| Age | Commit message (Collapse) | Author |
|
This PR deprecates the use of `coqtop` as a compiler.
There is no point on having two binaries with the same purpose; after
the experiment in #8690, IMHO we have a lot to gain in terms of code
organization by splitting the compiler and the interactive binary.
We adapt the documentation and adapt the test-suite.
Note that we don't make `coqc` a true binary yet, but here we take
care only of the user-facing part.
The conversion of the binary will take place in #8690 and will bring
code simplification, including a unified handling of arguments.
|
|
|
|
[About] still says it.
Close #9056.
|
|
This is a reworking of 7fd28dc9: instead of using words such as
"domain of", "codomain of" to refer to a position in the instance of
the original evar, we simply display the instance and the name of the
unresolved evar in this instance. This is both simpler and more
informative. (The positional words remain useful for printing the
evar_map in debugging though.)
In passing, this fixes #8369 (Not_found in printing message about an
unresolved subevar).
Incidentally add possible breaking while printing "in environment".
|
|
Thanks to Georges Gonthier for noticing it.
Expanding a few Pervasives.compare at this occasion.
|
|
|
|
|
|
You can tell which it is from the `@{}` if you really care, and seeing
`Monomorphic List (A:Type)` with no indication that `Monomorphic` is
about universes can confuse people.
|
|
The checks were unnecessarily restrictive (since names can be used for
documentation purposes), and the error message was a bit wrong (it
mentioned a restriction on the explicit status of arguments).
|
|
|
|
|
|
Namely, it does not explicitly open a scope, but we remember that we
don't need the %type delimiter when in type position.
|
|
This modifies the strategy in previous commits so that priorities are
as before in case of non-open scopes with delimiters.
Additionally, we document the rare situation of overlapping
applicative notations (maybe this is too rare and ad hoc to be worth
being documented though).
|
|
|
|
|
|
We do a couple of changes:
- Splitting notation keys into more categories to make table smaller.
This should (a priori) make printing faster (see #6416).
- Abbreviations are treated for printing like single notations: they
are pushed to the scope stack, so that in a situation such as
Open Scope foo_scope.
Notation foo := term.
Open Scope bar_scope.
one looks for notations first in scope bar_scope, then try to use
foo, they try for notations in scope foo_scope.
- We seize the opportunity of this commit to simplify
availability_of_notation which is now integrated to
uninterp_notation and which does not have to be called explicitly
anymore.
|
|
See discussion on coq-club starting on 23 August 2016.
|
|
|
|
|
|
We encode the conversion to bits with little-endian right-associative
tuples to ensure that the head of the tuple (the `fst` element) is the
least significant bit. We still enforce that the ordering of bits
