Commit graph

2327 commits

Author SHA1 Message Date
Leonardo de Moura
bc8379256a refactor(kernel): remove pairs from kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-17 10:52:07 -07:00
Leonardo de Moura
9a3959eed1 feat(util): add method get_rc (mainly for debugging purposes)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-04-17 10:36:54 -07:00
Leonardo de Moura
c78e6787aa test(util/rb_tree): multi-thread test for rb trees
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-20 10:20:28 -07:00
Leonardo de Moura
fb2ec8fb12 fix(kernel): style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
9b161b825f refactor(kernel): instantiate_params
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
3651b4ecd0 refactor(kernel): replace_fn functional object
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
3939b93c2d refactor(kernel): substitution
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
25948ac534 refactor(kernel): cleanup interfaces
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
08087ea9c6 refactor(kernel): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
eb487e44c1 refactor(kernel): use names instead of unsigned integers to encode level parameters
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
ddbb3a7944 refactor(kernel): add error msg formatters, remove unnecessary files, add new type_checker interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
916301bdfb refactor(kernel): parametric kernel objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
54801bbd05 refactor(kernel): constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
aa4a7acccf feat(kernel/level): is_trivial predicate for level constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
0b3599851d refactor(library): remove unnecessary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
d836e45452 refactor(library): remove unnecessary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:57 -07:00
Leonardo de Moura
4b7fe064fe refactor(kernel): finish formatter interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
28516a8dc2 refactor(library): remove unnecessary file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
e0ef6b2e9a refactor(library): monotonic total order on terms
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
8cd78e00f1 refactor(library): deep_copy procedure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
41782c0894 test(kernel/metavar): add metavar tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
bf13441bd7 fix(kernel): bugs in justification module, add missing metavar methods, add basic metavar tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
4c30ea9251 fix(kernel/justification): none is the unit of mk_composite
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
3c6002e969 refactor(kernel): add mk_rev_app, update_rev_app, implement instantiate_metavars functions, modify instantiate (free vars) API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
42e253c962 fix(*): style and clang warnings
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
968c0d799f refactor(kernel): implement substitution methods
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
5f4b1cf47e feat(kernel): define metavar substitution based on red-black trees
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
f855dbb7b0 feat(util): add maps based on red-black trees
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
54d5088c98 feat(util/rb_tree): add check_invariant for red black trees
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
1ab12eb105 refactor(util/splay_map): remove unnecessary operation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
528ea367ad feat(util): add red-black trees
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
fdde12e6af refactor(kernel): remove unnecessary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
2a73389ed3 refactor(kernel): justification objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
50300126a5 refactor(util/name_generator): make sure there is no risk of overflow, name generators will be extensively used in version 0.2
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
501435f6fc feat(kernel): add has_local predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
e1f4f1f0d1 feat(util/thread): add atomic_uchar
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
997f32378c refactor(kernel): remove unnecessary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
6baa59376c refactor(kernel): normalizer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:56 -07:00
Leonardo de Moura
eb046c11fb refactor(kernel): the type in let-exprs is not optional anymore, if the user does not provide it, we use a metavariable
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
410d5cc8ed fix(kernel): remove unnecessary file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
16aa1ebbac refactor(kernel): replace_visitor
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
101888e079 refactor(kernel): delete update_expr
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
b5f0f28009 refactor(kernel): environment, kernel object and exceptions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
3c8ccdd33d test(util/exception): experiment with exceptions with nested std::function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
737fe6830f test(tests/kernel): adjust expr tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
f986963a95 refactor(kernel): serializer and deserializer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
74f74d2f79 refactor(kernel): shallow copy procedure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
5da501d538 fix(kernel): style warnings
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
73c8bf4436 refactor(tests/kernel): move tests to new kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
565dbe1700 fix(kernel/instantiate): bug in new head_beta_reduce
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
d17990ed78 refactor(kernel): add formatter and simplify contexts
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
53ee205dc6 fix(kernel): memory corruption bugs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
72e1678ad9 refactor(kernel): cleanup instantiate and abstract procedures, implement update procedures
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
db31cc37a1 refactor(kernel/free_vars): cleanup free_vars procedures
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
533f44e224 refactor(kernel/expr): for_each_fn, replace_fn, and find_fn without templates
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:55 -07:00
Leonardo de Moura
69b9f2dd37 refactor(kernel/expr): for_each and find functional objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
23988f528c refactor(kernel/expr): add expr constructors, and expression equality test
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
9d3db8de1f fix(kernel/diff_cnstrs): missing include
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
02413d7c44 refactor(kernel/expr): adding suport for universe polymorphism, and simplify metavariable representation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
13cfd60622 fix(kernel/diff_cnstrs): copyright msg
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
76b1ddb967 feat(kernel): add difference constraint solver with backtracking support, and justification generation, this solver will be used to check the satisfiability of universe level constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
9f93b5d97e feat(kernel/level): new universe level datastructure for universe level polymorphism
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
1b6b33b3f5 refactor(kernel): start version 0.2, new kernel with universe polymorphism and better/cleaner support for metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-18 10:27:54 -07:00
Leonardo de Moura
0c1674ab70 feat(builtin): quotient types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-12 00:20:46 -07:00
Leonardo de Moura
e0eacd1f9f feat(builtin): simpler encoding of sum types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-03-03 18:30:45 -08:00
Leonardo de Moura
1d10953da4 fix(library/elaborator): add hack for experimenting with algebraic hierarchy
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-25 11:20:40 -08:00
Leonardo de Moura
aa8240985a test(examples/lean): small version of algebraic hierarchy (proof of concept)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-24 20:51:19 -08:00
Leonardo de Moura
309e7ba880 fix(library/elaborator): temporary fix for bug reported by Jeremy
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-24 15:26:21 -08:00
Leonardo de Moura
16844fff73 feat(builtin): simulate binary encoding
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-20 20:44:05 -08:00
Leonardo de Moura
d79e9af210 fix(frontends/lean): help msg
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-18 09:31:30 -08:00
Leonardo de Moura
f781ad823c doc(builtin): Diaconescu’s theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-18 09:12:09 -08:00
Leonardo de Moura
e9dada5e14 refactor(builtin/kernel): use standard definition for 'or' and 'and'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-17 12:05:34 -08:00
Leonardo de Moura
4692e04d70 feat(builtin/proof_irrel): prove proof irrelevance
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-16 18:06:10 -08:00
Leonardo de Moura
c526e5ec00 feat(builtin/kernel): prove false_elim without using case
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-15 14:26:13 -08:00
Leonardo de Moura
1739b5c153 fix(kernel/type_checker): caching bug
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 10:43:01 -08:00
Leonardo de Moura
c740d9d799 fix(builtin/num): bug in the factorial definition
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 10:04:32 -08:00
Leonardo de Moura
45a0dbcc34 feat(builtin/num): define fact and exp
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 09:51:49 -08:00
Leonardo de Moura
368fcb5ff9 refactor(builtin/kernel): rename refute to by_contradiction
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-12 08:49:19 -08:00
Leonardo de Moura
69bccb6014 feat(builtin): define list, cons, nil and prove basic theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-11 21:32:05 -08:00
Leonardo de Moura
bfe64a7031 fix(library/elaborator): hack for fixing a bug due to pairs/projs, this is temporary fix until we build a new elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-11 21:30:26 -08:00
Leonardo de Moura
0878b44fc7 feat(frontends/lean): allow user to import several theories using a single import
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-11 17:15:12 -08:00
Leonardo de Moura
11a2b3016f fix(builtin/num): remove hacks for making the elaborator happy
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 14:05:51 -08:00
Leonardo de Moura
b7b868de85 fix(library/elaborator): bug reported by Jeremy Avigad
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 14:01:22 -08:00
Leonardo de Moura
a2d2e36f04 refactor(frontends/lean): remove notation for creating tuples
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 09:03:42 -08:00
Leonardo de Moura
4e08a3233e fix(builtin): build dependency issue
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-10 08:33:07 -08:00
Leonardo de Moura
273f78d1cb feat(builtin/num): prove strong induction and other theorems for num
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 21:09:50 -08:00
Leonardo de Moura
b119c11473 feat(builtin/tactic): add simp_no_assump tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 20:28:30 -08:00
Leonardo de Moura
4317f67bd2 fix(builtin/tactic): more meaningful error message when skip tactic is used in a full proof
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 18:57:33 -08:00
Leonardo de Moura
57982135d9 fix(library/simplifier): bug using congr1 theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 16:24:29 -08:00
Leonardo de Moura
c45c1748d8 refactor(builtin/kernel): reorder congr1 arguments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 16:15:44 -08:00
Leonardo de Moura
fd6f8b1945 refactor(builtin/num): simplify proofs using 'by simp'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 15:03:45 -08:00
Leonardo de Moura
2d70e2f4f2 fix(library/tactic/goal): bug in the proof builder
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 15:02:36 -08:00
Leonardo de Moura
4c76f6abb9 chore(builtin/num): remove leftover
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 11:39:26 -08:00
Leonardo de Moura
8df7c7b02d feat(kernel/type_checker): remove fallback that expands opaque definitions in the type checker
We should not rely on this feature. It can be quite expensive.
We invoke is_convertible in several places, in particular, if we are using overloading. For example, the frontend uses is_convertible to check which overload should be used. Thus, it will make several calls such as

   is_convertible(num, Nat)

