| Commit message (Collapse) | Author | Age |
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This was decided during the Fall WG (2017).
The aliases that are kept as deprecated are the ones where the difference
is only a prefix becoming a qualified module name.
The intention is to turn the warning for deprecated notations on.
We change the compat version to 8.6 to allow the removal of VOld and V8_5.
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- 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.
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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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15540 85f007b7-540e-0410-9357-904b9bb8a0f7
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- 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
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Suppose we declare : Notation foo := bar (compat "8.3").
Then each time foo is used in a script :
- By default nothing particular happens (for the moment)
- But we could get a warning explaining that
"foo is bar since coq > 8.3".
For that, either use the command-line option -verb-compat-notations
or the interactive command "Set Verbose Compat Notations".
- There is also a strict mode, where foo is forbidden : the previous
warning is now an error.
For that, either use the command-line option -no-compat-notations
or the interactive command "Unset Compat Notations".
When Coq is launched in compatibility mode (via -compat 8.x),
using a notation tagged "8.x" will never trigger a warning or error.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15514 85f007b7-540e-0410-9357-904b9bb8a0f7
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Instead of hard-coding in search.ml some substrings such
as "_admitted" or "_subproof" we don't want to see in results
of SearchAbout and co, we now have a user command:
Add Search Blacklist "foo".
Remove Search Blacklist "foo". (* the opposite *)
Print Table Search Blacklist. (* the current state *)
In Prelude.v, three substrings are blacklisted originally:
- "_admitted" for internal lemmas due to admit.
- "_subproof" for internal lemmas due to abstract.
- "Private_" for hiding auxiliary modules not meant for
global usage.
Note that substrings are searched in the fully qualified names
of the available lemmas (e.g. "Coq.Init.Peano.plus").
This commit also adds the prefix "Private_" to some internal modules
in Numbers, Z, N, etc.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14408 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Zpow_def, Zpower, Zpow_facts shortened thanks to stuff in BinInt.Z
- The alternative Zpower_alt is now in a separate file Zpow_alt.v,
not loaded by default.
- Some more injection lemmas in Znat (pow, div, mod, quot, rem)
- Btw, added a "square" function in Z, N, Pos, ... (instead of
Zpow_facts.Zsquare).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14253 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14237 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14111 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14110 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14103 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14102 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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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
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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
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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
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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
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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
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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
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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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13605 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13571 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13544 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
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- 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
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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
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+ 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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 85f007b7-540e-0410-9357-904b9bb8a0f7
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- 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
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12250 85f007b7-540e-0410-9357-904b9bb8a0f7
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inductive types was not taken into account).
- Virtually extended tauto to
- support arbitrary-length disjunctions and conjunctions,
- support arbitrary complex forms of disjunctions and
conjunctions when in the contravariant of an implicative hypothesis,
- stick with the purely propositional fragment and not apply reflexivity.
This is virtual in the sense that it is not activated since it breaks
compatibility with the existing tauto.
- Modified the notion of conjunction and unit type used in hipattern in a
way that is closer to the intuitive meaning (forbid dependencies
between parameters in conjunction; forbid indices in unit types).
- Investigated how far "iff" could be turned into a direct inductive
definition; modified tauto.ml4 so that it works with the current and
the alternative definition.
- Fixed a bug in the error message from lookup_eliminator.
- Other minor changes.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11721 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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More details in the header of BinPos.v
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10547 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10304 85f007b7-540e-0410-9357-904b9bb8a0f7
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85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10299 85f007b7-540e-0410-9357-904b9bb8a0f7
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Maxime Dénès
Théo Zimmermann
Pierre-Marie Pédrot
Pierre Letouzey
Pierre Boutillier
letouzey
herbelin
glondu
emakarov