matches the order of the `bool`s in the `ascii` inductive type.
|
|
We could move another ~ 1s from Init.Byte to Strings.Byte by moving
`of_bits_to_bits` and `to_bits_of_bits`, but I figured it's probably not
worth it.
After | File Name | Before || Change | % Change
----------------------------------------------------------------------------------
1m16.75s | Total | 1m21.45s || -0m04.70s | -5.77%
----------------------------------------------------------------------------------
0m08.95s | Strings/Byte | 0m12.41s || -0m03.46s | -27.88%
0m07.24s | Byte | 0m08.76s || -0m01.51s | -17.35%
0m06.37s | plugins/setoid_ring/Ring_polynom | 0m06.24s || +0m00.12s | +2.08%
0m03.14s | Numbers/Integer/Abstract/ZBits | 0m03.20s || -0m00.06s | -1.87%
0m02.44s | ZArith/BinInt | 0m02.44s || +0m00.00s | +0.00%
0m02.24s | Numbers/Natural/Abstract/NBits | 0m02.20s || +0m00.04s | +1.81%
0m01.97s | Lists/List | 0m01.93s || +0m00.04s | +2.07%
0m01.85s | Numbers/NatInt/NZLog | 0m01.82s || +0m00.03s | +1.64%
0m01.78s | PArith/BinPos | 0m01.78s || +0m00.00s | +0.00%
0m01.74s | plugins/setoid_ring/InitialRing | 0m01.63s || +0m00.11s | +6.74%
0m01.73s | Strings/Ascii | 0m01.58s || +0m00.14s | +9.49%
0m01.39s | NArith/BinNat | 0m01.34s || +0m00.04s | +3.73%
0m01.32s | Numbers/NatInt/NZPow | 0m01.24s || +0m00.08s | +6.45%
0m01.22s | Numbers/NatInt/NZSqrt | 0m01.15s || +0m00.07s | +6.08%
0m01.11s | Arith/PeanoNat | 0m01.16s || -0m00.04s | -4.31%
0m01.10s | Numbers/Integer/Abstract/ZDivTrunc | 0m01.11s || -0m00.01s | -0.90%
0m01.02s | Specif | 0m01.04s || -0m00.02s | -1.92%
0m00.96s | Numbers/NatInt/NZMulOrder | 0m00.84s || +0m00.12s | +14.28%
0m00.95s | Numbers/Integer/Abstract/ZDivFloor | 0m00.97s || -0m00.02s | -2.06%
0m00.85s | plugins/setoid_ring/Ring_theory | 0m00.86s || -0m00.01s | -1.16%
0m00.82s | Structures/GenericMinMax | 0m00.85s || -0m00.03s | -3.52%
0m00.72s | Numbers/Integer/Abstract/ZLcm | 0m00.82s || -0m00.09s | -12.19%
0m00.69s | Numbers/NatInt/NZParity | 0m00.69s || +0m00.00s | +0.00%
0m00.68s | Numbers/NatInt/NZDiv | 0m00.71s || -0m00.02s | -4.22%
0m00.68s | Strings/String | 0m00.65s || +0m00.03s | +4.61%
0m00.64s | Numbers/Integer/Abstract/ZSgnAbs | 0m00.64s || +0m00.00s | +0.00%
0m00.64s | ZArith/Zeven | 0m00.48s || +0m00.16s | +33.33%
0m00.63s | ZArith/Zorder | 0m00.61s || +0m00.02s | +3.27%
0m00.57s | Numbers/Integer/Abstract/ZMulOrder | 0m00.67s || -0m00.10s | -14.92%
0m00.56s | Classes/Morphisms | 0m00.58s || -0m00.01s | -3.44%
0m00.55s | Numbers/NatInt/NZOrder | 0m00.51s || +0m00.04s | +7.84%
0m00.48s | ZArith/BinIntDef | 0m00.48s || +0m00.00s | +0.00%
0m00.46s | Classes/CMorphisms | 0m00.48s || -0m00.01s | -4.16%
0m00.46s | Numbers/Integer/Abstract/ZGcd | 0m00.46s || +0m00.00s | +0.00%
0m00.46s | Numbers/Natural/Abstract/NSub | 0m00.48s || -0m00.01s | -4.16%
0m00.45s | Logic | 0m00.44s || +0m00.01s | +2.27%
0m00.45s | Numbers/Natural/Abstract/NGcd | 0m00.48s || -0m00.02s | -6.24%
0m00.42s | Numbers/Natural/Abstract/NLcm | 0m00.40s || +0m00.01s | +4.99%
0m00.42s | Structures/OrdersFacts | 0m00.48s || -0m00.06s | -12.50%