If is_convertible starts unfolding opaque definitions, we would keep expanding num.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 11:31:24 -08:00
Leonardo de Moura
4c4c8b3e0d feat(builtin/num): prove basic theorems using simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 11:24:53 -08:00
Leonardo de Moura
633ed6bb69 fix(frontends/lean/parser): bug in add_rewrite
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 09:46:56 -08:00
Leonardo de Moura
b24c085cb0 feat(frontends/lean): avoid warning message
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-09 09:26:51 -08:00
Leonardo de Moura
d6167eae32 feat(builtin/num): define add and mul
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 22:28:15 -08:00
Leonardo de Moura
cc4148a98d feat(builtin/num): primitive recursion theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 22:05:57 -08:00
Leonardo de Moura
f28c56b188 feat(builtin/num): add auxiliary definitions and theorems for proving the primitive recursion theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 19:36:17 -08:00
Leonardo de Moura
fa4b60963b feat(builtin/num): define lt predicate, and prove basic theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 10:57:17 -08:00
Leonardo de Moura
1f3e0f7a38 chore(builtin/num): update object file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 09:16:52 -08:00
Leonardo de Moura
aeaa803f9a feat(builtin): add num type (the base type that will be used to build nat, int, real)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 09:12:53 -08:00
Leonardo de Moura
1c43020fc9 fix(library/tactic/goal): bug creating main proof builder
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-08 09:11:07 -08:00
Leonardo de Moura
24528ff685 fix(library/elaborator): fix glitches in the elaborator that were forcing us to provide parameters explicitly
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 18:02:08 -08:00
Leonardo de Moura
1ec01f5757 refactor(builtin): merge pair.lean with kernel.lean, and add basic theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 16:04:44 -08:00
Leonardo de Moura
ad7b13104f feat(*): add support for heterogeneous equality in the parser, elaborator and simplifier, adjusts unit test to reflect changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 15:03:16 -08:00
Leonardo de Moura
6d7ec9d7b6 refactor(kernel): add heterogeneous equality back to expr
The main motivation is that we will be able to move equalities between universes.

For example, suppose we have
    A : (Type i)
    B : (Type i)
    H : @eq (Type j) A B
where j > i

We didn't find any trick for deducing (@eq (Type i) A B) from H.
Before this commit, heterogeneous equality as a constant with type

   heq : {A B : (Type U)} : A -> B -> Bool

So, from H, we would only be able to deduce

   (@heq (Type j) (Type j) A B)

Not being able to move the equality back to a smaller universe is
problematic in several cases. I list some instances in the end of the commit message.

With this commit, Heterogeneous equality is a special kind of expression.
It is not a constant anymore. From H, we can deduce

   H1 : A == B

That is, we are essentially "erasing" the universes when we move to heterogeneous equality.
Now, since A and B have (Type i), we can deduce (@eq (Type i) A B) from H1. The proof term is

  (to_eq (Type i) A B (to_heq (Type j) A B H))  :  (@eq (Type i) A B)

So, it remains to explain why we need this feature.

For example, suppose we want to state the Pi extensionality axiom.

axiom hpiext {A A' : (Type U)} {B : A → (Type U)} {B' : A' → (Type U)} :
      A = A' → (∀ x x', x == x' → B x == B' x') → (∀ x, B x) == (∀ x, B' x)

This axiom produces an "inflated" equality at (Type U) when we treat heterogeneous
equality as a constant. The conclusion

     (∀ x, B x) == (∀ x, B' x)

is syntax sugar for

   (@heq (Type U) (Type U) (∀ x : A, B x) (∀ x : A', B' x))

Even if A, A', B, B' live in a much smaller universe.

As I described above, it doesn't seem to be a way to move this equality back to a smaller universe.

So, if we wanted to keep the heterogeneous equality as a constant, it seems we would
have to support axiom schemas. That is, hpiext would be parametrized by the universes where
A, A', B and B'. Another possibility would be to have universe polymorphism like Agda.
None of the solutions seem attractive.

So, we decided to have heterogeneous equality as a special kind of expression.
And use the trick above to move equalities back to the right universe.

BTW, the parser is not creating the new heterogeneous equalities yet.
Moreover, kernel.lean still contains a constant name heq2 that is the heterogeneous
equality as a constant.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-07 10:28:10 -08:00
Leonardo de Moura
354d5607af chore(builtin/sum): cleanup
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 21:25:57 -08:00
Leonardo de Moura
d4b08fcf96 feat(library/elaborator): be 'lazy' when normalizing terms in the elaborator
Unification constraints of the form

         ctx |- ?m[inst:i v] == T

         and

         ctx |- (?m a1 ... an) == T

are delayed by elaborator because the produce case-splits.
On the other hand, the step that puts terms is head-normal form is eagerly applied.
This is a bad idea for constraints like the two above. The elaborator will put T in head normal form
before executing process_meta_app and process_meta_inst. This is just wasted work, and creates
fully unfolded terms for solvers and provers.

The new test demonstrates the problem. In this test, we mark several terms as non-opaque.
Without this commit, the produced goal is a huge term.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 21:08:00 -08:00
Leonardo de Moura
ff955f9830 chore(frontends/lean/parser): update comments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
593f1f2ebd fix(frontends/lean): allow user set constants defined in other namespaces as opaque
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
363c4dc5c2 feat(library/elaborator): improve support for dependent pairs in the elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 20:56:31 -08:00
Leonardo de Moura
4b4b5e3345 fix(frontends/lean): import explicit versions when using the command 'using'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 17:33:58 -08:00
Leonardo de Moura
ea06bb2885 feat(frontends/lean/pp): change how lift local entries are pretty printed
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 17:26:38 -08:00
Leonardo de Moura
a51139e63b feat(frontends/lean): position information in error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 17:26:38 -08:00
Leonardo de Moura
e85b1f1ac0 feat(library/elaborator): expose elaborator configuration options
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 17:26:38 -08:00
Leonardo de Moura
e4579b93e4 fix(library/elaborator): try first projection before imitation in the higher-order unifier
Projections build more general solutions. This commit also adds a test that demonstrates the issue. Before this commit, the elaborator would produce the "constant" predicate (fun x, a + b = b + a).

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 13:35:05 -08:00
Leonardo de Moura
ef321e730f feat(builtin/tactic): add the 'skip' (bogus) tactic for ignoring a proof hole in a big proof
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 12:47:23 -08:00
Leonardo de Moura
581ae0c83b chore(build): fix build dependencies
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 09:30:33 -08:00
Leonardo de Moura
db3bcdba55 refactor(builtin): move pair definition and theorems to pair.lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 09:20:52 -08:00
Leonardo de Moura
daf7075ce4 refactor(builtin/sum): use new 'have' expression to formalize optional-types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 09:15:12 -08:00
Leonardo de Moura
5d698a60a7 refactor(builtin/sum): use new 'have' expression to formalize sum-types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 08:59:05 -08:00
Leonardo de Moura
1d23d93e60 feat(frontends/lean): new 'have' expression
Add 'have' notation suggested by Jeremy Avigad.
Add his example to the test suite.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 08:03:59 -08:00
Leonardo de Moura
ba9a8f9d98 feat(frontends/lean): add 'show' expression syntax sugar
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 07:50:22 -08:00
Leonardo de Moura
90f5a4f813 feat(builtin/sum): cleanup, and avoid unicode character that is not available in some platforms
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 00:20:49 -08:00
Leonardo de Moura
c01f82aeb7 feat(builtin): add sum types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-05 23:04:44 -08:00
Leonardo de Moura
87da23649b feat(builtin/optional): prove dichotomy and induction theorems for optional types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-05 19:49:50 -08:00
Leonardo de Moura
30570c843f feat(builtin): add optional type
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-05 17:33:06 -08:00
Leonardo de Moura
aec9c84d0d fix(util/lua): deadlock
Errors in the Lua library produce longjmps.
The longjmp will not unwind the C++ stack.
In the new test, the lock was not being released, and the system was deadlocking in the next call that tried to lock the environment

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 15:16:29 -08:00
Leonardo de Moura
f4ec874c6e refactor(builtin): remove dead module heq
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 14:42:28 -08:00
Leonardo de Moura
0283887ee9 refactor(builtin/kernel): move the heq axioms into kernel.lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 14:17:34 -08:00
Leonardo de Moura
493007b7bc fix(frontends/lean/pp): bug in tuple/pair pretty printing
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 13:58:01 -08:00
Leonardo de Moura
f03c09c10b feat(library/elaborator): add support for proj/pair/sigma in the the higher-order unification procedure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 13:53:30 -08:00
Leonardo de Moura
c9b72df34b fix(frontends/lean/parser): bug when applying tactics to synthesize remaining meta-variables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 11:36:26 -08:00
Leonardo de Moura
9dc86e3cf5 fix(builtin/kernel): rename generalized proof_irrel axiom to hproof_irrel, and derive the restricted one
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 10:06:29 -08:00
Leonardo de Moura
9a677331da feat(builtin): simulate subtypes using sigma types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-04 01:46:50 -08:00
Leonardo de Moura
61d0c792ff fix(frontends/lean/parser): bug in tuple/proj1/proj2
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 22:46:29 -08:00
Leonardo de Moura
4fcc292332 feat(frontends/lean): parse and pretty print pair/tuple projection operators proj1 and proj2, fix bug in the type checker
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 22:10:01 -08:00
Leonardo de Moura
cc96b50644 feat(frontends/lean): support for nary-tuples, improve notation for non-dependent tuples, add support in the elaborator for sigma types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 20:53:11 -08:00
Leonardo de Moura
5c991f8fbf feat(frontends/lean): parse and pretty print tuples/pairs
This commit also fixes a bug in the type checker when processing dependent pairs.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 20:10:30 -08:00
Leonardo de Moura
5e5ab1429d feat(frontends/lean): parse and pretty print sigma types
This commit also fixes some bugs in the implementation of Sigma types.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 18:16:00 -08:00
Leonardo de Moura
8eec289ce1 feat(kernel): add dependent pairs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-03 16:52:49 -08:00
Leonardo de Moura
6be50f0133 refactor(builtin/heq): merge cast and heq modules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 15:01:48 -08:00
Leonardo de Moura
c56df132b8 refactor(kernel): remove semantic attachments from the kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-02 14:48:27 -08:00
Leonardo de Moura
e3dc552c39 fix(library/simplifier): nontermination
The example tests/lua/simp1.lua demonstrates the issue.
The higher-order matcher matches closed terms that are definitionally equal.
So, given a definition

    definition a := 1

it will match 'a' with '1' since they are definitionally equal.

