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Lintian found some spelling errors in the Debian packaging for coq. Fix
them most places they appear in the current source. (Don't change
documentation anchor names, as that would invalidate external
deeplinks.)
This also fixes a bug in coqdoc: prior to this commit, coqdoc would
highlight `instanciate` but not `instantiate`.
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Hopefully this goes away when OCAMLPATH is properly handled by the
build system.
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This refines the fix to #2169 by distinguishing the short and
non-short printing modes.
This prepares functionalization of printers by always passing env
rather than setting env to None in short mode. This is not strictly
necessary for the env which is not used for printing global references
but it shall be more consistent in style when passing e.g. the nametab
functionally.
We however keep the fallback printer used in case of error while
printing: due to missing registration of submodule fields in the
nametab, printing with types does not work if there are references to
an inner module.
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We refactor the `Coqlib` API to locate objects over a namespace
`module.object.property`.
This introduces the vernacular command `Register g as n` to expose the
Coq constant `g` under the name `n` (through the `register_ref`
function). The constant can then be dynamically located using the
`lib_ref` function.
Co-authored-by: Emilio Jesús Gallego Arias <e+git@x80.org>
Co-authored-by: Maxime Dénès <mail@maximedenes.fr>
Co-authored-by: Vincent Laporte <Vincent.Laporte@fondation-inria.fr>
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This fixes an obvious bug introduced in #8602.
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tests.
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This is slightly more robust and allows to run the test suite with
Dune which may place OCaml objects differently.
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Note that since this now reduces before restricting universes
behaviour may be a bit different.
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See commit [Simplify code for [Definition := Eval ...]] which without
this breaks test suite 7631.v
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- Simplex based linear prover
Unset Simplex to get Fourier elimination
For lia and nia, do not enumerate but generate cutting planes.
- Better non-linear support
Factorisation of the non-linear pre-processing
Careful handling of equation x=e, x is only eliminated if x is used linearly
- More opaque interfaces
(Linear solvers Simplex and Mfourier are independent)
- Set Dump Arith "file" so that lia,nia calls generate Coq goals
in filexxx.v. Used to collect benchmarks and regressions.
- Rationalise the test-suite
example.v only tests psatz Z
example_nia.v only tests lia, nia
In both files, the tests are in essence the same.
In particular, if a test is solved by psatz but not by nia,
we finish the goal by an explicit Abort.
There are additional tests in example_nia.v which require specific
integer reasoning out of scope of psatz.
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They were allowed to stay in terms in some cases. We now ensure that if
an evar is defined as e.g. fun x => Type@{foo}, foo is properly
refreshed to be non-algebraic as it could otherwise appear in the term
and break the invariant.
Also cleanup the implementation of refresh_universes to avoid using a
mutable reference and simply rely on the Constr.map smartmap idiom
instead.
This might have compatibility issues, e.g. in HoTT where maybe more
non-algebraic proxy universes could be generated, we'll see.
For the bug report proper, there is a lack of bidirectional
type-checking that makes the initial definition fail (there's a
non-canonical choice of dependency if we don't consider the typing
constraint). With the Program bidir hint it passes.
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We remove sections paths from kernel names. This is a cleanup as most of the times this information was unused. This implies a change in the Kernel API and small user visible changes with regards to tactic qualification. In particular, the removal of "global discharge" implies a large cleanup of code.
Additionally, the change implies that some machinery in `library` and `safe_typing` must now take an `~in_section` parameter, as to provide the information whether a section is open or not.
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compat updates to do as part of a release.
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Also test that the compat updating script hasn't become outdated on the
CI.
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Mostly via `dev/tools/update-compat.py --cur-version=8.9`
We just remove test-suite/success/FunindExtraction_compat86.v because,
except for the `Extraction iszero.` line at the bottom, it is a
duplicate of `test-suite/success/Funind.v` (except with `-compat 8.6`).
We also manually update a number of test-suite files to pre-emptively
remove compatibility notations (which used to be compat 8.6, but are now
compat 8.7).
