15566 85f007b7-540e-0410-9357-904b9bb8a0f7
* ZArith + other : favor the use of modern names instead of compat notationsGravatar letouzey2012-07-05
| | | | | | | | | | | | | | | | | | - For instance, refl_equal --> eq_refl - Npos, Zpos, Zneg now admit more uniform qualified aliases N.pos, Z.pos, Z.neg. - A new module BinInt.Pos2Z with results about injections from positive to Z - A result about Z.pow pushed in the generic layer - Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l} - Using tactic Z.le_elim instead of Zle_lt_or_eq - Some cleanup in ring, field, micromega (use of "Equivalence", "Proper" ...) - Some adaptions in QArith (for instance changed Qpower.Qpower_decomp) - In ZMake and ZMake, functor parameters are now named NN and ZZ instead of N and Z for avoiding confusions git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7
* theories/, plugins/ and test-suite/ ported to the Arguments vernacularGravatar gareuselesinge2011-11-21
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14718 85f007b7-540e-0410-9357-904b9bb8a0f7
* Deletion of useless Zdigits_defGravatar letouzey2011-06-28
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14247 85f007b7-540e-0410-9357-904b9bb8a0f7
* Deletion of useless Zlog_defGravatar letouzey2011-06-28
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14246 85f007b7-540e-0410-9357-904b9bb8a0f7
* Deletion of useless Zsqrt_defGravatar letouzey2011-06-28
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14245 85f007b7-540e-0410-9357-904b9bb8a0f7
* Some cleanup of Zdiv and Zquot, deletion of useless Zdiv_defGravatar letouzey2011-06-28
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14244 85f007b7-540e-0410-9357-904b9bb8a0f7
* 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
* 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
* An automatic substitution of scope at functor applicationGravatar letouzey2011-02-11
| | | | | | | | | | | | | | | | | | | For Argument Scope, we now record types (more precisely classes cl_typ) in addition to scope list. After substitution (e.g. at functor application), the new types are used to search for corresponding concrete scopes. Currently, this automatic scope substitution of argument scope takes precedence (if successful) over scope declared in the functor (even by the user). On the opposite, the manual scope substitution (cf last commit introducing annotation [scope foo to bar]) is done _after_ the automatic scope substitution. TODO: if this behavior is satisfactory, document it ... Note that Classops.find_class_type lose its env args since it was actually unused, and is now used for Notation.find_class git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13840 85f007b7-540e-0410-9357-904b9bb8a0f7
* Annotations at functor applications:Gravatar letouzey2011-02-11
| | | | | | | | | | | | | - The experimental syntax "<30>F M" is transformed into "F M [inline at level 30]" - The earlier syntax !F X should now be written "F X [no inline]" (note that using ! is still possible for compatibility) - A new annotation "F M [scope foo_scope to bar_scope]" allow to substitute foo_scope by bar_scope in all arguments scope of objects in F. BigN and BigZ are cleaned from the zillions of Arguments Scope used earlier. Arguments scope for lemmas are fixed for instances of Numbers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13839 85f007b7-540e-0410-9357-904b9bb8a0f7
* ZArith: for uniformity, Zdiv2 becomes Zquot2 while Zdiv2' becomes Zdiv2Gravatar letouzey2010-12-09
| | | | | | | | | | | | | | | Now we have: - Zdiv and Zdiv2 : round toward bottom, no easy sign rule, remainder of a/2 is 0 or 1, operations related with two's-complement Zshiftr. - Zquot and Zquot2 : round toward zero, Zquot2 (-a) = - Zquot2 a, remainder of a/2 is 0 or Zsgn a. Ok, I'm introducing an incompatibility here, but I think coherence is really desirable. Anyway, people using Zdiv on positive numbers only shouldn't even notice the change. Otherwise, it's just a matter of sed -e "s/div2/quot2/g". git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13695 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
* Division: avoid imposing rem as an infix keyword in Z_scope and bigZ_scope.Gravatar letouzey2010-11-16
| | | | | | | | | | | No infix notation "rem" for Zrem (that will probably become Z.rem in a close future). This way, we avoid conflict with people already using rem for their own need. Same for BigZ. We still use infix rem, but only in the abstract layer of Numbers, in a way that doesn't inpact the rest of Coq. Btw, the axiomatized function is now named rem instead of remainder. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13640 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 : 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