Then, if we have a theorem

    theorem a_eq_1 : a = 1

as a rewrite rule, it was triggering the following infinite loop when simplifying the expression "a"

   a --> 1 --> 1 --> 1 ...

The first simplification is expected. The other ones are not.
The problem is that "1" is definitionally equal to "a", and they match.
The rewrite_rule_set manager accepts the rule a --> 1 since the left-hand-side does not occur in the right-hand-side.

To avoid this loop, we test if the new expression is not equal to the previous one.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 15:55:21 -08:00
Leonardo de Moura
1d85267d26 fix(library/simplifier): assumptions/context may contain equations where the left-hand-side is a metavariable or semantic attachment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 15:38:22 -08:00
Leonardo de Moura
110ca84984 feat(library/simplifier): allow the user to associate a simplifier monitor with the lua_State object
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-31 13:49:24 -08:00
Leonardo de Moura
0ed35e2133 fix(build): kernel.lean depends on tactic.lua
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 23:15:44 -08:00
Leonardo de Moura
2aaded261e fix(kernel/environment): imported predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 23:02:19 -08:00
Leonardo de Moura
bc2d504ccc feat(builtin/kernel): add rewrite rules for if-then-else
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:38:35 -08:00
Leonardo de Moura
b444756d20 fix(library/simplifier): missing condition in implication simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:14:01 -08:00
Leonardo de Moura
4d533c6a25 feat(builtin/kernel): add nonempty_range theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 22:13:34 -08:00
Leonardo de Moura
ddaf948c72 feat(builtin/kernel): add nonempty_fun theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 19:38:51 -08:00
Leonardo de Moura
759aa61f70 refactor(builtin/kernel): define if-then-else using Hilbert's operator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 19:28:42 -08:00
Leonardo de Moura
b45ab9dc30 feat(library/elaborator): use equality constraints instead of convertability constraints on definitions
Convertability constraints are harder to solve than equality constraints, and it seems they don't buy us anything definitions. They are just increasing the search space for the elaborator.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 14:13:21 -08:00
Leonardo de Moura
8c1f6b9055 fix(kernel/typechecker): allow elaborator to infer (Type U+1)
In the new test elab8.lean, the parameter B is in (Type U+1).
Before, this commit, the type checker was forcing all metavariables that must be types to be <= (Type U). This restriction was preventing the elaborator from succeeding in reasonable cases.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-30 14:00:01 -08:00
Leonardo de Moura
41f5e2a067 feat(library/simplifier): statically check (conditional) equations (aka rewrite rules) to verify whether we can skip type checking when using them in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 18:32:40 -08:00
Leonardo de Moura
01259b1e84 feat(kernel): make sure U is the maximal universe
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 16:31:00 -08:00
Leonardo de Moura
ea6bf224e5 feat(frontends/lean): make the parser accept (Type -> ...)
Before this commit, the parser would accept only a universe level or a ')' after '(' 'Type'

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 15:23:20 -08:00
Leonardo de Moura
4f3127d3d5 fix(library/simplifier): check if the given types are convertible to ceq expected types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 15:15:55 -08:00
Leonardo de Moura
a19f9d4846 feat(library/simplifier): discard conditional equations that are clearly non-terminating
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 13:56:45 -08:00
Leonardo de Moura
dd6aae378f fix(library/simplifier): must use metavar_env in is_ceq, otherwise it may ceqs that contain metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 13:29:20 -08:00
Leonardo de Moura
4dc3aa46c3 feat(frontends/lean): allow tactics to be used in axiom/variable declarations and in the type of definitions/theorems; add a new test showing the need for this feature
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 12:02:12 -08:00
Leonardo de Moura
069e5edf6b fix(library/simplifier): include flag indicating if the proof generated by simplifier is a homogenous or heterogenous equality, use flag to fix bug in the simp_tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 12:01:01 -08:00
Leonardo de Moura
f0a2d3627e refactor(frontends/lean): use ascii prefix for auxiliary let-declarations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 11:58:09 -08:00
Leonardo de Moura
92ba4e8b2d feat(library/simplifier): add support for metavariables in conditional rewrite rules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 08:34:04 -08:00
Leonardo de Moura
f101554e93 fix(util/script_exception): make sure a script_nested_exception may have a nested script_nested_exception, use LEAN_THREAD_LOCAL macro instead of thread_local
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-29 08:07:52 -08:00
Leonardo de Moura
24452289dd feat(library/simplifier): make sure the simplifier can handle meta-variables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 20:30:47 -08:00
Leonardo de Moura
ee4344076e feat(library/simplifier): improve error message when simplifier is looping
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 19:36:31 -08:00
Leonardo de Moura
b6985bd713 feat(builtin/kernel): add another rewrite rule
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 15:56:26 -08:00
Leonardo de Moura
e2540b68db fix(src/builtin/tactic): add default rule set if none is provided
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 15:56:01 -08:00
Leonardo de Moura
7f53cb9601 feat(frontends/lean/parser): add_rewrite take the 'using' command into account
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 01:15:28 -08:00
Leonardo de Moura
b31ef34787 feat(library/simplifier): preserve binder names when applying higher-order rewrite rules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 00:50:27 -08:00
Leonardo de Moura
6da1b447f0 fix(library/hop_match): do not match iff with =
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-28 00:21:05 -08:00
Leonardo de Moura
dbdbd211e3 fix(library/simplifier): compilation warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 23:29:53 -08:00
Leonardo de Moura
55fde28954 feat(kernel/type_checker): optionally provide metavariable environment in the methods: is_definitionally_equal, is_convertible and ensure_pi
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:47:03 -08:00
Leonardo de Moura
160dc71cb5 refactor(kernel/type_checker): use read-only metavariable environment in methods that do not require write access to the metavariable environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:38:06 -08:00
Leonardo de Moura
05b4d8411b refactor(kernel/normalizer): normalizer only needs read access to metavariable environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 17:03:36 -08:00
Leonardo de Moura
3b152d1a9e refactor(kernel): use ro_metavar_env instead of metavar_env in places where we only need to read the metavariable environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 16:44:43 -08:00
Leonardo de Moura
8bccfb947a feat(library/simplifier): expose simplier and simplifier_monitor objects in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 15:02:05 -08:00
Leonardo de Moura
c088825ef0 feat(library/simplifier): add simplifier_monitor interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 11:46:28 -08:00
Leonardo de Moura
b26035fcf6 feat(kernel/type_checker): improve application type mismatch error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-27 09:45:17 -08:00
Leonardo de Moura
579b751e01 fix(library/simplifier): compilation warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 23:16:24 -08:00
Leonardo de Moura
ceff335bb8 doc(doc/lean/tutorial): update tutorial
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 22:58:44 -08:00
Leonardo de Moura
4d25cb7f47 feat(library/tactic): add simplify_tactic based on the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 18:53:18 -08:00
Leonardo de Moura
5e6c1d4904 refactor(builtin/heq): remove axiom hpiext since we don't use it anymore
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 13:11:17 -08:00
Leonardo de Moura
50df761d90 refactor(library/simplifier): remove the is_typem hack, it is not needed anymore now that we don't use hpiext anymore
Now, we are again using the following invariant for simplifier_fn::result
The type of in the equality of the result is definitionally equal to the
type of the resultant expression.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 12:21:23 -08:00
Leonardo de Moura
29e448f034 fix(library/simplifier): remove support in the simplifier for (forall x : A, B x) when it is not a proposition, the problem is that hpiext axiom produces an equality in a too big universe
For example, in the hpiext axiom, the resultant equality if for (Type M+1)

axiom hpiext {A A' : TypeM} {B : A -> TypeM} {B' : A' -> TypeM} :
      A = A' -> (∀ x x', x == x' -> B x = B' x') -> (∀ x, B x) = (∀ x, B' x)

even if the actual arguments A, A’, B, B’ "live" in a much smaller universe (e.g., Type).

So, it would be great if we could move the resultant equality back to the right universe.
I don't see how to do it right now.

The other solution would require a major rewrite of the code base.
We would have to support universe level arguments like Agda, and write the axiom hpiext as:

axiom hpiext {l : level} {A A' : (Type l)} {B : A -> (Type l)} {B' : A' -> (Type l)} :
      A = A' -> (∀ x x', x == x' -> B x = B' x') -> (∀ x, B x) = (∀ x, B' x)

This is the first instance I found where it is really handy to have this feature.
I think this would be a super clean solution, but it would require a big rewrite in the code base.
Another problem is that the actual semantics that Agda has for this kind of construction is not clear to me.
For instance, sometimes Agda reports that the type of an expression is (Set omega).

