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148 commits

Author SHA1 Message Date
Leonardo de Moura
0d7902f9eb feat(kernel/type_checker): finish is_convertible predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-23 20:16:14 -07:00
Leonardo de Moura
9fda7e2529 fix(kernel): incorrect optimization in max_sharing_fn class 
The resultant expression may failed to be fully shared.
Add an example that demonstrates the problem.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-22 15:38:22 -07:00
Leonardo de Moura
984ac03ac7 refactor(kernel): replace kernel object with definition, disable affected files 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-17 16:10:47 -07:00
Leonardo de Moura
cb479a75ae fix(kernel/expr): make sure we cannot create a free variable with index uint_max, reason: get_free_var_range would return an incorrect value 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-17 13:25:21 -07:00
Leonardo de Moura
dc864bf7b9 feat(kernel): store free variable range in composite expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-17 11:31:48 -07:00
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
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
3939b93c2d refactor(kernel): substitution 
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
90dbdaec40 feat(kernel/expr): cache is_arrow result 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-21 13:59:45 -08:00
Leonardo de Moura
8f2fe273ea refactor(*): isolate std::thread dependency 
This commit allows us to build Lean without the pthread dependency.
It is also useful if we want to implement multi-threading on top of Boost.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-09 15:20:26 -08:00
Leonardo de Moura
2f88d6710c feat(kernel/expr): add some_expr and none_expr for building values of type optional<expr> 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-08 10:34:38 -08:00
Leonardo de Moura
25b812f1c9 feat(kernel/expr): no overhead optional<expr> template specialization 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-08 10:17:29 -08:00
Leonardo de Moura
3e1fd06903 refactor(kernel/expr): remove 'null' expression, and operator bool for expression 
After this commit, a value of type 'expr' cannot be a reference to nullptr.
This commit also fixes several bugs due to the use of 'null' expressions.

TODO: do the same for kernel objects, sexprs, etc.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-07 23:21:10 -08:00
Leonardo de Moura
c1afefb873 feat(library/fo_unify): unify heterogeneous - homogeneous equality 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-05 19:00:31 -08:00
Leonardo de Moura
3a93212d5e chore(kernel/expr): fix cpplint warning 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-27 12:59:16 -08:00
Leonardo de Moura
956f203a55 refactor(bindings/lua): move Lua bindings to the file associated with them 
The directory bindings/lua was getting too big and had too many dependencies.
Moreover, it was getting too painful to edit/maintain two different places.
Now, the bindings for module X are in the directory that defines X.
For example, the bindings for util/name.cpp are located at util/name.cpp.

The only exception is the kernel. We do not want to inflate the kernel
with Lua bindings. The bindings for the kernel classes are located
at bindings/kernel_bindings.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-26 19:15:56 -08:00
Leonardo de Moura
7f088b7635 feat(kernel): add (optional) field m_type to expr_const, this field is useful for implementing the tactic framework 
This field should not be visible in the external API.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-19 11:21:52 -08:00
Leonardo de Moura
57bf4f3e67 feat(kernel/expr): avoid recursion when deleting expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-18 18:41:08 -08:00
Leonardo de Moura
691893258d feat(kernel/expr): add hash code based on allocation time 
The new hash code has the property that given expr_cell * c1 and expr_cell * c2,
if c1 != c2 then there is a high propbability that c1->hash_alloc() != c2->hash_alloc().

The structural hash code hash() does not have this property because we may have
c1 != c2, but c1 and c2 are structurally equal.

The new hash code is only compatible with pointer equality.
By compatible we mean, if c1 == c2, then c1->hash_alloc() == c2->hash_alloc().
This property is obvious because hash_alloc() does not have side-effects.

The test tests/lua/big.lua exposes the problem fixed by this commit.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-14 02:43:11 -08:00
Leonardo de Moura
31abc00db8 chore(*): add LCOV_EXCL_LINE to lean_unreachable statements 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-11-11 09:19:38 -08:00
Leonardo de Moura
aa99ac6618 feat(kernel/value): allow semantic attachments to use coercions when being pretty printed 
For example, this feature is useful when displaying the integer value 10 with coercions enabled. In this case, we want to display "nat_to_int 10" instead of "10".

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-10-30 11:42:26 -07:00
Leonardo de Moura
7cf83800c0 refactor(metavar): implement metavar_env, and use unification_constraint and trace objects in the type_checker, light_checker 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-10-22 08:15:36 -07:00
Leonardo de Moura
59914a36f3 refactor(metavar): reorganize and simplify metavariables 
- Use hierarchical names instead of unsigned integers to identify metavariables.
- Associate type with metavariable.
- Replace metavar_env with substitution.
- Rename meta_ctx --> local_ctx
- Rename meta_entry --> local_entry
- Disable old elaborator
- Rename unification_problems to unification_constraints
- Add metavar_generator
- Fix metavar unit tests
- Modify type checker to use metavar_generator
- Fix placeholder module