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All changes done with
```
git grep --name-only 'compat "8.6"' | xargs sed -i s'/compat "8.6"/compat "8.7"/g'
```
As per https://github.com/coq/coq/pull/8374#issuecomment-426202818 and
https://github.com/coq/coq/issues/8383#issuecomment-426200497
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Fixes #6764: Printing Notation regressed compared to 8.7
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return clause
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The no-inversion and maximal abstraction over dependencies now
supports abstraction over goal variables rather than only on "rel"
variables. In particular, it now works consistently using
"intro H; refine (match H with ... end)" or
"refine (fun H => match H with ... end)".
By doing so, we ensure that all three strategies are tried in all
situations where a return clause has to be inferred, even in the
context of a "refine".
See antepenultimate commit for discussion.
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even when no type constraint is given.
This no-inversion and maximal abstraction over dependencies in (rel)
variables heuristic was used only when a type constraint was given.
By doing so, we ensure that all three strategies "inversion with
dependencies as evars", "no-inversion and maximal abstraction over
dependencies in (rel) variables", "no-inversion and no abstraction
over dependencies" are tried in all situations where a return clause
has to be inferred.
See penultimate commit for discussion.
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The no-inversion no-dependency heuristic was used only in the absence
of type constraint. We may now use it also in the presence of a type
constraint.
See previous commit for discussion.
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As noted by Jason Gross on coq-club (Aug 18, 2016), the "small
inversion" heuristic is not used consistently depending on whether the
variables in the type constraint are Rel or Var.
This commit simply gives uniformly preference to the inversion of the
predicate along the indices of the type over other heuristics.
The next three commits will improve further a uniform use of the
different heuristics.
----------------------------------------------------------------------
Here are some extra comments on how to go further with the inference
of the return predicate:
The "small inversion" heuristic build_inversion_problem (1) is
characterized by two features:
- small inversion properly speaking (a), i.e. that is for a match on
t:I params p1(u11..u1p1) ... pn(un1..unpn) with pi exposing the
constructor structure of the indices of the type of t, a return
clause of the form "fun x1..xn (y:I params x1..xn) => match x1..xn y with
| p1(z11..z1p1) ... pn(zn1..znpn) => ?T@{z11..znpn}
| _ => IDProp
end" is used,
- the dependent subterms in the external type constraint U are replaced
by existential variables (b) which can be filled either by projecting
(i.e. installing a dependency) or imitating (i.e. no dependency);
this is obtained by solving the constraint ?T@{u11..unpn} == U by
setting ?T@{z11..znpn} := U'(...?wij@{zij:=uij}...) where U has been
written under the form U'(...uij...) highlighting all occurrences of
each of the uij occurring in U; otherwise said the problem is reduced to
the question of instantiating each wij, deciding whether wij@{zij} := zij
(projection) or wij@{zij} := uij (imitation) [There may be different
way to expose the uij in U, e.g. in the presence of overlapping, or of
evars in U; this is left undetermined].
The two other heuristics used are:
- prepare_predicate_from_arsign_tycon (2): takes the external type
constraint U and decides that each subterm of the form xi or y for a
match on "y:I params x1 ... xn" is dependent; otherwise said, it
corresponds to the degenerated form of (1) where
- no constructor structure is exposed (i.e. each pi is trivial)
- only uij that are Rel are replaced by an evar ?wij and this evar is
directly instantiated by projection (hence creating a dependency),
- simple use of of an evar in case no type constraint is given (3):
this evar is not dependent on the indices nor on the term to match.
Heuristic (1) is not strictly more powerful than other heuristics
because of (at least) two weaknesses.
- The first weakness is due to feature (b), i.e. to letting
unification decide whether these evars have to create a dependency
(projection) or not (imitation).
In particular, the heuristic (2) gives priority to systematic
abstraction over the dependencies (i.e. giving priority to
projection over imitation) and it can then be better as the
following example (from RelationClasses.v) shows:
Fixpoint arrows (l : Tlist) (r : Type) : Type :=
match l with
| Tnil => r
| A :: l' => A -> arrows l' r
end.