An easier to implement hack is to support "axiom templates".
We create instances of hipext "on-demand" for different universe levels.
This is essentially what Coq does, since the universe levels are implicit in Coq.
This is not as clean as the Agda approach, but it is much easier to implement.

A super dirty trick is to include some instances of hpiext for commonly used universes
(e.g., Type and (Type 1)).

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 12:10:34 -08:00
Leonardo de Moura
52ee9b35dd feat(library/simplifier): add support for simplifying even when heq module is not available
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 11:29:36 -08:00
Leonardo de Moura
fafaa7e78e fix(library/simplifier): remove hack for handling some constants that expect an argument of type TypeU, the new approach is general
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 10:10:57 -08:00
Leonardo de Moura
89bb5fbf19 chore(library/simplifier): fix style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 00:36:17 -08:00
Leonardo de Moura
844572c382 feat(library/simplifier): support for dependent simplification in Pi/forall expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-26 00:32:05 -08:00
Leonardo de Moura
e8bba1ebf3 fix(frontends/lean/frontend): the definition of the explicit version @f must be definitionally equal to f
Before this commit, the explicit version @f of a constant f with implicit arguments as not definitionally equal to f.

For example, if we had

variable f {A : Type} : A -> Bool

Then, the definition of @f was

definition @f (A : Type) (a : A) : Bool := f A a

This definition is equivalent to
     fun A a, f A a
which is not definitionally equal to
     f
since definitionally equality in Lean ignores Eta conversion.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 20:34:28 -08:00
Leonardo de Moura
6bc1537e25 feat(frontends/lean/parser): allow the user to write (Type) without providing a level
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 20:17:36 -08:00
Leonardo de Moura
9fb3ccb4c0 feat(library/simplifier): support for dependent simplification in lambda expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 16:54:42 -08:00
Leonardo de Moura
7015089734 fix(library/simplifier): move to locally nameless approach in the simplifier. Contextual simplification may add rewriting rules with free variables, and it is a mess to manage them when using de Bruijn indices
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:49:44 -08:00
Leonardo de Moura
df3129e80d fix(library/hop_match): typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-25 10:08:53 -08:00
Leonardo de Moura
7a4eb4b8ed feat(library/simplifier): contextual simplification for A -> B
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 22:32:55 -08:00
Leonardo de Moura
c2381e43f1 fix(library/simplifier): bug in cast elimination
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 21:25:09 -08:00
Leonardo de Moura
2bb33c55fe feat(builtin/kernel): add more theorems useful for simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 18:52:50 -08:00
Leonardo de Moura
8f455f5965 fix(frontends/lean): bug in scope construct
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:23:29 -08:00
Leonardo de Moura
7f3e2b3ef4 fix(frontends/lean/parser): bug in 'using' construct
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
8e0888828d fix(library/simplifier): missing check in mk_hcongr_th
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
26bea77721 fix(library/simplifier): bug in heterogeneous equality support, and universe commutativity support in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:46 -08:00
Leonardo de Moura
009217b499 feat(builtin/hep): replace hallext axiom with theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-24 17:09:20 -08:00
Leonardo de Moura
dbc100cc2e feat(library/simplifier): cast elimination in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 17:28:14 -08:00
Leonardo de Moura
180be5c4a2 feat(library/simplifier): improve contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 13:11:58 -08:00
Leonardo de Moura
33193e1ab3 feat(library/simplifier): improve contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:54:29 -08:00
Leonardo de Moura
d6692264e8 feat(library/simplifier): contextual simplifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-23 12:23:22 -08:00
Leonardo de Moura
1638a7bb02 fix(frontends/lean/pp): compute local shared nodes, and avoid unnecessary let's
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 21:44:24 -08:00
Leonardo de Moura
17cce340f6 fix(library/elaborator): in optimization for metavariable free terms
The optimization was incorrect if the term indirectly contained a metavariable.
It could happen if the term contained a free variable that was assigned in the context to a term containing a metavariable.

This commit also adds a new test that exposes the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 18:06:00 -08:00
Leonardo de Moura
8214c7add4 feat(library/elaborator): compensate the lack of eta-reduction (and eta-expanded normal forms) in the kernel normalizer
Before this commit, the elaborator was solving constraints of the form

       ctx |- (?m x) == (f x)
as
       ?m <- (fun x : A, f x)    where A is the domain of f.

In our kernel, the terms f and (fun x, f x) are not definitionally equal.
So, the solution above is not the only one. Another possible solution is

       ?m  <- f

Depending of the circumstances we want  ?m <- (fun x : A, f x) OR ?m <- f.
For example, when Lean is elaborating the eta-theorem in kernel.lean, the first solution should be used:
       ?m <- (fun x : A, f x)

When we are elaborating the axiom_of_choice theorem, we need to use the second one:
       ?m <- f

Of course, we can always provide the parameters explicitly and bypass the elaborator.
However, this goes against the idea that the elaborator can do mechanical steps for us.

This commit addresses this issue by creating a case-split
       ?m <- (fun x : A, f x)
       OR
       ?m <- f

Another solution is to implement eta-expanded normal forms in the Kernel.

With this change, we were able to cleanup the following "hacks" in kernel.lean:
     @eps_ax A (nonempty_ex_intro H) P w Hw
     @axiom_of_choice A B P H
where we had to explicitly provided the implicit arguments

This commit also improves the imitation step for Pi-terms that are actually arrows.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 13:28:54 -08:00
Leonardo de Moura
6cb4d165c9 feat(builtin/kernel): dependent version of axiom of choice
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 11:04:27 -08:00
Leonardo de Moura
88b6778a1f fix(emacs): syntax highlight
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:44:12 -08:00
Leonardo de Moura
66553268d0 feat(builtin/kernel): add skolem_th, we need it to justify skolemization preprocessing step
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:41:07 -08:00
Leonardo de Moura
d9b5ebc738 refactor(builtin/kernel): cleanup Hilbert operator definition
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 09:18:40 -08:00
Leonardo de Moura
bcf60db23b fix(builtin/kernel): Hilbert operator only for non-empty types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 08:52:31 -08:00
Leonardo de Moura
94a3136904 feat(builtin/kernel): add Hilbert's operator, and derive axiom of choice using it
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-22 08:21:11 -08:00
Leonardo de Moura
425d31f513 chore(library/simplifier): fix style warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 21:45:55 -08:00
Leonardo de Moura
cca15f1390 feat(library/simplifier): congruence theorem compilation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 21:16:23 -08:00
Leonardo de Moura
029d74ec11 chore(kernel): remove comment, we decided to have Eta as a simplification rule
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:35:05 -08:00
Leonardo de Moura
95b6e61738 feat(kernel/max_sharing): check for imminent stack overflows and interruptions in the expression sharing maximizer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:33:49 -08:00
Leonardo de Moura
2089b85532 refactor(kernel/instantiate): remove code duplication
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:30:38 -08:00
Leonardo de Moura
7299b2d5d6 chore(kernel): remove dead file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:21:13 -08:00
Leonardo de Moura
fbaf6e887f refactor(builtin/kernel): put the congruence theorems in a format that is easier for the simplifier to process
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 14:03:51 -08:00
Leonardo de Moura
ead54bbf57 feat(library/simplifier): enforce max_steps option
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-21 12:12:17 -08:00
Leonardo de Moura
1ccfac5873 feat(library/simplifier): conditional rewriting
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 21:15:46 -08:00
Leonardo de Moura
6bcd8e3ee5 fix(library/expr_lt): use expression depth instead of size to obtain a monotonic total order on terms
It is not incorrect to use size, but it can easily overflow due to sharing.
The following script demonstrates the problem:

local f = Const("f")
local a = Const("a")
function mk_shared(d)
   if d == 0 then
      return a
   else
      local c = mk_shared(d-1)
      return f(c, c)
   end
end
print(mk_shared(33):size())

