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It is much beter for everything (includind guard condition and simpl refolding)
excepts typeclasse inference because unification does not recognize
(fun x => f x b) a when it sees f a b ...
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some time to provide a library stating the groupoid structure of
equality proofs.
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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.
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V7.1. Thanks to Assia for reporting.
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For starting a bare coqtop, the recommended option is now "-noinit"
that skips the load of Prelude.vo. Option "-nois" is kept for
compatibility, it is now an alias to "-noinit".
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The ugly syntax "destruct x as [ ]_eqn:H" is replaced by:
destruct x eqn:H
destruct x as [ ] eqn:H
Some with induction. Of course, the pattern behind "as" is arbitrary.
For an anonymous version, H could be replaced by ?. The old syntax
with "_eqn" still works for the moment, by triggers a warning.
For making this new syntax work, we had to change the seldom-used
"induction x y z using foo" into "induction x, y, z using foo".
Now, only one "using" can be used per command instead of one per
comma-separated group earlier, but I doubt this will bother anyone.
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Most of these heavyweight annotations were introduced a long time ago
by the automatic 7.x -> 8.0 translator
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- For instance, refl_equal --> eq_refl
- Npos, Zpos, Zneg now admit more uniform qualified aliases
N.pos, Z.pos, Z.neg.
- A new module BinInt.Pos2Z with results about injections from
positive to Z
- A result about Z.pow pushed in the generic layer
- Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l}
- Using tactic Z.le_elim instead of Zle_lt_or_eq
- Some cleanup in ring, field, micromega
(use of "Equivalence", "Proper" ...)
- Some adaptions in QArith (for instance changed Qpower.Qpower_decomp)
- In ZMake and ZMake, functor parameters are now named NN and ZZ
instead of N and Z for avoiding confusions
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Suppose we declare : Notation foo := bar (compat "8.3").
Then each time foo is used in a script :
- By default nothing particular happens (for the moment)
- But we could get a warning explaining that
"foo is bar since coq > 8.3".
For that, either use the command-line option -verb-compat-notations
or the interactive command "Set Verbose Compat Notations".
- There is also a strict mode, where foo is forbidden : the previous
warning is now an error.
For that, either use the command-line option -no-compat-notations
or the interactive command "Unset Compat Notations".
When Coq is launched in compatibility mode (via -compat 8.x),
using a notation tagged "8.x" will never trigger a warning or error.
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Why2 has not been maintained for the last few years and the Why3 plugin should
be a suitable replacement in most cases.
Removed tactics: simplify, ergo, yices, cvc3, z3, cvcl, harvey, zenon, gwhy.
Removed commands: Dp_hint, Dp_timeout, Dp_prelude, Dp_predefined, Dp_debug,
Dp_trace.
Note that the "admit" tactic was actually provided by the Dp plugin. It has
been moved to extratactics.ml4.
Ported from v8.4 r15186.
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No good reason for that except uniformity so revert this commit if you find a
reason against it.
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- fixing missing spaces in the format of the exists' notations (Logic.v);
- fixing wrong variable name in check_is_hole error message (topconstr.ml);
- interpret expressions with open binders such as "forall x y, t" as
"forall (x:_) (y:_),t" instead of "forall (x y:_),t" to avoid
the "implicit type" of a variable being propagated to the type of
another variable of different base name.
An open question remains: when writing explicitly "forall (x y:_),t",
should the types of x and y be the same or not. To avoid the "bug"
that x and y have implicit types but the one of x takes precedences, I
enforced the interpretation (in constrintern, not in parsing) that
"forall (x y:_),t" means the same as "forall (x:_) (y:_),t". However,
another choice could have been made. Then one would have to check that
if x and y have implicit types, they are the same; also, glob_constr
should ideally be changed to support a GProd and GLam with multiple
names in the same type, especially if this type is an evar. On the
contrary, one might also want e.g. "forall x y : list _, t" to mean
"forall (x:list _) (y:list _), t" with distinct instanciations of
"_" ...).
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add_definition/fixpoint and parsing of the "Program" prefix.
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Instead of hard-coding in search.ml some substrings such
as "_admitted" or "_subproof" we don't want to see in results
of SearchAbout and co, we now have a user command:
Add Search Blacklist "foo".
Remove Search Blacklist "foo". (* the opposite *)
Print Table Search Blacklist. (* the current state *)
In Prelude.v, three substrings are blacklisted originally:
- "_admitted" for internal lemmas due to admit.