0m00.41s | ZArith/Zbool | 0m00.38s || +0m00.02s | +7.89%
0m00.38s | Numbers/Integer/Abstract/ZPow | 0m00.34s || +0m00.03s | +11.76%
0m00.36s | Bool/Bool | 0m00.36s || +0m00.00s | +0.00%
0m00.36s | Numbers/NatInt/NZGcd | 0m00.35s || +0m00.01s | +2.85%
0m00.36s | ZArith/ZArith_dec | 0m00.38s || -0m00.02s | -5.26%
0m00.34s | Numbers/Integer/Abstract/ZAdd | 0m00.33s || +0m00.01s | +3.03%
0m00.34s | PArith/Pnat | 0m00.31s || +0m00.03s | +9.67%
0m00.32s | Numbers/Natural/Abstract/NOrder | 0m00.32s || +0m00.00s | +0.00%
0m00.32s | PArith/BinPosDef | 0m00.31s || +0m00.01s | +3.22%
0m00.32s | ZArith/Zcompare | 0m00.28s || +0m00.03s | +14.28%
0m00.30s | Classes/RelationClasses | 0m00.29s || +0m00.01s | +3.44%
0m00.30s | NArith/Nnat | 0m00.30s || +0m00.00s | +0.00%
0m00.29s | Numbers/Natural/Abstract/NAxioms | 0m00.26s || +0m00.02s | +11.53%
0m00.28s | Numbers/Integer/Abstract/ZAddOrder | 0m00.28s || +0m00.00s | +0.00%
0m00.28s | Structures/Orders | 0m00.30s || -0m00.01s | -6.66%
0m00.27s | Numbers/Integer/Abstract/ZAxioms | 0m00.23s || +0m00.04s | +17.39%
0m00.27s | Numbers/NatInt/NZAxioms | 0m00.26s || +0m00.01s | +3.84%
0m00.26s | Numbers/Integer/Abstract/ZMaxMin | 0m00.25s || +0m00.01s | +4.00%
0m00.26s | Numbers/NatInt/NZAdd | 0m00.28s || -0m00.02s | -7.14%
0m00.26s | Numbers/Natural/Abstract/NMaxMin | 0m00.24s || +0m00.02s | +8.33%
0m00.26s | Numbers/Natural/Abstract/NParity | 0m00.31s || -0m00.04s | -16.12%
0m00.26s | plugins/setoid_ring/ArithRing | 0m00.22s || +0m00.04s | +18.18%
0m00.26s | plugins/setoid_ring/Ring_tac | 0m00.24s || +0m00.02s | +8.33%
0m00.25s | Logic/Decidable | 0m00.26s || -0m00.01s | -3.84%
0m00.25s | Structures/OrdersTac | 0m00.25s || +0m00.00s | +0.00%
0m00.24s | Classes/Equivalence | 0m00.25s || -0m00.01s | -4.00%
0m00.24s | Datatypes | 0m00.27s || -0m00.03s | -11.11%
0m00.24s | Numbers/NatInt/NZMul | 0m00.25s || -0m00.01s | -4.00%
0m00.24s | plugins/setoid_ring/Ring | 0m00.20s || +0m00.03s | +19.99%
0m00.23s | Numbers/NatInt/NZAddOrder | 0m00.33s || -0m00.10s | -30.30%
0m00.23s | Numbers/Natural/Abstract/NAdd | 0m00.17s || +0m00.06s | +35.29%
0m00.22s | Arith/Compare_dec | 0m00.22s || +0m00.00s | +0.00%
0m00.22s | Classes/CRelationClasses | 0m00.25s || -0m00.03s | -12.00%
0m00.22s | Logic/EqdepFacts | 0m00.19s || +0m00.03s | +15.78%
0m00.22s | NArith/BinNatDef | 0m00.25s || -0m00.03s | -12.00%
0m00.22s | plugins/setoid_ring/Ring_base | 0m00.23s || -0m00.01s | -4.34%
0m00.21s | Arith/Arith | 0m00.19s || +0m00.01s | +10.52%
0m00.21s | Numbers/Natural/Abstract/NDiv | 0m00.19s || +0m00.01s | +10.52%
0m00.20s | Numbers/Integer/Abstract/ZProperties | 0m00.23s || -0m00.03s | -13.04%
0m00.20s | Relations/Relation_Operators | 0m00.17s || +0m00.03s | +17.64%
0m00.19s | Arith/Between | 0m00.22s || -0m00.03s | -13.63%
0m00.18s | Arith/Wf_nat | 0m00.24s || -0m00.06s | -25.00%
0m00.17s | Arith/Plus | 0m00.16s || +0m00.01s | +6.25%
0m00.17s | Nat | 0m00.18s || -0m00.00s | -5.55%
0m00.17s | Numbers/Natural/Abstract/NProperties | 0m00.22s || -0m00.04s | -22.72%