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 17:40:49 -08:00
Leonardo de Moura
cd19d4da01 feat(library/simplifier): memoize intermediate results
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 17:03:44 -08:00
Leonardo de Moura
97ead50a3e feat(builtin/Nat): flip orientation of associativity axioms for + and *
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 15:38:00 -08:00
Leonardo de Moura
ad219d43d9 refactor(*): semantic attachment parsing and simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:44:45 -08:00
Leonardo de Moura
217e56ea03 feat(kernel/expr): make sure semantic attachments are smaller than other kinds of expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 14:10:44 -08:00
Leonardo de Moura
abfeacb8f0 fix(tests/library/expr_lt): adjust is_lt unit tests to reflect recent modifications
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:44:44 -08:00
Leonardo de Moura
56f5657ee7 fix(library/simplifier): ordered rewriting
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:13:16 -08:00
Leonardo de Moura
5060bdbf14 fix(kernel/expr): compilation warning
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:12:49 -08:00
Leonardo de Moura
6a63ef3bc5 feat(library/expr_lt): make sure the total order on terms is monotonic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 13:07:18 -08:00
Leonardo de Moura
ac9f8f340d feat(kernel/expr): add efficient get_size() function for expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 12:28:37 -08:00
Leonardo de Moura
913d893204 feat(library/simplifier): add support for 'permutation' rewrite rules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-20 08:29:31 -08:00
Leonardo de Moura
8e90d17a0b fix(library/hop_match): style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 23:28:12 -08:00
Leonardo de Moura
69d7ee316f feat(library/simplifier): improve simplification by evaluation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 23:26:34 -08:00
Leonardo de Moura
08053c1172 feat(library/hop_match): make the higher order pattern matcher slightly stronger
It now can handle (?m t) where t is not a locally bound variable, but ?m and all free variables in t are assigned.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 20:35:50 -08:00
Leonardo de Moura
90ffb9d5ec fix(frontends/lean/pp): bug in pp_abstraction_core
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 19:47:40 -08:00
Leonardo de Moura
6db10c577b feat(builtin/kernel): add proof irrelevance axiom
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:20:09 -08:00
Leonardo de Moura
d322f63113 feat(frontends/lea): add commands for creating and managing rewrite rule sets
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 12:03:59 -08:00
Leonardo de Moura
bbf6e6a256 feat(builtin/kernel): create default rule set in the kernel, and adjust unit tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 11:24:20 -08:00
Leonardo de Moura
3bbadddc94 chore(library/simplifier): cleanup and add comments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:54:09 -08:00
Leonardo de Moura
7492fd5a2c feat(library/simplifier): add support for simplification by evaluation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:34:55 -08:00
Leonardo de Moura
475df3d94e chore(builtin/kernel): add theorem for rewriter/simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:34:18 -08:00
Leonardo de Moura
e512241c8f fix(emacs): missing keyword
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:32:45 -08:00
Leonardo de Moura
11719713ec feat(library/hop_match): optionally unfold constants when performing higher order matching
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 10:32:06 -08:00
Leonardo de Moura
39c3b17eb7 feat(library/simplifier): add support for Eta-reduction in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 00:40:35 -08:00
Leonardo de Moura
ed009f4c88 feat(kernel/simplifier): add support for Beta-reduction in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-19 00:40:20 -08:00
Leonardo de Moura
7a3aab60c6 chore(builtin/kernel): remove \bowtie as notation for transitivity
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 21:11:12 -08:00
Leonardo de Moura
2753a0ffc0 fix(builtin/kernel): add ascii notation for transitivity
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 20:56:35 -08:00
Leonardo de Moura
32c5bc25e3 refactor(library/simplifier): cleanup rewrite_rule_set, and use it in the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 20:52:33 -08:00
Leonardo de Moura
466285c577 refactor(library/simplifier): rewriter_rule_set
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 17:26:01 -08:00
Leonardo de Moura
feea96e84d feat(library/simplifier): add rewrite_rule_set extension for managing rewrite rules in an environment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 15:43:24 -08:00
Leonardo de Moura
eae79877ae feat(library/simplifier): add rewrite_rule_set
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 12:50:46 -08:00
Leonardo de Moura
27ab49ae9d feat(library/simplifier): bottom-up simplifier skeleton
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-18 12:49:41 -08:00
Leonardo de Moura
40b7ed13c2 fix(tests/lean): adjust tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 19:27:32 -08:00
Leonardo de Moura
534838a36c chore(build): update automatically generated files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:30:45 -08:00
Leonardo de Moura
d711ca4d1b feat(builtin/heq): add heq C++/Lean interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:30:21 -08:00
Leonardo de Moura
20c8b91d07 feat(builtin/if_then_else): add more theorems for rewriting
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 18:11:23 -08:00
Leonardo de Moura
2434024272 fix(library/rewriter): warning in release mode
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 15:46:49 -08:00
Leonardo de Moura
ba88a3b05a chore(builtin/heq): remove unnecessary import
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 15:40:56 -08:00
Leonardo de Moura
70828af6db refactor(builtin/heq): cleanup universes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:52:09 -08:00
Leonardo de Moura
fc4c6454a7 chore(tests/lean): adjust tests to reflect recent changes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:36:55 -08:00
Leonardo de Moura
0660cdbdb7 feat(builtin/cast): use heq in the cast library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 14:31:45 -08:00
Leonardo de Moura
52756c50fc fix(builtin/heq): extensionality axioms
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 12:56:36 -08:00
Leonardo de Moura
64795c6c42 feat(builtin): add heterogeneous equality theory
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 12:32:49 -08:00
Leonardo de Moura
baed98d5be chore(builtin/kernel): adjust emacs mode and fix typo
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-17 10:14:57 -08:00
Leonardo de Moura
5bee259a00 refactor(kernel): remove unnecessary universe
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 18:06:25 -08:00
Leonardo de Moura
a43020b31b refactor(kernel): remove heterogeneous equality
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 17:39:12 -08:00
Leonardo de Moura
1da4294793 refactor(builtin): more theorems, fix iff notation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 09:26:50 -08:00
Leonardo de Moura
398d83b6d5 chore(builtin/Nat): use iff
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:06:53 -08:00
Leonardo de Moura
4dc98bc73b refactor(builtin/kernel): use iff instead of = for Booleans
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 02:05:09 -08:00
Leonardo de Moura
d063828ff9 feat(library/kernel_bindings): expose abst_name, abst_domain and abst_body in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-16 00:03:16 -08:00
Leonardo de Moura
8d73fb5699 fix(library/hop_match): Lua bindings gotcha
See http://www.luafaq.org/gotchas.html#T6.4

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 23:51:26 -08:00
Leonardo de Moura
14c6218bdc chore(kernel): file name convention
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 20:06:29 -08:00
Leonardo de Moura
3238c7e2a0 feat(library/simplifier): add is_permutation_ceq predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 19:53:52 -08:00
Leonardo de Moura
7fb0aa4800 chore(kernel/expr): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:24:31 -08:00
Leonardo de Moura
438fa8251b test(kernel/expr): check if the serializer works for metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:15:56 -08:00
Leonardo de Moura
5058e403b5 test(kernel/expr): check if the serializer works for applications with many argumets
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:09:46 -08:00
Leonardo de Moura
c096eec1d6 chore(kernel/expr): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 17:09:04 -08:00
Leonardo de Moura
8c2f78a756 feat(builtin): minimize use of heterogenous equality in the kernel, add simpler version of congruence theorems for non-dependent types
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:34:23 -08:00
Leonardo de Moura
c73398a0b8 refactor(library/simplifier): relax rule for conditional equalities
The idea is to support conditional equations where the left-hand-side does not contain all theorem arguments, but the missing arguments can be inferred using type inference.
For example, we will be able to have the eta theorem as rewrite rule:

theorem eta {A : TypeU} {B : A → TypeU} (f : ∀ x : A, B x) : (λ x : A, f x) = f
:= funext (λ x : A, refl (f x))

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 16:06:00 -08:00
Leonardo de Moura
3daac17ea8 feat(library/simplifier): convert disequalities (a ≠ b) into equations '(a = b) = false'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 15:30:16 -08:00
Leonardo de Moura
1176093afa refactor(library/simplifier): simplifier should only use homogeneous equalities
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 14:58:32 -08:00
Leonardo de Moura
f177c8d1ec fix(library/elaborator): missing condition
The elaborator was failing in the following higher-order constraint

   ctx |- (?M a) = (?M b)

This constraint has solution, but the missing condition was making the elaborator to reduce this problem to

   ctx |- a = b

That does not have a solution.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 14:11:36 -08:00
Leonardo de Moura
c651d3ea2d feat(library/simplifier): filter out propositions that cannot be used as conditional equations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 12:06:27 -08:00
Leonardo de Moura
94fa987814 fix(kernel/type_checker): is_proposition method was still assuming that a Pi never has type Bool
The method is_proposition was using an optimization that became incorrect after  we identified Pi and forall.
It was assuming that any Pi expression is not a proposition.
This is not true anymore. Now, (Pi x : A, B) is a proposition if B is a proposition.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 11:02:52 -08:00
Leonardo de Moura
3ab2d2a441 fix(frontends/lean/parser): memory leak due to g++ bug
g++ implementation of std::initializer_list has bug.
http://gcc.gnu.org/ml/gcc-bugs/2013-06/msg00095.html

