| Commit message (Collapse) | Author | Age |
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The user now has to manually load them, respectively via:
Require Extraction
Require Import FunInd
The "Import" in the case of FunInd is to ensure that the
tactics functional induction and functional inversion are indeed
in scope.
Note that the Recdef.v file is still there as well (it contains
complements used when doing Function with measures), and it also
triggers a load of FunInd.v.
This change is correctly documented in the refman, and the test-suite
has been adapted.
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This reverts commit 3a2753bedf43a8c7306b1b3fc9cb37aafb78ad7a.
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"exists c1, c2".
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(but deactivated still).
Set Keyed Unification to activate the option, which changes
subterm selection to _always_ use full conversion _after_ finding a
subterm whose head/key matches the key of the term we're looking for.
This applies to rewrite and higher-order unification in
apply/elim/destruct.
Most proof scripts already abide by these semantics. For those that
don't, it's usually only a matter of using:
Declare Equivalent Keys f g.
This make keyed unification consider f and g to match as keys.
This takes care of most cases of abbreviations: typically Def foo :=
bar and rewriting with a bar-headed lhs in a goal mentioning foo works
once they're set equivalent.
For canonical structures, these hints should be automatically declared.
For non-global-reference headed terms, the key is the constructor name
(Sort, Prod...). Evars and metas are no keys.
INCOMPATIBILITIES:
In FMapFullAVL, a Function definition doesn't go through with keyed
unification on.
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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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- Enforce that no u <= Prop/Set can be added for u introduced by the user in Evd.process_constraints.
(Needs to be enforced in the kernel as well, but that's the main entry point).
- Fix a test-suite script and remove a regression comment, it's just as before now.
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latent universes. Now the universes in the type of a definition/lemma
are eagerly added to the environment so that later proofs can be checked
independently of the original (delegated) proof body.
- Fixed firstorder, ring to work correctly with universe polymorphism.
- Changed constr_of_global to raise an anomaly if side effects would be lost by
turning a polymorphic constant into a constr.
- Fix a non-termination issue in solve_evar_evar.
-
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... no need to Unset them manually
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16631 85f007b7-540e-0410-9357-904b9bb8a0f7
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instead of a general constr: this is the most common case and does
not loose generality (one can simply define constrs before Hint Resolving
them). Benefits:
- Natural semantics for typeclasses, not class resolution needed at
Hint Resolve time, meaning less trouble for users as well.
- Ability to [Hint Remove] any hint so declared.
- Simplifies the implementation as well.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15930 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15838 85f007b7-540e-0410-9357-904b9bb8a0f7
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Initial contribution by Andrew Appel, many ulterior modifications
by myself.
Interest: red-black trees maintain logarithmic depths as AVL,
but they do not rely on integer height annotations as AVL,
allowing interesting performance when computing in Coq or after
standard extraction. More on this topic in the article by A. Appel.
The common parts of MSetAVL and MSetRBT are shared in a new file
MSetGenTree which include the definition of tree and functions
such as mem fold elements compare subset.
Note that the height of AVL trees is now the first arg of the
Node constructor instead of the last one.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15168 85f007b7-540e-0410-9357-904b9bb8a0f7
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Théo Zimmermann
Hugo Herbelin
Pierre Letouzey
Pierre Boutillier
Matthieu Sozeau
Guillaume Melquiond
Matthieu Sozeau
letouzey
msozeau