0m00.17s | Relations/Relation_Definitions | 0m00.08s || +0m00.09s | +112.50%
0m00.16s | Numbers/Integer/Abstract/ZLt | 0m00.16s || +0m00.00s | +0.00%
0m00.16s | Numbers/Natural/Abstract/NBase | 0m00.19s || -0m00.03s | -15.78%
0m00.16s | Numbers/Natural/Abstract/NPow | 0m00.15s || +0m00.01s | +6.66%
0m00.15s | Classes/Morphisms_Prop | 0m00.18s || -0m00.03s | -16.66%
0m00.14s | Arith/Mult | 0m00.12s || +0m00.02s | +16.66%
0m00.14s | Arith/Peano_dec | 0m00.16s || -0m00.01s | -12.49%
0m00.14s | Numbers/NatInt/NZBase | 0m00.13s || +0m00.01s | +7.69%
0m00.14s | Numbers/Natural/Abstract/NMulOrder | 0m00.13s || +0m00.01s | +7.69%
0m00.14s | Relations/Operators_Properties | 0m00.13s || +0m00.01s | +7.69%
0m00.14s | plugins/setoid_ring/BinList | 0m00.16s || -0m00.01s | -12.49%
0m00.13s | Arith/EqNat | 0m00.18s || -0m00.04s | -27.77%
0m00.13s | Structures/Equalities | 0m00.17s || -0m00.04s | -23.52%
0m00.12s | Arith/Lt | 0m00.11s || +0m00.00s | +9.09%
0m00.12s | Arith/Minus | 0m00.13s || -0m00.01s | -7.69%
0m00.12s | Decimal | 0m00.16s || -0m00.04s | -25.00%
0m00.12s | Numbers/Integer/Abstract/ZBase | 0m00.09s || +0m00.03s | +33.33%
0m00.12s | Numbers/Integer/Abstract/ZMul | 0m00.12s || +0m00.00s | +0.00%
0m00.12s | Numbers/Integer/Abstract/ZParity | 0m00.11s || +0m00.00s | +9.09%
0m00.12s | Numbers/Natural/Abstract/NAddOrder | 0m00.12s || +0m00.00s | +0.00%
0m00.11s | Arith/Factorial | 0m00.11s || +0m00.00s | +0.00%
0m00.11s | Lists/ListTactics | 0m00.13s || -0m00.02s | -15.38%
0m00.11s | Logic/Eqdep_dec | 0m00.12s || -0m00.00s | -8.33%
0m00.11s | Numbers/Natural/Abstract/NLog | 0m00.10s || +0m00.00s | +9.99%
0m00.11s | Peano | 0m00.10s || +0m00.00s | +9.99%
0m00.11s | Program/Basics | 0m00.07s || +0m00.03s | +57.14%
0m00.10s | Arith/Gt | 0m00.13s || -0m00.03s | -23.07%
0m00.10s | Bool/Sumbool | 0m00.10s || +0m00.00s | +0.00%
0m00.10s | Numbers/Natural/Abstract/NSqrt | 0m00.12s || -0m00.01s | -16.66%
0m00.10s | Wf | 0m00.11s || -0m00.00s | -9.09%
0m00.09s | Arith/Arith_base | 0m00.09s || +0m00.00s | +0.00%
0m00.09s | Logic_Type | 0m00.08s || +0m00.00s | +12.49%
0m00.08s | Arith/Le | 0m00.11s || -0m00.03s | -27.27%
0m00.08s | Numbers/BinNums | 0m00.06s || +0m00.02s | +33.33%
0m00.08s | Numbers/NatInt/NZBits | 0m00.12s || -0m00.03s | -33.33%
0m00.08s | Numbers/NatInt/NZProperties | 0m00.09s || -0m00.00s | -11.11%
0m00.08s | Program/Tactics | 0m00.08s || +0m00.00s | +0.00%
0m00.07s | Tactics | 0m00.10s || -0m00.03s | -30.00%
0m00.06s | Classes/SetoidTactics | 0m00.06s || +0m00.00s | +0.00%
0m00.06s | Numbers/NumPrelude | 0m00.06s || +0m00.00s | +0.00%
0m00.05s | Classes/Init | 0m00.04s || +0m00.01s | +25.00%
0m00.05s | Prelude | 0m00.09s || -0m00.03s | -44.44%
0m00.05s | Setoids/Setoid | 0m00.08s || -0m00.03s | -37.50%
0m00.04s | Relations/Relations | 0m00.04s || +0m00.00s | +0.00%
0m00.04s | Tauto | 0m00.09s || -0m00.05s | -55.55%
0m00.02s | Notations | 0m00.04s || -0m00.02s | -50.00%
|
|
Users can now register string notations for custom inductives.