This commit memory leaks triggered by this bug.
It also adds minimal tests to expose three different instances of the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 10:15:04 -08:00
Leonardo de Moura
83efa644d1 fix(frontends/lean/parser): uninitialized var error reported by valgrind
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-15 08:43:43 -08:00
Leonardo de Moura
28eb980484 fix(build): C++ module dependency problem, and style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 18:30:31 -08:00
Leonardo de Moura
c8e1ec87d2 feat(library/simplifier): add to_ceqs function that converts a theorem into a sequence of conditional equations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 18:30:19 -08:00
Leonardo de Moura
7c2a4211a8 feat(kernel): expose imported predicate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:41:40 -08:00
Leonardo de Moura
07059b0531 feat(library): add if_then_else Lean/C++ interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 16:10:49 -08:00
Leonardo de Moura
8217a544cc fix(library/hop_match): bugs in the higher-order matching procedure, add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:37:28 -08:00
Leonardo de Moura
acfb11e290 fix(kernel/instantiate): relax apply_beta pre-condition
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:51 -08:00
Leonardo de Moura
a968a43487 fix(kernel/free_vars): make sure has_free_var does not return incorrect result due to arithmetic overflows
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-14 14:36:14 -08:00
Leonardo de Moura
f8eaae7218 feat(builtin/kernel): add new useful theorems for the simplifier
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 18:21:22 -08:00
Leonardo de Moura
4595c50f7e fix(library/hop_match): in locally bound variable management
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 18:06:23 -08:00
Leonardo de Moura
ccb9faf065 refactor(*): error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 16:54:21 -08:00
Leonardo de Moura
55aa4cbfa3 feat(frontends/lean): improve error message for expressions containing unsolved metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 13:21:44 -08:00
Leonardo de Moura
12451e4a35 feat(frontends/lean/pp): display implicit arguments when expression contains metavariables
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-13 12:42:05 -08:00
Leonardo de Moura
35bacf95fc feat(shell): provide the default environment when parsing Lua files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 18:21:14 -08:00
Leonardo de Moura
7f818ecd92 feat(library): match procedure for higher-order patterns
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:45:24 -08:00
Leonardo de Moura
e6c322d97f feat(kernel/free_vars): make free_vars module functions more robust
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:44:28 -08:00
Leonardo de Moura
29fec3fecc fix(builtin/util): bug incorrect encoding of \t and \n in regular expression, and missing local
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:40:41 -08:00
Leonardo de Moura
915644f3b3 fix(util/debug): avoid infinite loop when Ctrl-D is pressed after an assertion violation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:20:35 -08:00
Leonardo de Moura
5d9a95addd refactor(kernel/free_vars): replace max_free_var with relaxed free_var_range
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 17:06:57 -08:00
Leonardo de Moura
582569b793 feat(frontends/lean): allow the user to set the trust_imported flag when creating environments using Lua
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 16:46:53 -08:00
Leonardo de Moura
4d9eb4ac6c feat(kernel): add max_free_var function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-12 16:45:34 -08:00
Leonardo de Moura
6508e63a17 feat(builtin/macros): add assume/take macros for making proof scripts more readable
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 18:36:37 -08:00
Leonardo de Moura
781720a26a feat(builtin/kernel): add left_comm theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 18:08:08 -08:00
Leonardo de Moura
a1a467a65f refactor(builtin): move congruence theorems to kernel/if_then_else modules
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:48:28 -08:00
Leonardo de Moura
a0a92f11b7 feat(builtin/congr): add congruence theorems for contextual simplification
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:37:36 -08:00
Leonardo de Moura
53537d0684 feat(builtin/kernel): 'implication' simplification theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 13:35:20 -08:00
Leonardo de Moura
50f281b430 feat(builtin/kernel): add eqf_intro and eqf_elim theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 11:13:54 -08:00
Leonardo de Moura
4057f0d2fe feat(emacs): minor improvements to emacs mode
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-11 11:13:20 -08:00
Leonardo de Moura
745c702ffb fix(build): dependency problem on some platforms
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 19:06:15 -08:00
Leonardo de Moura
d4a7d796a5 feat(builtin): prove strong induction theorem, add < theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 18:46:33 -08:00
Leonardo de Moura
5fb718c03a fix(build): broken dependencies between lean executable and .olean, *_decls.cpp and *_decls.h files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-10 10:58:35 -08:00
Leonardo de Moura
9e8b083673 feat(emacs): more highlighting
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 20:44:01 -08:00
Leonardo de Moura
3008cad151 feat(emacs): highlight tactics
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 20:10:57 -08:00
Leonardo de Moura
2cf73fc4d2 feat(emacs): useful abbreviations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 19:57:00 -08:00
Leonardo de Moura
65bdb9c7e0 fix(frontends/lean): unprotected call to Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 19:56:20 -08:00
Leonardo de Moura
411f14415d feat(builtin): automatically generate Lean/C++ interface for builtin theories
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 18:09:53 -08:00
Leonardo de Moura
a339a53f50 feat(util/options): 'verbose' as a system option, add -q (quiet) option
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 15:31:58 -08:00
Leonardo de Moura
8c41b4e899 feat(build): run tests using -t
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 14:12:32 -08:00
Leonardo de Moura
2179e57db3 refactor(builtin): move if_then_else to its own module
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 14:08:39 -08:00
Leonardo de Moura
fdeb457a81 feat(kernel/pos_info_provider): add support for file names in pos_info_provider
The idea is to include the file name when displaying justification objects.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 12:19:30 -08:00
Leonardo de Moura
dff0b9011b chore(builtin/cast): cleanup
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 12:06:22 -08:00
Leonardo de Moura
3e18cdfeec feat(util/format): do not use colors by default
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 11:56:58 -08:00
Leonardo de Moura
6fe362ef07 feat(emacs): include lean-mode Emacs files in the distribution
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 11:50:07 -08:00
Leonardo de Moura
84e211b81b fix(frontends/lean): missing ':' in error messages
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 11:19:58 -08:00
Leonardo de Moura
f7c7dd4ed4 feat(frontends/lean): include filename in error messages, use GNU error message style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 11:01:27 -08:00
Leonardo de Moura
87b238efcd chore(builtin/kernel): cleanup
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 09:00:05 -08:00
Leonardo de Moura
57c0006916 chore(*): cleanup lean builtin symbols, replace :: with _
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 08:33:52 -08:00
Leonardo de Moura
25086947fa fix(builtin/kernel): incorrect comment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 19:14:11 -08:00
Leonardo de Moura
e42b616438 fix(kernel/normalizer): equality between semantic attachments
Given a heterogenous equality:  a == b
The normalizer will only reduce it if a and b are objects of the same kind.
Now, 1 == true is not reduced to false anymore.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 19:10:30 -08:00
Leonardo de Moura
8e9d88c2cf refactor(builtin/kernel): prove iff::intro, and add a new name for it boolext (Boolean extensionality)
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 18:31:45 -08:00
Leonardo de Moura
a4b3d6d6c8 refactor(builtin/kernel): prove eta using function extensionality, and rename abst and abstpi to funext and allext
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 17:25:14 -08:00
Leonardo de Moura
9c8026b86e refactor(builtin/macros): remove 'take', 'discharge' and 'instantiate' macros
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:58:01 -08:00
Leonardo de Moura
bdec4c8799 refactor(builtin/Nat): mark constants as opaque
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:53:08 -08:00
Leonardo de Moura
2e3b92ef36 refactor(builtin/kernel): cleanup
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:52:43 -08:00
Leonardo de Moura
a6e0dcc96c fix(builtin/cast): remove dominj axiom, it is not consistent with the new semantics of Pi/forall
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 16:19:11 -08:00
Leonardo de Moura
57640ecf19 fix(library/elaborator): array bounds
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 13:18:49 -08:00
Leonardo de Moura
2b2aa228e3 refactor(builtin/kernel): start with small universes
The universe constraint manager is more flexible now.
We don't need to start with a huge universe  U >= 512.
We can start small, and increase it on demand.

If module mod1 needs it, it can always add

   universe U >= 3

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 12:35:00 -08:00
Leonardo de Moura
cfe576f551 fix(library/elaborator): bug in the elaborator
The elaborator was not handling correctly constraints of the form

