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- 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
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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
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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
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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
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- 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
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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12504 85f007b7-540e-0410-9357-904b9bb8a0f7
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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12490 85f007b7-540e-0410-9357-904b9bb8a0f7
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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12489 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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[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
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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11205 85f007b7-540e-0410-9357-904b9bb8a0f7
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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.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11184 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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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
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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
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11027 85f007b7-540e-0410-9357-904b9bb8a0f7
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part).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10964 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10934 85f007b7-540e-0410-9357-904b9bb8a0f7
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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
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