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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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- 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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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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transformed into generic functions, and aren't anymore fields of
records znz_op/znz_spec.
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part).
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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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* 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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