* 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
* Numbers : also axiomatize constants 1 and 2.Gravatar letouzey2010-10-14
| | | | | | | | | | | | | | | | | 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
* Numbers: new functions pow, even, odd + many reorganisationsGravatar letouzey2010-10-14
| | | | | | | | | | | | | | | | | | | | | | | | - 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
* 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
* 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
* More improvements of BigN, BigZ, BigQ:Gravatar letouzey2010-01-18
| | | | | | | | | | | | | | | - ring/field: detection of constants for ring/field, detection of power, potential use of euclidean division. - for BigN and BigZ, x^n now takes a N as 2nd arg instead of a positive - mention that we can use (r)omega thanks to (ugly) BigN.zify, BigZ.zify. By the way, BigN.zify could still be improved (no insertion of positivity hyps yet, unlike the original zify). - debug of BigQ.qify (autorewrite was looping on spec_0). - for BigQ, start of a generic functor of properties QProperties. - BigQ now implements OrderedType, TotalOrder, and contains facts about min and max. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12681 85f007b7-540e-0410-9357-904b9bb8a0f7
* BigN, BigZ, BigQ: presentation via unique module with both ops and propsGravatar letouzey2010-01-17
| | | | | | | | | | | | | | | | | | | | | We use the <+ operation to regroup all known facts about BigN (resp BigZ, ...) in a unique module. This uses also the new ! feature for controling inlining. By the way, we also make sure that these new BigN and BigZ modules implements OrderedTypeFull and TotalOrder, and also contains facts about min and max (cf. GenericMinMax). Side effects: - In NSig and ZSig, specification of compare and eq_bool is now done with respect to Zcompare and Zeq_bool, as for other ops. The order <= and < are also defined via Zle and Zlt, instead of using compare. Min and max are axiomatized instead of being macros. - Some proofs rework in QMake - QOrderedType and Qminmax were in fact not compiled by make world Still todo: OrderedType + MinMax for BigQ, etc etc git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12680 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: BigN and BigZ get instantiations of all properties about div and modGravatar letouzey2010-01-08
| | | | | | | | | NB: for declaring div and mod as a morphism, even when divisor is zero, I've slightly changed the definition of div_eucl: it now starts by a check of whether the divisor is zero. Not very nice, but this way we can say that BigN.div and BigZ.div _always_ answer like Zdiv.Zdiv. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12646 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: axiomatization + generic properties of abs and sgn.Gravatar letouzey2010-01-08
| | | | | | | This allow to really finish files about division. An abs and sgn is added to BigZ. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12644 85f007b7-540e-0410-9357-904b9bb8a0f7
* BigQ / BigN / BigZ syntax and scope improvements (sequel to 12504)Gravatar letouzey2009-11-12
| | | | | | | | | | | | | | | | | | | | | | | - In fact, Bind Scope has no retrospective effect. Since we don't want it inside functor, we use it late, and hence we are forced to use manual "Arguments Scope" commands. - Added syntax for power in BigN / BigZ / BigQ. - Added syntax p#q in BigQ for representing fractions (constructor BigQ.Qq) as in QArith. Display of a rational numeral is hence either an integer (constructor BigQ.Qz) or something like 6756 # 8798. - Fix of function BigQ.Qred that was not simplifing (67#1) into 67. - More tests in test-suite/output/NumbersSyntax.v A nice one not in the test-suite: Time Eval vm_compute in BigQ.red ((2/3)^(-100000) * (2/3)^(100000)). = 1 : bigQ Finished transaction in 3. secs (3.284206u,0.004s) :-) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12507 85f007b7-540e-0410-9357-904b9bb8a0f7
* Repair interpretation of numeral for BigQ, add a printer (close #2160)Gravatar letouzey2009-11-12
| | | | | | | | | | | | | | | on the way: - Added a testsuite output file - Try to avoid nasty unfolding (fix nfun ...) in type of I31. Idealy we would need a "Eval compute in" for the type of a inductive constructor - Stop opening Scopes for BigQ, BigN, BigZ by default The user should do some Open Scope. TODO: there's a bug that prevent BigQ.opp to have arg in bigQ_scope (and so on for other operations), even with some Bind Scope around. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12504 85f007b7-540e-0410-9357-904b9bb8a0f7
