Commit graph

1882 commits

Author SHA1 Message Date
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