Much of the code and documentation was copied from numeral notations.
I chose to use a 256-constructor inductive for primitive string syntax
because (a) it is easy to convert between character codes and
constructors, and (b) it is more efficient than the existing `ascii`
type.
Some choices about proofs of the new `byte` type were made based on
efficiency. For example, https://github.com/coq/coq/issues/8517 means
that we cannot simply use `Scheme Equality` for this type, and I have
taken some care to ensure that the proofs of decidable equality and
conversion are fast. (Unfortunately, the `Init/Byte.v` file is the
slowest one in the prelude (it takes a couple of seconds to build), and
I'm not sure where the slowness is.)
In String.v, some uses of `0` as a `nat` were replaced by `O`, because
the file initially refused to check interactively otherwise (it
complained that `0` could not be interpreted in `string_scope` before
loading `Coq.Strings.String`).
There is unfortunately a decent amount of code duplication between
numeral notations and string notations.
I have not put too much thought into chosing names; most names have been
chosen to be similar to numeral notations, though I chose the name
`byte` from
https://github.com/coq/coq/issues/8483#issuecomment-421671785.
Unfortunately, this feature does not support declaring string syntax for
`list ascii`, unless that type is wrapped in a record or other inductive
type. This is not a fundamental limitation; it should be relatively
easy for someone who knows the API of the reduction machinery in Coq to
extend both this and numeral notations to support any type whose hnf
starts with an inductive type. (The reason for needing an inductive
type to bottom out at is that this is how the plugin determines what
constructors are the entry points for printing the given notation.
However, see also https://github.com/coq/coq/issues/8964 for
complications that are more likely to arise if inductive type families
are supported.)
N.B. I generated the long lists of constructors for the `byte` type with
short python scripts.
Closes #8853
|
|
Preferring a notation which does require a delimiter, depending on
whether the coercion is removed or not, was done for primitive tokens.
We do it for all notations.
|
|
|
|
This adds an optional [Subgraph] part to the Print Universes command,
eg [Print Universes Subgraph(i j)] to print only constraints related
to i and j (and Prop/Set).
|
|
Use of boxes to ensure locality of formatting + use of a
prlist_with_sep so that there are breaking points only inbetween the
elements and not at the end of the list.
|
|
|
|
The names are `uXXX` with `XXX` some number avoiding collision.
Note that there may be some collisions with polymorphic binders, eg
something like
~~~
Set Universe Polymorphism.
Section foo.
Universe u0.
Definition bar := Type.
(* bar@{u0} = Type@{u0} but this isn't the section u0 *)
Definition baz := Type@{u0}. (* this one is the section u0 *)
Definition foobar := Eval compute in baz -> Type.
(* Type@{u0} -> Type@{u0} but these aren't the same u0 *)
~~~
So maybe we should do a nametab lookup too. This is strictly a
printing issue (polymorphic binder names have no other use).
In the monomorphic case names are qualified by the parent definition
so it should be fine (barring module/definition collision but we
already have those).
Note that there are still unnamed universes as they didn't go through
UState (eg schemes).
|
|
Otherwise
~~~
Unset Strict Universe Declaration.
Section bar.
Let baz := Type@{u}.
Definition k := baz.
End bar.
Section bar.
Let baz := Type@{u}.
Definition k' := baz.
End bar.
~~~
is broken (and has been since we stopped checking for repeated section names).
|
|
It was good enough for the makefile but not for emacs.
|
|
|
|
|
|
Coercions were missing.
|
|
|
|
Fixes #8736.
|
|
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.
|
|
- 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.
|
|
|
|
|
|
|
|
|
|
|
|
compat updates to do as part of a release.
|
|
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).
|
|
Fixes #6764: Printing Notation regressed compared to 8.7
|
|
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
|
|
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.
|
|
|
|
In particular we check if really used for internal debugging purpose
or to display a message to the user. In the latter case, we replace it
(when possible) by a higher-level printer (e.g. printing foo instead
of Top.foo). In the former case, we clarify that the use is a
debugging use.
Still not perfect (see a few FIXME).
|
|
|