* SpecViaZ.NSig: all-in-one spec for [pred] and [sub] based on ZMaxGravatar letouzey2009-11-10
| | | | | | | | To retrieve the old behavior of spec_sub0 and spec_sub with precondition on order, just chain spec_sub with Zmax_r or Zmax_l. Idem with spec_pred0 and spec_pred. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12490 85f007b7-540e-0410-9357-904b9bb8a0f7
* 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
* Delete trailing whitespaces in all *.{v,ml*} filesGravatar glondu2009-09-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
* Add user syntax for creating hint databases [Create HintDb fooGravatar msozeau2008-09-14
| | | | | | | | | | | | [discriminated]] with a switch for using the more experimantal dnet impl for every hint. Also add [Hint Transparent/Opaque] which parameterize the dnet and the unification flags used by auto/eauto with a particular database. Document all this. Remove [Typeclasses unfold] directives that are no longer needed (everything is unfoldable by default) and move to [Typeclasses Transparent/Opaque] syntax. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11409 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix bug #1899: no more strange notations for Qge and QgtGravatar letouzey2008-07-04
| | | | | | | | | | | | | | In fact, Qge and Ggt disappear, and we only leave notations for > and >= that map directly to Qlt and Qle. We also adopt the same approach for BigN, BigZ, BigQ. By the way, various clean-up concerning Zeq_bool, Zle_bool and similar functions for Q. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11205 85f007b7-540e-0410-9357-904b9bb8a0f7
* Enhanced discrimination nets implementation, which can now work withGravatar msozeau2008-06-27
| | | | | | | | | | | | | | | | | goals containing existentials and use transparency information on constants (optionally). Only used by the typeclasses eauto engine for now, but could be used for other hint bases easily (just switch a boolean). Had to add a new "creation" hint to be able to set said boolean upon creation of the typeclass_instances hint db. Improve the proof-search algorithm for Morphism, up to 10 seconds gained in e.g. Field_theory, Ring_polynom. Added a morphism declaration for [compose]. One needs to declare more constants as being unfoldable using the [Typeclasses unfold] command so that discrimination is done correctly, but that amounts to only 6 declarations in the standard library. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11184 85f007b7-540e-0410-9357-904b9bb8a0f7
* In abstract parts of theories/Numbers, plus/times becomes add/mul, Gravatar letouzey2008-06-03
| | | | | | | | | | 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
* In abstract parts of theories/Numbers, plus/times becomes add/mul, Gravatar letouzey2008-06-02
| | | | | | | | | | 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
* Enhance the BigN and BigZ infrastructure: Gravatar letouzey2008-06-01
| | | | | | | | | | | | | | | | | | | | | | * Isolate and put forward the interfaces NSig and ZSig that describe what should contain structures of natural numbers and integers (specs are done by translation to ZArith). * Functors NSigNAxioms and ZSigZAxioms proving that these NSig and ZSig implements the fully-abstract NAxioms and ZAxioms module types. * BigN and BigZ now contains more notations, plus an export of all abstract results proved by Evgeny instantiated thanks to NSigNAxioms and ZSigZAxioms. In addition, BigN and BigZ are declared as (semi/full)-rings. * as a consequence, some incompatibities have to be fixed in BigQ: - take care of some name masking (via Import, Open Scope ...) - some additionnal constants like BigN.lt to deal with git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11027 85f007b7-540e-0410-9357-904b9bb8a0f7
* switch theories/Numbers from Set to Type (both the abstract and the bignum ↵Gravatar letouzey2008-05-22
| | | | | | part). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10964 85f007b7-540e-0410-9357-904b9bb8a0f7
* Coq headers + $ in theories/Numbers filesGravatar letouzey2008-05-15
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10934 85f007b7-540e-0410-9357-904b9bb8a0f7
* Integration of theories/Ints into theories/Numbers, part 1: moving filesGravatar letouzey2008-05-07
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