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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.
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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.
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- 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.
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- NStrongRec provides a "strong" recursor based on the usual one:
recursive calls can be done here on any lower value.
See binary log in NDefOps for an example of use.
- NDefOps contains alternative definitions of usual operators
(add, mul, ltb, pow, even, half, log)
via usual or strong recursor, and proofs of correctness and/or
of equivalence with axiomatized operators.
These files were in the archive but not being compiled,
some proofs of correction for functions defined there were missing.
By the way, some more iff-style lemmas in Bool.
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TODO: finish removing the "Add Relation", "Add Morphism" fun_* fun2_*
TODO: now that we have Include, flatten the hierarchy...
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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...
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Mostly results about Zgcd (commutativity, associativity, ...).
Slight improvement of ZMicromega.
Beware: some lemmas of Zdiv/ Znumtheory were asking for
too strict or useless hypothesis. Some minor glitches may occur.
By the way, some iff lemmas about negb in Bool.v
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- Restore failure when types don't unify in [unify_types] (undoing
r12075) but try to be more clever about cumulativity using the meta's
[instance_status] information.
- Fix second-order abstraction when K is not allowed to ensure that
we don't unify twice with the same subterm in
[w_unify_to_subterm_list]. A more elaborate solution would be give the
list to [w_unify_to_subterm] so that it keeps going when it finds an
already-found instantiation.
- Two "obvious" errors fixed: taking the wrong instance status when
unifying with a meta on the right and forgoting type equations in
[w_merge].
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rhs) of rewrite lemmas for efficient retrieval of matching lemmas.
Autorewrite's implementation is still unchanged but the dnet can be used
through the [hints] strategy of the new generalized rewrite. Now lemmas
are checked to actually be rewriting lemmas at declaration time hence
the change in DoubleSqrt where some unapplicable constants were declared
as lemmas.
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Idea: make coqtop more independant of the standard library.
In the future, we can imagine loading the syntax for numerals right
after their definition. For the moment, it is easier to stay lazy
and load the syntax plugins slightly before the definitions.
After this commit, the main (sole ?) references to theories/
from the core ml files are in Coqlib (but many parts of coqlib
are only used by plugins), and it mainly concerns Init
(+ Logic/JMeq and maybe a few others).
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[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.
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Now there is a class "SetoidRelation" for registering relations that
should always be considered as setoids and never unfolded. Every "Add
Relation" command adds an instance and impl,iff are there by
default. Now the test is: if there is a SetoidRelation instance, use it
; otherwise, allow unfolding to find an eq or fallback on
setoid_rewrite. To avoid searching for SetoidRelation instances
repeateadly we check that it is really needed first by unfolding the
hyp. Only two scripts relied on the now-forbidden semantics of rewriting
by an @eq inside a setoid relation, in Numbers.
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- Utilisation de notations de type "abbreviation paramétrée" plutôt que
de notations introduisant des mots-clés, là où c'est possible (cela affecte
QDen, in_left/in_right, inhabited, S/P dans NZCyclic).
- Extension du lexeur pour qu'il prenne le plus long token valide au
lieu d'échouer sur un plus long préfixe non valide de token (permet
notamment de faire passer la notation de Georges "'C_ G ( A )"
sans invalider toute séquence commençant par 'C et non suivie de _)
- Rajout d'un point final à certains messages d'erreur qui n'en avaient pas.
- Ajout String.copy dans string_of_label ("trou" de mutabilité signalé
par Georges -- le "trou" lié aux vecteurs des noeuds App restant lui
ouvert).
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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.
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- Cases on multiple objects
- Avoid dangerous coercion with evars in subtac_coercion
- Resolve typeclasses method-by-method to get better error messages.
- Correct merging of instance databases (and add debug printer)
- Fix a script in NOrder where a setoid_replace was not working before.
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irreducibility results
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fractions
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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.
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* keep only one implementation of BigQ
* QMake (ex-Q0Make) becomes functorial
* proofs in it have been reworked, some new functions (e.g. red, power)
* BigQ.t is declared to be a setoid and a field
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(résolution entre autres des bugs 1882, 1883, 1884).