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-10-22 08:15:36 -07:00
Leonardo de Moura
6477708d78 refactor(debug): improve lean_unreachable(), now we can avoid 'fake' return statements 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-25 21:27:20 -07:00
Leonardo de Moura
ba0528c298 Implement total order on expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-24 12:16:32 -07:00
Soonho Kong
ab6ca82e6f Update to suppress unused-parameter warnings 2013-09-19 22:40:34 -07:00
Leonardo de Moura
99a163f11d Simplify metavariable context. Now, we have only 'lift' and 'inst' instead of 'subst', 'lift' and 'lower' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-16 19:32:28 -07:00
Leonardo de Moura
63e102055e Move metavariables to the kernel. This is the first step for implementing the new elaborator. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-15 12:09:01 -07:00
Leonardo de Moura
26097475fd Use fullpath in #include directives. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-12 20:04:10 -07:00
Leonardo de Moura
2459c4ae7c Add (optional) type to let declarations 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-06 10:06:26 -07:00
Leonardo de Moura
d41160f8a5 Modify environment. Now, when a builtin value is declared, if it has a unicode alternative representation, then we add it as a definition. Now, everything that occurs in the environment has been 'declared'. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-04 08:53:00 -07:00
Leonardo de Moura
887f696f66 Factor duplicate code. Add more comments 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-03 23:27:58 -07:00
Leonardo de Moura
18a195029b Refactor expression equality 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-23 09:42:49 -07:00
Leonardo de Moura
cbff5ea856 Cleanup 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-16 20:40:39 -07:00
Leonardo de Moura
99219f998b Rename files sets.h and maps.h to expr_sets.h and expr_maps.h 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-15 19:02:28 -07:00
Leonardo de Moura
392b347f53 Add expr_formatter and expr_locator. Add better error messages. Improve simple printer. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-13 19:16:40 -07:00
Leonardo de Moura
11a9cac5d6 Refactor kernel objects 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-13 15:13:54 -07:00
Leonardo de Moura
2670e94398 Add pretty printer for Lean environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 19:10:12 -07:00
Leonardo de Moura
84de625ee4 Rename pp functions (that do not use format lib) to print 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 12:10:10 -07:00
Leonardo de Moura
722e2b0ed4 Reformat code (make formating more consistent) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-07 08:17:33 -07:00
Leonardo de Moura
84f4a32c0e Change name convention for creating Lean expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-06 11:27:14 -07:00
Leonardo de Moura
2986f0543e Simplify how universe variable constraints are represented in the kernel. Allow universe variable to be created without an environment. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-05 20:06:42 -07:00
Leonardo de Moura
f0ccb2a03e Rename eqp --> is_eqp. The name is too similar to heterogeneous equality constructor eq. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-04 09:41:49 -07:00
Leonardo de Moura
3f789ce2b7 Add let and heterogeneous equality. Add bool_type and bool_value. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-04 09:37:52 -07:00
Leonardo de Moura
b979436c40 Add basic semantic attachments for arithmetic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-03 19:57:06 -07:00
Leonardo de Moura
0a679074f0 Add support for semantic attachments. Remove expr_numeral 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-03 16:12:15 -07:00
Leonardo de Moura
2972bdfec3 Rename abst_type to abst_domain 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-03 16:12:12 -07:00
Leonardo de Moura
3ef9d21875 Fix bugs in type checker 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-01 21:40:39 -07:00
Leonardo de Moura
e220d7c525 Add type checker. Fix normalization with non-empty context 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-01 21:40:36 -07:00
Soonho Kong
322c2b472d Add more to expr pretty-print 2013-08-01 18:54:06 -07:00
Soonho Kong
5a89bffe83 Add pp to expr 2013-08-01 15:42:06 -07:00
Leonardo de Moura
08b750c825 Remove Prop from kernel 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-29 19:49:34 -07:00
Leonardo de Moura
6452c69b96 Use level at kernel expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-29 19:44:26 -07:00
Leonardo de Moura
f7138b6ecf Fix normalize 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-25 19:13:45 -07:00
Leonardo de Moura
59592ed36b Add deep copy for kernel expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:32 -07:00
Leonardo de Moura
ceb6537e3a Fix race condition when updating expression flags: max_shared and closed 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:32 -07:00
Leonardo de Moura
4b61639f4d Use consistent naming for functional objects 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:32 -07:00
Leonardo de Moura
ed6d6483fe Rename abst_expr -> abst_body 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:32 -07:00
Leonardo de Moura
9fd88e6e27 Add small demo 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:32 -07:00
Leonardo de Moura
54a02b4fc7 Simplify expr accessor names 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:31 -07:00
Leonardo de Moura
2c3fc09e3c Add has_free_vars/closed function 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:31 -07:00
Leonardo de Moura
6a2c9ef076 Rename/Reorg some kernel files 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:31 -07:00
Leonardo de Moura
90f498994a Add some overloads 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-24 14:56:31 -07:00
Leonardo de Moura
dd74284fdc Cleanup eq_functor 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-23 09:12:15 -07:00
Leonardo de Moura
5aa25a635f Add max_shared flag to expr_cell. Improve app constructor. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-23 08:59:39 -07:00
Leonardo de Moura
2a9d0de57b Add max_shared: function for computing maximally shared expressions. 2013-07-22 19:31:27 -07:00
Leonardo de Moura
aed8a07c1b Add sexpr test 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-22 19:02:11 -07:00
Leonardo de Moura
06320c8615 Replace expr == with recursive function. Add goodies for traversing expressions. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-22 16:40:17 -07:00
Leonardo de Moura
c4cd6c4f84 Add tests for kernel expression 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-22 13:04:27 -07:00
Leonardo de Moura
c32dfe22b6 Add expressions (dependent type theory) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-07-22 12:46:11 -07:00