Fixpoint predicate_all (l : Tlist) : arrows l Prop -> Prop :=
match l with
| Tnil => fun f => f
| A :: tl => fun f => forall x : A, predicate_all tl (f x)
end.
Using (1) fails. It proposes the predicate
"fun l' => arrows ?l[l':=l'] Prop" so that typing the first branch
leads to unify "arrows ?l[l:=Tnil] Prop == Prop", a problem about
which evarconv unification is not able (yet!) to see what are the
two possible solutions. Using (2) works. It instead directly
suggests that the predicate is "fun l => arrows l Prop" is used, so
that unification is not needed.
Even if in practice the (2) is good (and hence could be added to
(1)), it is not universally better. Consider e.g.
y:bool,H1:P y,H2:P y,f:forall y, P y -> Q y |-
match y as z return Q y with
| true => f y H1
| false => f y H2
end : Q y
There is no way to type it with clause "as z return Q z" even if
trying to generalize H1 and H2 so that they get type P z.
- A second weakness is due to the interaction between small inversion
and constructors having a type whose indices havex a less refined
constructor structure than in the term to match, as in:
Inductive I : nat -> Set :=
| C1 : forall n : nat, listn n -> I n
| C2 : forall n : nat, I n -> I n.
Check (fun x : I 0 => match x with
| C1 n l => 0
| C2 n c => 0
end).
where the inverted predicate is "in I n return match n with 0 => ?T | _ => IDProp end"
but neither C1 nor C2 have fine enough types so that n becomes
constructed. There is a generic solution to that kind of situation which
is to compile the above into
Check (fun x : I 0 => match x with
| C1 n l => match n with 0 => 0 | _ -> id end
| C2 n c => match n with 0 => 0 | _ -> id end
end).
but this is not implemented yet.
In the absence of this refinement, heuristic (3) can here work
better.
So, the current status of the claim is that for (1) to be strictly
more powerful than other current heuristics, work has to be done
- (A) at the unification level (by either being able to reduce problems of
the form "match ?x[constructor] with ... end = a-rigid-term", or, at
worst, by being able to use the heuristic favoring projecting for such
a problem), so that it is better than (2),
- (B) at the match compilation level, by enforcing that, in each branch,
the corresponding constructor is refined so has to match (or
discriminate) the constraints given by the type of the term to
match, and hence being better than (3).
Moreover, (2) and (3) are disjoint. Here is an example which (3) can
solve but not (2) (and (1) cannot because of (B)). [To be fixed in
next commit.]
Inductive I : bool -> bool -> Type := C : I true true | D x : I x x.
Check fun z P Q (y:I true z) (H1 H2:P y) (f:forall y, P y -> Q y z) =>
match y with
| C => f y H1
| D _ => f y H2
end : Q y z.
Indeed, (2) infers "as y' in I b z return Q y z" which does not work.
Here is an example which (2) can solve but not (3) (and (1) cannot
because of (B) again). [To be fixed in 2nd next commit].
Check fun z P Q (y:I true z) (H1 H2:P y) (f:forall y z, P y -> Q y z) =>
match y with
| C => f y true H1
| D b => f y b H2
end : Q y z.
fix
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This is actually a bit ad hoc at this stage in the sense that this is
specifically to prefer an informative first-order unification failure
over the currently always uninformative failure coming from
second-order unification.
When second-order unification shall be able to give more information,
one may consider alternative strategies, even maybe reporting not just
one but the list of failures in all (interesting) branches.
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It was working in very specific context of section variables. We make
it work similarly in the same kind of specific context of
Parameters. See test file SchemeEquality.v for the expected form. See
discussion at PR #8509.
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We raise a normal error instead of an anomaly.
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We raise a normal error instead of an anomaly.
This fixes also #2550, #8492.
Note in passing: While the case of a type "Inductive I := list I -> I"
is difficult, the case of a "Inductive I := list nat -> I" should be
easily doable.
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