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- Records of operations and specs in CyclicAxioms are now
type classes (under a module ZnZ for qualification).
We benefit from inference and from generic names:
(ZnZ.mul x y) instead of (znz_mul (some_ops...) x y).
- Beware of typeclasses unfolds: the line about
Typeclasses Opaque w1 w2 ... is critical for decent
compilation time (x2.5 without it).
- Functions defined via same_level are now obtained from a
generic version by (Eval ... in ...) during definition.
The code obtained this way should be just as before, apart
from some (minor?) details. Proofs for these functions
are _way_ simplier and lighter.
- The macro-generated NMake_gen.v contains only generic iterators
and compare, mul, div_gt, mod_gt. I hope to be able to adapt
these functions as well soon.
- Spec of comparison is now fully done with respect to Zcompare
- A log2 function has been added.
- No more unsafe_shiftr, we detect the underflow directly with sub_c
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without scope.
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As a consequence, revert to some pedestrian proofs of Equivalence here
and there, without the need for the Measure class.
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Now that backtracking is working correctly, we need to avoid a
non-termination issue introduced by the [RelCompFun] definition in
RelationPairs, by adding a [Measure] typeclass. It could be used to have
a uniform notation for measures/interpretations in Numbers and be but in
the interfaces too, only the mimimal change was implemented.
Fix syntax change in test-suite scripts.
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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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TODO: finish removing the "Add Relation", "Add Morphism" fun_* fun2_*
TODO: now that we have Include, flatten the hierarchy...
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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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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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transformed into generic functions, and aren't anymore fields of
records znz_op/znz_spec.
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part).
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This isn't useful for BigN et BigZ, but it can't hurt; and moreover
it's a simple way to understand CyclicAxioms. Next step: proving that
Int31 is also an implementation of CyclicAxiom.
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(n _must_ in fact be a power of 2). Worse: Z_31Z is just plain wrong
since it is Z/(2^31)Z and not Z/31Z (my fault).
As a consequence, switch to CyclicAxioms, Cyclic31, DoubleCyclic, etc
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In fact, for the moment, it was only containing a proof that Z/nZ
implements the NatInt NZAxiomsSig. We move it to a more meaningful
place and name.
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* View of Int31 as a Z/nZ moved to file Z31Z.v (TO FINISH: specs are still admitted!)
* Modular specification of Z/nZ moved to ZnZ and renamed CyclicType
* More isolation between Cyclic/Abstract and Cyclic/DoubleCyclic
* A few comments
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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...
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