- "_subproof" for internal lemmas due to abstract.
- "Private_" for hiding auxiliary modules not meant for
global usage.
Note that substrings are searched in the fully qualified names
of the available lemmas (e.g. "Coq.Init.Peano.plus").
This commit also adds the prefix "Private_" to some internal modules
in Numbers, Z, N, etc.
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"rewrite Heq in H" but "rewrite" is sometimes used by users and I
don't want to have to change their file.
The solution to put the notations in a module does not work with name
"rewrite" because loading the module would change the status of
"rewrite" from simple ident to keyword (and we cannot declare
"rewrite" as an ident, as shown in previous commit).
Then we come back on notation "rew" (this name is also used by some
users), in a module.
This continues commit r14366 and r14390 and improves on the level of
the notation.
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so that the files in Init can benefit from the full-blown tactic language.
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a smaller risk that "rewrite" clashes with a name used for constr).
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Start of a uniform treatment of compare, eqb, leb, ltb:
- We now ensure that they are provided by N,Z,BigZ,BigN,Nat and Pos
- Some generic properties are derived in OrdersFacts.BoolOrderFacts
In BinPos, more work about sub_mask with nice implications
on compare (e.g. simplier proof of lt_trans).
In BinNat/BinPos, for uniformity, compare_antisym is now
(y ?= x) = CompOpp (x ?=y) instead of the symmetrical result.
In BigN / BigZ, eq_bool is now eqb
In BinIntDef, gtb and geb are kept for the moment, but
a comment advise to rather use ltb and leb. Z.div now uses
Z.ltb and Z.leb.
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A sub-module N in BinNat now contains functions add (ex-Nplus),
mul (ex-Nmult), ... and properties.
In particular, this sub-module N directly instantiates NAxiomsSig
and includes all derived properties NProp.
Files Ndiv_def and co are now obsolete and kept only for compat
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ident by Ltac).
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CompareSpec expects 3 propositions Peq Plt Pgt instead of 2 relations
eq lt and 2 points x y. For the moment, we still always use (Peq=eq x y),
(Plt=lt x y) (Pgt=lt y x), but this may not be always the case,
especially for Pgt. The former CompSpec is now defined in term of
CompareSpec. Compatibility is preserved (except maybe a rare unfold
or red to break the CompSpec definition).
Typically, CompareSpec looks nicer when we have infix notations, e.g.
forall x y, CompareSpec (x=y) (x<y) (y<x) (x?=x)
while CompSpec is shorter when we directly refer to predicates:
forall x y, CompSpec eq lt x y (compare x y)
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According to B. Gregoire, this stuff is obsolete. Fine control
on when to launch the VM in conversion problems is now provided
by VMcast. We were already almost never boxing definitions anymore
in stdlib files.
"(Un)Boxed Definition foo" will now trigger a parsing error,
same with Fixpoint. The option "(Un)Set Boxed Definitions"
aren't there anymore, but tolerated (as no-ops), since unknown
options raise a warning instead of an error by default.
Some more cleaning could be done in the vm.
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To avoid names¬ations clashs with list, Vector shouldn't be
"Import"ed but one can "Import Vector.VectorNotations." to have
notations.
SetoidVector at least remains to do.
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Program in terms of implicit arguments to the rest of the library.
This commit only covers the case of list of implicit arguments that
have a different length in Program (e.g. inl, Vcons) but not the case of
implicit arguments which differs only in their maximality status
(e.g. pair).
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the compatibility with the rest of the theories. Used multiple lists
of implicit arguments in Init only when the maximality status is not
modified in Program (and thus the compatibility is strictly
preserved). This improves the compatibility for the implicit arguments
of eq_refl and JMeq_refl between 8.2 and 8.3 when using Program (up to
the residual differences in the maximality status). For the constants
Acc_inv, inl, inr, left, right, Vnil, Vcons, the compatibility with
8.2 is not improved but the consistency between Program and the rest
of the library is.
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For the moment, almost no lemmas about (reflect P b), just the proofs
that it is equivalent with an P<->b=true.
is_true b is (b=true), and is meant to be added as a coercion
if one wants it. In the StdLib, this coercion is not globally
activated, but particular files are free to use Local Coercion...
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for the moment, only one hypothesis name is accepted after clear
dependent (seems to be also the case for generalize dependent).
Btw, added an alternative name "revert dependent" for "generalize
dependent", since this tactics remove hypothesis from the context.
To be documentated later...