    ctx |- ?m << (Pi x : A, B)
    and
    ctx |- (Pi x : A, B) << ?m

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 12:10:50 -08:00
Leonardo de Moura
dd6c13abb0 fix(util/buffer): warning produced by clang++
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 11:27:11 -08:00
Leonardo de Moura
85de05e5cf chore(kernel/unification_constraint): update max_constraint comment to reflect its new semantics
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 01:09:47 -08:00
Leonardo de Moura
abf61be8f6 chore(library/tactic): remove imp_tac, it is not needed anymore
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 00:57:04 -08:00
Leonardo de Moura
048151487e feat(kernel): use Pi as forall/implication
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 00:38:39 -08:00
Leonardo de Moura
e12d6e44cd fix(util/name): bug in Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 17:52:51 -08:00
Leonardo de Moura
8ce6266e6b feat(library/kernel_bindings): add new predicates for kernel objects in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 17:36:54 -08:00
Leonardo de Moura
6f4ca7bd2a feat(frontends/lean): expose is_explicit function in the Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 17:36:27 -08:00
Leonardo de Moura
4fdc0406be feat(util/name): additional methods to name Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 17:35:34 -08:00
Leonardo de Moura
248d55d454 chore(util/script_state): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 16:59:50 -08:00
Leonardo de Moura
2cd2527d9f refactor(shell): move read-eval-loop script to repl.lua
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 16:56:22 -08:00
Leonardo de Moura
0bc2c51c9c fix(build): put back the dependency on lean executable for .olean files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 16:13:58 -08:00
Leonardo de Moura
d12d0f036f feat(kernel/environment): universe variables now live in their own namespace
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:57:36 -08:00
Leonardo de Moura
95515ca5df chore(*): fix warnings produced by clang++
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:39:49 -08:00
Leonardo de Moura
a3af87f8d3 chore(frontends/lean/frontend): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:28:21 -08:00
Leonardo de Moura
0363faeec8 fix(frontends/lean/scanner): assertion violation, and add more tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:12:34 -08:00
Leonardo de Moura
fb73514913 fix(frontends/lean/parser): parser aborted if the scanner throws an exception in the first call to scan(); position information was being shown twice for scanner exceptions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:04:30 -08:00
Leonardo de Moura
f12a76a5cd test(frontends/lean/scanner): missing tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 15:03:46 -08:00
Leonardo de Moura
c7338a8eab chore(frontends/lean/scanner): remove dead code
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 14:37:28 -08:00
Leonardo de Moura
29db6accb8 test(tests/lean): new tests for exercising the environment object
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 14:34:21 -08:00
Leonardo de Moura
f67eab000b fix(util/serializer): nontermination on corrupted files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 14:21:54 -08:00
Leonardo de Moura
d5ddb186d9 feat(library/kernel_bindings): add load method to Lua API
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 14:21:24 -08:00
Leonardo de Moura
6077dc61b7 feat(builtin): remove lean executable as a dependency for builtin .lean files
Otherwise, we have to rebuild all .lean files whenever we change the executable.
This commit also adds a test for each .lean file.
This is useful for increasing coverage and having a log on how long does it take to process these files.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:53:30 -08:00
Leonardo de Moura
0a20356a51 fix(kernel/environment): we should not add an universe contraint object to the set of object when an integer overflow occurs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:43:22 -08:00
Leonardo de Moura
17c4cce89c fix(library/elaborator): remove_detail procedure was keeping a lot of details when typeof_mvar_justification was being used
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:24:46 -08:00
Leonardo de Moura
0f1737d62c fix(frontends/lean): more precise position information for infix operators
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 13:19:26 -08:00
Leonardo de Moura
0bdecb6aa4 style(builtin/Nat): name convention
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-07 00:05:51 -08:00
Leonardo de Moura
c5d13abd6f refactor(builtin/Nat): rename destruct to discriminate
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 23:05:27 -08:00
Leonardo de Moura
abb9b8af83 fix(frontends/lean): bug in pop::context command, and add new tests for the universe command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 17:14:07 -08:00
Leonardo de Moura
4424a314e0 feat(kernel): add get_universe_distance method
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 17:13:13 -08:00
Leonardo de Moura
5fe8c32da9 feat(kernel): use new universe contraints in the environment, allow new constraints to be added
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 16:46:11 -08:00
Leonardo de Moura
b5a30855f8 feat(kernel/universe_constraints): add new class for managing universe constraints
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 15:01:28 -08:00
Leonardo de Moura
68832dc6f2 fix(builtin/macros): comments
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 12:07:13 -08:00
Leonardo de Moura
929a536e2f fix(builtin/README): update documentation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 12:03:11 -08:00
Leonardo de Moura
62bb2ab2f9 fix(builtin/Nat): name convention
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:14 -08:00
Leonardo de Moura
645e748302 feat(frontends/lean): add 'using' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:14 -08:00
Leonardo de Moura
8c956280d9 chore(frontends/lean): rename setoption and setopaque commands to set::option and set::opaque
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-06 11:41:03 -08:00
Leonardo de Moura
7222a2d1a9 feat(builtin/kernel): use the same notation for mp, eq::mp and forall::elim
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 21:39:31 -08:00
Leonardo de Moura
935c2a03a3 feat(*): change name conventions for Lean builtin libraries
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 19:21:44 -08:00
Leonardo de Moura
771b099c0c fix(frontends/lean): must invoke lua GC before closing a scope, reason: we may still have references to the current environment inside of the Lua state object
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 16:38:29 -08:00
Leonardo de Moura
9d6bd7501c feat(doc/lean): include lean documentation scripts in the test set
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:16:47 -08:00
Leonardo de Moura
4ba097a141 feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:06:36 -08:00
Leonardo de Moura
6569b07b7c feat(frontends/lean/parser): rename 'show' expression to 'have'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:25:58 -08:00
Leonardo de Moura
0b4bdceb10 feat(builtin/macros): rename 'For' macro to 'take'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:08:55 -08:00
Leonardo de Moura
9f08156a73 feat(frontends/lean/parser): combine Echo and Show commands into the 'print' command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:03:35 -08:00
Leonardo de Moura
ce1213a020 feat(frontends/lean): use '(* ... *)' instead of '(** ... **)' for script code blocks
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 10:32:47 -08:00
Leonardo de Moura
028a9bd9bd feat(frontends/lean/scanner): use Lua style comments in Lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 08:53:27 -08:00
Leonardo de Moura
f5cc2458a9 fix(frontends/lean/parser_calc): missing save calls
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 18:26:30 -08:00
Leonardo de Moura
fbe0bccf51 chore(*): name convention, proof construnction functions/macros start with upper-case
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 18:11:01 -08:00
Leonardo de Moura
9eb4dc4a81 feat(kernel, library/elaborator, frontends/lean): improve how elaborator_exceptions are displayed in the Lean frontend
This commit affects different modules.
I used the following approach:
1- I store the metavariable environment at unification_failure_justifications. The idea is to capture the set of instantiated metavariables at the time of failure.
2- I added a remove_detail function. It removes propagation steps from the justification tree object. I also remove the backtracking search space associated with higher-order unificiation. I keep only the search related to case-splits due to coercions and overloads.

3- I use the metavariable environment captured at step 1 when pretty printing the justification of an elaborator_exception.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 17:18:23 -08:00
Leonardo de Moura
66ec538c63 doc(doc/lean/calc.md): calculational proof documentation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 11:52:21 -08:00
Leonardo de Moura
5b5cebe750 refactor(builtin/Nat): use obtain-from instead of ExistsElim, and use more user-friendly argument order for Induction
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 10:33:57 -08:00
Leonardo de Moura
9f3706e365 feat(builtin/macros): add obtain-from macro for ExistsElim
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-03 10:32:49 -08:00
Leonardo de Moura
d7efdff83d feat(builtin/Nat): add more leq theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 22:48:10 -08:00
Leonardo de Moura
cf35e7bed7 feat(frontends/lean): add support for disequalities in calculational proofs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 22:47:45 -08:00
Leonardo de Moura
6329d1828d feat(frontends/lean): reuse name expression
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 20:08:21 -08:00
Leonardo de Moura
92c7145d7f feat(kernel/expr): maximize sharing before serializing
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 20:03:42 -08:00
Leonardo de Moura
2d5800ace4 feat(builtin/Nat): leq axiom, and some theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 18:24:32 -08:00
Leonardo de Moura
9620b00e24 feat(kernel/metavar): is instantiate_metavars, we are also instantiating assigned metavariables that occur in the local context of unassinged ones.
This modification improves the effectiveness of the process_metavar_inst procedure in the Lean elaborator.

For example, suppose we have the constraint

   ctx |- ?M1[inst:0 ?M2] == a

If ?M1 and ?M2 are unassigned, then we have to consider the two possible solutions:

        ?M1 == a
    or
        ?M1 == #0 and ?M2 == a

On the other hand, if ?M2 is assigned to b, then we can ignore the second case.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 16:08:38 -08:00
Leonardo de Moura
ecc5d1bc3a refactor(kernel): move printer to library, cleanup io_state interface
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:37:50 -08:00
Leonardo de Moura
0592261847 refactor(kernel/io_state): move io_state_stream to library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:14:21 -08:00
Leonardo de Moura
b81d3309b9 fix(kernel): remove ios hack
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 13:03:25 -08:00
Leonardo de Moura
9c5fa72f56 fix(library/elaborator): avoid unused variable warning in release build
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 12:40:41 -08:00
Leonardo de Moura
430b75f38f test(tests/lean): add version of the Nat library full of holes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 12:31:13 -08:00
Leonardo de Moura
307099b1cb refactor(builtin/Nat): cleanup all proofs using calculational proof style
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 12:13:26 -08:00
Leonardo de Moura
e714bd7982 feat(frontends/lean): add syntax sugar for applying Subst in calculational proofs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 11:23:55 -08:00
Leonardo de Moura
111949b9be feat(frontends/lean): calculational proofs
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 10:53:14 -08:00
Leonardo de Moura
0cb741285c chore(*): do not type check imported modules when running .cpp tests
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 07:11:55 -08:00
Leonardo de Moura
d7493ea86c refactor(frontends/lean/parser): use std::function
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 06:53:34 -08:00
Leonardo de Moura
5540fc861a refactor(frontends/lean/parser): break parser in smaller chunks
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 06:48:40 -08:00
Leonardo de Moura
7d18e9b32e refactor(frontends/lean/parser): cleanup
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-02 04:37:21 -08:00
Leonardo de Moura
49425f1a5b feat(builtin/Nat): multiplication axioms and theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 21:32:07 -08:00
Leonardo de Moura
d72b165db4 feat(builtin/Nat): cleanup and add PlusAssoc
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 17:19:12 -08:00
Leonardo de Moura
aa009b6b05 feat(builtin/Nat): add basic axioms and theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 15:53:53 -08:00
Leonardo de Moura
b2a8f4118d feat(library/elaborator): process ho-match before normalizing
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 14:46:19 -08:00
Leonardo de Moura
7726ccad28 chore(builtin): rename nat, int and real modules to Nat, Int and Real.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 13:52:25 -08:00
Leonardo de Moura
43909ca66b feat(frontends/lean/pp): pretty print SetOpaque command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 13:16:44 -08:00
Leonardo de Moura
770145a361 feat(builtin): use namespaces when defining nat, int and real.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 12:55:09 -08:00
Leonardo de Moura
d633622d90 feat(frontends/lean/parser): namespaces
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 12:28:18 -08:00
Leonardo de Moura
c423198a69 feat(builtin/kernel): add Not.*Elim theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 11:35:21 -08:00
Leonardo de Moura
a8bc9fb4e0 refactor(builtin/kernel): mark exists as opaque after proving key theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 11:00:32 -08:00
Leonardo de Moura
74cae2a154 refactor(library/elaborator): remove hackish rule
After the recent fixes, the hack in process_metavar is not needed anymore.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 10:55:39 -08:00
Leonardo de Moura
5f29146e0b feat(library/elaborator): use is_convertible for constraints without metavariables in the elaborator
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 03:14:01 -08:00
Leonardo de Moura
cbd1f98365 fix(library/elaborator): bug at method process_metavar_inst, add new test that exposed the bug
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-01 03:02:41 -08:00
Leonardo de Moura
0d815b8594 refactor(kernel/context): hide that the context is implemented using lists
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 19:43:50 -08:00
Leonardo de Moura
1cb7408c46 fix(kernel/normalizer): metavariable reification was incorrect, add tst11 at tests/kernel/normalizer.cpp to expose the bug
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 16:24:36 -08:00
Leonardo de Moura
cd3bbb1ebf fix(kernel/builtin): enforcing design decision: semantic attachments are NOT simplifiers, they should do only evaluation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-31 10:14:17 -08:00
Leonardo de Moura
c485b4bc4c fix(kernel/environment): binary file reader, force the file to be read in binary mode
We need this flag to be able to read the file on Windows.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 18:20:40 -08:00
Leonardo de Moura
1f6e959139 feat(deserializer): protect against corrupted binary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 18:05:38 -08:00
Leonardo de Moura
c473a484bb feat(util/object_serializer): protect against corrupted files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 17:58:20 -08:00
Leonardo de Moura
390a78a8d2 chore(frontends/lean/parser): remove 'Skipped' message
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 15:35:12 -08:00
Leonardo de Moura
909b10f515 fix(builtin): dependency
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 15:31:19 -08:00
Leonardo de Moura
931e196e83 fix(build): problem with reading LEAN_PATH on cygwin
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 15:12:31 -08:00
Leonardo de Moura
cc07c440e1 refactor(builtin): move pre-compiled object files to subdirectory
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 13:46:39 -08:00
Leonardo de Moura
49698bd053 chore(library/all): remove unnecessary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 13:37:25 -08:00
Leonardo de Moura
08718e33dc refactor(builtin): only load the kernel and natural numbers by default
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 13:35:37 -08:00
Leonardo de Moura
a017801983 chore(builtin): cleanup dependencies
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 12:40:42 -08:00
Leonardo de Moura
a80fccea93 chore(*): cleanup builtin registration
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 12:19:00 -08:00
Leonardo de Moura
2a2f0b0d89 refactor(kernel/builtin): move helper decl macros to a separate file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:51:30 -08:00
Leonardo de Moura
ecd62a1783 refactor(builtin/basic): rename basic.lean to kernel.lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:46:03 -08:00
Leonardo de Moura
4401b390fe refactor(library/arith): do not load specialfn by default
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:25:43 -08:00
Leonardo de Moura
72761f14e4 refactor(library/io_state): move to the kernel
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:20:23 -08:00
Leonardo de Moura
46a8300a2d refactor(library/arith): move real and special function declarations to .lean files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 11:02:22 -08:00
Leonardo de Moura
c3bc6afb12 refactor(library/arith): move int and nat declarations to .lean files.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-30 10:32:14 -08:00
Leonardo de Moura
097b10e424 refactor(kernel/builtin): move builtin declarations to basic
There is a lot to be done. We should do the same for Nat, Int and Real.
We also should cleanup the file builtin.cpp and builtin.h.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 22:00:03 -08:00
Leonardo de Moura
37e8738a5f refactor(kernel/expr): value deserializer
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 20:47:14 -08:00
Leonardo de Moura
9b7d596e6b chore(builtin/basic): simplify UnfoldExists2 proof
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 20:33:31 -08:00
Leonardo de Moura
a7654cfdbe chore(builtin/basic): remove unnecessary parentheses
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 20:16:01 -08:00
Leonardo de Moura
de77851a00 refactor(util/object_serializer): add methods write_core and read_core that allows to pack information in the byte used to indicate whether an object is already in the cache or not
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 19:59:53 -08:00
Leonardo de Moura
dbd122301a feat(kernel/object): compact object serialization kind ids
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 19:19:24 -08:00
Leonardo de Moura
d0fdc3619b feat(kernel/expr): compress application serialization
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 19:11:57 -08:00
Leonardo de Moura
63a4a2f288 feat(builtin/basic): add UnfoldExists and neq
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 18:30:41 -08:00
Leonardo de Moura
15621610e9 refactor(library/arith): replace Nat, Int, Real with simple variable decls instead of semantic attachments
This commit also fixes bugs in the Alias command.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 17:04:36 -08:00
Leonardo de Moura
a1a5fb101d feat(frontends/lean): add Alias command
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 16:25:45 -08:00
Leonardo de Moura
14c3e11289 refactor(kernel/builtin): emove mk_bin_rop and mk_bin_lop to library
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 15:23:18 -08:00
Leonardo de Moura
92404c511c refactor(kernel/builtin): Bool type does not need to be a semantic attachment
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 15:12:08 -08:00
Leonardo de Moura
8ff919ef2a chore(build): remove dead dependency
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 14:49:22 -08:00
Leonardo de Moura
6633dff46f fix(build): githash generation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 14:41:28 -08:00
Leonardo de Moura
dfe46b9d25 refactor(kernel/builtin): move definition and axioms to basic.lean
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 14:01:30 -08:00
Leonardo de Moura
b1efdac07b feat(frontends/lean/parser): universe declarations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 13:15:09 -08:00
Leonardo de Moura
f8b82d854e feat(builtin/basic): add TypeM alias
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 13:03:32 -08:00
Leonardo de Moura
1b300d3598 chore(kernel/builtin): remove unnecessary functions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 12:55:51 -08:00
Leonardo de Moura
f7889511f9 fix(build): cycle triggered by githash.h dependencies
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 12:47:25 -08:00
Leonardo de Moura
df3686634d refactor(kernel/builtin): remove unnecessary predicates
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 12:20:29 -08:00
Leonardo de Moura
ac9801c7d7 feat(builtin): add support for cross-compilation
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 11:58:55 -08:00
Leonardo de Moura
5b7d254e52 feat(builtin): add pre-compiled .lean builtin files to repository
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 11:49:17 -08:00
Leonardo de Moura
ba592c845c fix(builtin): dependencies
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 11:19:17 -08:00
Leonardo de Moura
9fdf2a3f55 feat(kernel): add trust_imported flag, it skips type checking of 'pre-compiled' Lean modules
"Pre-compiled" .olean files were already type checked. The flag -t instructs to Lean to skip
type checking when importing these files.
TODO: add a check-sum.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 03:43:53 -08:00
Leonardo de Moura
411ebbc3c1 refactor(library/basic_thms): move the proof of all basic theorems to a .Lean file
This commit also adds several new theorems that are useful for implementing the simplifier.
TODO: perhaps we should remove the declarations at basic_thms.h?

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-29 03:04:49 -08:00
Leonardo de Moura
a05c815d31 chore(builtin): cleanup cmake file
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 22:27:36 -08:00
Leonardo de Moura
66178ae65a refactor(extra): move extra to builtin
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 22:06:11 -08:00
Leonardo de Moura
5e0b344871 fix(kernel/object): uninitialized variable
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 21:57:56 -08:00
Leonardo de Moura
41c1010043 feat(frontends/lean/parser): make Import command use binary Lean files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 19:20:04 -08:00
Leonardo de Moura
aee1c6d3f3 feat(kernel): export/import (.olean) binary files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 17:31:35 -08:00
Leonardo de Moura
22bebbf242 feat(kernel/object): serializer for kernel objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 14:39:10 -08:00
Leonardo de Moura
1fd81dd3a1 feat(frontends/lean/parser): disable verbose messages when importing files
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 12:24:13 -08:00
Leonardo de Moura
44a31dd8fb feat(frontends/lean/parser): improve Import command
- The extension does not have to be provided.
- It can also import Lua files.
- Hierachical names can be used instead of strings.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 12:05:01 -08:00
Leonardo de Moura
755e8b735f feat(kernel/expr): serializer for kernel expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-28 01:23:21 -08:00
Leonardo de Moura
0ef8ba2939 feat(kernel/level): serializer for level objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 23:30:13 -08:00
Leonardo de Moura
b94503ab20 chore(util/sexpr): remove unnecessary decls
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 23:24:31 -08:00
Leonardo de Moura
3715b10ce7 feat(util/sexpr/options): serialization for options
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 20:40:00 -08:00
Leonardo de Moura
dbebb4a4a1 feat(util/sexpr): serialization for sexpr
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 20:19:56 -08:00
Leonardo de Moura
9c6dc5d230 feat(util/serializer): add hackish write_double/read_double
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 19:46:45 -08:00
Leonardo de Moura
abc370a011 feat(util/numerics): serialization for mpz and mpq
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 18:32:01 -08:00
Leonardo de Moura
49df0c435d feat(util/serializer): make sure the read/write is portable
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 18:07:19 -08:00
Leonardo de Moura
d05695c331 feat(util/name): serialization for hierarchical names
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 17:47:20 -08:00
Leonardo de Moura
cbe0b8532a feat(util/serializer): add write_char and read_char
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 17:22:15 -08:00
Leonardo de Moura
b72937c02c feat(util/serializer): simple serialization infrastructure
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 16:50:06 -08:00
Leonardo de Moura
8b6421e4de feat(util/extensible_object): add template for creating 'extensible' objects
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 15:40:21 -08:00
Leonardo de Moura
8cf65f354b fix(frontends/lean/pp): forall and exists pretty printing when used as constants
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-27 12:50:41 -08:00