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- Ajout clause "in" à "remember" (et passage du code en ML).
- Ajout clause "in" à "induction"/"destruct" qui, en ce cas, ajoute
aussi une égalité pour se souvenir du terme sur lequel l'induction
ou l'analyse de cas s'applique.
- Ajout "pose t as id" en standard (Matthieu: j'ai enlevé celui de
Programs qui avait la sémantique de "pose proof" tandis que le nouveau
a la même sémantique que "pose (id:=t)").
- Un peu de réorganisation, uniformisation de noms dans Arith, et
ajout EqNat dans Arith.
- Documentation tactiques et notations de tactiques.
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for increased consistency with bignums parts
(commit part II: names of files + additional translation minus --> sub)
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for increased consistency with bignums parts
(commit part I: content of files)
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a Coq meeting some time ago. NB: this syntax is an alias for (x,(y,(z,t)))
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* 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
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now dumb wrappers around Zsqrt_plain. Wanted (dead or alive): better
implemntations _and_ their proofs.
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transformed into generic functions, and aren't anymore fields of
records znz_op/znz_spec.
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proving addmuldiv31
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- Suite à une modification faite maladroitement, on ne se contentait pas
de comparer le nom de la supposition quand on l'insérait dans l'ensemble
des suppositions utilisées, mais aussi son type, ce qui était
inutilement long (mais pas le facteur principal)
- L'environnement était parcouru deux fois pour chaque variable de
section. Ce n'était pas très grave vu qu'en général on a assez peu de
variables de sections sous la main. Mais ça restait inutile.
- Les noms qui ont déjà étés explorés sont maintenant memoizés, ce qui
gagne dans le cas les pires (comme les théorèmes sur les réels
typiquement) une exponentiel dans le temps de recherche (si on visualise
l'espace de recherche comme un DAG, l'ancienne procédure le parcourais
comme si il était un arbre, ce qui a une complexité exponentielle en la
taille du DAG).
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one.
Conversion to lists of digits is really the Right Way (TM). Maybe other parts
can also benefit from this idea. To be continued...
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CyclicAxioms specs
Currently, 8 lemmas remains to tackle. One proof is done via a _very_
brute-force ugly approach. The all story for proving composition of
phi and phi_inv (and the other way around) is surprisingly long and
tricky. In both cases, comments are welcome, I may have missed an
easier road (?)
As a consequence of the above, we have a additional time-eager
file in the stdlib (about a minute to compile here).
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idea :-(
(some bad interaction with Arnaud's framework ??)
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Vouillon)
As said at the beginning of the file:
This file contains basic definitions of a 31-bit integer
arithmetic. In fact it is more general than that. The only reason
for this use of 31 is the underlying mecanism for hardware-efficient
computations by A. Spiwack. Apart from this, a switch to, say,
63-bit integers is now just a matter of replacing every occurences
of 31 by 63. This is actually made possible by the use of
dependently-typed n-ary constructions for the inductive type
[int31], its constructor [I31] and any pattern matching on it.
If you modify this file, please preserve this genericity.
From the user point-of-view, almost nothing has changed: functions
like On, In, shiftr, shiftl and a few others now have a
syntactically-different definition, but thanks to Eval compute in their
definition, this leads to the exact same coq objects as before. The only
difference is "Check I31" that shows the compact n-ary version
(nfun digits 31 int31) instead of (digits -> ... -> digits -> int31).
But even "Print int31" shows the same answer as before (the above type
of I31 is shown after expansion).
Arnaud, could you check whether all this works fine with your
retroknowledge ?
Notice the new file NaryFunction that contain generic stuff about
n-ary dependent functions. It should end some day in another place
than theories/Numbers, but I cant figure where for now. This file is
also quite skinny yet, but it's a start.
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for helping rewriting under Quantifiers and binders, but Matthieu's
setoid rewrite now has the same kind of capabilities by default.
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part).
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no longer
needed to compile theories/Numbers. QRewrite will probably be removed in a latter commit
(need to check 2-3 things first with Matthieu and Evgeny)
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