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- Many of them were broken, some of them after Pierre B's rework
of mli for ocamldoc, but not only (many bad annotation, many files
with no svn property about Id, etc)
- Useless for those of us that work with git-svn (and a fortiori
in a forthcoming git-only setting)
- Even in svn, they seem to be of little interest
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This is a fairly large commit (around 140 files and 7000 lines of code
impacted), it will cause some troubles for sure (I've listed the know
regressions below, there is bound to be more).
At this state of developpement it brings few features to the user, as
the old tactics were
ported with no change. Changes are on the side of the developer mostly.
Here comes a list of the major changes. I will stay brief, but the code
is hopefully well documented so that it is reasonably easy to infer the
details from it.
Feature developer-side:
* Primitives for a "real" refine tactic (generating a goal for each
evar).
* Abstract type of tactics, goals and proofs
* Tactics can act on several goals (formally all the focused goals). An
interesting consequence of this is that the tactical (. ; [ . | ... ])
can be separated in two
tacticals (. ; .) and ( [ . | ... ] ) (although there is a conflict for
this particular syntax). We can also imagine a tactic to reorder the
goals.
* Possibility for a tactic to pass a value to following tactics (a
typical example is
an intro function which tells the following tactics which name it
introduced).
* backtracking primitives for tactics (it is now possible to implement a
tactical '+'
with (a+b);c equivalent to (a;c+b;c) (itself equivalent to
(a;c||b;c)). This is a valuable
tool to implement tactics like "auto" without nowing of the
implementation of tactics.
* A notion of proof modes, which allows to dynamically change the parser
for tactics. It is controlled at user level with the keywords Set
Default Proof Mode (this is the proof mode which is loaded at the start
of each proof) and Proof Mode (switches the proof mode of the current
proof) to control them.
* A new primitive Evd.fold_undefined which operates like an Evd.fold,
except it only goes through the evars whose body is Evar_empty. This is
a common operation throughout the code,
some of the fold-and-test-if-empty occurences have been replaced by
fold_undefined. For now,
it is only implemented as a fold-and-test, but we expect to have some
optimisations coming some day, as there can be a lot of evars in an
evar_map with this new implementation (I've observed a couple of
thousands), whereas there are rarely more than a dozen undefined ones.
Folding being a linear operation, this might result in a significant
speed-up.
* The declarative mode has been moved into the plugins. This is made
possible by the proof mode feature. I tried to document it so that it
can serve as a tutorial for a tactic mode plugin.
Features user-side:
* Unfocus does not go back to the root of the proof if several Focus-s
have been performed.
It only goes back to the point where it was last focused.
* experimental (non-documented) support of keywords
BeginSubproof/EndSubproof:
BeginSubproof focuses on first goal, one can unfocus only with
EndSubproof, and only
if the proof is completed for that goal.
* experimental (non-documented) support for bullets ('+', '-' and '*')
they act as hierarchical BeginSubproof/EndSubproof:
First time one uses '+' (for instance) it focuses on first goal, when
the subproof is
completed, one can use '+' again which unfocuses and focuses on next
first goal.
Meanwhile, one cas use '*' (for instance) to focus more deeply.
Known regressions:
* The xml plugin had some functions related to proof trees. As the
structure of proof changed significantly, they do not work anymore.
* I do not know how to implement info or show script in this new engine.
Actually I don't even know what they were suppose to actually mean in
earlier versions either. I wager they would require some calm thinking
before going back to work.
* Declarative mode not entirely working (in particular proofs by
induction need to be restored).
* A bug in the inversion tactic (observed in some contributions)
* A bug in Program (observed in some contributions)
* Minor change in the 'old' type of tactics causing some contributions
to fail.
* Compilation time takes about 10-15% longer for unknown reasons (I
suspect it might be linked to the fact that I don't perform any
reduction at QED-s, and also to some linear operations on evar_map-s
(see Evd.fold_undefined above)).
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This allow for instance to remove the dependency of List.v toward Min.v
To prove max_l and co, we push Le.le_pred and Le.le_S_n into Peano.
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This solves in particular the compilation failure of contrib ATBR
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In interfaces fields like compare_spec, a CompSpec is prefered to get
nice extraction, but then no "destruct (compare_spec .. ..)" is
possible in a Type context. Now you can say there
"destruct (CompSpec2Type (compare_spec ... ...))"
This translate to the Type variant, and make the analysis on it
(which is equivalent to analysing the comparison directly).
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